id stringlengths 25 25 | question stringlengths 45 1.01k | chain stringlengths 75 4.11k | result stringclasses 5 values | result_float float64 -4,212 100B | question_without_options stringlengths 6 962 | options dict | annotated_formula stringlengths 7 6.48k | linear_formula stringlengths 8 925 | rationale stringlengths 1 2.74k | category stringclasses 6 values |
|---|---|---|---|---|---|---|---|---|---|---|
math_qa__H0famAIHbEQZsYfx | The only items of clothing at Michelle’s Boutique are 4 shirts, 8 pairs of pants and 18 ties. What is the probability of randomly selecting 2 ties out of all the items in Michelle’s Boutique? Choose the correct choice from the following
A) 51 / 145 B) 9 / 25 C) 3 / 5 D) 94 / 145 E) 5 / 6 | <gadget id="calculator">binomial(18, 2)</gadget>
<output>153</output>
<gadget id="calculator">4 + 8</gadget>
<output>12</output>
<gadget id="calculator">12 + 18</gadget>
<output>30</output>
<gadget id="calculator">binomial(30, 2)</gadget>
<output>435</output>
<gadget id="calculator">153 / 435</gadget>
<output>51/145 = around 0.351724</output>
<result>A</result> | A | 0.351724 | The only items of clothing at Michelle’s Boutique are 4 shirts, 8 pairs of pants and 18 ties. What is the probability of randomly selecting 2 ties out of all the items in Michelle’s Boutique? | {
"A": "51 / 145",
"B": "9 / 25",
"C": "3 / 5",
"D": "94 / 145",
"E": "5 / 6"
} | divide(choose(18, const_2), choose(add(add(4, 8), 18), const_2)) | add(n0,n1)|choose(n2,const_2)|add(n2,#0)|choose(#2,const_2)|divide(#1,#3) | we have 4 shirts , 8 pairs of pants and 18 ties . i . e 30 items total ways of picking two items out of all = 30 c 2 = 435 total ways of picking two items out of all ties = 18 c 2 = 153 required probability = 153 / 435 = 51 / 145 answer : option a | probability |
math_qa__P2ixUyTjjzqDxfA2 | In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 26 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students? Choose the most appropriate option.
A) 32 B) 40 C) 48 D) 54 E) 60 | <gadget id="calculator">160 / 800</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 100</gadget>
<output>20</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 - 26</gadget>
<output>54</output>
<gadget id="calculator">100 - 75</gadget>
<output>25</output>
<gadget id="calculator">54 - 25</gadget>
<output>29</output>
<gadget id="calculator">29 * 800</gadget>
<output>23_200</output>
<gadget id="calculator">23_200 / 100</gadget>
<output>232</output>
<gadget id="calculator">25 * 800</gadget>
<output>20_000</output>
<gadget id="calculator">20_000 / 100</gadget>
<output>200</output>
<gadget id="calculator">232 - 200</gadget>
<output>32</output>
<result>A</result> | A | 32 | In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 26 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students? | {
"A": "32",
"B": "40",
"C": "48",
"D": "54",
"E": "60"
} | subtract(divide(multiply(subtract(subtract(subtract(const_100, multiply(divide(160, 800), const_100)), 26), subtract(const_100, 75)), 800), const_100), divide(multiply(subtract(const_100, 75), 800), const_100)) | divide(n3,n0)|subtract(const_100,n2)|multiply(#0,const_100)|multiply(n0,#1)|divide(#3,const_100)|subtract(const_100,#2)|subtract(#5,n1)|subtract(#6,#1)|multiply(n0,#7)|divide(#8,const_100)|subtract(#9,#4)| | "200 are sophomores . the number of freshmen is 600 - 160 - 0.26 ( 800 ) = 232 the answer is a ." | gain |
math_qa__uKipGNqSb96rPO5R | Mary and Mike enter into a partnership by investing $900 and $100 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1600 more than Mike did, what was the profit made by their business in that year? Choose the correct option:
A) $ 3500 B) $ 3400 C) $ 3300 D) $ 3200 E) $ 3000 | <gadget id="calculator">900 / 1_000</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">100 / 1_000</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(9/10) - (1/10)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(4/5) * (2/3)</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">1_600 / (8/15)</gadget>
<output>3_000</output>
<result>E</result> | E | 3,000 | Mary and Mike enter into a partnership by investing $900 and $100 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1600 more than Mike did, what was the profit made by their business in that year? | {
"A": "$ 3500",
"B": "$ 3400",
"C": "$ 3300",
"D": "$ 3200",
"E": "$ 3000"
} | divide(1600, multiply(subtract(divide(900, const_1000), divide(100, const_1000)), subtract(const_1, divide(const_1, const_3)))) | divide(n0,const_1000)|divide(n1,const_1000)|divide(const_1,const_3)|subtract(#0,#1)|subtract(const_1,#2)|multiply(#3,#4)|divide(n2,#5)| | "explanatory answer let the profit made during the year be $ 3 x therefore , $ x would have been shared equally and the remaining $ 2 x would have been shared in the ratio 9 : 1 . i . e . , 90 % of 2 x would go to mary and 10 % of 2 x would go to mike . hence , mary would get ( 90 - 10 ) % of 2 x more than mike or 80 % of 2 x = $ 1600 i . e . , ( 60 / 100 ) * 2 x = 1600 or 2 x = 2000 . hence , the profit made by the company during the year $ 3 x = $ 3000 . answer : e" | general |
math_qa__2uf8ekK7HccupKYs | If 63 percent of a class answered the first question on a certain test correctly, 49 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly? Choose the correct choice from the following choices.
A) 22 % B) 24 % C) 26 % D) 28 % E) 32 % | <gadget id="calculator">63 + 49</gadget>
<output>112</output>
<gadget id="calculator">112 + 20</gadget>
<output>132</output>
<gadget id="calculator">132 - 100</gadget>
<output>32</output>
<result>E</result> | E | 32 | If 63 percent of a class answered the first question on a certain test correctly, 49 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly? | {
"A": "22 %",
"B": "24 %",
"C": "26 %",
"D": "28 %",
"E": "32 %"
} | subtract(add(add(63, 49), 20), const_100) | add(n0,n1)|add(n2,#0)|subtract(#1,const_100)| | "63 % answered the first question correctly and 20 % answered neither correctly . then 17 % missed the first question but answered the second question correctly . then the percent who answered both correctly is 49 % - 17 % = 32 % . the answer is e ." | other |
math_qa__RFw3qWUGFvTYY9ML | The speed of a boat in still water is 12 kmph. What is the speed of the stream if the boat can cover 32 km downstream or 16 km upstream in the same time? Choose the correct answer.
A) 5 kmph B) 6 kmph C) 7 kmph D) 4 kmph E) 10 kmph | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">12 / 3</gadget>
<output>4</output>
<result>D</result> | D | 4 | The speed of a boat in still water is 12 kmph. What is the speed of the stream if the boat can cover 32 km downstream or 16 km upstream in the same time? | {
"A": "5 kmph",
"B": "6 kmph",
"C": "7 kmph",
"D": "4 kmph",
"E": "10 kmph"
} | divide(12, add(const_1, const_2)) | add(const_1,const_2)|divide(n0,#0)| | "x = the speed of the stream ( 12 + x ) / ( 12 - x ) = 2 / 1 12 + x = 24 - 2 x 3 x = 12 x = 4 km / hour if the speed of the stream is 4 km / hour , then the ' downstream ' speed of the boat is 12 + 4 = 16 km / hour and the ' upstream ' speed of the boat is 12 - 4 = 8 km / hour . in that way , if the boat traveled for 2 hours , it would travel 2 x 8 = 16 km downstream and 2 x 16 = 32 km / hour upstream . answer : d" | physics |
math_qa__ObLZCLctr3HHpnr7 | The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is? Choose the correct answer.
A) 2 : 7
B) 2 : 3
C) 2 : 1
D) 2 : 9
E) 2 : 2 | <gadget id="calculator">15.8 - 15.4</gadget>
<output>0.4</output>
<gadget id="calculator">16.4 - 15.8</gadget>
<output>0.6</output>
<gadget id="calculator">0.4 / 0.6</gadget>
<output>0.666667</output>
<result>B</result> | B | 0.666667 | The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is? | {
"A": "2 : 7",
"B": "2 : 3",
"C": "2 : 1",
"D": "2 : 9",
"E": "2 : 2"
} | divide(subtract(15.8, 15.4), subtract(16.4, 15.8)) | subtract(n0,n2)|subtract(n1,n0)|divide(#0,#1)| | "let the ratio be k : 1 . then , k * 16.4 + 1 * 15.4 = ( k + 1 ) * 15.8 = ( 16.4 - 15.8 ) k = ( 15.8 - 15.4 ) = k = 0.4 / 0.6 = 2 / 3 required ratio = 2 / 3 : 1 = 2 : 3 . answer : option b explanation : let the ratio be k : 1 . then , k * 16.4 + 1 * 15.4 = ( k + 1 ) * 15.8 = ( 16.4 - 15.8 ) k = ( 15.8 - 15.4 ) = k = 0.4 / 0.6 = 2 / 3 required ratio = 2 / 3 : 1 = 2 : 3 . answer : b" | general |
math_qa__EoX4YzUZOBoEiYU8 | a birthday child reaches into a bag filled with toys ( 1 yo - yo , 1 ball , 1 whistle , and 1 box crayons ) . if the child randomly picks 3 toys , what is the probability the child will pick the yo - yo and a ball as two of the 3 toys ?
Choose the correct choice from the following: A) 1 / 3 B) 1 / 2 C) 1 / 4 D) 1 / 5 E) 2 / 5 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>B</result> | B | 0.5 | a birthday child reaches into a bag filled with toys ( 1 yo - yo , 1 ball , 1 whistle , and 1 box crayons ) . if the child randomly picks 3 toys , what is the probability the child will pick the yo - yo and a ball as two of the 3 toys ? | {
"A": "1 / 3",
"B": "1 / 2",
"C": "1 / 4",
"D": "1 / 5",
"E": "2 / 5"
} | divide(1, const_2) | divide(n0,const_2) | combination formula : ncr = n ! / ( r ! ( n - r ) ! ) , where n is the population / set , and r is the sample / subset . total number possible = 4 c 3 - 4 ! / ( 3 ! ( 4 - 3 ) ! ) = 4 number yo - yo possible = 1 c 1 = 1 number ball possible = 1 c 1 = 1 number other possible = 2 c 1 = 2 probability formula : p ( a ) = ( number favorable outcomes ) / ( total number possible outcomes ) p ( yb ) = ( 1 c 1 ) ( 1 c 1 ) ( 2 c 1 ) / 4 c 3 = 2 / 4 = 1 / 2 answer : b | physics |
math_qa__8V9omEebBnFRfQKI | Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $580 (before payroll deductions)?
Choose one: A) 400 B) 500 C) 600 D) 700 E) 800 | <gadget id="calculator">12.5 * 40</gadget>
<output>500</output>
<gadget id="calculator">580 - 500</gadget>
<output>80</output>
<gadget id="calculator">80 / 0.16</gadget>
<output>500</output>
<result>B</result> | B | 500 | Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $580 (before payroll deductions)? | {
"A": "400",
"B": "500",
"C": "600",
"D": "700",
"E": "800"
} | divide(subtract(580, multiply(12.50, 40)), 0.16) | multiply(n0,n2)|subtract(n3,#0)|divide(#1,n1)| | "total pay = 40 * $ 12.50 + $ 0.16 * x = 580 x = 80 / 0.16 = 500 the answer is b ." | physics |
math_qa__WmdK91f70cS1p6PP | Find the least number of complete years in which a sum of money put out at 15% compound interest will be more than double of itself? Pick
A) 5 B) 6 C) 7 D) 8 E) 9 | <gadget id="calculator">log(2)</gadget>
<output>log(2) = around 0.693147</output>
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 + (3/20)</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">log(23/20)</gadget>
<output>log(23/20) = around 0.139762</output>
<gadget id="calculator">log(2) / log(23/20)</gadget>
<output>log(2)/log(23/20) = around 4.959484</output>
<gadget id="calculator">(log(2)/log(23/20)) + 1</gadget>
<output>1 + log(2)/log(23/20) = around 5.959484</output>
<gadget id="calculator">floor(1 + log(2)/log(23/20))</gadget>
<output>5</output>
<result>A</result> | A | 5 | Find the least number of complete years in which a sum of money put out at 15% compound interest will be more than double of itself? | {
"A": "5",
"B": "6",
"C": "7",
"D": "8",
"E": "9"
} | floor(add(divide(log(const_2), log(add(const_1, divide(15, const_100)))), const_1)) | divide(n0,const_100)|log(const_2)|add(#0,const_1)|log(#2)|divide(#1,#3)|add(#4,const_1)|floor(#5)| | "5 years answer : a" | general |
math_qa__s9AaGutwg1MGQpEV | Jim’s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.3 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles? Pick one:
A) $ 3.15 B) $ 4.95 C) $ 4.80 D) $ 5.05 E) $ 5.40 | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3.6 / (2/5)</gadget>
<output>9</output>
<gadget id="calculator">9 * 0.3</gadget>
<output>2.7</output>
<gadget id="calculator">2.7 + 2.25</gadget>
<output>4.95</output>
<result>B</result> | B | 4.95 | Jim’s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.3 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles? | {
"A": "$ 3.15",
"B": "$ 4.95",
"C": "$ 4.80",
"D": "$ 5.05",
"E": "$ 5.40"
} | add(multiply(divide(3.6, divide(2, 5)), 0.3), 2.25) | divide(n2,n3)|divide(n4,#0)|multiply(n1,#1)|add(n0,#2) | let the fixed charge of jim â € ™ s taxi service = 2.25 $ and charge per 2 / 5 mile ( . 4 mile ) = . 3 $ total charge for a trip of 3.6 miles = 2.25 + ( 3.6 / . 4 ) * . 3 = 2.25 + 9 * . 3 = 4.95 $ answer b | general |
math_qa__VuH1W4qbmhHBLAvc | In what time will a train 90 meters long cross an electric pole, if its speed is 124 km/hr Choose the correct choice from the following options:
A) 5 seconds B) 4.5 seconds C) 3 seconds D) 2.6 seconds E) none of these | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">124 * (5/18)</gadget>
<output>310/9 = around 34.444444</output>
<gadget id="calculator">90 / (310/9)</gadget>
<output>81/31 = around 2.612903</output>
<result>D</result> | D | 2.6 | In what time will a train 90 meters long cross an electric pole, if its speed is 124 km/hr | {
"A": "5 seconds",
"B": "4.5 seconds",
"C": "3 seconds",
"D": "2.6 seconds",
"E": "none of these"
} | divide(90, multiply(124, const_0_2778)) | multiply(n1,const_0_2778)|divide(n0,#0)| | "explanation : first convert speed into m / sec speed = 124 * ( 5 / 18 ) = 34 m / sec time = distance / speed = 90 / 34 = 2.6 seconds option d" | physics |
math_qa__M0H32nxk1eLGIlNz | What is the rate percent when the simple interest on Rs.600 amount to Rs.160 in 4 Years? Pick one.
