id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
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 rat... | <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">... | A | calc |
aqua_rat__ja3yyuEOYlJOZ23h | A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type? Answers.
A) 1 in 16 B) 1 in... | 1/(2^2)=1in4 ANSWER:1 in 4
<result>B</result> | B | calc |
aqua_rat__1OI1vn0cORKEnHfh | At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 8. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 1 to 4. How many cooks does the restaurant have? Choose one:
A) 4 B) 6 C) 9 D) 12 E) 15 | Originally there were 3k cooks and 8k waiters. The new ratio is 1:4 which equals 3:12. 12k = 8k+12 k=3 There are 9 cooks. The answer is 9.
<result>C</result> | C | calc |
ape210k__00863375 | The current price of a refrigerator is 4,500 yuan, which is 500 yuan cheaper than before. How much is the price of this refrigerator reduced? | <gadget id="calculator">4_500 + 500</gadget>
<output>5_000</output>
<gadget id="calculator">500 / 5_000</gadget>
<output>1/10 = around 0.1</output>
<result>1/10 = around 0.1</result> | 1/10 | calc |
ape210k__00069442 | In a multiplication formula, the product is 25 times one factor and 16 times the other factor, what is the product. | <gadget id="calculator">25 * 16</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00692347 | The number of male employees in Xuri Electronics Factory and Shuguang Electronics Factory accounted for 75% and 80% of the total number of employees in the factory respectively. Xuri Electronics Factory has 920 employees, and Shuguang Electronics Factory has 880 employees. Which factory has more male employees? How man... | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">880 * (4/5)</gadget>
<output>704</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">920 * (3/4)</gadget>
<output>690</output>
<gadget id="calculator">704 - 6... | 14 | calc |
ape210k__01069543 | After the Spring Festival, a store's "Celebrity" brand down jacket is on sale at a discount of 40%. The current price is 216 yuan, how much less than the original price? | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">216 / (3/5)</gadget>
<output>360</output>
<gadget id="calculator">360 - 216</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
ape210k__00077129 | The number of A is (3/4) of the number of B, and the number of B is (5/8) of the number of C. It is known that the number of A is 60, and what is the number of C. | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">60 / (3/4) / (5/8)</gadget>
<output>128</output>
<result>128</result> | 128 | calc |
aqua_rat__KHwtVcMm5BROIzkF | If x and y are positive integers such that x/y = 6.8, which of the following numbers could be y? Pick one:
A) 1 B) 3 C) 2 D) 6 E) 10 | With the given information, we are trying to find the value of y. To achieve this we must convert the given decimal to a fraction and reduce it to it's lowest integer form. Take the decimal x/y = 6.8 and because it's in the tens decimal place, put the given value (x/y = 6.8/1) and multiply it by 10. Take the resu... | C | calc |
ape210k__00119680 | In the following equations, what is the equivalent of 13.16/28 | <gadget id="calculator">13.16 / 28</gadget>
<output>0.47</output>
<result>0.47</result> | 0.47 | calc |
ape210k__00095664 | A shopping mall sells a batch of color TV sets, which are priced at a profit of 25%. When 75% of this batch of color TV sets and 36 sets are sold, in addition to recovering all costs, they will also receive 20% of the estimated profit. How many sets of this batch of color TV sets are there? | <gadget id="calculator">0.05 - 0.9375</gadget>
<output>-0.8875</output>
<gadget id="calculator">1 + (-0.8875)</gadget>
<output>0.1125</output>
<gadget id="calculator">45 / 0.1125</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
aqua_rat__1fWcymoAUR77x2Am | An error 2.5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is Choose one:
A) 6.04% B) 5.14% C) 5.23% D) 5.0625% E) 5.5% | 100 cm is read as 102 cm. A1 = (100 x 100) cm2 and A2 (102.5 x 102.5) cm2. (A2 - A1) = [(102.5)2 - (100)2] = (102.5 + 100) x (102.5 - 100) = 506.25 cm2. Percentage error = 5.0625 5.0625%
<result>D</result> | D | calc |
ape210k__00828261 | There are two people, A and B, and B’s walking speed is 3/5 of A’s. A and B start from A and B respectively at the same time. If they walk towards each other, they will meet after 1 hour; OK, how long does it take for A to catch up with B? | <gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">8 * (1/2)</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00465980 | The price of cabbage is (4/5) yuan, which is (2/3) the price of eggplant, and the price of radish is (1/4) more than that of eggplant. How much is the price of radish? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(4/5) / (2/3)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id... | 3/2 | calc |
aqua_rat__5eHWUFMgKskpZUFi | Find the fourth proportion to 5,10,15
Choose one: A) 10 B) 20 C) 42 D) 36 E) 30 | 30xplanation: 5:10 :: 15:x => 5/10= 15/x => x = 15*10/5 => x = 30 Answer:30
<result>E</result> | E | calc |
aqua_rat__E8M1lwrVjnrDnVgS | Mixture A is 10 percent alcohol, and mixture B is 40 percent alcohol. If the two are poured together to create a 4-gallon mixture that contains 20 percent alcohol, approximately how many gallons of mixture A are in the mixture?
