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__TU3E3r7jWXarBQqP | The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hourr. The distance travelled downstream in 24 mins is? Choose one.
A) 6 km B) 7 km C) 7.2 km D) 8 km E) 8.4 km | <gadget id="calculator">24 / 60</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">15 + 3</gadget>
<output>18</output>
<gadget id="calculator">(2/5) * 18</gadget>
<output>36/5 = around 7.2</output>
<result>C</result> | C | 7.2 | The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hourr. The distance travelled downstream in 24 mins is? | {
"A": "6 km",
"B": "7 km",
"C": "7.2 km",
"D": "8 km",
"E": "8.4 km"
} | multiply(divide(24, const_60), add(15, 3)) | add(n0,n1)|divide(n2,const_60)|multiply(#0,#1)| | "speed of a boat in still water = 15 km / hr speed of the current = 3 km / hr speed downstream = ( 15 + 3 ) = 18 km / hr distance travelled downstream in 24 minutes = 2460 × 18 = 2 × 185 = 7.2 km c" | physics |
math_qa__bjnHBz9idd1FnHDh | A man can row upstream at 22 kmph and downstream at 42 kmph, and then find the speed of the man in still water? Options
A) 29 B) 92 C) 30 D) 32 E) 23 | <gadget id="calculator">22 + 42</gadget>
<output>64</output>
<gadget id="calculator">64 / 2</gadget>
<output>32</output>
<result>D</result> | D | 32 | A man can row upstream at 22 kmph and downstream at 42 kmph, and then find the speed of the man in still water? | {
"A": "29",
"B": "92",
"C": "30",
"D": "32",
"E": "23"
} | divide(add(22, 42), const_2) | add(n0,n1)|divide(#0,const_2)| | "us = 22 ds = 42 m = ( 42 + 22 ) / 2 = 32 answer : d" | physics |
math_qa__wnLgAiqysuGSPHP0 | The average weight of 20 oarsmen in a boat is increased by 2kg when one of the crew, who weight 40kg is replaced by a new man. Find the weight of the new man. Choose the most appropriate option.
A) 60 kg B) 50 kg C) 92 kg D) 80 kg E) 70 kg | <gadget id="calculator">2 * 20</gadget>
<output>40</output>
<gadget id="calculator">40 + 40</gadget>
<output>80</output>
<result>D</result> | D | 80 | The average weight of 20 oarsmen in a boat is increased by 2kg when one of the crew, who weight 40kg is replaced by a new man. Find the weight of the new man. | {
"A": "60 kg",
"B": "50 kg",
"C": "92 kg",
"D": "80 kg",
"E": "70 kg"
} | add(multiply(2, 20), 40) | multiply(n0,n1)|add(n2,#0) | total weight increased = 2 * 20 = 40 kg weight of the new man = 40 + 40 = 80 kg answer is d | general |
math_qa__dthaoTqluahsqmOh | In a club with 310 peopl, 138 play tennis, 255 play baseball, and 94 people play both sports. How many people do not pla a sport? Choose the most appropriate option:
A) 9
B) 8
C) 4
D) 10
E) 11 | <gadget id="calculator">310 - 138</gadget>
<output>172</output>
<gadget id="calculator">255 - 94</gadget>
<output>161</output>
<gadget id="calculator">172 - 161</gadget>
<output>11</output>
<result>E</result> | E | 11 | In a club with 310 peopl, 138 play tennis, 255 play baseball, and 94 people play both sports. How many people do not pla a sport? | {
"A": "9",
"B": "8",
"C": "4",
"D": "10",
"E": "11"
} | subtract(subtract(310, 138), subtract(255, 94)) | subtract(n0,n1)|subtract(n2,n3)|subtract(#0,#1) | take 94 off the baseball players - - > 161 then 161 + 138 = 299 play either baseball or tennis 310 - 299 = 11 answer is e | other |
math_qa__aq1YjxYixMQWyJZw | A 14% stock yielding 8% is quoted at? Choices:
A) 165
B) 170
C) 175
D) 180
E) 185 | <gadget id="calculator">100 / 8</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 14</gadget>
<output>175</output>
<result>C</result> | C | 175 | A 14% stock yielding 8% is quoted at? | {
"A": "165",
"B": "170",
"C": "175",
"D": "180",
"E": "185"
} | multiply(divide(const_100, 8), 14) | divide(const_100,n1)|multiply(n0,#0)| | "assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 14 , money invested = 100 × 14 / 8 = rs . 175 ie , market value of the stock = rs . 175 answer is c ." | gain |
math_qa__xSTDDE1tbOXUSeAu | At present the ratio between the ages of Arun and Deepak is 4:3. After 6years, Arun's age will be 26 years. What is the age of Deepak at present? Select:
A) 15
B) 21
C) 23
D) 12
E) 25 | <gadget id="calculator">26 - 6</gadget>
<output>20</output>
<gadget id="calculator">20 * 3</gadget>
<output>60</output>
<gadget id="calculator">60 / 4</gadget>
<output>15</output>
<result>A</result> | A | 15 | At present the ratio between the ages of Arun and Deepak is 4:3. After 6years, Arun's age will be 26 years. What is the age of Deepak at present? | {
"A": "15",
"B": "21",
"C": "23",
"D": "12",
"E": "25"
} | divide(multiply(subtract(26, 6), 3), 4) | subtract(n3,n2)|multiply(n1,#0)|divide(#1,n0) | let the present ages of arun and deepak be 4 x years and 3 x years respectively 4 x + 6 = 26 4 x = 20 x = 5 deepak ' s age = 3 x = 15 years answer is a | other |
math_qa__EZVYcNWtME5nvdrb | Working together, Jose and Jane can complete an assigned task in 5 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 15 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose
Choose the correct choice from the following answers.
A) 26 days
B) 15 days
C) 60 days
D) 65 days
E) 36 days | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<result>B</result> | B | 15 | Working together, Jose and Jane can complete an assigned task in 5 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 15 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose | {
"A": "26 days",
"B": "15 days",
"C": "60 days",
"D": "65 days",
"E": "36 days"
} | multiply(const_3, 5) | multiply(n0,const_3)| | "assume : jose does 1 job in x days , so jose does 1 / x job in a day jane does 1 job in y days , so jane does 1 / y job in a day together , they does ( x + y ) / xy job in a day . this is equals to 1 / 20 . so ( x + y ) / xy = 1 / 5 5 ( x + y ) = xy next , we ' re told 1 job takes 15 days to complete if jose and jane each does half the work . so since jose does 1 job in x days , he wil need x / 2 days to do half the job . jane similarly will need y / 2 days to do the other half . x / 2 + y / 2 = 15 x + y = 30 so xy = 150 the answer choices are : 26 days 15 days 60 days 65 days 36 days from the answer choices , so i ' ll go for 15 days for jose and 10 days for jane . answer : b" | physics |
math_qa__AALfnpWbNgnbVkm7 | Two years ago, Ram put $1,000 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $1,100. The next year, his account balance increased by 20%. At the end of the two years, by what percent has Sam's account balance increased from his initial deposit of $1,000 ? Pick one:
A) 40 %
B) 25 %
C) 35 %
D) 30 %
E) 32 % | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 1_100</gadget>
<output>220</output>
<gadget id="calculator">220 + 100</gadget>
<output>320</output>
<gadget id="calculator">320 / 1_000</gadget>
<output>8/25 = around 0.32</output>
<gadget id="calculator">(8/25) * 100</gadget>
<output>32</output>
<result>E</result> | E | 32 | Two years ago, Ram put $1,000 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $1,100. The next year, his account balance increased by 20%. At the end of the two years, by what percent has Sam's account balance increased from his initial deposit of $1,000 ? | {
"A": "40 %",
"B": "25 %",
"C": "35 %",
"D": "30 %",
"E": "32 %"
} | multiply(divide(add(multiply(divide(20, 100), 1,100), 100), 1,000), 100) | divide(n3,n1)|multiply(n2,#0)|add(n1,#1)|divide(#2,n0)|multiply(#3,n1)| | "investment 1000 dollars 1 st year total gained = 100 total amount end of first year = 1100 second year account increased by 20 % = 1100 * 0.2 = 220 therefore total amount by second year end = 1320 so total percentage increase in money = ( 1320 - 1000 ) * 100 / 1000 = 32 % correct answer e = 32 %" | gain |
math_qa__1BjZD9bzvrHH50nk | a gets 3 times as much money as b gets , b gets only rs . 25 more then what c gets . the 3 gets rs . 645 in all . find the share of b ? Select:
A) 134 B) 120 C) 218 D) 140 E) 145 | <gadget id="calculator">645 + 25</gadget>
<output>670</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">670 / 5</gadget>
<output>134</output>
<result>A</result> | A | 134 | a gets 3 times as much money as b gets , b gets only rs . 25 more then what c gets . the 3 gets rs . 645 in all . find the share of b ? | {
"A": "134",
"B": "120",
"C": "218",
"D": "140",
"E": "145"
} | divide(add(645, 25), add(add(3, const_1), const_1)) | add(n1,n3)|add(n0,const_1)|add(#1,const_1)|divide(#0,#2) | a + b + c = 645 a = 3 b 3 b + b + b - 25 = 645 5 b = 670 b = 134 answer : a | general |
math_qa__J8bnHsot5yPcghX6 | If (A-B-C+D = 13) and (A+B-C-D = 3), what is the value of (B-D)^2? Choose the most appropriate option: A) 4 . B) 8 . C) 12 . D) 25 . E) 64 . | <gadget id="calculator">13 + 3</gadget>
<output>16</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">3 - 8</gadget>
<output>-5</output>
<gadget id="calculator">(-5) ** 2</gadget>
<output>25</output>
<result>D</result> | D | 25 | If (A-B-C+D = 13) and (A+B-C-D = 3), what is the value of (B-D)^2? | {
"A": "4 .",
"B": "8 .",
"C": "12 .",
"D": "25 .",
"E": "64 ."
} | power(subtract(3, divide(add(13, 3), 2)), 2) | add(n0,n1)|divide(#0,n2)|subtract(n1,#1)|power(#2,n2)| | "eq 1 : a - b - c + d = 13 eq 2 : a + b - c - d = 3 ( 1 ) subtract eq 1 from eq 2 a - b - c + d = 13 - a + b - c - d = 3 - - - - - - - - - - - - - - - - - - - - - - - - - 2 b + 2 d = 10 ( 2 ) simplify - b + d = 5 b - d = - 5 ( b - d ) ^ 2 = ( - 5 ) ^ 2 = 25 my answer : d" | general |
math_qa__FwJX8rl8WWBnlB8Z | Dhoni spent 20 percent of his earning last month on rent and 5 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over? Choose the correct answer
A) 61 % B) 62 % C) 65 % D) 64 % E) 50 % | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">20 * (19/20)</gadget>
<output>19</output>
<gadget id="calculator">20 + 19</gadget>
<output>39</output>
<gadget id="calculator">100 - 39</gadget>
<output>61</output>
<result>A</result> | A | 61 | Dhoni spent 20 percent of his earning last month on rent and 5 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over? | {
"A": "61 %",
"B": "62 %",
"C": "65 %",
"D": "64 %",
"E": "50 %"
} | subtract(const_100, add(20, multiply(20, subtract(const_1, divide(5, const_100))))) | divide(n1,const_100)|subtract(const_1,#0)|multiply(n0,#1)|add(n0,#2)|subtract(const_100,#3) | say dhoni ' s earning last month was $ 100 . dhoni spent 20 percent of his earning last month on rent - - > $ 20 on rent ; 5 percent less than what he spent on rent to purchase a new dishwasher - - > $ 20 * 0.95 = $ 19 on the dishwasher . left over amount 100 - ( 20 + 19 ) = $ 61 answer : a | gain |
math_qa__ppMKF7b2HPCf6dPz | If A's height is 20% less than that of B, how much percent B's height is more than that of A?
Choose the correct choice
A) 66.66 % B) 66.68 % C) 66.766 % D) 86.66 % E) 25 % | <gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">20 / 80</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 100</gadget>
<output>25</output>
<result>E</result> | E | 25 | If A's height is 20% less than that of B, how much percent B's height is more than that of A? | {
"A": "66.66 %",
"B": "66.68 %",
"C": "66.766 %",
"D": "86.66 %",
"E": "25 %"
} | multiply(divide(20, subtract(const_100, 20)), const_100) | subtract(const_100,n0)|divide(n0,#0)|multiply(#1,const_100)| | "excess of b ' s height over a ' s = [ ( 20 / ( 100 - 20 ) ] x 100 % = 25 % answer : e )" | general |
math_qa__MuycaWYdYDGdvKhD | A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 15
matches are totally played, how many teams participated? Choose the correct choice from the following answers:
A) 4 B) 5 C) 6 D) 7 E) 8 | <gadget id="calculator">15 - 10</gadget>
<output>5</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<result>C</result> | C | 6 | A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 15
matches are totally played, how many teams participated? | {
"A": "4",
"B": "5",
"C": "6",
"D": "7",
"E": "8"
} | add(subtract(15, const_10), const_1) | subtract(n0,const_10)|add(#0,const_1) | 2 ways to solve this problem . . summation ( x ) = n ( n - 1 ) / 2 n ( n - 1 ) / 2 = 15 ; n ^ 2 - n - 30 = 0 ans : 6 answer : c | general |
math_qa__jpOeSEgkurwO76SK | The average weight of 8 sailors in a boat is increased by 1 kg if one of them weighing 56 kg is replaced by a new sailor. The weight of the new sailor is? Choose the correct choice from the following choices
A) 57 kg B) 60 kg C) 64 kg D) 62 kg E) 66 kg | <gadget id="calculator">56 + 8</gadget>
<output>64</output>
<result>C</result> | C | 64 | The average weight of 8 sailors in a boat is increased by 1 kg if one of them weighing 56 kg is replaced by a new sailor. The weight of the new sailor is? | {
"A": "57 kg",
"B": "60 kg",
"C": "64 kg",
"D": "62 kg",
"E": "66 kg"
} | add(56, 8) | add(n0,n2) | the sailor weighing 56 kg is replaced and the average is increased by 1 kg . hence , the weight of the new sailor is ( 56 + increase in total weight ) = 56 + 1 x 8 = 56 + 8 = 64 kg . answer : c | general |
math_qa__LgEnSHcKCXViZqMi | There are some sweets in party, 1/3rd eaten by kids . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 2 were remaining . How many sweets were in total ? Select.