A) 6.66 % B) 7.66 % C) 6.06 % D) 6.16 % E) 8.66 % | <gadget id="calculator">100 * 160</gadget>
<output>16_000</output>
<gadget id="calculator">600 * 4</gadget>
<output>2_400</output>
<gadget id="calculator">16_000 / 2_400</gadget>
<output>20/3 = around 6.666667</output>
<result>A</result> | A | 6.66 | What is the rate percent when the simple interest on Rs.600 amount to Rs.160 in 4 Years? | {
"A": "6.66 %",
"B": "7.66 %",
"C": "6.06 %",
"D": "6.16 %",
"E": "8.66 %"
} | divide(multiply(const_100, 160), multiply(600, 4)) | multiply(n1,const_100)|multiply(n0,n2)|divide(#0,#1)| | "160 = ( 600 * 4 * r ) / 100 r = 6.66 % answer : a" | gain |
math_qa__5arWU6lpGc83I5V8 | A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 3000 as profit , what is their total profit? Choose the correct choice from the following answers:
A) 21000 B) 30000 C) 32000 D) 34000 E) none of these | <gadget id="calculator">1 * 1</gadget>
<output>1</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">3_000 / (1/7)</gadget>
<output>21_000</output>
<result>A</result> | A | 21,000 | A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 3000 as profit , what is their total profit? | {
"A": "21000",
"B": "30000",
"C": "32000",
"D": "34000",
"E": "none of these"
} | divide(3000, divide(multiply(const_1, const_1), add(multiply(const_3, const_2), multiply(const_1, const_1)))) | multiply(const_1,const_1)|multiply(const_2,const_3)|add(#1,#0)|divide(#0,#2)|divide(n0,#3)| | "explanation : suppose b ' s investment = x . then a ' s investment = 3 x suppose bs period of investment = y , then a ' s period of investment = 2 y a : b = 3 x * 2 y : xy = 6 : 1 total profit * 1 / 7 = 3000 = > total profit = 3000 * 7 = 21000 . answer : option a" | general |
math_qa__HqPlMdnDvYySqYyZ | A person crosses a 1080 m long street in 10 minutes. What is his speed in km per hour? Choose the correct choice from the following answers:
A) 4.1 B) 6.4 C) 4.8 D) 5.4 E) 5.5 | <gadget id="calculator">1_080 / 1_000</gadget>
<output>27/25 = around 1.08</output>
<gadget id="calculator">10 * 60</gadget>
<output>600</output>
<gadget id="calculator">600 / 3_600</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(27/25) / (1/6)</gadget>
<output>162/25 = around 6.48</output>
<result>B</result> | B | 6.4 | A person crosses a 1080 m long street in 10 minutes. What is his speed in km per hour? | {
"A": "4.1",
"B": "6.4",
"C": "4.8",
"D": "5.4",
"E": "5.5"
} | divide(divide(1080, const_1000), divide(multiply(10, const_60), const_3600)) | divide(n0,const_1000)|multiply(n1,const_60)|divide(#1,const_3600)|divide(#0,#2)| | "speed = 1080 / ( 10 x 60 ) m / sec = 1.8 m / sec . converting m / sec to km / hr = 1.8 x ( 18 / 5 ) km / hr = 6.4 km / hr . answer : b" | physics |
math_qa__ip4nK5QS3Xf3uu0i | Exactly 12% of the reporters for a certain wire service cover local politics in Country X. If 40% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics? Choose the correct answer.
A) 20 % B) 42 % C) 44 % D) 80 % E) 84 % | <gadget id="calculator">100 - 40</gadget>
<output>60</output>
<gadget id="calculator">12 / 60</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * 100</gadget>
<output>80</output>
<result>D</result> | D | 80 | Exactly 12% of the reporters for a certain wire service cover local politics in Country X. If 40% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics? | {
"A": "20 %",
"B": "42 %",
"C": "44 %",
"D": "80 %",
"E": "84 %"
} | multiply(subtract(const_1, divide(12, subtract(const_100, 40))), const_100) | subtract(const_100,n1)|divide(n0,#0)|subtract(const_1,#1)|multiply(#2,const_100)| | "let ' s assume there are 100 reporters - - > 12 reporters cover local politics . now , as 40 % of the reporters who cover all politics do not cover local politics then the rest 60 % of the reporters who cover politics do cover local politics , so if there are x reporters who cover politics then 60 % of them equal to 12 ( # of reporters who cover local politics ) : 0.6 x = 12 - - > x = 20 , hence 20 reporters cover politics and the rest 100 - 20 = 80 reporters do not cover politics at all . answer : d ." | gain |
math_qa__sglGeaScW8OUBLvV | A man can row his boat with the stream at 6 km/h and against the stream in 3 km/h. The man's rate is? Choose the correct option
A) 1.5 kmph
B) 3 kmph
C) 8 kmph
D) 7 kmph
E) 5 kmph | <gadget id="calculator">6 - 3</gadget>
<output>3</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<result>A</result> | A | 1.5 | A man can row his boat with the stream at 6 km/h and against the stream in 3 km/h. The man's rate is? | {
"A": "1.5 kmph",
"B": "3 kmph",
"C": "8 kmph",
"D": "7 kmph",
"E": "5 kmph"
} | divide(subtract(6, 3), const_2) | subtract(n0,n1)|divide(#0,const_2)| | "ds = 6 us = 3 s = ? s = ( 6 - 3 ) / 2 = 1.5 kmph answer : a" | gain |
math_qa__bdu24glJxSaG3vtx | Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Choose the correct choice from the following answers
A) 3 hours B) 6 hours C) 4 hours D) 8 hours E) 10 hours | <gadget id="calculator">32 / 6</gadget>
<output>16/3 = around 5.333333</output>
<gadget id="calculator">40 / 5</gadget>
<output>8</output>
<gadget id="calculator">(16/3) + 8</gadget>
<output>40/3 = around 13.333333</output>
<gadget id="calculator">110 / (40/3)</gadget>
<output>33/4 = around 8.25</output>
<result>D</result> | D | 8 | Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages? | {
"A": "3 hours",
"B": "6 hours",
"C": "4 hours",
"D": "8 hours",
"E": "10 hours"
} | divide(110, add(divide(32, 6), divide(40, 5))) | divide(n1,n0)|divide(n3,n2)|add(#0,#1)|divide(n4,#2) | number of pages typed by ronald in one hour = 32 / 6 = 16 / 3 number of pages typed by elan in one hour = 40 / 5 = 8 number of pages typed by both in one hour = ( ( 16 / 3 ) + 8 ) = 40 / 3 therefore , time taken by both to type 110 pages = 110 x 3 / 40 = 8 hours . answer : d | physics |
math_qa__hfWHOSLktKTR8XRk | An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is?
Pick one
A) 4.04 %
B) 5 %
C) 7 %
D) 9 %
E) 11 % | <gadget id="calculator">100 + 2</gadget>
<output>102</output>
<gadget id="calculator">102 ** 2</gadget>
<output>10_404</output>
<gadget id="calculator">100 ** 2</gadget>
<output>10_000</output>
<gadget id="calculator">10_404 - 10_000</gadget>
<output>404</output>
<gadget id="calculator">404 * 100</gadget>
<output>40_400</output>
<gadget id="calculator">40_400 / 10_000</gadget>
<output>101/25 = around 4.04</output>
<result>A</result> | A | 4.04 | An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is? | {
"A": "4.04 %",
"B": "5 %",
"C": "7 %",
"D": "9 %",
"E": "11 %"
} | divide(multiply(subtract(square_area(add(const_100, 2)), square_area(const_100)), const_100), square_area(const_100)) | add(n0,const_100)|square_area(const_100)|square_area(#0)|subtract(#2,#1)|multiply(#3,const_100)|divide(#4,#1)| | "100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 102 x 102 ) cm 2 . ( a 2 - a 1 ) = [ ( 102 ) 2 - ( 100 ) 2 ] = ( 102 + 100 ) x ( 102 - 100 ) = 404 cm 2 . percentage error = 404 x 100 % = 4.04 % 100 x 100 a )" | gain |
math_qa__PVvxnhiQ5qyGotjF | A train 441 m long can cross an electric pole in 21 sec and then find the speed of the train? Choose the most appropriate option:
A) 88 kmph B) 89 kmph C) 76 kmph D) 16 kmph E) 18 kmph | <gadget id="calculator">441 / 1_000</gadget>
<output>441/1_000 = around 0.441</output>
<gadget id="calculator">21 / 3_600</gadget>
<output>7/1_200 = around 0.005833</output>
<gadget id="calculator">(441/1_000) / (7/1_200)</gadget>
<output>378/5 = around 75.6</output>
<result>C</result> | C | 76 | A train 441 m long can cross an electric pole in 21 sec and then find the speed of the train? | {
"A": "88 kmph",
"B": "89 kmph",
"C": "76 kmph",
"D": "16 kmph",
"E": "18 kmph"
} | divide(divide(441, const_1000), divide(21, const_3600)) | divide(n0,const_1000)|divide(n1,const_3600)|divide(#0,#1) | length = speed * time speed = l / t s = 441 / 21 s = 21 m / sec speed = 20 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 76 kmph answer : c | physics |
math_qa__n5sxpHTLCZBtlODf | A can run 4 times as fast as B and gives B a start of 75 m. How long should the race course be so that A and B might reach in the same time? Choose the correct choice from the following options:
A) 70 m B) 60 m C) 100 m D) 65 m E) 75 m | <gadget id="calculator">75 / 4</gadget>
<output>75/4 = around 18.75</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">(75/4) / 3</gadget>
<output>25/4 = around 6.25</output>
<gadget id="calculator">4 * (25/4)</gadget>
<output>25</output>
<gadget id="calculator">25 + 75</gadget>
<output>100</output>
<result>C</result> | C | 100 | A can run 4 times as fast as B and gives B a start of 75 m. How long should the race course be so that A and B might reach in the same time? | {
"A": "70 m",
"B": "60 m",
"C": "100 m",
"D": "65 m",
"E": "75 m"
} | add(multiply(4, divide(divide(75, 4), subtract(4, const_1))), 75) | divide(n1,n0)|subtract(n0,const_1)|divide(#0,#1)|multiply(n0,#2)|add(n1,#3)| | "speed of a : speed of b = 4 : 1 means in a race of 4 m a gains 3 m . then in a race of 75 m he gains 75 * ( 4 / 3 ) i . e 100 m answer : c" | physics |
math_qa__z3uDMzz5Y99Aw34W | When the price of an article was reduced by 15% its sale increased by 80%. What was the net effect on the sale? Select:
A) 44 % increase B) 44 % decrease C) 53 % increase D) 66 % increase E) 66 % decrease | <gadget id="calculator">80 + 100</gadget>
<output>180</output>
<gadget id="calculator">100 - 15</gadget>
<output>85</output>
<gadget id="calculator">180 * 85</gadget>
<output>15_300</output>
<gadget id="calculator">15_300 / 100</gadget>
<output>153</output>
<gadget id="calculator">153 - 100</gadget>
<output>53</output>
<result>C</result> | C | 53 | When the price of an article was reduced by 15% its sale increased by 80%. What was the net effect on the sale? | {
"A": "44 % increase",
"B": "44 % decrease",
"C": "53 % increase",
"D": "66 % increase",
"E": "66 % decrease"
} | subtract(divide(multiply(add(80, const_100), subtract(const_100, 15)), const_100), const_100) | add(n1,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|subtract(#3,const_100) | if n items are sold for $ p each , revenue is $ np . if we reduce the price by 15 % , the new price is 0.85 p . if we increase the number sold by 80 % , the new number sold is 1.8 n . so the new revenue is ( 0.85 p ) ( 1.8 n ) = 1.53 np , which is 1.53 times the old revenue , so is 53 % greater . answer : c | gain |
math_qa__m2xLxYcKR1gLzVht | A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 64 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ? Select
A) 16 % B) 32 % C) 48 % D) 82 % E) 92 % | <gadget id="calculator">100 - 64</gadget>
<output>36</output>
<gadget id="calculator">36 / 2</gadget>
<output>18</output>
<gadget id="calculator">100 - 18</gadget>
<output>82</output>
<result>D</result> | D | 82 | A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 64 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ? | {
"A": "16 %",
"B": "32 %",
"C": "48 %",
"D": "82 %",
"E": "92 %"
} | subtract(const_100, divide(subtract(const_100, 64), const_2)) | subtract(const_100,n0)|divide(#0,const_2)|subtract(const_100,#1)| | "this is easiest to solve with a bell - curve histogram . m here is equal to µ in the gaussian normal distribution and thus m = 50 % of the total population . so , if 64 % is one st . dev , then on either side of m we have 64 / 2 = 32 % . so , 32 % are to the right and left of m ( = 50 % ) . in other words , our value m + d = 50 + 32 = 82 % goingfrom the mean m , to the right of the distributionin the bell shaped histogram . . this means that 82 % of the values are below m + d . like i said , doing it on a bell - curve histogram is much easier to fullygethow this works , or you could apply gmat percentile jargon / theory to it d" | general |
math_qa__pOlWgitEY7v8ieUy | Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 27 sec. The length of each train is? Select the correct option:
A) 50
B) 37.5
C) 27
D) 28
E) 21 | <gadget id="calculator">46 - 36</gadget>
<output>10</output>
<gadget id="calculator">10 * 1_000</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 / 3_600</gadget>
<output>25/9 = around 2.777778</output>
<gadget id="calculator">27 * (25/9)</gadget>
<output>75</output>
<gadget id="calculator">75 / 2</gadget>
<output>75/2 = around 37.5</output>
<result>B</result> | B | 37.5 | Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 27 sec. The length of each train is? | {
"A": "50",
"B": "37.5",
"C": "27",
"D": "28",
"E": "21"
} | divide(multiply(27, divide(multiply(subtract(46, 36), const_1000), const_3600)), const_2) | subtract(n0,n1)|multiply(#0,const_1000)|divide(#1,const_3600)|multiply(n2,#2)|divide(#3,const_2) | let the length of each train be x m . then , distance covered = 2 x m . relative speed = 46 - 36 = 10 km / hr . = 10 * 5 / 18 = 25 / 9 m / sec . 2 x / 27 = 25 / 9 = > x = 37.5 . answer : b | general |
math_qa__3cst9DLfozbmosUk | Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $7 more than 1/4 of the fine and Peter paid $7 less than 1/3 of the fine, leaving pay $12 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?