Choose the most appropriate option
A) 1.6 B) 1.7 C) 1.8 D) 1.9 E) 2.0 | (40-20)/(20-15) = Qa/Qb 20/10 = Qa/Qb 2/1 = Qa/Qb Qa = (2/5) * 4 = 8/5=
<gadget id="calculator">8/5</gadget>
<output>8/5 = around 1.6</output>
1.6 approx 1.6nswer : 1.6
<result>A</result> | A | calc |
ape210k__01171337 | At 9:30, what is the angle between the hour hand and the minute hand? | <gadget id="calculator">3.5 * 30</gadget>
<output>105</output>
<result>105</result> | 105 | calc |
ape210k__00117504 | For a trapezoid, the ratio of the upper base to the lower base is 4:9. If the lower base is reduced by 15 cm, it becomes a square. What is the area of the original trapezoid in square centimeters? | <gadget id="calculator">4 + 9</gadget>
<output>13</output>
<gadget id="calculator">9 - 4</gadget>
<output>5</output>
<gadget id="calculator">15 / 5</gadget>
<output>3</output>
<gadget id="calculator">13 * 3</gadget>
<output>39</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculat... | 234 | calc |
ape210k__00556935 | The circumference of a circle is 5.4 meters. Two ants start from both ends of a diameter and crawl towards each other along the circumference. The two ants crawl 5.5 cm and 3.5 cm per second respectively. They turn around and crawl every time they crawl for 1 second, 3 seconds, 5 seconds... (continuous odd number). How... | <gadget id="calculator">1 - 3</gadget>
<output>-2</output>
<gadget id="calculator">5 - 7</gadget>
<output>-2</output>
<gadget id="calculator">9 - 11</gadget>
<output>-2</output>
<gadget id="calculator">13 - 15</gadget>
<output>-2</output>
<gadget id="calculator">17 - 19</gadget>
<output>-2</output>
<gadget id="cal... | 960 | calc |
ape210k__00522076 | During the "June 1st" period, Xinhua Bookstore held a "buy four, get one free" activity. Mr. Liu paid 80 yuan for buying 20 of the same storybooks. What is the original price of each storybook? | <gadget id="calculator">20 / 5</gadget>
<output>4</output>
<gadget id="calculator">20 - 4</gadget>
<output>16</output>
<gadget id="calculator">80 / 16</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__SiQv06UQBaZQrTRK | A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of B square inches. Which of the following equations must be true? Choose the correct option
A) 2W^2 + PW + 2B = 0 B) 2W^2 − PW + 2B = 0 C) 2W^2 − PW − 2B = 0 D) W^2 + PW + B = 0 E) W^2 − PW ... | P = 2(L+W)-----------------1) B= LW------------------------2) option A is not possible why ?? because all the terms are positive. lets try option B , put value of P and B from 1 and 2 we have, 2W^2-2(L+W)W + 2(LW) 2W^2 - 2LW - 2W^2 + 2LW=0. hence answer is 2W^2 − PW + 2B = 0.
<result>B</result> | B | calc |
ape210k__00831609 | When a number is divided by 7, the quotient is 8 times the divisor and the remainder is 6. What is the number? | <gadget id="calculator">7 * 8 * 7</gadget>
<output>392</output>
<gadget id="calculator">392 + 6</gadget>
<output>398</output>
<result>398</result> | 398 | calc |
math_qa__FylexBzgQwoZM3pI | It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 160 pages?
Select the correct option:
A) 12
B) 18
C) 48
D) 20
E) 30 | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 + 4</gadget>
<output>12</output>
<gadget id="calculator">160 * 12</gadget>
<output>1_920</output>
<gadget id="calculator">1_920 / 40</gadget>
<output>48</output>
<result>C</result> | C | calc |
aqua_rat__Wy1fCAF7yCririKO | What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for three years, compounding done annually?
Choices.
A) 9688 B) 9687 C) 9685 D) 9682 E) 10648 | A= P{1 + R/100}n => 8000{1 + 10/100}3 = Rs.10648 Answer:10648
<result>E</result> | E | calc |
aqua_rat__ITxDfz82PYRiiWXm | A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water? Options
A) 7h B) 3h C) 4h D) 2h E) 9h | Explanation: Upstream speed = 3h-S Downstream speed = 3h+s 3h-S = 15/5=
<gadget id="calculator">15/5</gadget>
<output>3</output>
3 km/h Again 3h= 4S Therefore 3h-S = 3= 3S => S = 1 and 3h= 4 km/h Therefore 3h+S = 5km/h Therefore, Time during downstream = 15/5=
<gadget id="calculator">15/5</gadget>
... | B | calc |
ape210k__00941821 | There are two types of tickets for a cross talk show, one priced at 48 yuan and the other priced at 80 yuan. There are 180 tickets for 48 yuan and 120 tickets for 80 yuan. A total of 260 tickets were sold for this gala. What is the maximum possible box office revenue? | <gadget id="calculator">80 * 120</gadget>
<output>9_600</output>
<gadget id="calculator">260 - 120</gadget>
<output>140</output>
<gadget id="calculator">48 * 140</gadget>
<output>6_720</output>
<gadget id="calculator">9_600 + 6_720</gadget>
<output>16_320</output>
<result>16_320</result> | 16_320 | calc |
aqua_rat__8XFEVC6cJzZgdbH3 | What is the product of all the prime factors of 21?