A) 45 B) 27 C) 15 D) 26 E) 91 | <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">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * (2/3)</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="calculator">(2/3) - (4/15)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * (2/5)</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="calculator">(2/5) - (4/15)</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">2 / (2/15)</gadget>
<output>15</output>
<result>C</result> | C | 15 | There are some sweets in party, 1/3rd eaten by kids . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 2 were remaining . How many sweets were in total ? | {
"A": "45",
"B": "27",
"C": "15",
"D": "26",
"E": "91"
} | divide(2, subtract(subtract(subtract(const_1, divide(1, 3)), multiply(divide(2, 5), subtract(const_1, divide(1, 3)))), multiply(divide(2, 3), subtract(subtract(const_1, divide(1, 3)), multiply(divide(2, 5), subtract(const_1, divide(1, 3))))))) | divide(n0,n1)|divide(n2,n3)|divide(n2,n1)|subtract(const_1,#0)|multiply(#1,#3)|subtract(#3,#4)|multiply(#2,#5)|subtract(#5,#6)|divide(n2,#7) | sol : if x sweets were there in total , then x × ( 1 – 1 / 3 ) × ( 1 – 2 / 5 ) × ( 1 – 2 / 3 ) = 2 x × 2 / 3 × 3 / 5 × 1 / 3 = 2 x = 15 answer : c | general |
math_qa__d7z6iiNTvCAojBsS | A bag contains 5 green balls and 9 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour? Choose the correct choice from the following:
A) 11 / 21 B) 17 / 42 C) 23 / 42 D) 46 / 91 E) 51 / 91 | <gadget id="calculator">5 + 9</gadget>
<output>14</output>
<gadget id="calculator">9 / 14</gadget>
<output>9/14 = around 0.642857</output>
<gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">14 - 1</gadget>
<output>13</output>
<gadget id="calculator">8 / 13</gadget>
<output>8/13 = around 0.615385</output>
<gadget id="calculator">(9/14) * (8/13)</gadget>
<output>36/91 = around 0.395604</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">4 / 13</gadget>
<output>4/13 = around 0.307692</output>
<gadget id="calculator">5 / 14</gadget>
<output>5/14 = around 0.357143</output>
<gadget id="calculator">(4/13) * (5/14)</gadget>
<output>10/91 = around 0.10989</output>
<gadget id="calculator">(36/91) + (10/91)</gadget>
<output>46/91 = around 0.505495</output>
<result>D</result> | D | 0.505495 | A bag contains 5 green balls and 9 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour? | {
"A": "11 / 21",
"B": "17 / 42",
"C": "23 / 42",
"D": "46 / 91",
"E": "51 / 91"
} | add(multiply(divide(9, add(5, 9)), divide(subtract(9, const_1), subtract(add(5, 9), const_1))), multiply(divide(subtract(5, const_1), subtract(add(5, 9), const_1)), divide(5, add(5, 9)))) | add(n0,n1)|subtract(n1,const_1)|subtract(n0,const_1)|divide(n1,#0)|divide(n0,#0)|subtract(#0,const_1)|divide(#1,#5)|divide(#2,#5)|multiply(#3,#6)|multiply(#7,#4)|add(#8,#9)| | "the total number of ways to draw two balls is 14 c 2 = 91 the number of ways to draw two green balls is 5 c 2 = 10 the number of ways to draw two white balls is 9 c 2 = 36 p ( two balls of the same colour ) = 46 / 91 the answer is d ." | other |
math_qa__xGrLaOT32w3Sek02 | Find the 25% of Rs. 400. Choose the correct option.
A) s . 50 B) s . 70 C) s . 100 D) s . 80 E) s . 60 | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">400 * (1/4)</gadget>
<output>100</output>
<result>C</result> | C | 100 | Find the 25% of Rs. 400. | {
"A": "s . 50",
"B": "s . 70",
"C": "s . 100",
"D": "s . 80",
"E": "s . 60"
} | multiply(400, divide(25, const_100)) | divide(n0,const_100)|multiply(n1,#0)| | "explanation : 25 % of 400 = > 25 / 100 * 400 = rs . 100 answer : c" | gain |
math_qa__YF41F9JS9Xlm5TxI | A shop owner sells 40mtr of cloth and gains SP of 10 mtrs. Find the gain %?
Pick: A) 33.33 % B) 40 % C) 50 % D) 66.67 % E) 70 % | <gadget id="calculator">40 - 10</gadget>
<output>30</output>
<gadget id="calculator">10 / 30</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 100</gadget>
<output>100/3 = around 33.333333</output>
<result>A</result> | A | 33.33 | A shop owner sells 40mtr of cloth and gains SP of 10 mtrs. Find the gain %? | {
"A": "33.33 %",
"B": "40 %",
"C": "50 %",
"D": "66.67 %",
"E": "70 %"
} | multiply(divide(10, subtract(40, 10)), const_100) | subtract(n0,n1)|divide(n1,#0)|multiply(#1,const_100)| | "here , selling price of 10 m cloth is obtained as profit . profit of 10 m cloth = ( s . p . of 40 m cloth ) – ( c . p . of 40 m cloth ) selling price of 30 m cloth = selling price of 40 m of cloth let cost of each metre be rs . 100 . therefore , cost price of 30 m cloth = rs . 3000 and s . p . of 30 m cloth = rs . rs . 4000 profit % = 10 / 30 × 100 = 33.33 % profit of 33.33 % was made by the merchant . a" | gain |
math_qa__88tE3Y5jjIDNVCcJ | Ajay spends 50% of his monthly income on household items, 25% of his monthly income on buying cloths, 15% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income.
Choose the correct choice:
A) rs . 90000 B) rs . 36000 C) rs . 50000 D) rs . 45000 E) none of these | <gadget id="calculator">50 + 25</gadget>
<output>75</output>
<gadget id="calculator">75 + 15</gadget>
<output>90</output>
<gadget id="calculator">100 - 90</gadget>
<output>10</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">9_000 / (1/10)</gadget>
<output>90_000</output>
<result>A</result> | A | 90,000 | Ajay spends 50% of his monthly income on household items, 25% of his monthly income on buying cloths, 15% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income. | {
"A": "rs . 90000",
"B": "rs . 36000",
"C": "rs . 50000",
"D": "rs . 45000",
"E": "none of these"
} | divide(9000, divide(subtract(const_100, add(add(50, 25), 15)), const_100)) | add(n0,n1)|add(n2,#0)|subtract(const_100,#1)|divide(#2,const_100)|divide(n3,#3) | savings 10 % - 9000 expenditure 90 % - 81000 total - 90000 answer : a | gain |
math_qa__FdhdyoXOUuxqSx8v | Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 16 times as heavy as water?
Choose the correct answer:
A) 1 : 2 B) 7 : 3 C) 4 : 1 D) 5 : 2 E) 6 : 5 | <gadget id="calculator">16 - 9</gadget>
<output>7</output>
<gadget id="calculator">19 - 16</gadget>
<output>3</output>
<gadget id="calculator">7 / 3</gadget>
<output>7/3 = around 2.333333</output>
<result>B</result> | B | 2.333333 | Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 16 times as heavy as water? | {
"A": "1 : 2",
"B": "7 : 3",
"C": "4 : 1",
"D": "5 : 2",
"E": "6 : 5"
} | divide(subtract(16, 9), subtract(19, 16)) | subtract(n2,n1)|subtract(n0,n2)|divide(#0,#1)| | "g = 19 w c = 9 w let 1 gm of gold mixed with x gm of copper to get 1 + x gm of the alloy 1 gm gold + x gm copper = x + 1 gm of alloy 19 w + 9 wx = x + 1 * 16 w 19 + 9 x = 16 ( x + 1 ) x = 3 / 7 ratio of gold with copper = 1 : 3 / 7 = 7 : 3 answer is b" | general |
math_qa__lnFzZhPj6bDJzGcQ | A man has some hens and cows. If the number of heads be 60 and the number of feet equals 200, then the number of hens will be: Answers.
A) 22 B) 25 C) 24 D) 20 E) 28 | <gadget id="calculator">60 * 4</gadget>
<output>240</output>
<gadget id="calculator">240 - 200</gadget>
<output>40</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<result>D</result> | D | 20 | A man has some hens and cows. If the number of heads be 60 and the number of feet equals 200, then the number of hens will be: | {
"A": "22",
"B": "25",
"C": "24",
"D": "20",
"E": "28"
} | divide(subtract(multiply(60, const_4), 200), const_2) | multiply(n0,const_4)|subtract(#0,n1)|divide(#1,const_2)| | "explanation : let the number of hens be x and the number of cows be y . then , x + y = 60 . . . . ( i ) and 2 x + 4 y = 200 x + 2 y = 100 . . . . ( ii ) solving ( i ) and ( ii ) we get : x = 20 , y = 40 . the required answer = 20 . answer : d" | general |
math_qa__dVR3bPtJTVqoTDME | What is the difference between 62% of 150 nd 20% of 250. Choose the correct choice from the following answers.
A) 16 B) 17 C) 43 D) 19 E) 20 | <gadget id="calculator">62 * 150</gadget>
<output>9_300</output>
<gadget id="calculator">9_300 / 100</gadget>
<output>93</output>
<gadget id="calculator">20 * 250</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 / 100</gadget>
<output>50</output>
<gadget id="calculator">93 - 50</gadget>
<output>43</output>
<result>C</result> | C | 43 | What is the difference between 62% of 150 nd 20% of 250. | {
"A": "16",
"B": "17",
"C": "43",
"D": "19",
"E": "20"
} | subtract(divide(multiply(62, 150), const_100), divide(multiply(20, 250), const_100)) | multiply(n0,n1)|multiply(n2,n3)|divide(#0,const_100)|divide(#1,const_100)|subtract(#2,#3) | ( 62 / 100 ) * 150 â € “ ( 20 / 100 ) * 250 93 - 50 = 43 answer : c | gain |
math_qa__pvj4OI3PZiKJLxU2 | Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 25 percent on food, and 25 percent on other items. If Jill paid a 10 percent tax on the clothing, no tax on the food, and an 20 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes? Select the correct option
A) 5 B) 10 C) 15 D) 20 E) 25 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">50 * (1/10)</gadget>
<output>5</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">25 * (1/5)</gadget>
<output>5</output>
<gadget id="calculator">5 + 5</gadget>
<output>10</output>
<gadget id="calculator">(1/10) * 100</gadget>
<output>10</output>
<result>B</result> | B | 10 | Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 25 percent on food, and 25 percent on other items. If Jill paid a 10 percent tax on the clothing, no tax on the food, and an 20 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes? | {
"A": "5",
"B": "10",
"C": "15",
"D": "20",
"E": "25"
} | multiply(divide(add(multiply(50, divide(10, const_100)), multiply(25, divide(20, const_100))), const_100), const_100) | divide(n3,const_100)|divide(n4,const_100)|multiply(n0,#0)|multiply(n2,#1)|add(#2,#3)|divide(#4,const_100)|multiply(#5,const_100)| | "assume she has $ 200 to spend . tax clothing = 50 % = $ 100 = $ 10.00 food = 25 % = $ 50 = $ 0.00 items = 25 % = $ 50 = $ 10.00 total tax = $ 20.00 % of total amount = 20 / 200 * 100 = 10 % answer b" | general |
math_qa__qYWx1d55DUATtxvo | If a2 - b2 =11 and a*b = 5, find a4 + b4.
Choices:
A) 62 B) 181 C) 170 D) 171 E) 50 | <gadget id="calculator">11 ** 2</gadget>
<output>121</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">25 * 2</gadget>
<output>50</output>
<gadget id="calculator">121 + 50</gadget>
<output>171</output>
<result>D</result> | D | 171 | If a2 - b2 =11 and a*b = 5, find a4 + b4. | {
"A": "62",
"B": "181",
"C": "170",
"D": "171",
"E": "50"
} | add(power(11, 2), multiply(power(5, 2), 2)) | power(n3,n0)|power(n2,n0)|multiply(#0,n0)|add(#2,#1)| | "a 2 - b 2 = 11 : given a 4 + b 4 - 2 a 2 b 2 = 112 : square both sides and expand . a * b = 2 : given a 2 b 2 = 52 : square both sides . a 4 + b 4 - 2 ( 25 ) = 121 : substitute a 4 + b 4 = 171 correct answer d" | general |
math_qa__nfzQA890L0BVLzXE | On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after July 1 last year was what percent of that before July 1 last year? Choose the correct choice from the following options
A) 90 % B) 99 % C) 100 % D) 101 % E) 110 % | <gadget id="calculator">10 * 10</gadget>
<output>100</output>
<result>B</result> | B | 99 | On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after July 1 last year was what percent of that before July 1 last year? | {
"A": "90 %",
"B": "99 %",
"C": "100 %",
"D": "101 %",
"E": "110 %"
} | multiply(10, 10) | multiply(n1,n1)| | "let the number of employees before jul 1 be 100 then av sal 1 = total 1 / 100 after jul 1 employees = 90 av sal 2 = total 2 / 90 now from the question av 2 = av 1 + 10 % total 2 / 90 = total 1 / 100 + 1 / 10 * total 1 / 100 total 2 / 90 = 11 total 1 / 1000 total 2 = 99 total 1 / 100 now percent = total 2 / total 1 * 100 = 99 total 1 / total 1 = 99 answer : b" | general |
math_qa__CGAHf7yxk3hfdjEr | A small company reduced its faculty by approximately 15 percent to 195 employees. What was the original number of employees? Choose the correct choice from the following choices: A) 182 B) 208 C) 220 D) 229 E) 302 | <gadget id="calculator">100 - 15</gadget>
<output>85</output>
<gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">195 / (17/20)</gadget>
<output>3_900/17 = around 229.411765</output>
<result>D</result> | D | 229 | A small company reduced its faculty by approximately 15 percent to 195 employees. What was the original number of employees? | {
"A": "182",
"B": "208",
"C": "220",
"D": "229",
"E": "302"
} | divide(195, divide(subtract(const_100, 15), const_100)) | subtract(const_100,n0)|divide(#0,const_100)|divide(n1,#1)| | "if x is the original number of employees , then after 15 % reduction in employees number is . 85 x but we are given . 85 x = 195 x = 229 so the original number of employees is 229 correct answer - d" | gain |
math_qa__1eg7DFdIWblSzkkT | A man is 30 years older than his son. In three years, his age will be twice the age of his son. The present age of his son is:
Choose the correct choice from the following answers: A) 20 B) 21 C) 27 D) 23 E) 24 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">30 - 2</gadget>
<output>28</output>
<gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">28 / 1</gadget>
<output>28</output>
<result>C</result> | C | 27 | A man is 30 years older than his son. In three years, his age will be twice the age of his son. The present age of his son is: | {
"A": "20",
"B": "21",
"C": "27",
"D": "23",
"E": "24"
} | divide(subtract(30, 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 + 30 ) years . ( x + 30 ) + 3 = 2 ( x + 3 ) x + 33 = 2 x + 6 x = 27 . answer : c" | general |
math_qa__PCyogrkxAHaqLiBJ | Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase?