Answers: A) $ 65 B) $ 55 C) $ 50 D) $ 60 E) $ 45 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/4) + (1/3)</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">(1/2) + (7/12)</gadget>
<output>13/12 = around 1.083333</output>
<gadget id="calculator">(13/12) * 12</gadget>
<output>13</output>
<gadget id="calculator">13 + 12</gadget>
<output>25</output>
<gadget id="calculator">25 * 2</gadget>
<output>50</output>
<gadget id="calculator">50 + 10</gadget>
<output>60</output>
<result>D</result> | D | 60 | Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $7 more than 1/4 of the fine and Peter paid $7 less than 1/3 of the fine, leaving pay $12 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay? | {
"A": "$ 65",
"B": "$ 55",
"C": "$ 50",
"D": "$ 60",
"E": "$ 45"
} | add(multiply(add(multiply(add(divide(1, 2), add(divide(1, 4), divide(1, 3))), 12), 12), 2), const_10) | divide(n1,n2)|divide(n1,n5)|divide(n1,n8)|add(#0,#1)|add(#3,#2)|multiply(n6,#4)|add(n6,#5)|multiply(n8,#6)|add(#7,const_10) | call the fine f . joe paid ( 1 / 4 ) f + 4 and peter paid ( 1 / 3 ) f – 4 , leaving ( 1 / 2 ) f – 5 left . if we add those three up , they should add up to f . f = [ ( 1 / 4 ) f + 7 ] + [ ( 1 / 3 ) f – 7 ] + [ ( 1 / 2 ) f – 12 ] f = ( 1 / 4 ) f + ( 1 / 3 ) f + ( 1 / 2 ) f – 12 multiply all terms by 12 to clear the fractions . 12 f = 3 f + 4 f + 6 f – 144 12 f = 13 f – 144 – f = – 144 f = 144 well , if the fine cost $ 144 , then sam paid the part not covered by joe or peter . half the fine is $ 72 , and sam paid $ 12 less than this : $ 60 . answer = d | general |
math_qa__ur91jxoZoj6ReNls | If two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively, how many minutes will it take for them to meet? Pick one: A) 90 B) 100 C) 110 D) 120 E) 130 | <gadget id="calculator">444 + 555</gadget>
<output>999</output>
<gadget id="calculator">1_998 / 999</gadget>
<output>2</output>
<gadget id="calculator">2 * 60</gadget>
<output>120</output>
<result>D</result> | D | 120 | If two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively, how many minutes will it take for them to meet? | {
"A": "90",
"B": "100",
"C": "110",
"D": "120",
"E": "130"
} | multiply(divide(1998, add(444, 555)), const_60) | add(n1,n2)|divide(n0,#0)|multiply(#1,const_60)| | "the projectiles travel a total of 999 km per hour . the time to meet is 1998 / 999 = 2 hours = 120 minutes the answer is d ." | physics |
math_qa__9CS5MTKEMHTxbehy | After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 5650 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ? Choose the correct choice from the following answers: A) 2160 B) 2350 C) 2000 D) 2300 E) none of these | <gadget id="calculator">5_000 + 1_500</gadget>
<output>6_500</output>
<gadget id="calculator">6_500 + 4_500</gadget>
<output>11_000</output>
<gadget id="calculator">11_000 + 2_500</gadget>
<output>13_500</output>
<gadget id="calculator">13_500 + 2_000</gadget>
<output>15_500</output>
<gadget id="calculator">15_500 + 5_650</gadget>
<output>21_150</output>
<gadget id="calculator">21_150 * 100</gadget>
<output>2_115_000</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">2_115_000 / 90</gadget>
<output>23_500</output>
<gadget id="calculator">23_500 - 21_150</gadget>
<output>2_350</output>
<result>B</result> | B | 2,350 | After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 5650 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ? | {
"A": "2160",
"B": "2350",
"C": "2000",
"D": "2300",
"E": "none of these"
} | subtract(divide(multiply(add(add(add(add(add(5000, 1500), 4500), 2500), 2000), 5650), const_100), subtract(const_100, const_10)), add(add(add(add(add(5000, 1500), 4500), 2500), 2000), 5650)) | add(n0,n1)|subtract(const_100,const_10)|add(n2,#0)|add(n3,#2)|add(n4,#3)|add(n5,#4)|multiply(#5,const_100)|divide(#6,#1)|subtract(#7,#5) | explanation : total exp = 5000 + 1500 + 4500 + 2500 + 2000 + 5650 = 21150 exp in % = 100 - 10 = 90 % , 21150 = 90 % saving = 10 % = 21150 x 10 / 90 = rs . 2350 answer : b | general |
math_qa__vOpNi2xHvIcKE2A8 | A large box contains 15 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box? Choose the correct answer.
A) 220 B) 490 C) 375 D) 450 E) 690 | <gadget id="calculator">15 * 25</gadget>
<output>375</output>
<result>C</result> | C | 375 | A large box contains 15 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box? | {
"A": "220",
"B": "490",
"C": "375",
"D": "450",
"E": "690"
} | multiply(15, 25) | multiply(n0,n1)| | "the only thing you have to do is a simple multiply we have : 15 * 25 = 375 correct answer is : c ) 375" | general |
math_qa__4cJVymjXbObybcf1 | An assembly line produces 90 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately decreased so that it only produces 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time? Choose the correct option:
A) 68
B) 69
C) 70
D) 71
E) 72 | <gadget id="calculator">60 * 2</gadget>
<output>120</output>
<gadget id="calculator">60 / 90</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) + 1</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">120 / (5/3)</gadget>
<output>72</output>
<result>E</result> | E | 72 | An assembly line produces 90 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately decreased so that it only produces 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time? | {
"A": "68",
"B": "69",
"C": "70",
"D": "71",
"E": "72"
} | divide(multiply(60, const_2), add(divide(60, 90), const_1)) | divide(n1,n0)|multiply(n1,const_2)|add(#0,const_1)|divide(#1,#2)| | "the time to produce the first 60 cogs is 60 / 90 = 2 / 3 hours . the time to produce the next 60 cogs is 60 / 60 = 1 hour . the average output is 120 cogs / ( 5 / 3 ) hours = 72 cogs per hour . the answer is e ." | general |
math_qa__0TxnaTdh7mSzQ8Dq | There has been successive increases of 25% and then 15% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change? Choose the correct choice from the following choices:
A) 30 %
B) 50 %
C) 66.66 %
D) 15 %
E) 75 % | <gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">125 * 15</gadget>
<output>1_875</output>
<gadget id="calculator">1_875 / 100</gadget>
<output>75/4 = around 18.75</output>
<gadget id="calculator">125 + (75/4)</gadget>
<output>575/4 = around 143.75</output>
<gadget id="calculator">100 / (575/4)</gadget>
<output>16/23 = around 0.695652</output>
<gadget id="calculator">1 - (16/23)</gadget>
<output>7/23 = around 0.304348</output>
<gadget id="calculator">(7/23) * 100</gadget>
<output>700/23 = around 30.434783</output>
<result>A</result> | A | 30 | There has been successive increases of 25% and then 15% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change? | {
"A": "30 %",
"B": "50 %",
"C": "66.66 %",
"D": "15 %",
"E": "75 %"
} | multiply(subtract(const_1, divide(const_100, add(add(const_100, 25), divide(multiply(add(const_100, 25), 15), const_100)))), const_100) | add(n0,const_100)|multiply(n1,#0)|divide(#1,const_100)|add(#0,#2)|divide(const_100,#3)|subtract(const_1,#4)|multiply(#5,const_100) | let p be the original price per unit of gas . let x be the original gas consumption . let y be the reduced gas consumption . y * 1.15 * 1.25 * p = x * p y = x / ( 1.15 * 1.25 ) which is about 0.7 x which is a decrease of about 30 % . the answer is a . | general |
math_qa__ciPRbombMOXwSnKo | AB
+BA
___
202
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B? Answers.
A) 6 B) 8 C) 9 D) 20 E) 14 | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">202 / 11</gadget>
<output>202/11 = around 18.363636</output>
<gadget id="calculator">(202/11) + 2</gadget>
<output>224/11 = around 20.363636</output>
<gadget id="calculator">floor(224/11)</gadget>
<output>20</output>
<result>D</result> | D | 20 | AB
+BA
___
202
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B? | {
"A": "6",
"B": "8",
"C": "9",
"D": "20",
"E": "14"
} | floor(add(divide(202, add(const_10, const_1)), const_2)) | add(const_1,const_10)|divide(n0,#0)|add(#1,const_2)|floor(#2) | two ways to do it . . 1 ) straight logic . . only 20 fits in . . d | general |
math_qa__4rD0AuyXn9u0AtLZ | An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 29 metre of cloth ? Choose the most appropriate option:
A) 175 seconds
B) 195 seconds
C) 155 seconds
D) 227 seconds
E) 115 seconds | <gadget id="calculator">29 / 0.128</gadget>
<output>226.5625</output>
<result>D</result> | D | 227 | An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 29 metre of cloth ? | {
"A": "175 seconds",
"B": "195 seconds",
"C": "155 seconds",
"D": "227 seconds",
"E": "115 seconds"
} | divide(29, 0.128) | divide(n1,n0)| | "explanation : let the time required by x seconds . then , more cloth means more time ( direct proportion ) so , 0.128 : 1 : : 29 : x = > x = { \ color { blue } \ frac { 29 \ times 1 } { 0.128 } } = > x = 226.56 so time will be approx 227 seconds answer : d" | physics |
math_qa__uKpWWvZF8uoDKA3n | 30 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 3:2. How many liters of Liquid Q must be added to make the ratio 3:4? Choose one
A) 8 B) 10 C) 12 D) 14 E) 16 | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">30 * 3</gadget>
<output>90</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">90 / 5</gadget>
<output>18</output>
<gadget id="calculator">7 * 18</gadget>
<output>126</output>
<gadget id="calculator">126 / 3</gadget>
<output>42</output>
<gadget id="calculator">42 * 4</gadget>
<output>168</output>
<gadget id="calculator">168 / 7</gadget>
<output>24</output>
<gadget id="calculator">30 * 2</gadget>
<output>60</output>
<gadget id="calculator">60 / 5</gadget>
<output>12</output>
<gadget id="calculator">24 - 12</gadget>
<output>12</output>
<result>C</result> | C | 12 | 30 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 3:2. How many liters of Liquid Q must be added to make the ratio 3:4? | {
"A": "8",
"B": "10",
"C": "12",
"D": "14",
"E": "16"
} | subtract(divide(multiply(divide(multiply(add(3, 4), divide(multiply(30, 3), add(3, 2))), 3), 4), add(3, 4)), divide(multiply(30, 2), add(3, 2))) | add(n3,n4)|add(n1,n2)|multiply(n0,n1)|multiply(n0,n2)|divide(#2,#1)|divide(#3,#1)|multiply(#0,#4)|divide(#6,n3)|multiply(n4,#7)|divide(#8,#0)|subtract(#9,#5)| | "let x be the amount of liquid q to be added . ( 2 / 5 ) * 30 + x = ( 4 / 7 ) * ( 30 + x ) 420 + 35 x = 600 + 20 x 15 x = 180 x = 12 the answer is c ." | general |
math_qa__6oKsRuDakICWt7Oy | . For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A’s chances of winning. Let’s assume such rumors to be true and that in a match between Ghana and Bolivia; Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game? Pick one.
A) 59
B) 88
C) 77
D) 26
E) 18 | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">10 * 5</gadget>
<output>50</output>
<gadget id="calculator">50 + 3</gadget>
<output>53</output>
<gadget id="calculator">53 + 3</gadget>
<output>56</output>
<gadget id="calculator">56 + 3</gadget>
<output>59</output>
<result>A</result> | A | 59 | . For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A’s chances of winning. Let’s assume such rumors to be true and that in a match between Ghana and Bolivia; Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game? | {
"A": "59",
"B": "88",
"C": "77",
"D": "26",
"E": "18"
} | add(add(add(multiply(const_10, add(const_3, const_2)), 3), 3), 3) | add(const_2,const_3)|multiply(#0,const_10)|add(n2,#1)|add(n2,#2)|add(n2,#3) | the probability that paul correctly picks the winner = ( a ' s chances of winning ) x ( pauls picking the winner corectly ) + ( a ' s chances of loosing ) x ( paul picks wrongly ) = 23 × 23 + 13 × 13 = 59 answer : a | general |
math_qa__cwk8ArDHgH3SHFyf | John has 10 pairs of matched socks. If he loses 5 individual socks, what is the greatest number of pairs of matched socks he can have left?
Choose the correct option:
A) 8 B) 7 C) 5 D) 4 E) 3 | <gadget id="calculator">10 - 3</gadget>
<output>7</output>
<result>B</result> | B | 7 | John has 10 pairs of matched socks. If he loses 5 individual socks, what is the greatest number of pairs of matched socks he can have left? | {
"A": "8",
"B": "7",
"C": "5",
"D": "4",
"E": "3"
} | subtract(10, const_3) | subtract(n0,const_3) | because we have to maximize the pair of matched socks , we will remove 2 pairs ( 4 socks ) out of 10 pairs 1 sock from the 3 th pair . thus the no of matching socks pair remaining = 10 - 3 = 7 answer b | general |
math_qa__yjveWoNtfBqsojLo | If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {18} + {16}? Choose the correct choice
A) 23 B) 20 C) 11 D) 19 E) 2 | <gadget id="calculator">18 + 16</gadget>
<output>34</output>
<gadget id="calculator">34 / 2</gadget>
<output>17</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">17 + 2</gadget>
<output>19</output>
<result>D</result> | D | 19 | If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {18} + {16}? | {
"A": "23",
"B": "20",
"C": "11",
"D": "19",
"E": "2"
} | add(divide(add(18, 16), const_2), multiply(1, const_2)) | add(n1,n2)|multiply(n0,const_2)|divide(#0,const_2)|add(#2,#1) | soln : { 18 } + { 16 } = 18 * { 16 } + { 16 } = 19 * { 16 } answer : d | general |
math_qa__n6hOJCUvbBRaQlcV | A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters. Answers.