Options.
A) 20 B) 21 C) 18 D) 17 E) 16 | factors : 1,3,7,21 3*7=
<gadget id="calculator">3*7</gadget>
<output>21</output>
21 Answer : 21
<result>B</result> | B | calc |
ape210k__01046779 | The taxi fare standard in a certain city is 6 yuan within 3 kilometers, and 1.5 yuan for every kilometer beyond 3 kilometers (if it is less than 1 kilometer, it will be calculated as 1 kilometer). Teacher Wan’s distance from home to school is 7.5 kilometers. How much should I pay by taxi? | <gadget id="calculator">5 * 1.5</gadget>
<output>7.5</output>
<gadget id="calculator">7.5 + 6</gadget>
<output>13.5</output>
<result>13.5</result> | 13.5 | calc |
ape210k__00090430 | (1/2) of a number is 5, what is this number? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">5 / (1/2)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00257293 | 641*6700417=How many. | <gadget id="calculator">641 * 6_700_417</gadget>
<output>4_294_967_297</output>
<result>4_294_967_297</result> | 4_294_967_297 | calc |
ape210k__00352675 | Xiao Wang has already walked the entire distance (2/3) from Li Village to the county seat, and will arrive at the county seat after walking another 2 kilometers. How many kilometers is it from Li Village to the county seat? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2 / (1/3)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00605650 | The radius of a circle is 5 cm, if the radius increases by 5 cm, how much does the area increase? | <gadget id="calculator">5 + 5</gadget>
<output>10</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">3.14 * 100</gadget>
<output>314</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3.14 * 25</gadget>
<output>78.5</output>
<gad... | 235.5 | calc |
aqua_rat__iZtPjXa5dLooRWwJ | If a is a positive integer, then a(a+1)(a+2) is Choose one.
A) even only when n is odd B) odd whenever n is odd C) divisible by 3 only when n is odd D) divisible by 4 whenever n is even E) even only when n is even | a*(a+1)*(a+2)= +ve even integer divisible by 4 ( e.g 6,7&8) divisible by 4 whenever n is even
<result>D</result> | D | calc |
ape210k__00478723 | The price of a mobile phone last year was 1,098 yuan. In January this year, the price was reduced by 150 yuan. In February, the price was increased by 298 yuan. How much is it worth to buy this mobile phone now? | <gadget id="calculator">1_098 - 150</gadget>
<output>948</output>
<gadget id="calculator">948 + 298</gadget>
<output>1_246</output>
<result>1_246</result> | 1_246 | calc |
ape210k__00033900 | Use 120 cubes of the same size to form a cuboid of a*b*c (a, b, and c are all positive integers, and a≤b≤c, a*b*c=120), then it can be assembled into How many cuboids of different shapes are there? | <result>16</result> | 16 | calc |
ape210k__00130943 | If the side length of a square is increased by 5 cm, what is the increase in the perimeter? | <gadget id="calculator">5 * 4</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__jlIJntHdsn3RP7C9 | A sum of Rs. 13500 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest? Select
A) 4%
B) 5%
C) 6%
D) 8%
E) 14% | S.I. = (15500 - 13500) = Rs. 2000/- Rate = (100 * 2000) / (12500 * 4)=
<gadget id="calculator">(100 * 2000) / (12500 * 4)</gadget>
<output>4</output>
4% 4%NSWER:4%
<result>A</result> | A | calc |
aqua_rat__uEG0GpC83U9M0Yfz | x2 + bx + 72 = 0 has two distinct integer roots; how many values are possible for 'b'? Choose the correct choice from the following answers: A) 3 B) 12 C) 6 D) 24 E) 8 | Explanatory Answer In any quadratic equation of the form ax2 + bx + c = 0, represents the value of the sum of the roots and c/a represents the value of the product of the roots. In the equation given in the question, the product of roots = 72/1=
<gadget id="calculator">72/1</gadget>
<output>72</output>
72. We ha... | B | calc |
ape210k__00721901 | Divide the sum of 480 and 160 by 160, then subtract 20, what is the difference? What is the column | <gadget id="calculator">480 + 160</gadget>
<output>640</output>
<gadget id="calculator">640 / 160</gadget>
<output>4</output>
<gadget id="calculator">4 - 20</gadget>
<output>-16</output>
<result>-16</result> | -16 | calc |
ape210k__00410101 | What is the area of 100 squares whose side length is 1 meter? | <gadget id="calculator">1 * 1 * 100</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00140351 | read (3/8) of this book on the first day, and (4/8) of this book on the second day. What percentage of this book did I read in total in the two days? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">4 / 8</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/8) + (1/2)</gadget>
<output>7/8 = around 0.875</output>
<result>7/8 = around 0.875</result> | 7/8 | calc |
math_qa__fnk0sVCxAmJa89J8 | sally , mark , sarah , steve and jim are inheriting the money from their grandmother . she left them $ 527500 to split equally between all of them . if the money is split equally , how much money will each person receive ? Choose the correct option.