Pick:
A) 70 %
B) 60 %
C) 50 %
D) 40 %
E) 30 % | <gadget id="calculator">180 - 120</gadget>
<output>60</output>
<gadget id="calculator">60 / 120</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 100</gadget>
<output>50</output>
<result>C</result> | C | 50 | Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase? | {
"A": "70 %",
"B": "60 %",
"C": "50 %",
"D": "40 %",
"E": "30 %"
} | multiply(divide(subtract(180, 120), 120), const_100) | subtract(n1,n0)|divide(#0,n0)|multiply(#1,const_100) | increase = ( 60 / 120 ) * 100 = ( 1 / 2 ) * 100 = 50 % . c | gain |
math_qa__0fBuWr4pFkuUDM63 | Working at constant rate, pump X pumped out half of the water in a flooded basement in 3 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement? Choose the correct choice from the following choices:
A) a . 20 B) b . 12 C) c . 14 D) d . 18 E) e . 24 | <gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">1 + 6</gadget>
<output>7</output>
<gadget id="calculator">7 + 1</gadget>
<output>8</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">9 + 1</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">11 + 3</gadget>
<output>14</output>
<gadget id="calculator">14 + 1</gadget>
<output>15</output>
<gadget id="calculator">15 + 1</gadget>
<output>16</output>
<gadget id="calculator">16 + 1</gadget>
<output>17</output>
<gadget id="calculator">17 + 1</gadget>
<output>18</output>
<gadget id="calculator">18 + 1</gadget>
<output>19</output>
<gadget id="calculator">19 + 1</gadget>
<output>20</output>
<result>A</result> | A | 20 | Working at constant rate, pump X pumped out half of the water in a flooded basement in 3 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement? | {
"A": "a . 20",
"B": "b . 12",
"C": "c . 14",
"D": "d . 18",
"E": "e . 24"
} | add(add(add(add(add(add(add(add(add(add(add(add(const_1, add(3, 3)), const_1), const_1), const_1), const_1), 3), const_1), const_1), const_1), const_1), const_1), const_1) | add(n0,n1)|add(#0,const_1)|add(#1,const_1)|add(#2,const_1)|add(#3,const_1)|add(#4,const_1)|add(#5,n0)|add(#6,const_1)|add(#7,const_1)|add(#8,const_1)|add(#9,const_1)|add(#10,const_1)|add(#11,const_1)| | "rate of x = 1 / 8 rate of x + y = 1 / 6 rate of y = 1 / 6 - 1 / 8 = 1 / 24 20 hours a" | physics |
math_qa__fLsTXPIoPxqzR5gH | (753 x 753 + 247 x 247 - 753 x 247)/(753 x 753 x 753 + 247 x 247 x 247)=?
Select:
A) 1 / 1000
B) 1 / 506
C) 253 / 500
D) 253 / 1000
E) none of these | <gadget id="calculator">753 * 753</gadget>
<output>567_009</output>
<gadget id="calculator">247 * 247</gadget>
<output>61_009</output>
<gadget id="calculator">567_009 + 61_009</gadget>
<output>628_018</output>
<gadget id="calculator">753 * 247</gadget>
<output>185_991</output>
<gadget id="calculator">628_018 - 185_991</gadget>
<output>442_027</output>
<gadget id="calculator">567_009 * 753</gadget>
<output>426_957_777</output>
<gadget id="calculator">61_009 * 247</gadget>
<output>15_069_223</output>
<gadget id="calculator">426_957_777 + 15_069_223</gadget>
<output>442_027_000</output>
<gadget id="calculator">442_027 / 442_027_000</gadget>
<output>1/1_000 = around 0.001</output>
<result>A</result> | A | 0.001 | (753 x 753 + 247 x 247 - 753 x 247)/(753 x 753 x 753 + 247 x 247 x 247)=? | {
"A": "1 / 1000",
"B": "1 / 506",
"C": "253 / 500",
"D": "253 / 1000",
"E": "none of these"
} | divide(subtract(add(multiply(753, 753), multiply(247, 247)), multiply(753, 247)), add(multiply(multiply(753, 753), 753), multiply(multiply(247, 247), 247))) | multiply(n0,n0)|multiply(n2,n2)|multiply(n0,n2)|add(#0,#1)|multiply(n0,#0)|multiply(n2,#1)|add(#4,#5)|subtract(#3,#2)|divide(#7,#6) | given exp . = ( a ^ 2 + b ^ 2 - ab ) / ( a ^ 3 + b ^ 3 ) = 1 / ( a + b ) = 1 / ( 753 + 247 ) = 1 / 1000 answer : a | general |
math_qa__1xsvi9QV2JdofOtM | The area of a square field is 7201 sq m. How long will a lady take to cross the field diagonally at the rate of 1.2 km/hr? Choose the correct answer: A) 6 min B) 5 min C) 5.5 min D) 4 min E) 3 min | <gadget id="calculator">1.2 * 1_000</gadget>
<output>1_200</output>
<gadget id="calculator">7_201 / 1_200</gadget>
<output>7_201/1_200 = around 6.000833</output>
<result>A</result> | A | 6 | The area of a square field is 7201 sq m. How long will a lady take to cross the field diagonally at the rate of 1.2 km/hr? | {
"A": "6 min",
"B": "5 min",
"C": "5.5 min",
"D": "4 min",
"E": "3 min"
} | divide(7201, multiply(1.2, const_1000)) | multiply(n1,const_1000)|divide(n0,#0)| | "area of a square field = 7201 sq m let the side of square = a a ^ 2 = 7201 = > a = 84.86 diagonal = ( 2 ) ^ ( 1 / 2 ) * a = 1.414 * 84.86 = 120 speed of lady = 1.2 km / hour = 1200 m / hour = 20 m / min time taken by lady to cross the field diagonally = 120 / 20 = 6 min answer a" | geometry |
math_qa__hFTMe08y75Rz0k7b | The tax on a commodity is diminished by 22% but its consumption is increased by 9%. Find the decrease percent in the revenue derived from it? Choose the correct answer:
A) 20 % B) 18 % C) 15 % D) 12 % E) 14 % | <gadget id="calculator">100 + 9</gadget>
<output>109</output>
<gadget id="calculator">100 - 22</gadget>
<output>78</output>
<gadget id="calculator">109 * 78</gadget>
<output>8_502</output>
<gadget id="calculator">8_502 / 100</gadget>
<output>4_251/50 = around 85.02</output>
<gadget id="calculator">100 - (4_251/50)</gadget>
<output>749/50 = around 14.98</output>
<result>C</result> | C | 15 | The tax on a commodity is diminished by 22% but its consumption is increased by 9%. Find the decrease percent in the revenue derived from it? | {
"A": "20 %",
"B": "18 %",
"C": "15 %",
"D": "12 %",
"E": "14 %"
} | subtract(const_100, divide(multiply(add(const_100, 9), subtract(const_100, 22)), const_100)) | add(n1,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|subtract(const_100,#3)| | "100 * 100 = 10000 78 * 109 = 8502 10000 - - - - - - - 1200 100 - - - - - - - ? = 15 % answer : c" | general |
math_qa__Xzf0CiZLuxb8giYC | Each of the three people individually can complete a certain job in 4, 6, and 8 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates? Choose one.
A) 3 / 8 B) 5 / 12 C) 7 / 24 D) 11 / 36 E) 13 / 48 | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/6) + (1/8)</gadget>
<output>7/24 = around 0.291667</output>
<result>C</result> | C | 0.291667 | Each of the three people individually can complete a certain job in 4, 6, and 8 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates? | {
"A": "3 / 8",
"B": "5 / 12",
"C": "7 / 24",
"D": "11 / 36",
"E": "13 / 48"
} | add(divide(1, 6), divide(1, 8)) | divide(n3,n1)|divide(n3,n2)|add(#0,#1)| | "the two slowest people work at rates of 1 / 6 and 1 / 8 of the job per hour . the sum of these rates is 1 / 6 + 1 / 8 = 7 / 24 of the job per hour . the answer is c ." | physics |
math_qa__mZUfUe7sumSW2xf7 | If 5% more is gained by selling an article for Rs. 360 than by selling it for Rs. 340, the cost of the article is Choose the correct choice.
A) 289
B) 400
C) 200
D) 288
E) 111 | <gadget id="calculator">360 - 340</gadget>
<output>20</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">20 / (1/20)</gadget>
<output>400</output>
<result>B</result> | B | 400 | If 5% more is gained by selling an article for Rs. 360 than by selling it for Rs. 340, the cost of the article is | {
"A": "289",
"B": "400",
"C": "200",
"D": "288",
"E": "111"
} | divide(subtract(360, 340), divide(5, const_100)) | divide(n0,const_100)|subtract(n1,n2)|divide(#1,#0)| | "explanation : let c . p . be rs . x . then , 5 % of x = 360 - 340 = 20 x / 20 = 20 = > x = 400 answer : b" | gain |
math_qa__KOiDBQFNPfe1E0Oz | Weights of two friends Ram and Shyam are in the ratio 6:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
Choose the correct choice from the following choices
A) 19 %
B) 10 %
C) 21 %
D) 16 %
E) none | <gadget id="calculator">15 - 10</gadget>
<output>5</output>
<gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">5 * (6/5)</gadget>
<output>6</output>
<gadget id="calculator">15 + 6</gadget>
<output>21</output>
<result>C</result> | C | 21 | Weights of two friends Ram and Shyam are in the ratio 6:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased? | {
"A": "19 %",
"B": "10 %",
"C": "21 %",
"D": "16 %",
"E": "none"
} | add(15, multiply(subtract(15, 10), divide(6, 5))) | divide(n0,n1)|subtract(n4,n2)|multiply(#0,#1)|add(n4,#2)| | "solution : given ratio of ram and shayam ' s weight = 6 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 6 / 5 or , x = 21 % . answer : option c" | gain |
math_qa__bZ0OjQk74HG6kGCs | If 5 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed? Choose one:
A) 280 B) 63 C) 120 D) 160 E) 1260 | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">8 * 7</gadget>
<output>56</output>
<gadget id="calculator">56 / 2</gadget>
<output>28</output>
<gadget id="calculator">10 * 28</gadget>
<output>280</output>
<result>A</result> | A | 280 | If 5 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed? | {
"A": "280",
"B": "63",
"C": "120",
"D": "160",
"E": "1260"
} | multiply(divide(multiply(5, subtract(5, const_1)), const_2), divide(multiply(8, subtract(8, const_1)), const_2)) | subtract(n0,const_1)|subtract(n1,const_1)|multiply(n0,#0)|multiply(n1,#1)|divide(#2,const_2)|divide(#3,const_2)|multiply(#4,#5) | parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 5 c 2 for vertical 8 c 2 total parallelogram is 5 c 2 * 8 c 2 = 10 * 28 = 280 answer : a | physics |
math_qa__6wYrYDzsqTSvdVXd | In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ? Choose one
A) 12 B) 13 C) 14 D) 15 E) 16 | <gadget id="calculator">24 / 2</gadget>
<output>12</output>
<result>A</result> | A | 12 | In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ? | {
"A": "12",
"B": "13",
"C": "14",
"D": "15",
"E": "16"
} | divide(24, const_2) | divide(n0,const_2) | let no . of buffaloes be x & no . of ducks be y buffaloes have 4 legs while ducks have 2 4 x + 2 y = 2 * ( x + y ) + 24 = > 4 x + 2 y - 2 x - 2 y = 24 = > x = 12 number of buffaloes in the group = 12 answer : a | general |
math_qa__fbZHoRNpycJRDLOa | A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 24 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/s) Choose one: A) 6810 B) 7920 C) 9030 D) 10,140 E) 11,250 | <gadget id="calculator">330 * 24</gadget>
<output>7_920</output>
<result>B</result> | B | 7,920 | A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 24 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/s) | {
"A": "6810",
"B": "7920",
"C": "9030",
"D": "10,140",
"E": "11,250"
} | multiply(330, 24) | multiply(n1,n3) | the distance the sound traveled to the man is 24 * 330 = 7920 meters the answer is b . | physics |
math_qa__j0v66aVBtxc2nMw6 | What is the thousandths digit in the decimal equivalent of 57/5000?