A) 20,000 square meters B) 10,000 square meters C) 30,000 square meters D) 40,000 square meters E) 50,000 square meters | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * 1_000</gadget>
<output>600</output>
<gadget id="calculator">600 / 2</gadget>
<output>300</output>
<gadget id="calculator">300 / 3</gadget>
<output>100</output>
<gadget id="calculator">100 * 2</gadget>
<output>200</output>
<gadget id="calculator">200 * 100</gadget>
<output>20_000</output>
<result>A</result> | A | 20,000 | A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If field has a length that is twice its width, find the area of the field in square meters. | {
"A": "20,000 square meters",
"B": "10,000 square meters",
"C": "30,000 square meters",
"D": "40,000 square meters",
"E": "50,000 square meters"
} | rectangle_area(multiply(divide(divide(multiply(divide(divide(12, const_2), 10), const_1000), const_2), const_3), const_2), divide(divide(multiply(divide(divide(12, const_2), 10), const_1000), const_2), const_3)) | divide(n1,const_2)|divide(#0,n0)|multiply(#1,const_1000)|divide(#2,const_2)|divide(#3,const_3)|multiply(#4,const_2)|rectangle_area(#4,#5) | let us first find the distance d jogged distance = rate * time = ( 12 km / hr ) * 30 minutes = ( 12 km / hr ) * 0.5 hr = 6 km the distance of 6 km corresponds to 10 perimeters and therefore 1 perimeter is equal to 6 km / 10 = 0.6 km = 0.6 * 1000 meters = 600 meters let l and w be the length and width of the field . the length is twice the width . hence l = 2 w the perimeter is 600 meters and is given by 2 ( l + w ) = 600 substitute l by 2 w 2 ( 2 w + w ) = 600 simplify and solve for w 4 w + 2 w = 600 6 w = 600 w = 100 find l l = 2 w = 200 find the area a of the rectangle a = l * w = 200 * 100 = 20,000 square meters correct answer a | geometry |
math_qa__RjtDqrv6EfhDS2ov | A man is 27 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is? Choose the correct choice from the following options
A) 11 B) 25 C) 27 D) 22 E) 91 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">27 - 2</gadget>
<output>25</output>
<gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">25 / 1</gadget>
<output>25</output>
<result>B</result> | B | 25 | A man is 27 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is? | {
"A": "11",
"B": "25",
"C": "27",
"D": "22",
"E": "91"
} | divide(subtract(27, subtract(multiply(const_2, const_2), const_2)), subtract(const_2, const_1)) | multiply(const_2,const_2)|subtract(const_2,const_1)|subtract(#0,const_2)|subtract(n0,#2)|divide(#3,#1) | let the son ' s present age be x years . then , man ' s present age = ( x + 27 ) years . ( x + 27 ) + 2 = 2 ( x + 2 ) x + 29 = 2 x + 4 = > x = 25 . answer : b | general |
math_qa__qgJhLQzRREfWoYG1 | A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 70 percent of books that were loaned out are returned and there are 63 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choose the correct choice from the following answers.
A) 20 B) 30 C) 35 D) 40 E) 55 | <gadget id="calculator">75 - 63</gadget>
<output>12</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">1 - (7/10)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">12 / (3/10)</gadget>
<output>40</output>
<result>D</result> | D | 40 | A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 70 percent of books that were loaned out are returned and there are 63 books in the special collection at that time, how many books of the special collection were loaned out during that month? | {
"A": "20",
"B": "30",
"C": "35",
"D": "40",
"E": "55"
} | divide(subtract(75, 63), subtract(const_1, divide(70, const_100))) | divide(n1,const_100)|subtract(n0,n2)|subtract(const_1,#0)|divide(#1,#2)| | "i did n ' t understand how did we get 100 ? total = 75 books . 65 % of books that were loaned out are returned - - > 100 % - 70 % = 30 % of books that were loaned out are not returned . now , there are 63 books , thus 76 - 63 = 12 books are not returned . { loaned out } * 0.30 = 7 - - > { loaned out } = 40 . answer : d ." | gain |
math_qa__hhCSFJFqIoPTgHaZ | All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes have no faces coloured ?
Choose the correct choice from the following choices
A) 24
B) 8
C) 16
D) 0
E) 4 | <gadget id="calculator">64 / 4</gadget>
<output>16</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<result>B</result> | B | 8 | All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes have no faces coloured ? | {
"A": "24",
"B": "8",
"C": "16",
"D": "0",
"E": "4"
} | divide(divide(64, const_4), const_2) | divide(n0,const_4)|divide(#0,const_2)| | "there are 64 small cubes , hence one side side of the big cube is 3 √ 64 = 4 cm number of small cubes having only one faces coloured = ( x - 2 ) ^ 3 here , x = side of big cube / side of small cube x = 4 / 1 x = 4 required number = ( 4 - 2 ) ^ 3 = 8 answer : b" | geometry |
math_qa__R4ySY3VjPp4vGrmY | [( 3.242 x 16 ) / 100] = ?
Choose the correct choice from the following options: A) 0.045388 B) 4.5388 C) 0.051872 D) 473.88 E) none of these | <gadget id="calculator">3.242 * 16</gadget>
<output>51.872</output>
<gadget id="calculator">51.872 / 100</gadget>
<output>0.51872</output>
<gadget id="calculator">0.51872 / 10</gadget>
<output>0.051872</output>
<result>C</result> | C | 0.051872 | [( 3.242 x 16 ) / 100] = ? | {
"A": "0.045388",
"B": "4.5388",
"C": "0.051872",
"D": "473.88",
"E": "none of these"
} | divide(divide(multiply(3.242, 16), 100), const_10) | multiply(n0,n1)|divide(#0,n2)|divide(#1,const_10)| | "answer multiplying 3.242 x 16 = 5.1872 now divide 5.1872 by 100 so , 5.1872 ÷ 100 = 0.051872 ∴ shift the decimal two places to the left as 100 correct option : c" | general |
math_qa__HYiGvitDRzORPCQt | sabrina is contemplating a job switch . she is thinking of leaving her job paying $ 90000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission for each sale made . if each of her sales is for $ 1500 , what is the least number of sales she must make per year if she is not to lose money because of the job change ? Choose the correct answer:
A) 57
B) 177
C) 178
D) 377
E) 200 | <gadget id="calculator">90_000 - 45_000</gadget>
<output>45_000</output>
<gadget id="calculator">1_500 * 15</gadget>
<output>22_500</output>
<gadget id="calculator">22_500 / 100</gadget>
<output>225</output>
<gadget id="calculator">45_000 / 225</gadget>
<output>200</output>
<result>E</result> | E | 200 | sabrina is contemplating a job switch . she is thinking of leaving her job paying $ 90000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission for each sale made . if each of her sales is for $ 1500 , what is the least number of sales she must make per year if she is not to lose money because of the job change ? | {
"A": "57",
"B": "177",
"C": "178",
"D": "377",
"E": "200"
} | divide(subtract(90000, 45000), divide(multiply(1500, 15), const_100)) | multiply(n2,n3)|subtract(n0,n1)|divide(#0,const_100)|divide(#1,#2) | lets say she sales x items so her commission will be : x * 1500 * 15 / 100 = 225 x salary difference is : 90000 - 45000 = 45000 so commission must at least be equal to salary difference i . e . x = 45000 / 225 = 200 ( approx ) . hence answer is e | general |
math_qa__f8sENhi5yVYOMBm3 | If (1 – 1.25)N = 2, then N = Choose the correct answer
A) − 400
B) − 140
C) − 8
D) 4
E) 400 | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">-8</gadget>
<output>-8</output>
<result>C</result> | C | -8 | If (1 – 1.25)N = 2, then N = | {
"A": "− 400",
"B": "− 140",
"C": "− 8",
"D": "4",
"E": "400"
} | negate(multiply(2, const_4)) | multiply(n2,const_4)|negate(#0)| | "( 1 – 1.25 ) n = 2 simplify to get : - 0.25 n = 2 rewrite as ( - 1 / 4 ) n = 2 multiply both sides by - 4 to get : n = - 8 answer : c" | general |
math_qa__PkvgDqbAxsvK9GEL | A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $6 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues? Choose the most appropriate option:
A) $ 28 B) $ 82 C) $ 110 D) $ 138 E) $ 196 | <gadget id="calculator">4 * 4</gadget>
<output>16</output>
<gadget id="calculator">16 * 1_000</gadget>
<output>16_000</output>
<gadget id="calculator">6 * 100</gadget>
<output>600</output>
<gadget id="calculator">16_000 + 600</gadget>
<output>16_600</output>
<gadget id="calculator">80 + 6</gadget>
<output>86</output>
<gadget id="calculator">86 * 150</gadget>
<output>12_900</output>
<gadget id="calculator">16_600 + 12_900</gadget>
<output>29_500</output>
<gadget id="calculator">29_500 / 150</gadget>
<output>590/3 = around 196.666667</output>
<result>E</result> | E | 196 | A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $6 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues? | {
"A": "$ 28",
"B": "$ 82",
"C": "$ 110",
"D": "$ 138",
"E": "$ 196"
} | divide(add(add(multiply(multiply(const_4, const_4), const_1000), multiply(6, const_100)), multiply(add(80, 6), 150)), 150) | add(n0,n1)|multiply(const_4,const_4)|multiply(n1,const_100)|multiply(#1,const_1000)|multiply(n3,#0)|add(#3,#2)|add(#5,#4)|divide(#6,n3)| | "by the question , the equation would be 150 p - 86 * 150 - 16500 = 0 p being the price we want to find and equation resulting zero means revenue and costs are equal so we can get the minimum price of the component . solving the equation , we get p = $ 196 . answer e for me ." | general |
math_qa__Kz1yh2iZmprtmAzH | An outlet pipe can empty 2/3 of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied? Choose the correct choice from the following choices: A) 1 / 2 B) 1 / 3 C) 1 / 4 D) 2 / 5 E) 3 / 10 | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">8 * (2/3)</gadget>
<output>16/3 = around 5.333333</output>
<gadget id="calculator">(16/3) / 16</gadget>
<output>1/3 = around 0.333333</output>
<result>B</result> | B | 0.333333 | An outlet pipe can empty 2/3 of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied? | {
"A": "1 / 2",
"B": "1 / 3",
"C": "1 / 4",
"D": "2 / 5",
"E": "3 / 10"
} | divide(multiply(8, divide(2, 3)), 16) | divide(n0,n1)|multiply(n3,#0)|divide(#1,n2) | 8 / 16 * 2 / 3 = 1 / 3 the answer is b . | physics |
math_qa__Dqn5ksnNb6z8Zl9w | The simple interest on a sum of money will be Rs.1000 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year? Choose the correct choice from the following answers.
A) 8981
B) 3799
C) 1200
D) 2693
E) 2000 | <gadget id="calculator">1_000 / 10</gadget>
<output>100</output>
<gadget id="calculator">100 * 5</gadget>
<output>500</output>
<gadget id="calculator">500 * 3</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 + 500</gadget>
<output>2_000</output>
<result>E</result> | E | 2,000 | The simple interest on a sum of money will be Rs.1000 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year? | {
"A": "8981",
"B": "3799",
"C": "1200",
"D": "2693",
"E": "2000"
} | add(multiply(multiply(divide(1000, 10), 5), const_3), multiply(divide(1000, 10), 5)) | divide(n0,n1)|multiply(n2,#0)|multiply(#1,const_3)|add(#2,#1)| | "p - - - 10 - - - - 1000 p - - - 5 - - - - - 500 3 p - - - 5 - - - - - 1500 - - - - - - = > 2000 answer : e" | general |
math_qa__sm5WAuwUlo9DJ6nA | The cash difference between the selling prices of an article at a profit of 4% and 8% is Rs. 3. The ratio of the two selling prices is? Choose the correct choice from the following
A) 52 : 56 B) 52 : 53 C) 52 : 54 D) 22 : 56 E) 52 : 51 | <gadget id="calculator">100 + 4</gadget>
<output>104</output>
<gadget id="calculator">100 + 8</gadget>
<output>108</output>
<gadget id="calculator">104 / 108</gadget>
<output>26/27 = around 0.962963</output>
<result>C</result> | C | 0.962963 | The cash difference between the selling prices of an article at a profit of 4% and 8% is Rs. 3. The ratio of the two selling prices is? | {
"A": "52 : 56",
"B": "52 : 53",
"C": "52 : 54",
"D": "22 : 56",
"E": "52 : 51"
} | divide(add(const_100, 4), add(const_100, 8)) | add(n0,const_100)|add(n1,const_100)|divide(#0,#1) | let c . p . of the article be rs . x . then , required ratio = 104 % of x / 108 % of x = 104 / 108 = 52 / 54 = 52 : 54 answer : c | gain |
math_qa__qZuNXW7ZnJ7FfXaF | If shares of two persons in profits are Rs.700 and Rs. 300 then ratio of their capitals is Choose the correct choice: A) 3 : 4 B) 2 : 3 C) 7 : 3 D) 1 : 3 E) 1 : 5 | <gadget id="calculator">700 / 300</gadget>
<output>7/3 = around 2.333333</output>
<result>C</result> | C | 2.333333 | If shares of two persons in profits are Rs.700 and Rs. 300 then ratio of their capitals is | {
"A": "3 : 4",
"B": "2 : 3",
"C": "7 : 3",
"D": "1 : 3",
"E": "1 : 5"
} | divide(700, 300) | divide(n0,n1)| | "total profit = 1000 ratio = 700 / 300 = 7 : 3 answer : c" | other |
math_qa__JaMHtAddzIX0e0pe | an advertising agency finds that , of its 180 clients , 115 use television , 110 use radio and 130 use magazines . also , 85 use television and magazines , 75 use television and radio , 95 use radio and magazines . how many use all the 3 ? Pick one:
A) 56 B) 70 C) 90 D) 98 E) 80 | <gadget id="calculator">115 + 110</gadget>
<output>225</output>
<gadget id="calculator">225 + 130</gadget>
<output>355</output>
<gadget id="calculator">85 + 75</gadget>
<output>160</output>
<gadget id="calculator">160 + 95</gadget>
<output>255</output>
<gadget id="calculator">355 - 255</gadget>
<output>100</output>
<gadget id="calculator">180 - 100</gadget>
<output>80</output>
<result>E</result> | E | 80 | an advertising agency finds that , of its 180 clients , 115 use television , 110 use radio and 130 use magazines . also , 85 use television and magazines , 75 use television and radio , 95 use radio and magazines . how many use all the 3 ? | {
"A": "56",
"B": "70",
"C": "90",
"D": "98",
"E": "80"
} | subtract(180, subtract(add(add(115, 110), 130), add(add(85, 75), 95))) | add(n1,n2)|add(n4,n5)|add(n3,#0)|add(n6,#1)|subtract(#2,#3)|subtract(n0,#4) | total = 180 television = 115 radio = 110 magazine = 130 all the three = 180 - 115 - 110 - 130 + 85 + 75 + 95 = 80 answer e | general |
math_qa__y7hNfkBvHWvPrZyF | 8 friends met for lunch at an expensive restaurant , and everyone decided to contribute equally to the total bill of $ 290 . if one of the friends had a coupon for 29 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ? Pick one.