A) $ 135875 B) $ 52700 C) $ 127900 D) $ 105500 E) $ 105000 | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">527_500 / 5</gadget>
<output>105_500</output>
<result>D</result> | D | calc |
gsm8k__zK0pmXc3Jv2ReNCR | Casey is pumping water out of her well. She can pump 3 gallons a minute. She has 4 rows of 15 corn plants each, and each plant needs half a gallon of water. She also has 10 pigs, which each need 4 gallons of water, and 20 ducks that each need a quarter of a gallon of water. How many minutes does Casey need to spend pum... | First find how many corn plants there are: 15 plants/row * 4 rows =
<gadget id="calculator">15*4</gadget>
<output>60</output>
60 plants.
Then find how many gallons of water of the corn needs: 60 plants * 1/2 gallon/plant =
<gadget id="calculator">60*1/2</gadget>
<output>30</output>
30 gallons.
Then find how many gall... | 25 | calc |
ape210k__00911667 | The distance between A and B is 360 kilometers. A car departs from A to B. After 2.5 hours, more than 20 kilometers from the midpoint. How many hours does the car journey take? | <gadget id="calculator">360 / 2</gadget>
<output>180</output>
<gadget id="calculator">180 + 20</gadget>
<output>200</output>
<gadget id="calculator">200 / 2.5</gadget>
<output>80</output>
<gadget id="calculator">360 / 80</gadget>
<output>9/2 = around 4.5</output>
<result>9/2 = around 4.5</result> | 9/2 | calc |
aqua_rat__EJ16U17V6DHJTqv6 | In the equation 2x – cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 3 ? Options
A) −9/2
B) -4
C) -3
D) 4
E) 9/2 | 2x - cy = 18 x=6, y=2; 12-2c=18 c=-3 2x-cy=18 when y=3, c=-3, x= x=9/2 ANSW9/2R:9/2
<result>E</result> | E | calc |
aqua_rat__KKCKrPYpGK6bfh1h | By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage? Choose the correct choice from the following options: A) 33 1/3% B) 33 7/3% C) 33 1/8% D) 32 1/3% E) 33 1/5% | Let the CP of each pen be Rs. 1. CP of 99 pens = Rs. 99 Profit = Cost of 33 pens = Rs. 33 Profit% = 33/99 * 100 = 33 1/3% 33 1/3%nswer: 33 1/3%
<result>A</result> | A | calc |
ape210k__00627639 | There is an orchard, (3/7) of the orchard area is peach trees, and (2/7) of the orchard area is plum trees, what percentage of the orchard area do these two kinds of fruit trees occupy? | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">(3/7) + (2/7)</gadget>
<output>5/7 = around 0.714286</output>
<result>5/7 = around 0.714286</result> | 5/7 | calc |
ape210k__00167585 | Xiao Ming rides a bicycle with an outer wheel diameter of 60 cm and passes through an alley with a length of 942 meters. If the bicycle wheel rotates 100 times per minute on average, how many minutes does it take to cross this alley? | <gadget id="calculator">3.14 * 0.6</gadget>
<output>1.884</output>
<gadget id="calculator">1.884 * 100</gadget>
<output>188.4</output>
<gadget id="calculator">942 / 188.4</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
math_qa__aPUPR6pdIfdFbTiR | The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 40 years, was replaced by a new person. Find the age of the new person?
Choose the correct choice.
A) 18
B) 56
C) 12
D) 17
E) 10 | <gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">40 - 30</gadget>
<output>10</output>
<result>E</result> | E | calc |
aqua_rat__728ynVWHLwbV8jPO | 6 private companies bought a share of 2 million dollars. If the all companies have to pay the same amount and none of them have bills smaller than $1, how much money would they have to pay?
Options: Select.
A) $2,000,000 B) $2,000,001 C) $2,000,004 D) $2,000,007 E) $2,000,009 | In order to divide the sum in 6 shares, the amount must be divisible by 6 Divisibility rule of 6: The sum of the digits must be divisible by 6 Sum of digits of 2,000,000 = 2 and 6 is divisible by 6. Hence, we need to add 4 to this number for it to be divisible by 6 $2,000,004orrect Option: c $2,000,004orrect ... | C | calc |
ape210k__00904785 | (8/9)-((2/9)+(4/7)). | <gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">(2/9) + (4/7)</gadget>
<output>50/63 = around 0.793651</out... | 2/21 | calc |
aqua_rat__DkBLRdbl3fGtekym | The average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is Choose the correct choice.