Choose the correct option
A) 0 B) 1 C) 3 D) 5 E) 6 | <gadget id="calculator">57 / 5_000</gadget>
<output>57/5_000 = around 0.0114</output>
<gadget id="calculator">100 * (57/5_000)</gadget>
<output>57/50 = around 1.14</output>
<gadget id="calculator">floor(57/50)</gadget>
<output>1</output>
<result>B</result> | B | 1 | What is the thousandths digit in the decimal equivalent of 57/5000? | {
"A": "0",
"B": "1",
"C": "3",
"D": "5",
"E": "6"
} | floor(multiply(const_100, divide(57, 5000))) | divide(n0,n1)|multiply(#0,const_100)|floor(#1) | 57 / 5000 = 57 / ( 5 * 10 ^ 3 ) = ( 57 / 5 ) * 10 ^ - 3 = 11.4 * 10 ^ - 3 = . 0114 thousandths digit = 1 answer b | general |
math_qa__JZqpFfDSakrkDYVw | 6/8 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is
Choose the correct choice from the following options:
A) 28 % B) 54 % C) 45 % D) 72 % E) 78 % | <gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">8 - 6</gadget>
<output>2</output>
<gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(7/10) * (1/4)</gadget>
<output>7/40 = around 0.175</output>
<gadget id="calculator">100 - 80</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">6 / 8</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(1/5) * (3/4)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">(3/20) + (7/40)</gadget>
<output>13/40 = around 0.325</output>
<gadget id="calculator">(7/40) / (13/40)</gadget>
<output>7/13 = around 0.538462</output>
<gadget id="calculator">(7/13) * 100</gadget>
<output>700/13 = around 53.846154</output>
<result>B</result> | B | 54 | 6/8 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is | {
"A": "28 %",
"B": "54 %",
"C": "45 %",
"D": "72 %",
"E": "78 %"
} | multiply(divide(multiply(divide(70, const_100), divide(subtract(8, 6), 8)), add(multiply(divide(subtract(const_100, 80), const_100), divide(6, 8)), multiply(divide(70, const_100), divide(subtract(8, 6), 8)))), const_100) | divide(n3,const_100)|divide(n0,n1)|subtract(n1,n0)|subtract(const_100,n2)|divide(#2,n1)|divide(#3,const_100)|multiply(#0,#4)|multiply(#5,#1)|add(#7,#6)|divide(#6,#8)|multiply(#9,const_100)| | "total population = 80 ( assume ) . 6 / 8 * 80 = 60 people from montague . 2 / 8 * 80 = 20 people from capulet . 0.2 * 60 = 12 people from montague support juliet . 0.7 * 20 = 14 people from capulet support juliet . the probability that a juliet supporter chosen at random resides in capulet is 14 / ( 12 + 14 ) = ~ 54 answer : b ." | gain |
math_qa__JJRFeQ9x8JnH6OSx | 45 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work? Choose the correct answer
A) 10 B) 15 C) 13 D) 18 E) 19 | <gadget id="calculator">45 * 12</gadget>
<output>540</output>
<gadget id="calculator">540 * 5</gadget>
<output>2_700</output>
<gadget id="calculator">30 * 6</gadget>
<output>180</output>
<gadget id="calculator">2_700 / 180</gadget>
<output>15</output>
<result>B</result> | B | 15 | 45 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work? | {
"A": "10",
"B": "15",
"C": "13",
"D": "18",
"E": "19"
} | divide(multiply(multiply(45, 12), 5), multiply(30, 6)) | multiply(n0,n1)|multiply(n3,n4)|multiply(n2,#0)|divide(#2,#1)| | "let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 45 : : 12 : x working hours / day 6 : 5 30 x 6 x x = 45 x 5 x 12 x = ( 45 x 5 x 12 ) / ( 30 x 6 ) x = 15 answer b" | physics |
math_qa__DCsRfERpQeoaPCDU | The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
Pick one
A) 75 B) 65 C) 85 D) 95 E) 80 | <gadget id="calculator">8 * 2.5</gadget>
<output>20</output>
<gadget id="calculator">20 + 65</gadget>
<output>85</output>
<result>C</result> | C | 85 | The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? | {
"A": "75",
"B": "65",
"C": "85",
"D": "95",
"E": "80"
} | add(multiply(8, 2.5), 65) | multiply(n0,n1)|add(n2,#0)| | "total increase in weight = 8 × 2.5 = 20 if x is the weight of the new person , total increase in weight = x − 65 = > 20 = x - 65 = > x = 20 + 65 = 85 answer is c ." | general |
math_qa__KbQHNp0MC2VXn4xI | in a party , there are rows arranged with 1220 and 30 chairs and there were 3 left in all the cases . when there were 11 rows . there were no chair left . if 30 chairs were added . then what will be the reminder ? Pick one.
A) 8 B) 9 C) 10 D) 11 E) 12 | <gadget id="calculator">11 - 3</gadget>
<output>8</output>
<result>A</result> | A | 8 | in a party , there are rows arranged with 1220 and 30 chairs and there were 3 left in all the cases . when there were 11 rows . there were no chair left . if 30 chairs were added . then what will be the reminder ? | {
"A": "8",
"B": "9",
"C": "10",
"D": "11",
"E": "12"
} | subtract(11, 3) | subtract(n3,n2) | lcm of 12 , 2030 is 120 . so the number is in the form of 120 x + 3 which is divisible by 11 , by placing x = 3 , we get 363 which is divisible by 11 and the multiple of 120 when 3 is subtracted from 363 . so the no . is 363 . so when 30 is added to it and is divided by 11 we get remainder as 8 answer : a | general |
math_qa__Tw0509P5dYFrsh4j | For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(106) – g(103)? Options:
A) 100
B) 99
C) 98
D) 102
E) 104 | <gadget id="calculator">106 - 1</gadget>
<output>105</output>
<result>E</result> | E | 104 | For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(106) – g(103)? | {
"A": "100",
"B": "99",
"C": "98",
"D": "102",
"E": "104"
} | subtract(106, 1) | subtract(n2,n1)| | "g ( 106 ) = 1 * 3 * 5 * 7 * 9 * . . . * 99 * 101 * 103 * 105 g ( 103 ) = 1 * 3 * 5 * 7 * 9 * . . . * 99 * 101 * 103 g ( 106 ) - g ( 103 ) = 1 * 3 * 5 * 7 * 9 * . . . * 99 * 101 * 103 * 105 - 1 * 3 * 5 * 7 * 9 * . . . * 99 * 101 * 103 = 1 * 3 * 5 * 7 * 9 * . . . * 103 * ( 105 - 1 ) = 1 * 3 * 5 * 7 * 9 * . . . * 99 * 101 * 103 * 104 hence : e" | general |
math_qa__fYjtI0cmDdnQx4zL | If x is 11 percent greater than 90, then x =
Select:
A) 99.9 B) 91.0 C) 88.0 D) 70.9 E) 71.2 | <gadget id="calculator">11 / 100</gadget>
<output>11/100 = around 0.11</output>
<gadget id="calculator">(11/100) * 90</gadget>
<output>99/10 = around 9.9</output>
<gadget id="calculator">90 + (99/10)</gadget>
<output>999/10 = around 99.9</output>
<result>A</result> | A | 99.9 | If x is 11 percent greater than 90, then x = | {
"A": "99.9",
"B": "91.0",
"C": "88.0",
"D": "70.9",
"E": "71.2"
} | add(90, multiply(divide(11, const_100), 90)) | divide(n0,const_100)|multiply(n1,#0)|add(n1,#1)| | "11 % of 90 = ( 90 * 0.11 ) = 9.9 11 % greater than 90 = 90 + 9.9 = 99.9 answer is clearly a ." | general |
math_qa__4iKzng6rjNfkYiwU | Jim drove 923 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
Pick one.
A) 113 miles
B) 277 miles
C) 456 miles
D) 887 miles
E) 767 miles | <gadget id="calculator">1_200 - 923</gadget>
<output>277</output>
<result>B</result> | B | 277 | Jim drove 923 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey? | {
"A": "113 miles",
"B": "277 miles",
"C": "456 miles",
"D": "887 miles",
"E": "767 miles"
} | subtract(1200, 923) | subtract(n1,n0) | the number of miles to drive to finish his journey is given by 1200 - 923 = 277 miles correct answer b | physics |
math_qa__gSfgSyMZKbbOBYqh | On increasing the price of T.V. sets by 70%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ? Choose the correct answer.
A) 4 B) 5 C) 36 D) 2 E) 7 | <gadget id="calculator">100 + 70</gadget>
<output>170</output>
<gadget id="calculator">170 * 20</gadget>
<output>3_400</output>
<gadget id="calculator">3_400 / 100</gadget>
<output>34</output>
<gadget id="calculator">34 + 100</gadget>
<output>134</output>
<gadget id="calculator">170 - 134</gadget>
<output>36</output>
<result>C</result> | C | 36 | On increasing the price of T.V. sets by 70%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ? | {
"A": "4",
"B": "5",
"C": "36",
"D": "2",
"E": "7"
} | subtract(add(const_100, 70), add(divide(multiply(add(const_100, 70), 20), const_100), const_100)) | add(n0,const_100)|multiply(n1,#0)|divide(#1,const_100)|add(#2,const_100)|subtract(#0,#3)| | "explanation : let the price be = rs . 100 , and number of units sold = 100 then , sale value = rs . ( 100 × 100 ) = rs . 10000 new sale value = rs . ( 170 × 80 ) = rs . 13600 increase % = 3600 / 10000 × 100 = 36 % answer : c" | gain |
math_qa__mmYaSLiqY0cfFcXZ | How many cubes of 10 Cm edge can be put in a cubic box of 1 m edge? Options.
A) 4000 B) 2000 C) 3000 D) 5000 E) 1000 | <gadget id="calculator">1 ** 3</gadget>
<output>1</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) ** 3</gadget>
<output>1/1_000 = around 0.001</output>
<gadget id="calculator">1 / (1/1_000)</gadget>
<output>1_000</output>
<result>E</result> | E | 1,000 | How many cubes of 10 Cm edge can be put in a cubic box of 1 m edge? | {
"A": "4000",
"B": "2000",
"C": "3000",
"D": "5000",
"E": "1000"
} | divide(volume_cube(1), volume_cube(divide(10, const_100))) | divide(n0,const_100)|volume_cube(n1)|volume_cube(#0)|divide(#1,#2)| | "( 110 × 100 × 100 ) / 10 × 10 × 10 = 1000 answer is e ." | physics |
math_qa__y7hZ6wpOl7jW8jc7 | A train running at the speed of 60 km/hr crosses a pole in 36 seconds. Find the length of the train?
Pick one:
A) 150 meter B) 600 meter C) 167 meter D) 719 meter E) 169 meter | <gadget id="calculator">60 * 1_000</gadget>
<output>60_000</output>
<gadget id="calculator">60_000 / 3_600</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) * 36</gadget>
<output>600</output>
<result>B</result> | B | 600 | A train running at the speed of 60 km/hr crosses a pole in 36 seconds. Find the length of the train? | {
"A": "150 meter",
"B": "600 meter",
"C": "167 meter",
"D": "719 meter",
"E": "169 meter"
} | multiply(divide(multiply(60, const_1000), const_3600), 36) | multiply(n0,const_1000)|divide(#0,const_3600)|multiply(n1,#1)| | "speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 36 = 600 meter answer : b" | physics |
math_qa__gEfTEtiL8OBatzv3 | The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is? Choose one:
A) 8 B) 7 C) 6 D) 5 E) 2 | <gadget id="calculator">128 / 2</gadget>
<output>64</output>
<gadget id="calculator">64 ** (1/2)</gadget>
<output>8</output>
<result>A</result> | A | 8 | The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is? | {
"A": "8",
"B": "7",
"C": "6",
"D": "5",
"E": "2"
} | sqrt(divide(128, const_2)) | divide(n0,const_2)|sqrt(#0) | 2 x * x = 128 = > x = 8 answer : a | geometry |
math_qa__MJcwsus61Z40g9UV | The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together? Choose the correct choice from the following answers: A) 40 B) 99 C) 88 D) 77 E) 66 | <gadget id="calculator">60 + 20</gadget>
<output>80</output>
<gadget id="calculator">80 / 2</gadget>
<output>40</output>
<result>A</result> | A | 40 | The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together? | {
"A": "40",
"B": "99",
"C": "88",
"D": "77",
"E": "66"
} | divide(add(60, 20), const_2) | add(n0,n1)|divide(#0,const_2)| | "let the marks obtained by the student in mathematics , physics and chemistry be m , p and c respectively . given , m + c = 60 and c - p = 20 m + c / 2 = [ ( m + p ) + ( c - p ) ] / 2 = ( 60 + 20 ) / 2 = 40 . answer : a" | general |
math_qa__CC4rjPBVAKodtQwQ | A,B,and C were started a business, the total profit for one year is $56700.The profit sharing ratio is 8:9:10 (according to their investment they divide their profit).what is the profit of c? Pick one.
A) $ 5670 B) $ 18900 C) $ 21000 D) $ 13500 E) $ 27000 | <gadget id="calculator">8 + 9</gadget>
<output>17</output>
<gadget id="calculator">17 + 10</gadget>
<output>27</output>
<gadget id="calculator">10 / 27</gadget>
<output>10/27 = around 0.37037</output>
<gadget id="calculator">(10/27) * 56_700</gadget>
<output>21_000</output>
<result>C</result> | C | 21,000 | A,B,and C were started a business, the total profit for one year is $56700.The profit sharing ratio is 8:9:10 (according to their investment they divide their profit).what is the profit of c? | {
"A": "$ 5670",
"B": "$ 18900",
"C": "$ 21000",
"D": "$ 13500",
"E": "$ 27000"
} | multiply(divide(10, add(add(8, 9), 10)), 56700) | add(n1,n2)|add(n3,#0)|divide(n3,#1)|multiply(n0,#2) | a : b : c = 8 + 9 + 10 = 27 ; c ' share = 10 / 27 of the total profit . c will get = 10 / 27 * $ 56700 = $ 21000 . answer : c | gain |
math_qa__j4JqzCYI5ozurpAu | If the product of the integers from 1 to n is divisible by 1029, what is the least possible value of n? Choose the correct option
A) 7 B) 14 C) 21 D) 28 E) 35 | <gadget id="calculator">1_029 / 3</gadget>
<output>343</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">343 / 7</gadget>
<output>49</output>
<gadget id="calculator">49 / 7</gadget>
<output>7</output>
<gadget id="calculator">7 * 3</gadget>
<output>21</output>
<result>C</result> | C | 21 | If the product of the integers from 1 to n is divisible by 1029, what is the least possible value of n? | {
"A": "7",
"B": "14",
"C": "21",
"D": "28",
"E": "35"
} | multiply(divide(divide(divide(1029, const_3), add(const_3, const_4)), add(const_3, const_4)), const_3) | add(const_3,const_4)|divide(n1,const_3)|divide(#1,#0)|divide(#2,#0)|multiply(#3,const_3) | 1029 = 7 x 7 x 7 x 3 n must include at least 7 , 2 * 7 , and 3 * 7 . the answer is c . | general |
math_qa__mW0NDniV5I6MgpPG | Average families of 4 pay $3000 for their health insurance deductibles annually. There will be a 2/3 increase in the deductibles for next year. How much more will the average family pay in deductibles next year? Choices: A) $ 1000 B) $ 2000 C) $ 3000 D) $ 4000 E) $ 5000 | <gadget id="calculator">3_000 * 2</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 / 3</gadget>
<output>2_000</output>
<result>B</result> | B | 2,000 | Average families of 4 pay $3000 for their health insurance deductibles annually. There will be a 2/3 increase in the deductibles for next year. How much more will the average family pay in deductibles next year? | {
"A": "$ 1000",
"B": "$ 2000",
"C": "$ 3000",
"D": "$ 4000",
"E": "$ 5000"
} | divide(multiply(3000, 2), 3) | multiply(n1,n2)|divide(#0,n3) | a certain percentage of questions in the quant section of the gmat are just ' math questions ' - you ' ll use a formula , do some calculations and you ' ll have the answer . this is one of those types of questions . you still have to write everything down and stay organized , but the work involved is relatively straight - forward . here , we ' re told that the current annual deductible is $ 3000 and that the deductible is to be increased by 2 / 3 . we ' re asked how much more will the deductible cost a family next year . original deductible = $ 3000 increase in deductible = 2 / 3 the answer is calculated by the equation : $ 3000 × 2 / 3 = $ 2000 . b | general |
math_qa__9kUFjBoCInFJ5VmZ | At the end of the month, a certain ocean desalination plant’s reservoir contained 6 million gallons of water. This amount is twice the normal level. If this amount represents 60% of the reservoir’s total capacity, how many million gallons short of total capacity is the normal level? Choose the correct choice from the following.