A) $ 90
B) $ 70
C) $ 45
D) $ 37
E) $ 25 | <gadget id="calculator">29 / 100</gadget>
<output>29/100 = around 0.29</output>
<gadget id="calculator">(29/100) * 290</gadget>
<output>841/10 = around 84.1</output>
<gadget id="calculator">290 - (841/10)</gadget>
<output>2_059/10 = around 205.9</output>
<gadget id="calculator">(2_059/10) / 8</gadget>
<output>2_059/80 = around 25.7375</output>
<result>E</result> | E | 25 | 8 friends met for lunch at an expensive restaurant , and everyone decided to contribute equally to the total bill of $ 290 . if one of the friends had a coupon for 29 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ? | {
"A": "$ 90",
"B": "$ 70",
"C": "$ 45",
"D": "$ 37",
"E": "$ 25"
} | divide(subtract(290, multiply(divide(29, const_100), 290)), 8) | divide(n2,const_100)|multiply(n1,#0)|subtract(n1,#1)|divide(#2,n0) | 290 * 0,29 = 84 290 - 84 = 206 206 / 8 = 25 answer e | general |
math_qa__1e1ZB17Akqs9Ye4W | For a right angle triangle the hypotenuse is 5 and base is 3. What is the area of the triangle? Select
A) 6
B) 7
C) 8
D) 9
E) 10 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 3</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">25 - 9</gadget>
<output>16</output>
<gadget id="calculator">16 ** (1/2)</gadget>
<output>4</output>
<gadget id="calculator">(3/2) * 4</gadget>
<output>6</output>
<result>A</result> | A | 6 | For a right angle triangle the hypotenuse is 5 and base is 3. What is the area of the triangle? | {
"A": "6",
"B": "7",
"C": "8",
"D": "9",
"E": "10"
} | multiply(multiply(divide(const_1, const_2), const_3), sqrt(subtract(power(5, const_2), power(3, const_2)))) | divide(const_1,const_2)|power(n0,const_2)|power(n1,const_2)|multiply(#0,const_3)|subtract(#1,#2)|sqrt(#4)|multiply(#3,#5) | as we know that for a right angle triangle the are is 1 / 2 * base * height we know the base = 3 we need to calculate the height hypotenuse = h = 5 base = b = 3 height = c = ? as per pythagoras h ^ 2 = b ^ 2 + c ^ 2 5 ^ 2 = 3 ^ 2 + c ^ 2 25 = 9 + c ^ 2 c ^ 2 = 25 - 9 c ^ 2 = 16 c = 4 height = 4 area = 1 / 2 * base * height = 1 / 2 * 3 * 4 = 6 square units ans : a | geometry |
math_qa__AE22PL4Nx57u5Ild | During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 210 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination? Options.
A) 280 B) 320 C) 360 D) 420 E) 560 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) * (1/4)</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/2) + (1/8)</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 - (5/8)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">210 / (3/8)</gadget>
<output>560</output>
<result>E</result> | E | 560 | During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 210 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination? | {
"A": "280",
"B": "320",
"C": "360",
"D": "420",
"E": "560"
} | divide(210, subtract(1, add(divide(1, 2), multiply(divide(1, 2), divide(1, 4))))) | divide(n0,n1)|divide(n0,n3)|multiply(#0,#1)|add(#0,#2)|subtract(n0,#3)|divide(n4,#4)| | "easy 560 is the answer . 3 / 4 ( x / 2 ) = 210 x = 210 * 8 / 3 = 560 . answer e" | physics |
math_qa__JKm4c0ZUoA6324G4 | A train 1000 m long can cross an electric pole in 200 sec and then find the speed of the train? Options
A) 12 B) 14 C) 16 D) 18 E) 20 | <gadget id="calculator">1_000 / 1_000</gadget>
<output>1</output>
<gadget id="calculator">200 / 3_600</gadget>
<output>1/18 = around 0.055556</output>
<gadget id="calculator">1 / (1/18)</gadget>
<output>18</output>
<result>D</result> | D | 18 | A train 1000 m long can cross an electric pole in 200 sec and then find the speed of the train? | {
"A": "12",
"B": "14",
"C": "16",
"D": "18",
"E": "20"
} | divide(divide(1000, const_1000), divide(200, const_3600)) | divide(n0,const_1000)|divide(n1,const_3600)|divide(#0,#1)| | "length = speed * time speed = l / t s = 1000 / 200 s = 5 m / sec speed = 5 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 18 kmph answer : d" | physics |
math_qa__XX7MphgIzJKvprdI | What is the probability of randomly selecting an arrangement of the letters of the word "MEDITERRANEAN" in which the first letter is E and the last letter is R?
Choose the correct answer.
A) 1 / 13 B) 1 / 20 C) 1 / 26 D) 1 / 50 E) 1 / 100 | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">26 / 2</gadget>
<output>13</output>
<gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calculator">13 * 12</gadget>
<output>156</output>
<gadget id="calculator">6 / 156</gadget>
<output>1/26 = around 0.038462</output>
<result>C</result> | C | 0.038462 | What is the probability of randomly selecting an arrangement of the letters of the word "MEDITERRANEAN" in which the first letter is E and the last letter is R? | {
"A": "1 / 13",
"B": "1 / 20",
"C": "1 / 26",
"D": "1 / 50",
"E": "1 / 100"
} | divide(multiply(const_3, const_2), multiply(divide(const_26, const_2), multiply(multiply(const_3, const_2), const_2))) | divide(const_26,const_2)|multiply(const_2,const_3)|multiply(#1,const_2)|multiply(#0,#2)|divide(#1,#3) | there are 13 letters in mediterranean , out of which e appears thrice , n appears twice , a appears twice , and r appears twice . the number of arrangements of mediterranean is therefore 13 ! / 3 ! 2 ! 2 ! 2 ! the number of arrangements in which the first letter is e and the last letter is r is 11 ! / 2 ! 2 ! 2 ! ( we are left with 11 letters out of which e appears twice , n appears twice and a appears twice ) . p = ( 11 ! / 2 ! 2 ! 2 ! ) / ( 13 ! / 3 ! 2 ! 2 ! 2 ! ) = 11 / ! 2 ! 2 ! 2 ! ∗ 3 ! 2 ! 2 ! 2 ! / 13 ! = 3 ! / 12 ∗ 13 = 1 / 26 answer : c . | probability |
math_qa__XQ57w1GIBirZvnvt | 10 business executives and 3 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place? Select.
A) 144
B) 131
C) 115
D) 90
E) 75 | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">10 * 9</gadget>
<output>90</output>
<gadget id="calculator">90 / 2</gadget>
<output>45</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">45 + 30</gadget>
<output>75</output>
<result>E</result> | E | 75 | 10 business executives and 3 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place? | {
"A": "144",
"B": "131",
"C": "115",
"D": "90",
"E": "75"
} | add(divide(multiply(10, subtract(10, const_1)), const_2), multiply(10, 3)) | multiply(n0,n1)|subtract(n0,const_1)|multiply(n0,#1)|divide(#2,const_2)|add(#3,#0)| | "there are 10 business exec and in each handshake 2 business execs are involved . hence 10 c 2 = 45 also , each of 10 exec will shake hand with every 3 other chairmen for total of 30 handshake . total = 45 + 30 = 75 ans : e" | geometry |
math_qa__bYqQmdBnsesuNXoJ | A goods train runs at a speed of 72 kmph and crosses a 280 m long platform in 26 seconds.What is the length of the goods train? Options:
A) 230 m
B) 240 m
C) 260 m
D) 270 m
E) 250 m | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">72 * (5/18)</gadget>
<output>20</output>
<gadget id="calculator">20 * 26</gadget>
<output>520</output>
<gadget id="calculator">520 - 280</gadget>
<output>240</output>
<result>B</result> | B | 240 | A goods train runs at a speed of 72 kmph and crosses a 280 m long platform in 26 seconds.What is the length of the goods train? | {
"A": "230 m",
"B": "240 m",
"C": "260 m",
"D": "270 m",
"E": "250 m"
} | subtract(multiply(multiply(72, const_0_2778), 26), 280) | multiply(n0,const_0_2778)|multiply(n2,#0)|subtract(#1,n1)| | "s = 280 + x / t 72 * 5 / 18 = 280 + x / 26 x = 240 answer : b" | physics |
math_qa__XJAV2qqg1fSO7w85 | In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 100 bricks in the wall, how many bricks does the bottom row contain ? Pick one
A) 18 B) 16 C) 17 D) 15 E) 19 | <gadget id="calculator">100 - 1</gadget>
<output>99</output>
<gadget id="calculator">99 - 2</gadget>
<output>97</output>
<gadget id="calculator">97 - 3</gadget>
<output>94</output>
<gadget id="calculator">94 - 4</gadget>
<output>90</output>
<gadget id="calculator">90 / 5</gadget>
<output>18</output>
<result>A</result> | A | 18 | In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 100 bricks in the wall, how many bricks does the bottom row contain ? | {
"A": "18",
"B": "16",
"C": "17",
"D": "15",
"E": "19"
} | divide(subtract(subtract(subtract(subtract(100, const_1), const_2), const_3), const_4), 5) | subtract(n1,const_1)|subtract(#0,const_2)|subtract(#1,const_3)|subtract(#2,const_4)|divide(#3,n0)| | "the bottom row has x bricks x + x - 1 + x - 2 + x - 3 + x - 4 = 100 5 x - 10 = 100 5 x = 90 x = 18 answer : a" | general |
math_qa__aAd3Py8d1ihkErxA | Average age of 7 members of a family is 29 years. If present age of the youngest member is 5 year, find average age of the remaining members at the time of birth of the youngest member. Choose the correct choice from the following choices: A) 28 B) 37 C) 29 D) 237 E) 212 | <gadget id="calculator">7 * 29</gadget>
<output>203</output>
<gadget id="calculator">7 * 5</gadget>
<output>35</output>
<gadget id="calculator">203 - 35</gadget>
<output>168</output>
<gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">168 / 6</gadget>
<output>28</output>
<result>A</result> | A | 28 | Average age of 7 members of a family is 29 years. If present age of the youngest member is 5 year, find average age of the remaining members at the time of birth of the youngest member. | {
"A": "28",
"B": "37",
"C": "29",
"D": "237",
"E": "212"
} | divide(subtract(multiply(7, 29), multiply(7, 5)), subtract(7, const_1)) | multiply(n0,n1)|multiply(n0,n2)|subtract(n0,const_1)|subtract(#0,#1)|divide(#3,#2) | average age ( present ) of 7 members = 29 years 5 years ago , average age of 7 members was 29 - 5 = 24 years . since , the youngest member was not born 5 years ago . therefore , average age of remaining 6 members is increased by 246246 = 4 years . therefore , 5 years ago , average age of 6 members was 24 + 4 = 28 years . answer : a | general |
math_qa__ZZebSJ93TsIGvyyn | Thabo owns exactly 200 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?
Options:
A) 10
B) 20
C) 35
D) 45
E) 50 | <gadget id="calculator">200 + 20</gadget>
<output>220</output>
<gadget id="calculator">220 / 4</gadget>
<output>55</output>
<gadget id="calculator">55 - 20</gadget>
<output>35</output>
<result>C</result> | C | 35 | Thabo owns exactly 200 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own? | {
"A": "10",
"B": "20",
"C": "35",
"D": "45",
"E": "50"
} | subtract(divide(add(200, 20), const_4), 20) | add(n0,n1)|divide(#0,const_4)|subtract(#1,n1)| | "i think we can use double - matrix method and solve using only one variable . our goal is to find the number of hardcover nonfiction books . let that number be x . we are given that all 140 books are either paperback fiction , paperback nonfiction , or hardcover nonfiction . this implies that number of hardcover fiction books is 0 . double - matrix : p = paperback ; h = hardcover ; f = fiction ; nf = nonfiction p h total f 2 x + 40 0 nf x + 20 x total 3 x + 60 x 200 3 x + 60 + x = 200 x = 35 answer ( c . )" | general |
math_qa__k7yul8ly8RJuuyCT | On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 4 cups of tea. Last week Mo drank a total of 26 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week? Choose the correct choice from the following options: A) 2 B) 3 C) 4 D) 5 E) 6 | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">26 + 14</gadget>
<output>40</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">7 - 5</gadget>
<output>2</output>
<result>A</result> | A | 2 | On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 4 cups of tea. Last week Mo drank a total of 26 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week? | {
"A": "2",
"B": "3",
"C": "4",
"D": "5",
"E": "6"
} | subtract(add(const_4, const_3), divide(divide(add(26, 14), const_2), 4)) | add(const_3,const_4)|add(n1,n2)|divide(#1,const_2)|divide(#2,n0)|subtract(#0,#3)| | "t = the number of cups of tea c = the number of cups of hot chocolate t + c = 26 t - c = 14 - > t = 20 . c = 6 . mo drinks 4 cups of tea a day then number of days that are not rainy = 20 / 4 = 5 so number of rainy days = 7 - 5 = 2 a is the answer ." | general |
math_qa__AxXpzlhxe5L9Irsd | In the manufacture of a certain product, 10 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale? Choose the correct choice from the following answers: A) 0.25 % B) 0.5 % C) 0.75 % D) 1.25 % E) 2.5 % | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">10 * (1/20)</gadget>
<output>1/2 = around 0.5</output>
<result>B</result> | B | 0.5 | In the manufacture of a certain product, 10 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale? | {
"A": "0.25 %",
"B": "0.5 %",
"C": "0.75 %",
"D": "1.25 %",
"E": "2.5 %"
} | multiply(10, divide(5, const_100)) | divide(n1,const_100)|multiply(n0,#0)| | "0.1 * 0.05 = 0.005 = 0.5 % the answer is b ." | gain |
math_qa__HiKPgoAkVCcNFEKz | A boat goes 130 km downstream in 10 hours, and 75 Km upstream in 15 hours. The speed of the stream is? Choose one: A) 3.5 B) 3 C) 5 D) 4 E) 8 | <gadget id="calculator">130 / 10</gadget>
<output>13</output>
<gadget id="calculator">75 / 15</gadget>
<output>5</output>
<gadget id="calculator">13 - 5</gadget>
<output>8</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<result>D</result> | D | 4 | A boat goes 130 km downstream in 10 hours, and 75 Km upstream in 15 hours. The speed of the stream is? | {
"A": "3.5",
"B": "3",
"C": "5",
"D": "4",
"E": "8"
} | divide(subtract(divide(130, 10), divide(75, 15)), const_2) | divide(n0,n1)|divide(n2,n3)|subtract(#0,#1)|divide(#2,const_2)| | "125 - - - 10 ds = 130 ? - - - - 1 75 - - - - 15 us = 5 ? - - - - - 1 s = ( 13 - 5 ) / 2 = 4 kmph . answer : d" | physics |
math_qa__G7rot1GslihHUmBX | Pat, Kate, and Mark charged a total of 135 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate? Choose the correct answer:
A) 18 B) 36 C) 75 D) 90 E) 108 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + (1/3)</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(4/3) + (1/6)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">135 / (3/2)</gadget>
<output>90</output>
<gadget id="calculator">90 / 6</gadget>
<output>15</output>
<gadget id="calculator">90 - 15</gadget>
<output>75</output>
<result>C</result> | C | 75 | Pat, Kate, and Mark charged a total of 135 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate? | {
"A": "18",
"B": "36",
"C": "75",
"D": "90",
"E": "108"
} | subtract(divide(135, add(add(1, divide(1, 3)), divide(1, multiply(3, const_2)))), divide(divide(135, add(add(1, divide(1, 3)), divide(1, multiply(3, const_2)))), multiply(3, const_2))) | divide(n1,n2)|multiply(n2,const_2)|add(n1,#0)|divide(n1,#1)|add(#2,#3)|divide(n0,#4)|divide(#5,#1)|subtract(#5,#6) | 75 all u do is do 2 : 1 : 6 = > 2 x + x + 6 x = 135 = > x = 15 30 : 15 : 90 90 - 15 = 75 answer c | general |
math_qa__VyCCdwnAS8tVyfof | Sum of the squares of 3 no. is 52 and the sum of their products taken two at a time is 72. Find the sum? Choose the correct choice from the following options:
A) 18 B) 21 C) 13 D) 16 E) 14 | <gadget id="calculator">72 * 2</gadget>
<output>144</output>
<gadget id="calculator">52 + 144</gadget>
<output>196</output>
<gadget id="calculator">196 ** (1/2)</gadget>
<output>14</output>
<result>E</result> | E | 14 | Sum of the squares of 3 no. is 52 and the sum of their products taken two at a time is 72. Find the sum? | {
"A": "18",
"B": "21",
"C": "13",
"D": "16",
"E": "14"
} | sqrt(add(52, multiply(72, const_2))) | multiply(n2,const_2)|add(n1,#0)|sqrt(#1)| | "( a + b + c ) 2 = a 2 + b 2 + c 2 + 2 ( ab + bc + ca ) = 52 + 2 * 72 a + b + c = â ˆ š 196 = 14 answer e" | general |
math_qa__w3907IwAGey6uESS | How many seconds will a 650 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 48 km/hr?