A) 22 B) 30 C) 99 D) 28 E) 17 | Explanation: Total age increased = (8 * 2)=
<gadget id="calculator">(8 * 2)</gadget>
<output>16</output>
16 years. Sum of ages of two new men= (21 + 23 + 16)=
<gadget id="calculator">(21 + 23 + 16)</gadget>
<output>60</output>
60 years Average age of two new men= (60/2)=
<gadget id="calculator">(60/2)</gadget>... | B | calc |
ape210k__00071884 | There are 37 people in a class going on a trip, 20 wear hats and 28 wear shorts. How many of them wear hats and shorts at most? | <gadget id="calculator">28 - 37</gadget>
<output>-9</output>
<gadget id="calculator">20 + (-9)</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
gsm8k__BdugSw691Wo5VEY6 | Mark made a chalkboard that is 3 feet wide. It is 2 times as long as it is wide. What is the area of the chalkboard? | The length of the chalkboard is 2 x the width of 3 feet =
<gadget id="calculator">2*3</gadget>
<output>6</output>
6 feet.
We can calculate area by multiplying the width and the length, so 3 feet x 6 feet =
<gadget id="calculator">3*6</gadget>
<output>18</output>
18 feet.
<result>18</result> | 18 | calc |
aqua_rat__sHfZBuA0DklUeXLs | S is a set containing 7 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true? Answers.
A) The median of S is prime. B) The median of T is prime C) The median of S is equal to the median of T. D) The sum of the terms in ... | Here is my explanation. The question states:S is a set containing 9 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true? (A) The median of S is prime. Thismust be true. If there are an odd number of members of a se... | A | calc |
ape210k__00283663 | Xiaoming's father's monthly salary is 1,840 yuan. According to the relevant regulations on personal income tax, the part exceeding 1,200 yuan has to pay personal income tax, so how much income tax should Xiaoming's father pay for his monthly salary. | <gadget id="calculator">1_840 - 1_200</gadget>
<output>640</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">640 * (1/20)</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00466942 | There are 47 students in Class 1, Grade 6, and all of them came to school today. What is the attendance rate of Class 1, Grade 6 today? | <gadget id="calculator">47 / 47</gadget>
<output>1</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">1 * 1</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00260527 | Xiao Ming participated in four Chinese tests, with an average score of 68. He wants to raise his five-time average score to over 70 after the next Chinese test, so how many points should he score at least in the next test? | <gadget id="calculator">70 * 5</gadget>
<output>350</output>
<gadget id="calculator">68 * 4</gadget>
<output>272</output>
<gadget id="calculator">350 - 272</gadget>
<output>78</output>
<result>78</result> | 78 | calc |
aqua_rat__q8fwzPI8ARrGBcBl | A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 120 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed? Choices:
A) 50
B) 100
C) 150
D) 200
E)... | It is simply a weighted average question. Since the given average of 50% and 60% is 55% (right in the middle), it means the number of people surveyed in Eros (n) is same as the number of people surveyed in Angie. So n = 120 Total = 120 + 120=
<gadget id="calculator">120 + 120</gadget>
<output>240</output>
240 An... | E | calc |
ape210k__00178157 | There are several fountain pens and ballpoint pens, the total number is between 101-109. It is known that the number of fountain pens is 4 times the number of ballpoint pens. Then, how many pens are there? | <gadget id="calculator">105 / 5</gadget>
<output>21</output>
<gadget id="calculator">21 * 4</gadget>
<output>84</output>
<result>84</result> | 84 | calc |
aqua_rat__Qy57EOYwVUoxdZ2f | A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is? Choose the correct choice from the following.