A) 15 B) 10 C) 5 D) 20 E) 25 | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">3 / (3/5)</gadget>
<output>5</output>
<result>C</result> | C | 5 | At the end of the month, a certain ocean desalination plant’s reservoir contained 6 million gallons of water. This amount is twice the normal level. If this amount represents 60% of the reservoir’s total capacity, how many million gallons short of total capacity is the normal level? | {
"A": "15",
"B": "10",
"C": "5",
"D": "20",
"E": "25"
} | divide(divide(6, const_2), divide(60, const_100)) | divide(n0,const_2)|divide(n1,const_100)|divide(#0,#1)| | "the q talks of total capacity , normal level , present level , shortage etc . . so it is all about not going wrong in these terms 6 mg = 60 % of total . . total = 6 / . 6 = 10 mg . . normal level = 1 / 2 of 10 = 5 mg . . shortage of normal level = 10 - 5 = 5 mg . . c" | general |
math_qa__XBt07PYOzug49KFz | Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 60 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute? Pick
A) 6 : 5 B) 9 : 25 C) 5 : 6 D) 25 : 9 E) can not be determined from the information provided | <gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">2 * pi * 25</gadget>
<output>50*pi = around 157.079633</output>
<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<gadget id="calculator">2 * pi * 30</gadget>
<output>60*pi = around 188.495559</output>
<gadget id="calculator">(50*pi) / (60*pi)</gadget>
<output>5/6 = around 0.833333</output>
<result>C</result> | C | 0.833333 | Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 60 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute? | {
"A": "6 : 5",
"B": "9 : 25",
"C": "5 : 6",
"D": "25 : 9",
"E": "can not be determined from the information provided"
} | divide(circumface(divide(50, const_2)), circumface(divide(60, const_2))) | divide(n1,const_2)|divide(n0,const_2)|circumface(#0)|circumface(#1)|divide(#2,#3)| | "same circumferential rate means that a point on both the gears would take same time to come back to the same position again . hence in other words , time taken by the point to cover the circumference of gear a = time take by point to cover the circumference of gear b time a = 2 * pi * 25 / speed a time b = 2 * pi * 30 / speed b since the times are same , 50 pi / speed a = 60 pi / speed b speeda / speed b = 50 pi / 60 pi = 5 / 6 correct option : c" | physics |
math_qa__2up3PWkMs5GjDL4q | A sum of money lent out at S.I. amounts to a total of $600 after 2 years and to $850 after a further period of 5 years. What was the initial sum of money that was invested?
Choose the correct choice:
A) $ 500 B) $ 520 C) $ 540 D) $ 560 E) $ 580 | <gadget id="calculator">850 - 600</gadget>
<output>250</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">250 * (2/5)</gadget>
<output>100</output>
<gadget id="calculator">600 - 100</gadget>
<output>500</output>
<result>A</result> | A | 500 | A sum of money lent out at S.I. amounts to a total of $600 after 2 years and to $850 after a further period of 5 years. What was the initial sum of money that was invested? | {
"A": "$ 500",
"B": "$ 520",
"C": "$ 540",
"D": "$ 560",
"E": "$ 580"
} | subtract(600, multiply(subtract(850, 600), divide(2, 5))) | divide(n1,n3)|subtract(n2,n0)|multiply(#0,#1)|subtract(n0,#2) | s . i for 5 years = $ 850 - $ 600 = $ 250 the s . i . is $ 50 / year s . i . for 2 years = $ 100 principal = $ 600 - $ 100 = $ 500 the answer is a . | general |
math_qa__Ni9KUtmf2p4sUJVk | A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. metre Choices:
A) rs 680
B) rs 780
C) rs 880
D) rs 480
E) rs 980 | <gadget id="calculator">110 * 65</gadget>
<output>7_150</output>
<gadget id="calculator">2.5 * 2</gadget>
<output>5</output>
<gadget id="calculator">110 - 5</gadget>
<output>105</output>
<gadget id="calculator">65 - 5</gadget>
<output>60</output>
<gadget id="calculator">105 * 60</gadget>
<output>6_300</output>
<gadget id="calculator">7_150 - 6_300</gadget>
<output>850</output>
<gadget id="calculator">850 * 80</gadget>
<output>68_000</output>
<gadget id="calculator">68_000 / 100</gadget>
<output>680</output>
<result>A</result> | A | 680 | A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. metre | {
"A": "rs 680",
"B": "rs 780",
"C": "rs 880",
"D": "rs 480",
"E": "rs 980"
} | divide(multiply(subtract(multiply(110, 65), multiply(subtract(110, multiply(2.5, const_2)), subtract(65, multiply(2.5, const_2)))), 80), const_100) | multiply(n0,n1)|multiply(n2,const_2)|subtract(n0,#1)|subtract(n1,#1)|multiply(#2,#3)|subtract(#0,#4)|multiply(n3,#5)|divide(#6,const_100)| | "area of the plot = 110 m * 65 m = 7150 sq . m area of plot excluding gravel = 105 m * 60 m = 6300 sq . m area of gravel = 7150 sq . m - 6300 sq . m = 850 sq . m cost of building it = 850 sq . m * 80 = 68000 p in rs = 68000 / 100 = rs 680 answer : a" | physics |
math_qa__rf03gMQFmwWxN8LQ | a certain board game is played by rolling a pair of fair 6 - sided dice and then moving one ' s piece forward the number of spaces indicated by the sum showing on the dice . a player is frozen if her opponent ' s piece comes to rest in the space already occupied by her piece . if player a is about to roll and is currently 8 spaces behind player b , what is the probability that player b will be frozen after player a rolls ?
Pick one:
A) 1 / 12
B) 5 / 36
C) 1 / 6
D) 1 / 3
E) 17 / 36 | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">6 * 6</gadget>
<output>36</output>
<gadget id="calculator">5 / 36</gadget>
<output>5/36 = around 0.138889</output>
<result>B</result> | B | 0.138889 | a certain board game is played by rolling a pair of fair 6 - sided dice and then moving one ' s piece forward the number of spaces indicated by the sum showing on the dice . a player is frozen if her opponent ' s piece comes to rest in the space already occupied by her piece . if player a is about to roll and is currently 8 spaces behind player b , what is the probability that player b will be frozen after player a rolls ? | {
"A": "1 / 12",
"B": "5 / 36",
"C": "1 / 6",
"D": "1 / 3",
"E": "17 / 36"
} | divide(add(const_4, const_1), multiply(6, 6)) | add(const_1,const_4)|multiply(n0,n0)|divide(#0,#1) | no . of possible outcomes = 6 * 6 = 36 no . of outcomes that result a total of 8 ( as a is 8 spaces behind b ) = 5 ( ( 2,6 ) , ( 3,5 ) , ( 4,4 ) , ( 5,3 ) , ( 6,2 ) ) so , the probability = 5 / 36 ( option b ) | general |
math_qa__cU9cLtXZcAJW9U5n | We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $548. How many green hats did we buy? Select:
A) 36 B) 38 C) 40 D) 42 E) 44 | <gadget id="calculator">85 * 6</gadget>
<output>510</output>
<gadget id="calculator">548 - 510</gadget>
<output>38</output>
<result>B</result> | B | 38 | We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $548. How many green hats did we buy? | {
"A": "36",
"B": "38",
"C": "40",
"D": "42",
"E": "44"
} | subtract(548, multiply(85, 6)) | multiply(n0,n1)|subtract(n3,#0)| | "let b be the number of blue hats and let g be the number of green hats . b + g = 85 . b = 85 - g . 6 b + 7 g = 548 . 6 ( 85 - g ) + 7 g = 548 . 510 - 6 g + 7 g = 548 . g = 548 - 510 = 38 . the answer is b ." | general |
math_qa__W7DASw4jOQ88FQeZ | In a 100m race, Sam beats John by 5 seconds. On the contrary, if Sam allowed John to start 35m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race? Options
A) 13 seconds B) 25 seconds C) 29 seconds D) 21 seconds E) 6.25 seconds | <gadget id="calculator">100 - 35</gadget>
<output>65</output>
<gadget id="calculator">65 / 5</gadget>
<output>13</output>
<result>A</result> | A | 13 | In a 100m race, Sam beats John by 5 seconds. On the contrary, if Sam allowed John to start 35m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race? | {
"A": "13 seconds",
"B": "25 seconds",
"C": "29 seconds",
"D": "21 seconds",
"E": "6.25 seconds"
} | divide(subtract(100, 35), 5) | subtract(n0,n2)|divide(#0,n1)| | "their difference is 5 second but this difference is 0 if john allows sam to start the race from 35 m ahead . that means jhon was 35 m away from finishing line when they started together . so he will cover 35 m in 5 seconds . so his speed = 35 / 5 = 7 metre / second . so time taken = 100 / 5 = 20 seconds . so sam took = 13 seconds . correct answer = a" | physics |
math_qa__2s5NHNJb9UWbBYBz | Three runners running around a circular track can complete one revolution in 2, 4 and 5.5 respectively. When will they meet at starting point ? Choose the correct answer
A) 40 h
B) 44 h
C) 38 h
D) 20 h
E) 22 h | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">8 * 5.5</gadget>
<output>44</output>
<result>B</result> | B | 44 | Three runners running around a circular track can complete one revolution in 2, 4 and 5.5 respectively. When will they meet at starting point ? | {
"A": "40 h",
"B": "44 h",
"C": "38 h",
"D": "20 h",
"E": "22 h"
} | multiply(multiply(2, 4), 5.5) | multiply(n0,n1)|multiply(n2,#0) | time at which they meet at starting point = lcm of 2 , 4 and 5.5 = 44 h answer : b | geometry |
math_qa__w0TbtjuYJxnK6xo3 | 3 bottles contain equal mixtures of spirit and water in the ratio 6 : 1 , 5 : 2 and 3 : 1 respectively . if all the solutions are mixed together , the ratio of spirit to water in the final mixture will be Choose the most appropriate option.
A) 64 : 65 B) 65 : 64 C) 19 : 65 D) 65 : 19 E) none of these | <gadget id="calculator">6 + 5</gadget>
<output>11</output>
<gadget id="calculator">11 + 3</gadget>
<output>14</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">14 / 4</gadget>
<output>7/2 = around 3.5</output>
<result>D</result> | D | 3.421053 | 3 bottles contain equal mixtures of spirit and water in the ratio 6 : 1 , 5 : 2 and 3 : 1 respectively . if all the solutions are mixed together , the ratio of spirit to water in the final mixture will be | {
"A": "64 : 65",
"B": "65 : 64",
"C": "19 : 65",
"D": "65 : 19",
"E": "none of these"
} | divide(add(add(6, 5), 3), add(add(1, 2), 1)) | add(n1,n3)|add(n2,n4)|add(n0,#0)|add(n2,#1)|divide(#2,#3) | given that all bottles contain equal amount of mixture say v . so in the first vessel - > water : spirit = 1 / 7 : 6 / 7 in the second bottle - > 2 / 7 : 5 / 7 in the third bottle - > l / 4 : 3 / 4 . hence , the final ratio is = ( ( 6 / 7 ) + ( 5 / 7 ) + ( 3 / 4 ) ) / ( ( 1 / 7 ) + ( 2 / 7 ) + ( 1 / 4 ) ) = 65 / 19 answer : d | general |
math_qa__sdiqqC4dwsjJ313i | 12 machines can do a work in 10days. How many machines are needed to complete the work in 40days? Select.
A) 10 B) 3 C) 4 D) 7 E) 5 | <gadget id="calculator">12 * 10</gadget>
<output>120</output>
<gadget id="calculator">120 / 40</gadget>
<output>3</output>
<result>B</result> | B | 3 | 12 machines can do a work in 10days. How many machines are needed to complete the work in 40days? | {
"A": "10",
"B": "3",
"C": "4",
"D": "7",
"E": "5"
} | divide(multiply(12, 10), 40) | multiply(n0,n1)|divide(#0,n2) | required number of machines = 12 * 10 / 40 = 3 answer is b | physics |
math_qa__oebxGiPYIb1aQhXT | The age of Somu is one-third his father's. 10 years back he was one-fifth of his father's age. What is his persent age ? Answers.