Choose the correct choice from the following: A) 25 B) 45 C) 54 D) 44 E) 48 | <gadget id="calculator">48 - 3</gadget>
<output>45</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">45 * (5/18)</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">650 / (25/2)</gadget>
<output>52</output>
<result>C</result> | C | 54 | How many seconds will a 650 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 48 km/hr? | {
"A": "25",
"B": "45",
"C": "54",
"D": "44",
"E": "48"
} | divide(650, multiply(subtract(48, 3), const_0_2778)) | subtract(n2,n1)|multiply(#0,const_0_2778)|divide(n0,#1)| | "speed of train relative to man = 48 - 3 = 45 km / hr . = 45 * 5 / 18 = 25 / 2 m / sec . time taken to pass the man = 650 * 2 / 25 = 54 sec . answer : c" | physics |
math_qa__S72i4IRDrwtphofW | What is the rate percent when the simple interest on Rs.780 amount to Rs.130 in 4 Years? Choose the correct choice from the following answers:
A) 4.16 B) 5.16 C) 6.16 D) 7.16 E) 8.16 | <gadget id="calculator">100 * 130</gadget>
<output>13_000</output>
<gadget id="calculator">780 * 4</gadget>
<output>3_120</output>
<gadget id="calculator">13_000 / 3_120</gadget>
<output>25/6 = around 4.166667</output>
<result>A</result> | A | 4.16 | What is the rate percent when the simple interest on Rs.780 amount to Rs.130 in 4 Years? | {
"A": "4.16",
"B": "5.16",
"C": "6.16",
"D": "7.16",
"E": "8.16"
} | divide(multiply(const_100, 130), multiply(780, 4)) | multiply(n1,const_100)|multiply(n0,n2)|divide(#0,#1)| | "130 = ( 780 * 4 * r ) / 100 r = 4.16 % answer : a" | gain |
math_qa__hAyTtcn6A2f4fqUT | The cross-section of a river bank is a trapezium in shape. If the river bank is 12 m wide at the top and 8 m wide at the bottom and the area of cross-section is 500 sq m, the depth of river bank is?
Choose the correct answer: A) 20 m B) 60 m C) 40 m D) 50 m E) 90 m | <gadget id="calculator">12 + 8</gadget>
<output>20</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">500 / 10</gadget>
<output>50</output>
<result>D</result> | D | 50 | The cross-section of a river bank is a trapezium in shape. If the river bank is 12 m wide at the top and 8 m wide at the bottom and the area of cross-section is 500 sq m, the depth of river bank is? | {
"A": "20 m",
"B": "60 m",
"C": "40 m",
"D": "50 m",
"E": "90 m"
} | divide(500, divide(add(12, 8), const_2)) | add(n0,n1)|divide(#0,const_2)|divide(n2,#1) | 1 / 2 * d ( 12 + 8 ) = 500 d = 50 answer : d | physics |
math_qa__cyk6dw00dUVFVhGg | What ratio must a shopkeeper mix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.19 ? Choose the correct choice from the following answers.
A) 10 : 7 B) 9 : 8 C) 2 : 1 D) 13 : 11 E) 14 : 8 | <gadget id="calculator">25 - 19</gadget>
<output>6</output>
<gadget id="calculator">19 - 16</gadget>
<output>3</output>
<gadget id="calculator">6 / 3</gadget>
<output>2</output>
<result>C</result> | C | 2 | What ratio must a shopkeeper mix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.19 ? | {
"A": "10 : 7",
"B": "9 : 8",
"C": "2 : 1",
"D": "13 : 11",
"E": "14 : 8"
} | divide(subtract(25, 19), subtract(19, 16)) | subtract(n1,n2)|subtract(n2,n0)|divide(#0,#1) | correct option : ( c ) use rule of alligation , to determine the ratio the required ratio of soybean and peas = 6 : 3 = 2 : 1 | general |
math_qa__We6YPBzg6MOD16kE | X can do a piece of work in 20days. He works at it for 10days and then Y finished it in 12days. How long will Y take to complete the work?
Choose the correct choice from the following choices:
A) 10 B) 12 C) 24 D) 29 E) 30 | <gadget id="calculator">10 / 20</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / (1/2)</gadget>
<output>2</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<result>C</result> | C | 24 | X can do a piece of work in 20days. He works at it for 10days and then Y finished it in 12days. How long will Y take to complete the work? | {
"A": "10",
"B": "12",
"C": "24",
"D": "29",
"E": "30"
} | multiply(12, inverse(subtract(const_1, divide(10, 20)))) | divide(n1,n0)|subtract(const_1,#0)|inverse(#1)|multiply(n2,#2)| | "work done by x in 10 days = 10 * 1 / 20 = 1 / 2 remaining work = 1 - 1 / 2 = 1 / 2 1 / 2 work is done by y in 12 days whole work will be done by y in 12 * 2 = 24 days answer is c" | physics |
math_qa__f1xsbZ0hGNnJtoQK | A man can row upstream at 27 kmph and downstream at 35 kmph, and then find the speed of the man in still water? Choose the correct choice from the following:
A) 31
B) 92
C) 30
D) 32
E) 23 | <gadget id="calculator">27 + 35</gadget>
<output>62</output>
<gadget id="calculator">62 / 2</gadget>
<output>31</output>
<result>A</result> | A | 31 | A man can row upstream at 27 kmph and downstream at 35 kmph, and then find the speed of the man in still water? | {
"A": "31",
"B": "92",
"C": "30",
"D": "32",
"E": "23"
} | divide(add(27, 35), const_2) | add(n0,n1)|divide(#0,const_2)| | "us = 27 ds = 35 m = ( 35 + 27 ) / 2 = 31 answer : a" | physics |
math_qa__AfrRhBoHxOKJDGjc | By how much does the larger root of the equation 2a^2+5a = 12 exceed the smaller root? Choose the correct answer:
A) 5 / 2 B) 10 / 3 C) 7 / 2 D) 14 / 3 E) 11 / 2 | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">2 * 12</gadget>
<output>24</output>
<gadget id="calculator">24 * 4</gadget>
<output>96</output>
<gadget id="calculator">25 + 96</gadget>
<output>121</output>
<gadget id="calculator">121 ** (1/2)</gadget>
<output>11</output>
<gadget id="calculator">5 + 11</gadget>
<output>16</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">16 / 4</gadget>
<output>4</output>
<gadget id="calculator">5 - 11</gadget>
<output>-6</output>
<gadget id="calculator">(-6) / 4</gadget>
<output>-3/2 = around -1.5</output>
<gadget id="calculator">4 - (-3/2)</gadget>
<output>11/2 = around 5.5</output>
<result>E</result> | E | 5.5 | By how much does the larger root of the equation 2a^2+5a = 12 exceed the smaller root? | {
"A": "5 / 2",
"B": "10 / 3",
"C": "7 / 2",
"D": "14 / 3",
"E": "11 / 2"
} | subtract(divide(add(5, sqrt(add(power(5, const_2), multiply(multiply(2, 12), const_4)))), multiply(2, const_2)), divide(subtract(5, sqrt(add(power(5, const_2), multiply(multiply(2, 12), const_4)))), multiply(2, const_2))) | multiply(n0,n3)|multiply(n0,const_2)|power(n2,const_2)|multiply(#0,const_4)|add(#3,#2)|sqrt(#4)|add(n2,#5)|subtract(n2,#5)|divide(#6,#1)|divide(#7,#1)|subtract(#8,#9) | for 2 a ^ 2 + 5 a = 12 roots are [ - 5 + sqrt ( 25 + 96 ) ] / 4 or [ - 5 - sqrt ( 25 + 96 ) ] / 4 = 1.5 or - 4 hence larger root 1.5 is 1.5 - ( - 4 ) = 5.5 = 11 / 2 greater than smaller root ( - 4 ) . hence option ( e ) . | general |
math_qa__VuIMlknDDp3V6L45 | If x + 1/x = 2 then find x2 + 1/x2
Choose the correct choice from the following answers:
A) 1 B) 2 C) 3 D) 4 E) 5 | <gadget id="calculator">2 / 1</gadget>
<output>2</output>
<result>B</result> | B | 2 | If x + 1/x = 2 then find x2 + 1/x2 | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | divide(2, 1) | divide(n1,n0) | if x + 1 / x = p = = > x ^ 2 + 1 / x ^ 2 = p ^ 2 - 2 ans = 2 ^ 2 - 2 = 2 answer : b | general |
math_qa__fDU3IFBvsTVfPTxp | there are two cubes with ratio between volume is 125:64. then what is the value of length of each cube?
Choose the most appropriate option.
A) 25 : 16 B) 16 : 25 C) 4 : 5 D) 5 : 4 E) 150 : 96 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">125 ** (1/3)</gadget>
<output>5</output>
<gadget id="calculator">64 ** (1/3)</gadget>
<output>4</output>
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<result>D</result> | D | 1.25 | there are two cubes with ratio between volume is 125:64. then what is the value of length of each cube? | {
"A": "25 : 16",
"B": "16 : 25",
"C": "4 : 5",
"D": "5 : 4",
"E": "150 : 96"
} | divide(power(125, divide(const_1, const_3)), power(64, divide(const_1, const_3))) | divide(const_1,const_3)|power(n0,#0)|power(n1,#0)|divide(#1,#2) | given 6 a 12 : a 22 = 150 : 96 then a 12 : a 22 = 25 : 16 a 1 : a 2 = 5 : 4 so the answer is d | geometry |
math_qa__0usPEsypnqK48jlH | Ram, who is half as efficient as Krish, will take 36 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task? Choose the most appropriate option.