A) 1 kmph
B) 7 kmph
C) 4 kmph
D) 9 kmph
E) 2 kmph | DS = 6 US = 4 S = ? S = (6 - 4)/2=
<gadget id="calculator">(6 - 4)/2</gadget>
<output>1</output>
1 kmph 1 kmphnswer:1 kmph
<result>A</result> | A | calc |
ape210k__00067384 | There are 40 male workers in a workshop, 1/4 more than female workers. How many workers are there in this workshop? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">40 / (5/4)</gadget>
<output>32</output>
<gadget id="calculator">32 + 40</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
ape210k__00156330 | There are 10 black and white chess pieces in the box. Take out 2 pieces from it each time, if it is the same color, put a black piece in the box; if it is a different color, put a white piece in the box. After 19 times, what color is the remaining chess piece? | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">10 + 5</gadget>
<output>15</output>
<gadget id="calculator">15 - 1</gadget>
<output>14</output>
<gadget id="calculator">14 / 1</gadget>
<output>14</output>
<gadget id="calculator">14 + 5</gadget>
<output>19</output>
<result>19</resu... | 19 | calc |
ape210k__00269297 | To pave a classroom, if you use square bricks with a side length of 3dm, a total of 800 pieces are needed. If you use square bricks with a side length of 4dm, how many pieces are needed? (Solve with ratio) | <gadget id="calculator">3 * 3 * 800</gadget>
<output>7_200</output>
<gadget id="calculator">4 * 4</gadget>
<output>16</output>
<gadget id="calculator">7_200 / 16</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
aqua_rat__Fep4L8CCZWn5hpHe | The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
Options:
A) 400
B) 277
C) 268
D) 191
E) 123 | T.D. = B.D. x 100 100 + (R x T) = Rs. 420 x 100 100 + 15 x 1 3 = Rs. 420 x 100 105 = Rs. 400. 400nswer: 400
<result>A</result> | A | calc |
ape210k__01075513 | Naughty did a total of 225 math problems in 5 days, among which 46 were done on average every day for 4 days. How many crossing calculations did you do in another day? | <gadget id="calculator">46 * 4</gadget>
<output>184</output>
<gadget id="calculator">225 - 184</gadget>
<output>41</output>
<result>41</result> | 41 | calc |
ape210k__00865835 | If a cylinder with a base diameter of 3 cm is unfolded to form a square, what is the height of the cylinder in cm? | <gadget id="calculator">3.14 * 3</gadget>
<output>9.42</output>
<result>9.42</result> | 9.42 | calc |
gsm8k__bjvOHOGMnqX1NIjt | There are twice as many surfers on Malibu beach as in Santa Monica beach. If there are 20 surfers in Santa Monica, calculate the total number of surfers on the two beaches. | If there are 20 surfers at Santa Monica, Malibu beach has twice as many surfers as Santa Monica has 2*20 = 40 surfers.
Together, the two beaches have a total of 40+20 =
<gadget id="calculator">40+20</gadget>
<output>60</output>
60 surfers.
<result>60</result> | 60 | calc |
ape210k__00193026 | There are 54 cards in a deck of poker (including King and King), and at least how many cards are drawn from it to ensure that there must be 3 suits. | <gadget id="calculator">2 * 13</gadget>
<output>26</output>
<gadget id="calculator">26 + 2 + 1</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
aqua_rat__Ira3u3uIonxFN7FC | Rs.1210 were divided among 3 person P, Q, R so that P:Q=5:4 and Q: R=9:10. Then R gets the amount. Choose the correct choice from the following options
A) Rs. 300 B) Rs. 400 C) Rs. 480 D) Rs. 490 E) Rs. 500 | P : Q = 5 : 4, Q : R = 9 : 10 = ( 9 x 4 / 9 ) : ( 10 x 4 / 9 ) = 4 : 40 / 9. So, P : Q : R = 5 : 4 : 40 /9 = 45 : 36 : 40 Sum of ratio terms is = ( 45 + 36 + 40 )=
<gadget id="calculator">( 45 + 36 + 40 )</gadget>
<output>121</output>
121. R share of amount is Rs (1210 x 40 / 121)= Rs. 400. Rs. 400
<result>B</... | B | calc |
ape210k__00852837 | How many degrees does the hour hand turn from 12 o'clock to 5 o'clock? | <gadget id="calculator">30 * 5</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
aqua_rat__waONfzVT80DGkEiY | Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank? Select:
A) 12 min B) 15 min C) 25 min D) 50 min E) 20 min | Part filled by A in 1 min. = 1/20 Part filled by B in 1 min. = 1/30 part filled by (A + B) in 1 min. = 1/20 + 1/30 = 1/12. Both the pipes can fill the tank in 12 minutes. 12 minNSWER:12 min
<result>A</result> | A | calc |
ape210k__01135639 | Mr. Wang has 500 yuan, and bought 5 footballs, 20 yuan each, and bought 8 basketballs with the remaining money. How much is each basketball? | <gadget id="calculator">20 * 5</gadget>
<output>100</output>
<gadget id="calculator">500 - 100</gadget>
<output>400</output>
<gadget id="calculator">400 / 8</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00370849 | A parallelogram orchard has a base length of 150 meters and a height of 40 meters. If each fruit tree occupies an average area of 6 square meters, how many fruit trees can be planted in this orchard? | <gadget id="calculator">150 * 40</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 / 6</gadget>
<output>1_000</output>
<result>1_000</result> | 1_000 | calc |
ape210k__00714255 | If the perimeter of a square is 64 decimeters, what is the area of the square? | <gadget id="calculator">64 / 4</gadget>
<output>16</output>
<gadget id="calculator">16 * 16</gadget>
<output>256</output>
<result>256</result> | 256 | calc |
ape210k__00346333 | (1/5) of the number A is 8, and (1/5) of the number B is 8. What fraction of the number B is the number A? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">8 / (1/5)</gadget>
<output>40</output>
<gadget id="calculator">(1/5) / 40</gadget>
<output>1/200 = around 0.005</output>
<gadget id="calculator">8 * (1/200)</gadget>
<output>1/25 = around 0.04</output>
<result>1/25 = ar... | 1/25 | calc |
ape210k__00583031 | Make a wooden packing box for two small cubes with a side length of 5cm. The packing box needs at least how many square meters of wood. | <gadget id="calculator">5 + 5</gadget>
<output>10</output>
<gadget id="calculator">10 * 5 * 4</gadget>
<output>200</output>
<gadget id="calculator">5 * 5 * 2</gadget>
<output>50</output>
<gadget id="calculator">200 + 50</gadget>
<output>250</output>
<gadget id="calculator">250 / 10_000</gadget>
<output>1/40 = aroun... | 1/40 | calc |
aqua_rat__20mxFmB9ohc093hl | A certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph? Choose the correct choice from the following answers.