A) 11
B) 13
C) 14
D) 12
E) 20 | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 * 10</gadget>
<output>50</output>
<gadget id="calculator">50 - 10</gadget>
<output>40</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<result>E</result> | E | 20 | The age of Somu is one-third his father's. 10 years back he was one-fifth of his father's age. What is his persent age ? | {
"A": "11",
"B": "13",
"C": "14",
"D": "12",
"E": "20"
} | divide(subtract(multiply(add(const_4, const_1), 10), 10), subtract(add(const_4, const_1), const_3)) | add(const_1,const_4)|multiply(n0,#0)|subtract(#0,const_3)|subtract(#1,n0)|divide(#3,#2)| | "explanation : let somu ' s age be x and that of his father be 3 x . so , x - 10 = 3 x - 10 / 5 = x = 20 answer : option e" | general |
math_qa__mM6q2Venooaq2ViF | From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 8 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ? Choose the correct choice.
A) 38 B) 39 C) 40 D) 41 E) 42 | <gadget id="calculator">100 + 8</gadget>
<output>108</output>
<gadget id="calculator">100 / 108</gadget>
<output>25/27 = around 0.925926</output>
<gadget id="calculator">(25/27) * 45</gadget>
<output>125/3 = around 41.666667</output>
<result>E</result> | E | 42 | From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 8 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ? | {
"A": "38",
"B": "39",
"C": "40",
"D": "41",
"E": "42"
} | multiply(divide(const_100, add(const_100, 8)), 45) | add(n4,const_100)|divide(const_100,#0)|multiply(n7,#1)| | "soln : - 8 x = 45 - - > 27 / 25 * x = 45 - - > x = 45 * 25 / 27 = 125 / 3 = ~ 42 . answer : e ." | gain |
math_qa__sNUCDiMUJIxbG2NQ | A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 92.16, the number of the member is the group is:
Pick.
A) 57 B) 67 C) 77 D) 87 E) 96 | <gadget id="calculator">92.16 * 100</gadget>
<output>9_216</output>
<gadget id="calculator">9_216 ** (1/2)</gadget>
<output>96</output>
<result>E</result> | E | 96 | A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 92.16, the number of the member is the group is: | {
"A": "57",
"B": "67",
"C": "77",
"D": "87",
"E": "96"
} | sqrt(multiply(92.16, const_100)) | multiply(n0,const_100)|sqrt(#0)| | "explanation : money collected = ( 92.16 x 100 ) paise = 9216 paise . ∴ number of members = √ ( 9216 ) = 96 . answer : e" | general |
math_qa__1TBBqN9i7eNCQ0Fo | If a person walks at 10 km/hr instead of 5 km/hr, he would have walked 20 km more. The actual distance traveled by him is? Choose the correct choice from the following choices.
A) 50 km B) 76 km C) 20 km D) 16 km E) 97 km | <gadget id="calculator">10 - 5</gadget>
<output>5</output>
<gadget id="calculator">20 / 5</gadget>
<output>4</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<result>C</result> | C | 20 | If a person walks at 10 km/hr instead of 5 km/hr, he would have walked 20 km more. The actual distance traveled by him is? | {
"A": "50 km",
"B": "76 km",
"C": "20 km",
"D": "16 km",
"E": "97 km"
} | multiply(5, divide(20, subtract(10, 5))) | subtract(n0,n1)|divide(n2,#0)|multiply(n1,#1)| | "let the actual distance traveled be x km . then , x / 5 = ( x + 20 ) / 10 5 x - 100 = > x = 20 km . answer : c" | general |
math_qa__b4jpaj7uwLUZnDr4 | In a public show 75 % of the seats were filled. If there were 700 seats in the hall, how many seats were vacant? Choose the correct option: A) 100 B) 110 C) 120 D) 175 E) 150 | <gadget id="calculator">100 - 75</gadget>
<output>25</output>
<gadget id="calculator">700 * 25</gadget>
<output>17_500</output>
<gadget id="calculator">17_500 / 100</gadget>
<output>175</output>
<result>D</result> | D | 175 | In a public show 75 % of the seats were filled. If there were 700 seats in the hall, how many seats were vacant? | {
"A": "100",
"B": "110",
"C": "120",
"D": "175",
"E": "150"
} | divide(multiply(700, subtract(const_100, 75)), const_100) | subtract(const_100,n0)|multiply(n1,#0)|divide(#1,const_100)| | "75 % of 600 = 75 / 100 × 700 = 450 therefore , the number of vacant seats = 700 - 450 = 175 . answer : d" | gain |
math_qa__DBKG4hqRWYf1RNYT | Find the value of m 82519 x 9999 = m? Choose the correct choice from the following answers:
A) 724533811
B) 353654655
C) 825107481
D) 725117481
E) 477899932 | <gadget id="calculator">9_999 - 4</gadget>
<output>9_995</output>
<gadget id="calculator">9_995 * 82_519</gadget>
<output>824_777_405</output>
<result>C</result> | C | 825,107,481 | Find the value of m 82519 x 9999 = m? | {
"A": "724533811",
"B": "353654655",
"C": "825107481",
"D": "725117481",
"E": "477899932"
} | multiply(subtract(9999, const_4), 82519) | subtract(n1,const_4)|multiply(#0,n0)| | "82519 x 9999 = 82519 x ( 10000 - 1 ) = 82519 x 10000 - 82519 x 1 = 825190000 - 82519 = 825107481 c" | general |
math_qa__OvNJOH2OkBpdDgVp | If one root of the equation 2x^2 + 3x – k = 0 is 4, what is the value of k? Choose the most appropriate option: A) 35 B) 40 C) 44 D) 45 E) 56 | <gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">2 * 16</gadget>
<output>32</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">32 + 12</gadget>
<output>44</output>
<result>C</result> | C | 44 | If one root of the equation 2x^2 + 3x – k = 0 is 4, what is the value of k? | {
"A": "35",
"B": "40",
"C": "44",
"D": "45",
"E": "56"
} | add(multiply(2, power(4, 2)), multiply(3, 4)) | multiply(n2,n4)|power(n4,n0)|multiply(n0,#1)|add(#2,#0)| | "we just enter this root into the equation in order to recieve an equation to find the answer ! 2 * 4 ^ 2 + 3 * 4 - k = 0 k = 32 + 12 = 44 the answer is c" | general |
math_qa__E4VFXkCyyjISO3LL | 4 different airplanes owned by a rock band will be refueling today at the same airport. There are 2 larger planes carrying people and 2 smaller planes carrying equipment. All tanks are empty and will need to be filled completely. The 2 smaller tanks hold 60 liters each and the larger tanks are 50% bigger. Fuel is .50 cents a liter and there is a charge of $100 service for each plane. How much will it cost to fill all 4 planes? Choose one.
A) $ 475 B) $ 500 C) $ 525 D) $ 550 E) $ 575 | <gadget id="calculator">100 * 4</gadget>
<output>400</output>
<gadget id="calculator">2 * 60</gadget>
<output>120</output>
<gadget id="calculator">60 * 50</gadget>
<output>3_000</output>
<gadget id="calculator">3_000 / 100</gadget>
<output>30</output>
<gadget id="calculator">30 + 60</gadget>
<output>90</output>
<gadget id="calculator">2 * 90</gadget>
<output>180</output>
<gadget id="calculator">120 + 180</gadget>
<output>300</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">300 * (1/2)</gadget>
<output>150</output>
<gadget id="calculator">400 + 150</gadget>
<output>550</output>
<result>D</result> | D | 550 | 4 different airplanes owned by a rock band will be refueling today at the same airport. There are 2 larger planes carrying people and 2 smaller planes carrying equipment. All tanks are empty and will need to be filled completely. The 2 smaller tanks hold 60 liters each and the larger tanks are 50% bigger. Fuel is .50 cents a liter and there is a charge of $100 service for each plane. How much will it cost to fill all 4 planes? | {
"A": "$ 475",
"B": "$ 500",
"C": "$ 525",
"D": "$ 550",
"E": "$ 575"
} | add(multiply(100, 4), multiply(add(multiply(2, 60), multiply(2, add(divide(multiply(60, 50), 100), 60))), divide(const_1, const_2))) | divide(const_1,const_2)|multiply(n0,n7)|multiply(n1,n4)|multiply(n4,n5)|divide(#3,n7)|add(n4,#4)|multiply(n1,#5)|add(#2,#6)|multiply(#7,#0)|add(#1,#8) | lots of calculations . 100 * 4 + 2 * 60 * . 50 + 60 * ( 3 / 2 ) * 2 * . 50 answer = $ 550 the correct option is d | physics |
math_qa__kqn4p3VP0WFwPZOr | How many litres of pure acid are there in 12 litres of a 40% solution Select the correct option.
A) 3.6 B) 4.8 C) 3.5 D) 2.3 E) 4.4 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 12</gadget>
<output>24/5 = around 4.8</output>
<result>B</result> | B | 4.8 | How many litres of pure acid are there in 12 litres of a 40% solution | {
"A": "3.6",
"B": "4.8",
"C": "3.5",
"D": "2.3",
"E": "4.4"
} | multiply(divide(40, const_100), 12) | divide(n1,const_100)|multiply(n0,#0)| | explanation : question of this type looks a bit typical , but it is too simple , as below . . . it will be 12 * 40 / 100 = 4.8 answer : option b | gain |
math_qa__RnjUqudYCR8b9wbG | A train 100 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train. Choose the correct option
A) 45 kmph B) 50 kmph C) 55 kmph D) 60 kmph E) 70 kmph | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">6 * (5/18)</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">100 / (5/3)</gadget>
<output>60</output>
<gadget id="calculator">60 - 5</gadget>
<output>55</output>
<result>C</result> | C | 55 | A train 100 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train. | {
"A": "45 kmph",
"B": "50 kmph",
"C": "55 kmph",
"D": "60 kmph",
"E": "70 kmph"
} | subtract(divide(100, multiply(6, const_0_2778)), 5) | multiply(n1,const_0_2778)|divide(n0,#0)|subtract(#1,n2)| | "explanation : let the speed of the train be x kmph . speed of the train relative to man = ( x + 5 ) kmph = ( x + 5 ) × 5 / 18 m / sec . therefore 100 / ( ( x + 5 ) × 5 / 18 ) = 6 < = > 30 ( x + 5 ) = 1800 < = > x = 55 speed of the train is 55 kmph . answer : option c" | physics |
math_qa__CDUQIAnsiXJa0QZJ | If the length of the diagonal of a square is 20cm,then its perimeter must be Pick.
A) 40 B) 38 C) 27 D) 29 E) 11 | <gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">400 / 2</gadget>
<output>200</output>
<gadget id="calculator">200 ** (1/2)</gadget>
<output>10*sqrt(2) = around 14.142136</output>
<gadget id="calculator">2 ** (1/2)</gadget>
<output>sqrt(2) = around 1.414214</output>
<gadget id="calculator">(10*sqrt(2)) / (sqrt(2))</gadget>
<output>10</output>
<gadget id="calculator">4 * 10</gadget>
<output>40</output>
<result>A</result> | A | 40 | If the length of the diagonal of a square is 20cm,then its perimeter must be | {
"A": "40",
"B": "38",
"C": "27",
"D": "29",
"E": "11"
} | square_perimeter(divide(sqrt(divide(power(20, const_2), const_2)), sqrt(const_2))) | power(n0,const_2)|sqrt(const_2)|divide(#0,const_2)|sqrt(#2)|divide(#3,#1)|square_perimeter(#4) | explanation : d = √ 2 l answer : a ) 40 | geometry |
math_qa__SxzWcysERWMfVXc4 | Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 45 seconds. What is the length of each train (in meters)? Pick: A) 48.5 B) 62.5 C) 73.5 D) 87.5 E) 96.5 | <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">(25/9) * 45</gadget>
<output>125</output>
<gadget id="calculator">125 / 2</gadget>
<output>125/2 = around 62.5</output>
<result>B</result> | B | 62.5 | Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 45 seconds. What is the length of each train (in meters)? | {
"A": "48.5",
"B": "62.5",
"C": "73.5",
"D": "87.5",
"E": "96.5"
} | divide(multiply(divide(multiply(subtract(46, 36), const_1000), const_3600), 45), const_2) | subtract(n0,n1)|multiply(#0,const_1000)|divide(#1,const_3600)|multiply(n2,#2)|divide(#3,const_2) | the relative speed = 46 - 36 = 10 km / hr = 10 * 5 / 18 = 25 / 9 m / s in 45 seconds , the relative difference in distance traveled is 45 * 25 / 9 = 125 meters this distance is twice the length of each train . the length of each train is 125 / 2 = 62.5 meters the answer is b . | physics |
math_qa__pUIfQTbSrdvHi55o | If a+b+c=21, what is the total number of non-negative integral solutions?
Choose the correct answer:
A) 223
B) 233
C) 240
D) 243
E) 253 | <gadget id="calculator">21 + 2</gadget>
<output>23</output>
<gadget id="calculator">factorial(23)</gadget>
<output>25_852_016_738_884_976_640_000</output>
<gadget id="calculator">factorial(21)</gadget>
<output>51_090_942_171_709_440_000</output>
<gadget id="calculator">25_852_016_738_884_976_640_000 / 51_090_942_171_709_440_000</gadget>
<output>506</output>
<gadget id="calculator">506 / 2</gadget>
<output>253</output>
<result>E</result> | E | 253 | If a+b+c=21, what is the total number of non-negative integral solutions? | {
"A": "223",
"B": "233",
"C": "240",
"D": "243",
"E": "253"
} | divide(divide(factorial(add(21, const_2)), factorial(21)), const_2) | add(n0,const_2)|factorial(n0)|factorial(#0)|divide(#2,#1)|divide(#3,const_2) | think of it is a problem of diving 21 items to three people a , b & c which may or may not receive an item . so simply use combination here as ( n - r + 1 ) c ( r - 1 ) i . e . ( 21 + 3 - 1 ) c ( 3 - 1 ) = > 23 c 2 = = > 253 solutions . answer : e | general |
math_qa__9vf8NxC4rGMuM9Ty | A driver goes on a trip of 60 kilometers, the first 30 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour. What is the average speed of the entire trip in kilometers per hour? Choose the correct option: A) 30 B) 32 C) 36 D) 40 E) 42 | <gadget id="calculator">30 / 48</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">60 - 30</gadget>
<output>30</output>
<gadget id="calculator">30 / 24</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/8) + (5/4)</gadget>
<output>15/8 = around 1.875</output>
<gadget id="calculator">60 / (15/8)</gadget>
<output>32</output>
<result>B</result> | B | 32 | A driver goes on a trip of 60 kilometers, the first 30 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour. What is the average speed of the entire trip in kilometers per hour? | {
"A": "30",
"B": "32",
"C": "36",
"D": "40",
"E": "42"
} | divide(60, add(divide(30, 48), divide(subtract(60, 30), 24))) | divide(n1,n2)|subtract(n0,n1)|divide(#1,n3)|add(#0,#2)|divide(n0,#3)| | "the time for the first part of the trip was 30 / 48 = 5 / 8 hours . the time for the second part of the trip was 30 / 24 = 5 / 4 hours . the total time fro the trip was 5 / 8 + 5 / 4 = 15 / 8 hours . the average speed for the trip was 60 / ( 15 / 8 ) = 32 kph the answer is b ." | physics |
math_qa__1LfC4iibvfBiYG0B | A train travelled from point A to point B at 160 Km/h. On its way back the train travelled at 120 Km/h and therefore the trip back lasted one hour longer. What is the distance (in Km) between A and B? Pick one.