A) 16 days B) 12 days C) 8 days D) 6 days E) 18 days | <gadget id="calculator">1 / 36</gadget>
<output>1/36 = around 0.027778</output>
<gadget id="calculator">36 / 2</gadget>
<output>18</output>
<gadget id="calculator">1 / 18</gadget>
<output>1/18 = around 0.055556</output>
<gadget id="calculator">(1/36) + (1/18)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / (1/12)</gadget>
<output>12</output>
<result>B</result> | B | 12 | Ram, who is half as efficient as Krish, will take 36 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task? | {
"A": "16 days",
"B": "12 days",
"C": "8 days",
"D": "6 days",
"E": "18 days"
} | inverse(add(divide(const_1, 36), divide(const_1, divide(36, const_2)))) | divide(const_1,n0)|divide(n0,const_2)|divide(const_1,#1)|add(#0,#2)|inverse(#3)| | "number of days taken by ram to complete task = 36 since ram is half as efficient as krish , amount of work done by krish in 1 day = amount of work done by ram in 2 days if total work done by ram in 36 days is 36 w amount of work done by ram in 1 day = w amount of work done by krish in 1 day = 2 w total amount of work done by krish and ram in a day = 3 w total amount of time needed by krish and ram to complete task = 36 w / 3 w = 12 days answer b" | physics |
math_qa__ZlV55FKAavj35cVM | The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 24 different signs. If the company used 22 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 24 signs? Options: A) 246 B) 248 C) 92 D) 15,128 E) 30,256 | <gadget id="calculator">24 - 22</gadget>
<output>2</output>
<gadget id="calculator">22 * 2</gadget>
<output>44</output>
<gadget id="calculator">44 * 2</gadget>
<output>88</output>
<result>C</result> | C | 92 | The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 24 different signs. If the company used 22 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 24 signs? | {
"A": "246",
"B": "248",
"C": "92",
"D": "15,128",
"E": "30,256"
} | multiply(multiply(22, subtract(24, 22)), subtract(24, 22)) | subtract(n1,n2)|multiply(n2,#0)|multiply(#1,#0)| | "# of 2 - letter codes possible from 24 different signs = 24 * 24 . # of 2 - letter codes possible from 22 different signs = 22 * 22 . the difference = 24 ^ 2 - 22 ^ 2 = ( 24 - 22 ) ( 24 + 22 ) = 92 . answer : c ." | general |
math_qa__3DH2VpG7nbQhj6BB | Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 5 as remainder
Options:
A) 1637 B) 1456 C) 1567 D) 1678 E) 1635 | <gadget id="calculator">1_365 - 5</gadget>
<output>1_360</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">1_360 / 5</gadget>
<output>272</output>
<gadget id="calculator">272 * 6</gadget>
<output>1_632</output>
<gadget id="calculator">1_632 + 5</gadget>
<output>1_637</output>
<result>A</result> | A | 1,637 | Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 5 as remainder | {
"A": "1637",
"B": "1456",
"C": "1567",
"D": "1678",
"E": "1635"
} | add(multiply(divide(subtract(1365, 5), subtract(6, const_1)), 6), 5) | subtract(n0,n2)|subtract(n1,const_1)|divide(#0,#1)|multiply(n1,#2)|add(n2,#3) | let the smaller number be x . then larger number = ( x + 1365 ) . x + 1365 = 6 x + 5 5 x = 1360 x = 272 large number = 272 + 1365 = 1637 a | general |
math_qa__mG7wRP6AtVwEuEmm | A pipe can fill a cistern in 33 minutes. Find the time in which 1/11 part of the cistern will be filled? Pick one
A) 5 min B) 2 min C) 3 min D) 1 min E) 10 min | <gadget id="calculator">1 / 11</gadget>
<output>1/11 = around 0.090909</output>
<gadget id="calculator">33 * (1/11)</gadget>
<output>3</output>
<result>C</result> | C | 3 | A pipe can fill a cistern in 33 minutes. Find the time in which 1/11 part of the cistern will be filled? | {
"A": "5 min",
"B": "2 min",
"C": "3 min",
"D": "1 min",
"E": "10 min"
} | multiply(33, divide(1, 11)) | divide(n1,n2)|multiply(n0,#0)| | "full cistern filled in = 33 minutes 1 / 11 part filled in = 33 * 1 / 11 = 3 minutes answer is c" | physics |
math_qa__aBJkwxTV5NqH2wu5 | X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 36days. How long will Y take to complete the work? Select the correct option
A) 45 B) 12 C) 15 D) 18 E) 20 | <gadget id="calculator">8 / 40</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 / (4/5)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">36 * (5/4)</gadget>
<output>45</output>
<result>A</result> | A | 45 | X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 36days. How long will Y take to complete the work? | {
"A": "45",
"B": "12",
"C": "15",
"D": "18",
"E": "20"
} | multiply(36, inverse(subtract(const_1, divide(8, 40)))) | divide(n1,n0)|subtract(const_1,#0)|inverse(#1)|multiply(n2,#2) | work done by x in 8 days = 8 * 1 / 40 = 1 / 5 remaining work = 1 - 1 / 5 = 4 / 5 4 / 5 work is done by y in 36 days whole work will be done by y in 36 * 5 / 4 = 45 days answer is a | physics |
math_qa__W5Aeu9r4KerY4rcG | Mr. Hanson has a pool of money from which to give out Christmas bonuses to his 5 employees. He wants all his employees to have identical bonuses, but when he divides them out, he finds he has 2 dollars left over, as the payroll system will only accept whole dollar amounts. The next Christmas, Mr. Hanson discovers the pool for the bonuses is 3 times the size. This time, how much money will be left over? Choose the correct choice: A) 0 B) 1 C) 2 D) 3 E) 4 | <gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">2 - 1</gadget>
<output>1</output>
<result>B</result> | B | 1 | Mr. Hanson has a pool of money from which to give out Christmas bonuses to his 5 employees. He wants all his employees to have identical bonuses, but when he divides them out, he finds he has 2 dollars left over, as the payroll system will only accept whole dollar amounts. The next Christmas, Mr. Hanson discovers the pool for the bonuses is 3 times the size. This time, how much money will be left over? | {
"A": "0",
"B": "1",
"C": "2",
"D": "3",
"E": "4"
} | subtract(subtract(5, 3), const_1) | subtract(n0,n2)|subtract(#0,const_1) | set x = to amount of money for bonuses , and y to be the amount of each individual bonus . x = 5 * y + 2 . 3 x = 15 * y + 6 3 x = 3 * 5 * y + 6 3 x = 5 ( 3 ( y + 1 ) ) + 1 remainder is then 1 , so option b . | general |
math_qa__ypTb5ONv1K5oeXFu | Calculate 469138 x 9999 = ? Options:
A) 4586970843 B) 4686970743 C) 4690910862 D) 4586870843 E) none | <gadget id="calculator">469_138 * 9_999</gadget>
<output>4_690_910_862</output>
<result>C</result> | C | 4,690,910,862 | Calculate 469138 x 9999 = ? | {
"A": "4586970843",
"B": "4686970743",
"C": "4690910862",
"D": "4586870843",
"E": "none"
} | multiply(469138, 9999) | multiply(n0,n1)| | "answer 469138 x 9999 = 469138 x ( 10000 - 1 ) = 4691380000 - 469138 = 4690910862 . option : c" | general |
math_qa__3ThTEmYfSTRLPbwF | The cash difference between the selling prices of an book at a profit of 8% and 16% is $3. The ratio of the two selling prices is: Answers:
A) 55 : 23
B) 52 : 33
C) 52 : 53
D) 27 : 29
E) 51 : 34 | <gadget id="calculator">100 + 8</gadget>
<output>108</output>
<gadget id="calculator">100 + 16</gadget>
<output>116</output>
<gadget id="calculator">108 / 116</gadget>
<output>27/29 = around 0.931034</output>
<result>D</result> | D | 0.931034 | The cash difference between the selling prices of an book at a profit of 8% and 16% is $3. The ratio of the two selling prices is: | {
"A": "55 : 23",
"B": "52 : 33",
"C": "52 : 53",
"D": "27 : 29",
"E": "51 : 34"
} | divide(add(const_100, 8), add(const_100, 16)) | add(n0,const_100)|add(n1,const_100)|divide(#0,#1)| | "let c . p . of the book be $ x . then , required ratio = 108 % of x / 116 % of x = 108 / 116 = 27 / 29 = 27 : 29 d" | gain |
math_qa__qqxfpswxrNCAi9xh | If a rectangular billboard has an area of 117 square feet and a perimeter of 44 feet, what is the length of each of the shorter sides? Choose the most appropriate option.
A) 4 B) 7 C) 8 D) 9 E) 26 | <gadget id="calculator">44 / 2</gadget>
<output>22</output>
<gadget id="calculator">22 ** 2</gadget>
<output>484</output>
<gadget id="calculator">4 * 117</gadget>
<output>468</output>
<gadget id="calculator">484 - 468</gadget>
<output>16</output>
<gadget id="calculator">16 ** (1/2)</gadget>
<output>4</output>
<gadget id="calculator">22 - 4</gadget>
<output>18</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<result>D</result> | D | 9 | If a rectangular billboard has an area of 117 square feet and a perimeter of 44 feet, what is the length of each of the shorter sides? | {
"A": "4",
"B": "7",
"C": "8",
"D": "9",
"E": "26"
} | divide(subtract(divide(44, const_2), sqrt(subtract(power(divide(44, const_2), const_2), multiply(const_4, 117)))), const_2) | divide(n1,const_2)|multiply(n0,const_4)|power(#0,const_2)|subtract(#2,#1)|sqrt(#3)|subtract(#0,#4)|divide(#5,const_2)| | "this question can be solved algebraically or by testing the answers . we ' re told that a rectangle has an area of 117 and a perimeter of 44 . we ' re asked for the length of one of the shorter sides of the rectangle . since the answers are all integers , and the area is 117 , the shorter side will almost certainly be less than 10 ( since 10 x 10 = 100 , but we ' re not dealing with a square ) . answer b ( 7 ) does not divide evenly into 117 , so the correct answer is let ' s test answer d : 9 if . . . the shorter side = 9 . . . the area = 117 . . . . 117 / 9 = 13 = the longer side perimeter = 9 + 9 + 13 + 13 = 44 d" | geometry |
math_qa__1adqln7wZcM5zt1C | Bird is flying 120 km/hr between B to R. Two trains at B to R at 60 kmph. The distance traveled by the bird before it is killed? Choose the correct choice:
A) 90 kms . B) 100 kms . C) 110 kms . D) 120 kms . E) 130 kms . | <gadget id="calculator">60 + 60</gadget>
<output>120</output>
<gadget id="calculator">120 / 120</gadget>
<output>1</output>
<gadget id="calculator">1 * 120</gadget>
<output>120</output>
<result>D</result> | D | 120 | Bird is flying 120 km/hr between B to R. Two trains at B to R at 60 kmph. The distance traveled by the bird before it is killed? | {
"A": "90 kms .",
"B": "100 kms .",
"C": "110 kms .",
"D": "120 kms .",
"E": "130 kms ."
} | multiply(divide(120, add(60, 60)), 120) | add(n1,n1)|divide(n0,#0)|multiply(n0,#1) | it will depend on the distance between b and r . if distance between b and r is 120 kms , time taken by trains before collision = 120 / ( 60 + 60 ) = 1 hr distance traveled by bird in 1 hr = 120 kms . so the distance traveled by the bird before it is killed = 120 kms . answer : d | physics |
math_qa__nVJRIIkOL3JbAA5K | In a 600 m race, the ratio of the speeds of two contestants A and B is 5 : 4. A has a start of 100 m. Then, A wins by: Choose the correct choice from the following options:
A) 200 m B) 20 m C) 403 m D) 20 m E) 23 m | <gadget id="calculator">600 - 100</gadget>
<output>500</output>
<gadget id="calculator">500 * 4</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 5</gadget>
<output>400</output>
<gadget id="calculator">600 - 400</gadget>
<output>200</output>
<result>A</result> | A | 200 | In a 600 m race, the ratio of the speeds of two contestants A and B is 5 : 4. A has a start of 100 m. Then, A wins by: | {
"A": "200 m",
"B": "20 m",
"C": "403 m",
"D": "20 m",
"E": "23 m"
} | subtract(600, divide(multiply(subtract(600, 100), 4), 5)) | subtract(n0,n3)|multiply(n2,#0)|divide(#1,n1)|subtract(n0,#2) | to reach the winning post a will have to cover a distance of ( 600 - 100 ) m , i . e . , 500 m . while a covers 5 m , b covers 4 m . while a covers 500 m , b covers 4 x 500 / 5 m = 400 m . thus , when a reaches the winning post , b covers 400 m and therefore remains 200 m behind . a wins by 200 m . answer : a | physics |
math_qa__NTTYOTGoNV1CKxTM | At present the ratio between the ages of Arun and Deepak is 2:3. After 5years, Arun's age will be 25 years. What is the age of Deepak at present? Choices
A) 20 years B) 30 years C) 15 years D) 25 years E) 28 years | <gadget id="calculator">25 - 5</gadget>
<output>20</output>
<gadget id="calculator">20 * 3</gadget>
<output>60</output>
<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<result>B</result> | B | 30 | At present the ratio between the ages of Arun and Deepak is 2:3. After 5years, Arun's age will be 25 years. What is the age of Deepak at present? | {
"A": "20 years",
"B": "30 years",
"C": "15 years",
"D": "25 years",
"E": "28 years"
} | divide(multiply(subtract(25, 5), 3), 2) | subtract(n3,n2)|multiply(n1,#0)|divide(#1,n0)| | "let the present ages of arun and deepak be 2 x years and 3 x years respectively 2 x + 5 = 25 2 x = 20 x = 10 deepak ' s age = 3 x = 30 years answer is b" | other |
math_qa__GlR11uP6L3KwgjKN | the length of the bridge is 200m,which a 100 m long train cross in 60sec. then what is the speed of train? Choose the most appropriate option
A) 6 B) 5 C) 4 D) 10 E) 8 | <gadget id="calculator">200 + 100</gadget>
<output>300</output>
<gadget id="calculator">300 / 60</gadget>
<output>5</output>
<result>B</result> | B | 5 | the length of the bridge is 200m,which a 100 m long train cross in 60sec. then what is the speed of train? | {
"A": "6",
"B": "5",
"C": "4",
"D": "10",
"E": "8"
} | divide(add(200, 100), 60) | add(n0,n1)|divide(#0,n2) | speed = length / time length = ( 200 + 100 ) = 300 m time = 60 sec speed = 300 / 60 = 5 m / sec answer b | physics |
math_qa__5jwNoQuvX0RfF9PK | If a = 105 and a^3 = 21 × 25 × 45 × e, what is the value of e? Choose the correct choice from the following answers.
A) 35
B) 42
C) 45
D) 49
E) 54 | <gadget id="calculator">105 ** 3</gadget>
<output>1_157_625</output>
<gadget id="calculator">21 * 25</gadget>
<output>525</output>
<gadget id="calculator">525 * 45</gadget>
<output>23_625</output>
<gadget id="calculator">1_157_625 / 23_625</gadget>
<output>49</output>
<result>D</result> | D | 49 | If a = 105 and a^3 = 21 × 25 × 45 × e, what is the value of e? | {
"A": "35",
"B": "42",
"C": "45",
"D": "49",
"E": "54"
} | divide(power(105, 3), multiply(multiply(21, 25), 45)) | multiply(n2,n3)|power(n0,n1)|multiply(n4,#0)|divide(#1,#2)| | "a = 105 = 3 * 5 * 7 a ^ 3 = 21 × 25 × 45 × e = > a ^ 3 = ( 7 * 3 ) x ( 5 * 5 ) x ( 3 ^ 2 * 5 ) x e = > a ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x e = > ( 3 * 5 * 7 ) ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x e e = 7 ^ 2 = 49 answer d" | general |
math_qa__TZwbqfSyXM7hFi4k | if i earn a profit 50$ in a day and I have 9 employees . After keeping 10 percent profit for me, and distribute remianing money equally among my employees then how much each employee would get?