A) 33% B) 20% ... | Total time for travelling 80 miles @ 60 mph = 80/60 = 4/3 hour = 80 minutes. Given, the car uses 1 gallon for every 20 minutes of driving @ 60 mph. Thus in 80 minutes it will use = 4 gallons. Thus, full tank = 4+8=
<gadget id="calculator">4+8</gadget>
<output>12</output>
12 gallons ---> 4/12= 33% of the fuel used... | A | calc |
aqua_rat__nSGkiiOOPXRp7DcD | If the price of an article went up by 25%, then by what percent should it be brought down to bring it back to its original price? Choose the correct choice from the following options:
A) 20% B) 16 4/3% C) 16 7/3% D) 16 6/3% E) 16 2/3% | Let the price of the article be Rs. 100. 25% of 100 = 25. New price = 100 + 25 = Rs. 125 Required percentage = (125 - 100)/125 * 100 = 25/125 * 100=
<gadget id="calculator">25/125 * 100</gadget>
<output>20</output>
20% 20%nswer:20%
<result>A</result> | A | calc |
ape210k__00954643 | It is known that a car travels 120 kilometers in 2 hours, so what is the calculation formula 120/2*5? | <result>5</result> | 5 | calc |
aqua_rat__E9vca1l43pOORlnB | Look at this series: 70, 71, 76, 70, 81, __, 70, 91, ... What number should fill the blank? Answers.
A) 70 B) 86 C) 82 D) 77 E) 52 | 86 86 In this series, 5 is added to the previous number; the number 70 is inserted as every third number.
<result>B</result> | B | calc |
ape210k__00218418 | Roll a piece of rectangular paper with a length of 12.56 cm and a width of 10 cm into a cylinder. What is the area of the base of the cylinder? | <gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">12.56 / 6.28</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4</gadget>
<output>12.56</output>
<result>12.56</result> | 12.56 | calc |
ape210k__00195776 | A vertex angle of an isosceles triangle is (1/2) of its base angle, then how many degrees is its base angle. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + 1 + (1/2)</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">180 / (5/2)</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
ape210k__00620878 | The lengths of two adjacent sides of a parallelogram are 14 cm and 17 cm respectively, what is the perimeter of this parallelogram in cm? | <gadget id="calculator">14 + 17</gadget>
<output>31</output>
<gadget id="calculator">31 * 2</gadget>
<output>62</output>
<result>62</result> | 62 | calc |
ape210k__00577793 | Calculation: 9997*2008+3*2008. | <gadget id="calculator">9_997 * 2_008</gadget>
<output>20_073_976</output>
<gadget id="calculator">3 * 2_008</gadget>
<output>6_024</output>
<gadget id="calculator">20_073_976 + 6_024</gadget>
<output>20_080_000</output>
<result>20_080_000</result> | 20_080_000 | calc |
ape210k__00498149 | For a class reunion, the number of absentees in the morning is 1/7 of the number of attendees, and in the afternoon, one person is unable to attend because of something else, so the number of absentees is 1/6 of the number of attendees. How many people should attend this class reunion? (column equation solution) | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) + 1</gadget>
<output>7/6 = around 1.166667</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(1/6) - (1/7)</gadget>
<output>1/42 = around 0.02381</o... | 56 | calc |
ape210k__01055175 | Xiao Ming decided to help his father prune the fruit trees for 6 days, and his father said: "I will pay you, I have prepared two plans: 1, I will give you 10 yuan a day; 2, I will give you 1 yuan on the first day, and I will give you money on the second day 2 yuan, and 4 yuan will be given to you on the third day, that... | <result>2</result> | 2 | calc |
math_qa__fd88BGwNLjPCTshH | A sum fetched a total simple interest of Rs. 750 at the rate of 6 p.c.p.a. in 5 years. What is the sum?