A) 480 . B) 500 . C) 510 . D) 600 . E) 800 . | <gadget id="calculator">160 - 120</gadget>
<output>40</output>
<gadget id="calculator">120 / 40</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">4 * 120</gadget>
<output>480</output>
<result>A</result> | A | 480 | A train travelled from point A to point B at 160 Km/h. On its way back the train travelled at 120 Km/h and therefore the trip back lasted one hour longer. What is the distance (in Km) between A and B? | {
"A": "480 .",
"B": "500 .",
"C": "510 .",
"D": "600 .",
"E": "800 ."
} | multiply(add(divide(120, subtract(160, 120)), const_1), 120) | subtract(n0,n1)|divide(n1,#0)|add(#1,const_1)|multiply(n1,#2) | distance = speed * time d 1 = s 1 t 1 d 2 = s 2 t 2 the distance from point a to point b is the same for each trip so , d 1 = d 2 and t 2 = t 1 + 1 thus , s 1 t 1 = s 2 ( t 1 + 1 ) 160 t 1 = 120 ( t 1 + 1 ) t 1 = 3 160 * 3 = 480 answer : a | physics |
math_qa__XXpGyieDZ6bpcmPr | The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Choose the correct answer.
A) 328 B) 279 C) 255 D) 288 E) 211 | <gadget id="calculator">1_000 / 1</gadget>
<output>1_000</output>
<gadget id="calculator">45 * 1_000</gadget>
<output>45_000</output>
<gadget id="calculator">3_600 / 1</gadget>
<output>3_600</output>
<gadget id="calculator">45_000 / 3_600</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 30</gadget>
<output>375</output>
<gadget id="calculator">375 - 120</gadget>
<output>255</output>
<result>C</result> | C | 255 | The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is? | {
"A": "328",
"B": "279",
"C": "255",
"D": "288",
"E": "211"
} | subtract(multiply(divide(multiply(45, speed(const_1000, const_1)), speed(const_3600, const_1)), 30), 120) | speed(const_1000,const_1)|speed(const_3600,const_1)|multiply(n1,#0)|divide(#2,#1)|multiply(n2,#3)|subtract(#4,n0)| | speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 120 + x ) / 30 = 25 / 2 = = > 2 ( 120 + x ) = 750 = = > x = 255 m . answer : c | physics |
math_qa__BQRxt7dZoD8733Dx | If a is an integer greater than 8 but less than 15 and b is an integer greater than 6 but less than 21, what is the range of a/b?
Select:
A) 140 / 217 B) 156 / 185 C) 217 / 140 D) 263 / 149 E) 241 / 163 | <gadget id="calculator">15 - 1</gadget>
<output>14</output>
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<gadget id="calculator">14 / 7</gadget>
<output>2</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">21 - 1</gadget>
<output>20</output>
<gadget id="calculator">9 / 20</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">2 - (9/20)</gadget>
<output>31/20 = around 1.55</output>
<result>C</result> | C | 1.55 | If a is an integer greater than 8 but less than 15 and b is an integer greater than 6 but less than 21, what is the range of a/b? | {
"A": "140 / 217",
"B": "156 / 185",
"C": "217 / 140",
"D": "263 / 149",
"E": "241 / 163"
} | subtract(divide(subtract(15, const_1), add(6, const_1)), divide(add(8, const_1), subtract(21, const_1))) | add(n2,const_1)|add(n0,const_1)|subtract(n1,const_1)|subtract(n3,const_1)|divide(#2,#0)|divide(#1,#3)|subtract(#4,#5) | the way to approach this problem is 8 < a < 15 and 6 < b < 21 minimum possible value of a is 9 and maximum is 14 minimum possible value of b is 7 and maximum is 20 range = max a / min b - min a / max b ( highest - lowest ) 14 / 7 - 9 / 20 = 217 / 140 hence c | general |
math_qa__Exhemr2rg5N0Mr36 | 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 5 such machines to perform the same job? Pick.
A) 2.25 hours B) 8.75 hours C) 12 hours D) 14.25 hours E) 9.6 hours | <gadget id="calculator">6 * 8</gadget>
<output>48</output>
<gadget id="calculator">48 / 5</gadget>
<output>48/5 = around 9.6</output>
<result>E</result> | E | 9.6 | 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 5 such machines to perform the same job? | {
"A": "2.25 hours",
"B": "8.75 hours",
"C": "12 hours",
"D": "14.25 hours",
"E": "9.6 hours"
} | divide(multiply(6, 8), 5) | multiply(n0,n1)|divide(#0,n2)| | "let each machine do 1 unit of work for 1 hour 8 machines - - > 8 units of work in 1 hour for 6 hours = 8 * 6 = 48 units of total work is done . now this 48 units of total work must be done by 5 machines 5 units of work ( 5 machines ) - - - > 1 hour for 48 units of work 5 * 9.6 - - - > 1 * 9.6 hours e 9.6 hours" | physics |
math_qa__gAXLVMswm8EVIAoG | the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ?. a . 27.5 % Choose the correct answer
A) 37.2 % B) 37.5 % C) 30.2 % D) 37.7 % E) 33.2 % | <gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">110 * 125</gadget>
<output>13_750</output>
<gadget id="calculator">13_750 / 100</gadget>
<output>275/2 = around 137.5</output>
<gadget id="calculator">(275/2) - 100</gadget>
<output>75/2 = around 37.5</output>
<result>B</result> | B | 37.5 | the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ?. a . 27.5 % | {
"A": "37.2 %",
"B": "37.5 %",
"C": "30.2 %",
"D": "37.7 %",
"E": "33.2 %"
} | subtract(divide(multiply(add(const_100, 10), add(const_100, 25)), const_100), const_100) | add(n0,const_100)|add(n1,const_100)|multiply(#0,#1)|divide(#2,const_100)|subtract(#3,const_100) | explanation : 100 * 100 = 10000 110 * 125 = 13750 - - - - - - - - - - - 3750 10000 - - - - - - 3750 100 - - - - - - - ? = > 37.5 % answer : option b | geometry |
math_qa__6GFpJBhAD1nyMkXM | the sum of 3 numbers is 98 . if the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8 , then the second number is : Select.
A) 20 B) 30 C) 38 D) 48 E) none of these | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">24 / 5</gadget>
<output>24/5 = around 4.8</output>
<gadget id="calculator">5 + (24/5)</gadget>
<output>49/5 = around 9.8</output>
<gadget id="calculator">98 / (49/5)</gadget>
<output>10</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<result>B</result> | B | 30 | the sum of 3 numbers is 98 . if the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8 , then the second number is : | {
"A": "20",
"B": "30",
"C": "38",
"D": "48",
"E": "none of these"
} | multiply(divide(98, add(add(2, 3), divide(multiply(8, 3), 5))), 3) | add(n0,n2)|multiply(n0,n5)|divide(#1,n4)|add(#0,#2)|divide(n1,#3)|multiply(n0,#4) | a : b = 2 : 3 = 2 × 5 : 3 × 5 = 10 : 15 and b : c = 5 : 8 = 5 × 3 : 8 × 3 = 15 : 24 therefore , a : b : c = 10 : 15 : 24 ∴ a : b : c = 10 : 15 : 24 let the number be 10 x , 15 x and 24 x . then , 10 x + 15 x + 24 x = 98 or 49 x = 98 or x = 2 ⇒ second number = 15 x = 15 × 2 = 30 answer b | other |
math_qa__rkmhXpQs1jRGeF29 | If 20 men can build a water fountain 56 metres long in 42 days, what length of a similar water fountain can be built by 35 men in 3 days? Pick one: A) 3 m B) 4 m C) 7 m D) 9 m E) 10 m | <gadget id="calculator">20 * 42</gadget>
<output>840</output>
<gadget id="calculator">56 / 840</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">35 * 3</gadget>
<output>105</output>
<gadget id="calculator">(1/15) * 105</gadget>
<output>7</output>
<result>C</result> | C | 7 | If 20 men can build a water fountain 56 metres long in 42 days, what length of a similar water fountain can be built by 35 men in 3 days? | {
"A": "3 m",
"B": "4 m",
"C": "7 m",
"D": "9 m",
"E": "10 m"
} | multiply(divide(56, multiply(20, 42)), multiply(35, 3)) | multiply(n0,n2)|multiply(n3,n4)|divide(n1,#0)|multiply(#2,#1)| | "explanation : let the required length be x metres more men , more length built ( direct proportion ) less days , less length built ( direct proportion ) men 20 : 35 days 42 : 3 : : 56 : x therefore ( 20 x 42 x x ) = ( 35 x 3 x 56 ) x = ( 35 x 3 x 56 ) / 840 = 7 hence , the required length is 7 m . answer : c" | physics |
math_qa__YGb0mgV1Ui0RU0Oy | Find large number from below question The difference of two numbers is 1500. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
A) 1234
B) 1345
C) 1456
D) 1797
E) 1635 | <gadget id="calculator">1_500 - 15</gadget>
<output>1_485</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">1_485 / 5</gadget>
<output>297</output>
<gadget id="calculator">297 * 6</gadget>
<output>1_782</output>
<result>D</result> | D | 1,797 | Find large number from below question The difference of two numbers is 1500. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder | {
"A": "1234",
"B": "1345",
"C": "1456",
"D": "1797",
"E": "1635"
} | multiply(divide(subtract(1500, 15), subtract(6, const_1)), 6) | subtract(n0,n2)|subtract(n1,const_1)|divide(#0,#1)|multiply(n1,#2)| | "let the smaller number be x . then larger number = ( x + 1500 ) . x + 1500 = 6 x + 15 5 x = 1485 x = 297 large number = 297 + 1500 = 1797 d" | general |
math_qa__1bKzgPGdMLSgBpK1 | The amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5. If they worked a combined total of 80 hours, how many hours did the secretary who worked the longest spend on the project? Options:
A) 80 B) 70 C) 56 D) 16 E) 40 | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">5 + 5</gadget>
<output>10</output>
<gadget id="calculator">80 / 10</gadget>
<output>8</output>
<gadget id="calculator">8 * 5</gadget>
<output>40</output>
<result>E</result> | E | 40 | The amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5. If they worked a combined total of 80 hours, how many hours did the secretary who worked the longest spend on the project? | {
"A": "80",
"B": "70",
"C": "56",
"D": "16",
"E": "40"
} | multiply(divide(80, add(add(2, 3), 5)), 5) | add(n0,n1)|add(n2,#0)|divide(n3,#1)|multiply(n2,#2)| | "10 x = 80 = > x = 8 therefore the secretary who worked the longest spent 8 x 5 = 40 hours on the project option ( e )" | physics |
math_qa__aBEarE1Um3ec6oUN | The ratio of number of boys and girls in a class is 3 : 2. In the 1st semester exam 20% of boys and 25%
of girls get more than or equal to 90% marks. What percentage of students get less than 90% marks ? Choose the correct choice from the following.
A) 56
B) 70
C) 78
D) 80
E) 85 | <gadget id="calculator">20 / 100</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) * 3</gadget>
<output>12/5 = around 2.4</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(12/5) + (3/2)</gadget>
<output>39/10 = around 3.9</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">(39/10) / 5</gadget>
<output>39/50 = around 0.78</output>
<gadget id="calculator">(39/50) * 100</gadget>
<output>78</output>
<result>C</result> | C | 78 | The ratio of number of boys and girls in a class is 3 : 2. In the 1st semester exam 20% of boys and 25%
of girls get more than or equal to 90% marks. What percentage of students get less than 90% marks ? | {
"A": "56",
"B": "70",
"C": "78",
"D": "80",
"E": "85"
} | multiply(divide(add(multiply(subtract(1, divide(20, const_100)), 3), multiply(subtract(1, divide(25, const_100)), 2)), add(3, 2)), const_100) | add(n0,n1)|divide(n3,const_100)|divide(n4,const_100)|subtract(n2,#1)|subtract(n2,#2)|multiply(n0,#3)|multiply(n1,#4)|add(#5,#6)|divide(#7,#0)|multiply(#8,const_100) | let boys = 3 x and girls = 2 x . number of those who get less than 90 % mark = ( 80 % of 3 x ) + ( 75 % of 2 x ) = ( 80 / 100 ) * 3 x + ( 75 / 100 * 2 x ) = 39 x / 10 required percentage = ( 39 x / 10 * 1 / 5 x * 100 ) % = 78 % . answer : c | general |
math_qa__f3UrPrOfPXBU3wXJ | A car takes 6 hours to cover a distance of 504 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Choices.
A) 48 kmph B) 50 kmph C) 52 kmph D) 56 kmph E) 60 kmph | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="calculator">504 / 9</gadget>
<output>56</output>
<result>D</result> | D | 56 | A car takes 6 hours to cover a distance of 504 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? | {
"A": "48 kmph",
"B": "50 kmph",
"C": "52 kmph",
"D": "56 kmph",
"E": "60 kmph"
} | divide(504, divide(multiply(6, 3), 2)) | multiply(n0,n2)|divide(#0,n3)|divide(n1,#1) | time = 6 distence = 504 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 504 / 9 = 56 kmph d | physics |
math_qa__may5ckKkDO0JkQbI | one - seventh of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ?