Choices
A) $ 3 B) $ 7 C) $ 1 D) $ 5 E) $ 9 | <gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">50 * 90</gadget>
<output>4_500</output>
<gadget id="calculator">100 * 9</gadget>
<output>900</output>
<gadget id="calculator">4_500 / 900</gadget>
<output>5</output>
<result>D</result> | D | 5 | if i earn a profit 50$ in a day and I have 9 employees . After keeping 10 percent profit for me, and distribute remianing money equally among my employees then how much each employee would get? | {
"A": "$ 3",
"B": "$ 7",
"C": "$ 1",
"D": "$ 5",
"E": "$ 9"
} | divide(multiply(50, subtract(const_100, 10)), multiply(const_100, 9)) | multiply(n1,const_100)|subtract(const_100,n2)|multiply(n0,#1)|divide(#2,#0) | since i earned $ 50 sp 10 percent would be 5 $ and 45 $ would remain . dividing 45 by 9 , each employee would get 5 $ each and hince option d is correct . | gain |
math_qa__0Yepx2cYhkPmMO9W | A 14% stock yields 8%.The market value of the stock is :
Choose the correct answer
A) rs . 175 B) rs . 92 C) rs . 112.50 D) rs . 116.50 E) none of these | <gadget id="calculator">100 / 8</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 14</gadget>
<output>175</output>
<result>A</result> | A | 175 | A 14% stock yields 8%.The market value of the stock is : | {
"A": "rs . 175",
"B": "rs . 92",
"C": "rs . 112.50",
"D": "rs . 116.50",
"E": "none of these"
} | multiply(divide(const_100, 8), 14) | divide(const_100,n1)|multiply(n0,#0)| | "solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 14 , investment = rs . ( 100 / 8 x 14 ) = rs . 175 ∴ market value of rs . 100 stock = rs . 175 answer a" | gain |
math_qa__bk3rY25glf4QQHcd | Find the number of shares that can be bought for Rs.8200 if the market value is Rs.25 each with brokerage being 2.5%. Pick one:
A) 237
B) 320
C) 177
D) 166
E) 111 | <gadget id="calculator">2.5 / 100</gadget>
<output>0.025</output>
<gadget id="calculator">25 + 0.025</gadget>
<output>25.025</output>
<gadget id="calculator">8_200 / 25.025</gadget>
<output>327.672328</output>
<gadget id="calculator">floor(327.672328)</gadget>
<output>327</output>
<result>B</result> | B | 320 | Find the number of shares that can be bought for Rs.8200 if the market value is Rs.25 each with brokerage being 2.5%. | {
"A": "237",
"B": "320",
"C": "177",
"D": "166",
"E": "111"
} | floor(divide(8200, add(25, divide(2.5, const_100)))) | divide(n2,const_100)|add(n1,#0)|divide(n0,#1)|floor(#2)| | "explanation : cost of each share = ( 25 + 2.5 % of 25 ) = rs . 25.625 therefore , number of shares = 8200 / 25.625 = 320 answer : b" | gain |
math_qa__v6S8irmctzuU8Ofm | Find the distance covered by a man walking for 30min at a speed of 10km/hr? Choices
A) 1 km B) 3 km C) 4 km D) 5 km E) 6 km | <gadget id="calculator">10 * 1_000</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 / 60</gadget>
<output>500/3 = around 166.666667</output>
<gadget id="calculator">30 * (500/3)</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 / 1_000</gadget>
<output>5</output>
<result>D</result> | D | 5 | Find the distance covered by a man walking for 30min at a speed of 10km/hr? | {
"A": "1 km",
"B": "3 km",
"C": "4 km",
"D": "5 km",
"E": "6 km"
} | divide(multiply(30, divide(multiply(10, const_1000), const_60)), const_1000) | multiply(n1,const_1000)|divide(#0,const_60)|multiply(n0,#1)|divide(#2,const_1000)| | "distance = 10 * 20 / 60 = 5 km answer is d" | physics |
math_qa__ZGDYKt1NYGRHXs35 | A certain ball team has an equal number of right- and left-handed players. On a certain day, two-thirds of the players were absent from practice. Of the players at practice that day, one-third were right handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of left handed players who were not at practice?
Choose the correct choice from the following answers.
A) 1 / 3 B) 2 / 3 C) 7 / 5 D) 5 / 7 E) 3 / 2 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * (2/3)</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">(1/3) - (2/9)</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">(1/2) - (1/9)</gadget>
<output>7/18 = around 0.388889</output>
<gadget id="calculator">(1/2) - (2/9)</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(7/18) / (5/18)</gadget>
<output>7/5 = around 1.4</output>
<result>C</result> | C | 1.4 | A certain ball team has an equal number of right- and left-handed players. On a certain day, two-thirds of the players were absent from practice. Of the players at practice that day, one-third were right handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of left handed players who were not at practice? | {
"A": "1 / 3",
"B": "2 / 3",
"C": "7 / 5",
"D": "5 / 7",
"E": "3 / 2"
} | divide(subtract(divide(const_1, const_2), subtract(subtract(const_1, divide(const_2, const_3)), multiply(subtract(const_1, divide(const_2, const_3)), divide(const_2, const_3)))), subtract(divide(const_1, const_2), multiply(subtract(const_1, divide(const_2, const_3)), divide(const_2, const_3)))) | divide(const_1,const_2)|divide(const_2,const_3)|subtract(const_1,#1)|multiply(#1,#2)|subtract(#2,#3)|subtract(#0,#3)|subtract(#0,#4)|divide(#6,#5)| | "say the total number of players is 18 , 9 right - handed and 9 left - handed . on a certain day , two - thirds of the players were absent from practice - - > 12 absent and 6 present . of the players at practice that day , one - third were right - handed - - > 6 * 1 / 3 = 2 were right - handed and 4 left - handed . the number of right - handed players who were not at practice that day is 9 - 2 = 7 . the number of left - handed players who were not at practice that days is 9 - 4 = 5 . the ratio = 7 / 5 . answer : c ." | general |
math_qa__gzBIoFRu5FEsqMz7 | A container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 4 ounces of a solution that is 1 part alcohol to 3 parts water. What is the ratio of alcohol to water in the resulting solution? Choose the correct option.
A) 2 : 5 B) 3 : 7 C) 3 : 5 D) 5 : 11 E) 7 : 3 | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">12 * (1/3)</gadget>
<output>4</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 * (1/4)</gadget>
<output>1</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">12 + 4</gadget>
<output>16</output>
<gadget id="calculator">16 - 5</gadget>
<output>11</output>
<gadget id="calculator">5 / 11</gadget>
<output>5/11 = around 0.454545</output>
<result>D</result> | D | 0.454545 | A container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 4 ounces of a solution that is 1 part alcohol to 3 parts water. What is the ratio of alcohol to water in the resulting solution? | {
"A": "2 : 5",
"B": "3 : 7",
"C": "3 : 5",
"D": "5 : 11",
"E": "7 : 3"
} | divide(add(multiply(12, divide(1, add(1, 2))), multiply(4, divide(1, add(1, 3)))), subtract(add(12, 4), add(multiply(12, divide(1, add(1, 2))), multiply(4, divide(1, add(1, 3)))))) | add(n1,n2)|add(n1,n5)|add(n0,n3)|divide(n1,#0)|divide(n1,#1)|multiply(n0,#3)|multiply(n3,#4)|add(#5,#6)|subtract(#2,#7)|divide(#7,#8)| | "container 1 has 12 ounces in the ratio 1 : 2 or , x + 2 x = 12 gives x ( alcohol ) = 4 and remaining water = 8 container 2 has 4 ounces in the ratio 1 : 3 or , x + 3 x = 4 gives x ( alcohol ) = 1 and remaining water = 3 mixing both we have alcohol = 4 + 1 and water = 8 + 3 ratio thus alcohol / water = 5 / 11 answer d" | other |
math_qa__JWZtGBAVkuxUgSaZ | The number which exceeds 16% of it by 84 is :
Choices:
A) 100 B) 52 C) 58 D) 60 E) 62 | <gadget id="calculator">84 * 100</gadget>
<output>8_400</output>
<gadget id="calculator">100 - 16</gadget>
<output>84</output>
<gadget id="calculator">8_400 / 84</gadget>
<output>100</output>
<result>A</result> | A | 100 | The number which exceeds 16% of it by 84 is : | {
"A": "100",
"B": "52",
"C": "58",
"D": "60",
"E": "62"
} | divide(multiply(84, const_100), subtract(const_100, 16)) | multiply(n1,const_100)|subtract(const_100,n0)|divide(#0,#1)| | "solution solution let the number be x . x - 16 % of x = 84 x - 16 / 100 x = 84 x - 4 / 25 x = 84 21 / 25 x = 84 x = ( 84 x 25 / 21 ) = 100 answer a" | gain |
math_qa__wSsuV6YiXNSxGHZb | Ratio between Rahul and Deepak is 4:3, After 4 Years Rahul age will be 32 years. What is Deepak present age. Choose the correct choice from the following options
A) 14 B) 15 C) 20 D) 21 E) 24 | <gadget id="calculator">32 - 4</gadget>
<output>28</output>
<gadget id="calculator">28 * 3</gadget>
<output>84</output>
<gadget id="calculator">84 / 4</gadget>
<output>21</output>
<result>D</result> | D | 21 | Ratio between Rahul and Deepak is 4:3, After 4 Years Rahul age will be 32 years. What is Deepak present age. | {
"A": "14",
"B": "15",
"C": "20",
"D": "21",
"E": "24"
} | divide(multiply(subtract(32, 4), 3), 4) | subtract(n3,n2)|multiply(n1,#0)|divide(#1,n0)| | "explanation : present age is 4 x and 3 x , = > 4 x + 4 = 32 = > x = 7 so deepak age is = 3 ( 7 ) = 21 option d" | other |
math_qa__wkHfNXJZIhY5w7R1 | Worker A takes 8 hours to do a job. Worker B takes 6 hours to do the same job. How long it take both A & B, working together but independently, to do the same job? Options
A) 20 / 9
B) 40 / 9
C) 50 / 9
D) 24 / 7
E) 80 / 9 | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/8) + (1/6)</gadget>
<output>7/24 = around 0.291667</output>
<gadget id="calculator">1 / (7/24)</gadget>
<output>24/7 = around 3.428571</output>
<result>D</result> | D | 3.428571 | Worker A takes 8 hours to do a job. Worker B takes 6 hours to do the same job. How long it take both A & B, working together but independently, to do the same job? | {
"A": "20 / 9",
"B": "40 / 9",
"C": "50 / 9",
"D": "24 / 7",
"E": "80 / 9"
} | divide(const_1, add(divide(const_1, 8), divide(const_1, 6))) | divide(const_1,n0)|divide(const_1,n1)|add(#0,#1)|divide(const_1,#2)| | "one day work of a = 1 / 8 one day work of b = 1 / 6 so one day work of a and b together = 1 / 8 + 1 / 6 = 7 / 24 so total days required = 24 / 7 answer : d" | physics |
math_qa__djVXkI5b21mw8Ybs | The length of the rectangular field is double its width. Inside the field there is square shaped pond 7m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choose the correct choice from the following answers: A) 54 B) 32 C) 75 D) 28 E) 11 | <gadget id="calculator">7 ** 2</gadget>
<output>49</output>
<gadget id="calculator">49 * 8</gadget>
<output>392</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">392 / (1/2)</gadget>
<output>784</output>
<gadget id="calculator">784 ** (1/2)</gadget>
<output>28</output>
<result>D</result> | D | 28 | The length of the rectangular field is double its width. Inside the field there is square shaped pond 7m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field? | {
"A": "54",
"B": "32",
"C": "75",
"D": "28",
"E": "11"
} | sqrt(divide(multiply(square_area(7), 8), inverse(const_2))) | inverse(const_2)|square_area(n0)|multiply(n2,#1)|divide(#2,#0)|sqrt(#3)| | "a / 8 = 7 * 7 = > a = 7 * 7 * 8 x * 2 x = 7 * 7 * 8 x = 14 = > 2 x = 28 answer : d" | geometry |
math_qa__9jbz7aDbhaiq40lf | How many numbers from 32 to 97 are exactly divisible by 9?
Options.
A) 5 B) 7 C) 9 D) 11 E) 12 | <gadget id="calculator">97 / 9</gadget>
<output>97/9 = around 10.777778</output>
<gadget id="calculator">floor(97/9)</gadget>
<output>10</output>
<gadget id="calculator">10 * 9</gadget>
<output>90</output>
<gadget id="calculator">32 / 9</gadget>
<output>32/9 = around 3.555556</output>
<gadget id="calculator">floor(32/9)</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">4 * 9</gadget>
<output>36</output>
<gadget id="calculator">90 - 36</gadget>
<output>54</output>
<gadget id="calculator">54 / 9</gadget>
<output>6</output>
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<result>B</result> | B | 7 | How many numbers from 32 to 97 are exactly divisible by 9? | {
"A": "5",
"B": "7",
"C": "9",
"D": "11",
"E": "12"
} | add(divide(subtract(multiply(floor(divide(97, 9)), 9), multiply(add(floor(divide(32, 9)), const_1), 9)), 9), const_1) | divide(n1,n2)|divide(n0,n2)|floor(#0)|floor(#1)|add(#3,const_1)|multiply(n2,#2)|multiply(n2,#4)|subtract(#5,#6)|divide(#7,n2)|add(#8,const_1)| | "option ' b ' 32 / 9 = 3 and 97 / 9 = 10 = = > 10 - 3 = 7 numbers" | general |
math_qa__mz9ZOfkGwBuOaVOS | The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-4), how many units is P from the y-axis?
Choices: A) 2 B) 4 C) 8 D) 10 E) 12 | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>C</result> | C | 8 | The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-4), how many units is P from the y-axis? | {
"A": "2",
"B": "4",
"C": "8",
"D": "10",
"E": "12"
} | multiply(4, const_2) | multiply(n0,const_2)| | "the x - axis is 4 units from the point p . thus the y - axis is 8 units from the point p . the answer is c ." | general |
math_qa__8fMF6E76HXgF7dNy | If 20 men can build a wall 66 metres long in 4 days, what length of a similar can be built by 86 men in 8 days? Choose the correct answer.
A) 278.4 mtrs B) 378.4 mtrs C) 478.4 mtrs D) 488.4 mtrs E) 567.6 mtrs | <gadget id="calculator">86 * 8</gadget>
<output>688</output>
<gadget id="calculator">20 * 4</gadget>
<output>80</output>
<gadget id="calculator">688 / 80</gadget>
<output>43/5 = around 8.6</output>
<gadget id="calculator">66 * (43/5)</gadget>
<output>2_838/5 = around 567.6</output>
<result>E</result> | E | 567.6 | If 20 men can build a wall 66 metres long in 4 days, what length of a similar can be built by 86 men in 8 days? | {
"A": "278.4 mtrs",
"B": "378.4 mtrs",
"C": "478.4 mtrs",
"D": "488.4 mtrs",
"E": "567.6 mtrs"
} | multiply(66, divide(multiply(86, 8), multiply(20, 4))) | multiply(n3,n4)|multiply(n0,n2)|divide(#0,#1)|multiply(n1,#2)| | "if 20 men can build a wall 66 metres long in 4 days , length of a similar wall that can be built by 86 men in 8 days = ( 66 * 86 * 8 ) / ( 4 * 20 ) = 567.6 mtrs answer : e" | physics |
math_qa__MQfxnlbqg3h5exCy | The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $250, by what percent is the price to be reduced?
Choose the correct answer:
A) 10 %
B) 15 %
C) 50 %
D) 25 %
E) 30 % | <gadget id="calculator">250 / 500</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 100</gadget>
<output>50</output>
<result>C</result> | C | 50 | The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $250, by what percent is the price to be reduced? | {
"A": "10 %",
"B": "15 %",
"C": "50 %",
"D": "25 %",
"E": "30 %"
} | multiply(divide(250, 500), const_100) | divide(n1,n0)|multiply(#0,const_100)| | "price of a coat in a certain store = $ 500 the price of the coat is to be reduced by $ 250 % change = ( final value - initial value ) * 100 / initial value % reduction = ( reduction in price ) * 100 / initial value i . e . % reduction = ( 250 ) * 100 / 500 = 50 % answer : option c" | gain |
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