Choose one:
A) 2600
B) 2500
C) 2900
D) 2800
E) 2700 | <gadget id="calculator">750 * 100</gadget>
<output>75_000</output>
<gadget id="calculator">75_000 / 6</gadget>
<output>12_500</output>
<gadget id="calculator">12_500 / 5</gadget>
<output>2_500</output>
<result>B</result> | B | calc |
aqua_rat__YZP8zndFGjUYtNho | Find the principle on a certain sum of money at 7% per annum for 2 2/5 years if the amount being Rs.1120? Pick
A) 939.6 B) 958.9 C) 927.78 D) 926.82 E) 902.1 | 1120 = P [1 + (7*12/5)/100] P= 958.90 Answer: 958.9
<result>B</result> | B | calc |
ape210k__00383719 | There are 15 rows of seats in the central school conference room, and each row can seat 22 people. How many people can this conference room accommodate? | <gadget id="calculator">15 * 22</gadget>
<output>330</output>
<result>330</result> | 330 | calc |
aqua_rat__xb7ee00n3bAmzMpK | Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit? Choose the correct choice from the following options:
A) 10508 B) 10567 C) 10528 D) 10512 E) 10500 | Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4 Simran's share = 24500 * 3/7 = Rs. 10500 Answer:10500
<result>E</result> | E | calc |
aqua_rat__6UOaB3nuLHsGBSp8 | A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is? Choose the correct option:
A) 100 B) 220 C) 120 D) 130 E) 240 | Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec. Length of the train = 20 * 12=
<gadget id="calculator">20 * 12</gadget>
<output>240</output>
240 m. Answer: Option 240
<result>E</result> | E | calc |
aqua_rat__uBucdLe3viGyCIen | The average age of the mother and her six children is 8 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother? Pick:
A) 38 B) 41 C) 42 D) 43 E) 44 | Total age of mother and 6 children = avg x n = 8 x (6+1)= 56 If mother is excluded new average is (8 - 5)=
<gadget id="calculator"> (8 - 5)</gadget>
<output>3</output>
3 so for 6 children= 6 x 3 =18 so mother's age is 56 - 18=
<gadget id="calculator"> 56 - 18</gadget>
<output>38</output>
38 38nswer: Option ... | A | calc |
ape210k__00625131 | Students in Class 1, Grade 6 held a speech contest. When a boy gave a speech on the stage, the ratio of the number of boys and girls sitting below was 5:3. When a girl gave a speech (boys returned to their seats), due to special needs , need another girl to come to the stage to do auxiliary work, at this time the ratio... | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">2 - (5/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">5 / (1/3)</gadge... | 15 | calc |
ape210k__01204285 | The second longest river in the world is the Amazon River in South America, with a total length of 6,500 kilometers. The Yangtze River in my country is the third longest river in the world. The total length is only 3% shorter than the Amazon River. How many kilometers is the Yangtze River? | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">1 - (3/100)</gadget>
<output>97/100 = around 0.97</output>
<gadget id="calculator">6_500 * (97/100)</gadget>
<output>6_305</output>
<result>6_305</result> | 6_305 | calc |
aqua_rat__wPPlOUUkgCLhFii2 | Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 60 kmph respectively. In what time will they cross each other completely? Answers:
A) 15 sec
B) 19 sec
C) 12 sec
D) 12.9 sec
E) 11 sec | Explanation: 12.9 sec = 250 m + 250 m = 500 m RS = 80 + 60=
<gadget id="calculator">80 + 60</gadget>
<output>140</output>
140 * 5/18= 350/9 T = 500 * 9/350 = 12.9 sec Answer: Option 12.9 sec
<result>D</result> | D | calc |
aqua_rat__OGOTJpYKqL9HUj7z | The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers? Pick one:
A) 4 B) 7 C) 5 D) 9 E) 3 | A + B + 5 = 48 B + 5 + D = 45 A + D = 13 A – D = 3 A + D = 13 2D = 10 D = 5 Answer:5
<result>C</result> | C | calc |
aqua_rat__evxLkLKCzTXkzC78 | A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choose the correct choice from the following answers
A) 7 mins B) 3 mins C) 8 mins D) 9 mins E) 6 mins | D = 25 * 60 + 1500=
<gadget id="calculator">25 * 60 + 1500</gadget>
<output>3_000</output>
3000 m T= 3000/60 * 18/5=
<gadget id="calculator">3000/60 * 18/5</gadget>
<output>180</output>
180 sec= 3 mins Answer:3 mins
<result>B</result> | B | calc |
ape210k__00766327 | The toy factory can make 5 dolls with 2.6 meters of cloth. After improving the process, each doll can save 0.02 meters of cloth. How many meters of cloth does each doll need now? | <gadget id="calculator">2.6 / 5</gadget>
<output>0.52</output>
<gadget id="calculator">0.52 - 0.02</gadget>
<output>0.5</output>
<result>0.5</result> | 0.5 | calc |
gsm8k__65HgsIzvS8Iz87tb | During a soccer game, in the first half, Team A scored 8 points, and Team B scored only half as many points. In the second half, Team B was able to get as many points as Team A in the first half, and Team A scored only 2 goals less than Team B. How many goals did both teams score during the whole match? | During the first half Team, B scored only 8 * 0.5 =
<gadget id="calculator">8*0.5</gadget>
<output>4</output>
4 points.
In the second half Team A scored 2 goals less than Team B, so they scored 8 - 2 =
<gadget id="calculator">8-2</gadget>
<output>6</output>
6 points.
So in total both teams scored 8 + 4 + 6 + 8 =
<ga... | 26 | calc |
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