Choose the correct choice from the following options
A) 2.3 % B) 3.4 % C) 4.5 % D) 5.6 % E) 6.7 % | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/7) * (1/5)</gadget>
<output>1/35 = around 0.028571</output>
<gadget id="calculator">15 - 1</gadget>
<output>14</output>
<gadget id="calculator">14 / 15</gadget>
<output>14/15 = around 0.933333</output>
<gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">(14/15) * (6/7)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) + (1/35)</gadget>
<output>29/35 = around 0.828571</output>
<gadget id="calculator">(1/35) / (29/35)</gadget>
<output>1/29 = around 0.034483</output>
<gadget id="calculator">(1/29) * 100</gadget>
<output>100/29 = around 3.448276</output>
<result>B</result> | B | 3.4 | one - seventh of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ? | {
"A": "2.3 %",
"B": "3.4 %",
"C": "4.5 %",
"D": "5.6 %",
"E": "6.7 %"
} | multiply(divide(multiply(divide(1, add(const_3, const_4)), inverse(add(const_2, const_3))), add(multiply(divide(subtract(15, 1), 15), divide(add(const_3, const_3), add(const_3, const_4))), multiply(divide(1, add(const_3, const_4)), inverse(add(const_2, const_3))))), const_100) | add(const_3,const_4)|add(const_2,const_3)|add(const_3,const_3)|subtract(n2,n1)|divide(n1,#0)|divide(#3,n2)|divide(#2,#0)|inverse(#1)|multiply(#4,#7)|multiply(#5,#6)|add(#9,#8)|divide(#8,#10)|multiply(#11,const_100) | 1 / 7 of the switches are defective . the defective switches that are not rejected are 1 / 5 * 1 / 7 = 1 / 35 = 3 / 105 of all switches . the non defective switches that are sold are 6 / 7 * 14 / 15 = 84 / 105 of all switches . the percent of switches sold that are defective is 3 / 87 which is about 3.4 % . the answer is b . | general |
math_qa__d4quszfV36FuDJoR | The average of 10 numbers is calculated as 23. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is? Options.
A) 16 B) 18 C) 19 D) 22 E) 24 | <gadget id="calculator">36 - 26</gadget>
<output>10</output>
<gadget id="calculator">10 / 10</gadget>
<output>1</output>
<gadget id="calculator">23 + 1</gadget>
<output>24</output>
<result>E</result> | E | 24 | The average of 10 numbers is calculated as 23. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is? | {
"A": "16",
"B": "18",
"C": "19",
"D": "22",
"E": "24"
} | add(23, divide(subtract(36, 26), 10)) | subtract(n2,n3)|divide(#0,n0)|add(n1,#1)| | "explanation : 10 * 23 + 36 – 26 = 240 = > 240 / 10 = 24 e )" | general |
math_qa__rHCK5ccLnab8YRAb | A survey was sent to 80 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? Choose the correct choice from the following choices:
A) 2 %
B) 5 %
C) 14 %
D) 28 %
E) 63 % | <gadget id="calculator">9 / 63</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">7 / 80</gadget>
<output>7/80 = around 0.0875</output>
<gadget id="calculator">(1/7) - (7/80)</gadget>
<output>31/560 = around 0.055357</output>
<gadget id="calculator">(31/560) * 100</gadget>
<output>155/28 = around 5.535714</output>
<gadget id="calculator">floor(155/28)</gadget>
<output>5</output>
<result>B</result> | B | 5 | A survey was sent to 80 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? | {
"A": "2 %",
"B": "5 %",
"C": "14 %",
"D": "28 %",
"E": "63 %"
} | floor(multiply(subtract(divide(9, 63), divide(7, 80)), const_100)) | divide(n3,n2)|divide(n1,n0)|subtract(#0,#1)|multiply(#2,const_100)|floor(#3)| | "case 1 : ( 7 / 80 ) = x / 100 x = 9 % case 2 : ( 9 / 63 ) = y / 100 y = 14 % so percent increase is = ( y - x ) = ( 14 - 9 ) % = 5 % answer is b" | gain |
math_qa__XC2qc1SCCPC6104D | A person has to make 146 pieces of long bar. he take $ seconds to cut piece.what is total time taken by him to make 146 pieces? Choose the correct choice from the following options
A) 580 seconds B) 680 seconds C) 500 seconds D) 540 seconds E) 560 seconds | <gadget id="calculator">146 - 1</gadget>
<output>145</output>
<gadget id="calculator">4 * 145</gadget>
<output>580</output>
<result>A</result> | A | 580 | A person has to make 146 pieces of long bar. he take $ seconds to cut piece.what is total time taken by him to make 146 pieces? | {
"A": "580 seconds",
"B": "680 seconds",
"C": "500 seconds",
"D": "540 seconds",
"E": "560 seconds"
} | multiply(const_4, subtract(146, const_1)) | subtract(n0,const_1)|multiply(#0,const_4) | if it is 4 seconds , as u have mistaken with shift key , then . . . . we ' ll have to make 145 cuts for 146 pieces . so 145 * 5 = 580 seconds answer : a | physics |
math_qa__PQmjBvRBtWpfY3TW | A tank can supply water to a village for 60 days. If a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 45 days only. For how many days will the supply last if the leak drains out 20 liters per day?
Answers: A) 15 B) 18 C) 20 D) 24 E) 36 | <gadget id="calculator">10 * 45</gadget>
<output>450</output>
<gadget id="calculator">60 - 45</gadget>
<output>15</output>
<gadget id="calculator">450 / 15</gadget>
<output>30</output>
<gadget id="calculator">30 * 60</gadget>
<output>1_800</output>
<gadget id="calculator">20 + 30</gadget>
<output>50</output>
<gadget id="calculator">1_800 / 50</gadget>
<output>36</output>
<result>E</result> | E | 36 | A tank can supply water to a village for 60 days. If a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 45 days only. For how many days will the supply last if the leak drains out 20 liters per day? | {
"A": "15",
"B": "18",
"C": "20",
"D": "24",
"E": "36"
} | divide(multiply(divide(multiply(10, 45), subtract(60, 45)), 60), add(20, divide(multiply(10, 45), subtract(60, 45)))) | multiply(n1,n2)|subtract(n0,n2)|divide(#0,#1)|add(n3,#2)|multiply(n0,#2)|divide(#4,#3) | losing 10 liters per day results in a loss of 450 liters in 45 days . so , those 450 liters were for 15 days , making daily consumption of the village 30 liters per day . thus the capacity of the tank is 30 * 60 = 1800 liters . losing 20 liters plus 30 liters gives 50 liters per day . at this rate the supply will last 1800 / 50 = 36 days . the answer is e . | physics |
math_qa__ULSXlzqvPyb90jGu | How many plants will be there in a circular bed whose outer edge measure 32 cms, allowing 4 cm2 for each plant ? Answers:
A) 18
B) 750
C) 24
D) 20
E) none of these | <gadget id="calculator">2 * pi</gadget>
<output>2*pi = around 6.283185</output>
<gadget id="calculator">32 / (2*pi)</gadget>
<output>16/pi = around 5.092958</output>
<gadget id="calculator">pi * ((16/pi) ** 2)</gadget>
<output>256/pi = around 81.487331</output>
<gadget id="calculator">(256/pi) / 4</gadget>
<output>64/pi = around 20.371833</output>
<result>D</result> | D | 20 | How many plants will be there in a circular bed whose outer edge measure 32 cms, allowing 4 cm2 for each plant ? | {
"A": "18",
"B": "750",
"C": "24",
"D": "20",
"E": "none of these"
} | divide(circle_area(divide(32, multiply(2, const_pi))), 4) | multiply(n2,const_pi)|divide(n0,#0)|circle_area(#1)|divide(#2,n1)| | "circumference of circular bed = 32 cm area of circular bed = ( 32 ) 2 â „ 4 ï € space for each plant = 4 cm 2 â ˆ ´ required number of plants = ( 32 ) 2 â „ 4 ï € ã · 4 = 20.36 = 20 ( approx ) answer d" | physics |
math_qa__DEd6vxO8cfT0Wboq | he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg. What might be the weight of the new person ? Answers:
A) 75 kg B) 55 kg C) 80 kg D) 85 kg E) 25 kg | <gadget id="calculator">2.5 * 8</gadget>
<output>20</output>
<gadget id="calculator">20 + 60</gadget>
<output>80</output>
<result>C</result> | C | 80 | he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg. What might be the weight of the new person ? | {
"A": "75 kg",
"B": "55 kg",
"C": "80 kg",
"D": "85 kg",
"E": "25 kg"
} | add(multiply(2.5, 8), 60) | multiply(n0,n1)|add(n2,#0)| | "explanation : total weight increased = ( 8 x 2.5 ) kg = 20 kg . weight of new person = ( 60 + 20 ) kg = 80 kg . answer : c" | general |
math_qa__Lf6v03r8h9ALoC9C | 24 oz of juice P and 25 oz of juice V are mixed to make smothies A and Y . The ratio of p to V in smothie A is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie A?
Choose one: A) 5 B) 10 C) 15 D) 20 E) 25 | <gadget id="calculator">24 * 5</gadget>
<output>120</output>
<gadget id="calculator">120 - 25</gadget>
<output>95</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">5 - (1/4)</gadget>
<output>19/4 = around 4.75</output>
<gadget id="calculator">95 / (19/4)</gadget>
<output>20</output>
<result>D</result> | D | 20 | 24 oz of juice P and 25 oz of juice V are mixed to make smothies A and Y . The ratio of p to V in smothie A is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie A? | {
"A": "5",
"B": "10",
"C": "15",
"D": "20",
"E": "25"
} | divide(subtract(multiply(24, 5), 25), subtract(5, divide(1, 4))) | divide(n3,n2)|multiply(n0,n5)|subtract(#1,n1)|subtract(n5,#0)|divide(#2,#3) | the ratio of p to v in smothie x is 4 is to 1 and that in y is 1 is to 5 . p 1 + p 2 = 24 v 1 + v 2 = 25 p 1 = 4 v 1 p 2 = v 2 / 5 4 v 1 + v 2 / 5 = 24 v 1 + v 2 = 25 4 v 2 - v 2 / 5 = 76 19 v 2 / 5 = 76 = > v 2 = 20 = > v 1 = 5 = > p 1 = 20 answer - d | other |
math_qa__xjZA4JwUHdSFGn7p | During a certain season, a team won 60 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played? Select the correct option:
A) 80 B) 70 C) 56 D) 50 E) 105 | <gadget id="calculator">60 - 70</gadget>
<output>-10</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(7/10) - (1/2)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(-10) / (1/5)</gadget>
<output>-50</output>
<gadget id="calculator">100 + (-50)</gadget>
<output>50</output>
<result>D</result> | D | 50 | During a certain season, a team won 60 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played? | {
"A": "80",
"B": "70",
"C": "56",
"D": "50",
"E": "105"
} | add(100, divide(subtract(60, 70), subtract(divide(70, 100), divide(50, 100)))) | divide(n3,n1)|divide(n2,n1)|subtract(n0,n3)|subtract(#0,#1)|divide(#2,#3)|add(n1,#4)| | "we are first given that a team won 60 percent of its first 100 games . this means the team won 0.6 x 100 = 60 games out of its first 100 games . we are next given that the team won 50 percent of its remaining games . if we use variable t to represent the total number of games in the season , then we can say t – 100 equals the number of remaining games in the season . thus we can say : 0.5 ( t – 100 ) = number of wins for remaining games 0.5 t – 50 = number of wins for remaining games lastly , we are given that team won 70 percent of all games played in the season . that is , they won 0.7 t games in the entire season . with this we can set up the equation : number of first 100 games won + number of games won for remaining games = total number of games won in the entire season 60 + 0.5 t – 50 = 0.7 t 10 = 0.2 t 100 = 2 t 50 = t answer is d ." | gain |
math_qa__utN7H0GECXZYswmp | A certain bus driver is paid a regular rate of $18 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week?
Pick:
A) 36 B) 40 C) 44 D) 48 E) 52 | <gadget id="calculator">18 * 40</gadget>
<output>720</output>
<gadget id="calculator">976 - 720</gadget>
<output>256</output>
<gadget id="calculator">100 + 75</gadget>
<output>175</output>
<gadget id="calculator">18 * 175</gadget>
<output>3_150</output>
<gadget id="calculator">3_150 / 100</gadget>
<output>63/2 = around 31.5</output>
<gadget id="calculator">256 / (63/2)</gadget>
<output>512/63 = around 8.126984</output>
<gadget id="calculator">40 + (512/63)</gadget>
<output>3_032/63 = around 48.126984</output>
<result>D</result> | D | 48 | A certain bus driver is paid a regular rate of $18 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week? | {
"A": "36",
"B": "40",
"C": "44",
"D": "48",
"E": "52"
} | add(40, divide(subtract(976, multiply(18, 40)), divide(multiply(18, add(const_100, 75)), const_100))) | add(n3,const_100)|multiply(n0,n1)|multiply(n0,#0)|subtract(n4,#1)|divide(#2,const_100)|divide(#3,#4)|add(n1,#5)| | "for 40 hrs = 40 * 18 = 720 excess = 976 - 720 = 252 for extra hours = . 75 ( 18 ) = 13.5 + 18 = 31.5 number of extra hrs = 252 / 31.5 = 8 total hrs = 40 + 8 = 48 answer d 48" | general |
math_qa__0oIoOm0PbaL0s4jW | A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost? Choose the correct option
A) 13 B) 33 C) 50 D) 51 E) 52 | <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">50 * (1/3)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) * 3</gadget>
<output>50</output>
<result>C</result> | C | 50 | A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost? | {
"A": "13",
"B": "33",
"C": "50",
"D": "51",
"E": "52"
} | multiply(multiply(50, divide(1, add(1, 2))), add(1, 2)) | add(n0,n4)|divide(n0,#0)|multiply(n2,#1)|multiply(#0,#2)| | "the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . it means there is no effect of change in volume of water to the costing of the solution so a solution of 1 liter of spirit and 2 liters of water will cost 50 cents answer = 50 answer : c" | geometry |
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