id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00329961 | Two trains, A and B, depart from two places 1085 kilometers apart. After 3.5 hours, the two trains meet. Car A travels 118 kilometers per hour, how many kilometers per hour does Car B travel? | <gadget id="calculator">1_085 / 3.5</gadget>
<output>310</output>
<gadget id="calculator">310 - 118</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
math_qa__Wxtjle2IfLlWTcw3 | At the end of the month, a certain ocean desalination plantβs reservoir contained 14 million gallons of water. This amount is twice the normal level. If this amount represents 70% of the reservoirβs total capacity, how many million gallons short of total capacity is the normal level? Select:
A) 2 B) 5 C) 10 D) 12 E) 15 | <gadget id="calculator">14 / 2</gadget>
<output>7</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">7 / (7/10)</gadget>
<output>10</output>
<result>C</result> | C | calc |
aqua_rat__fVBf4nBlwRusarf1 | The ratio, by weight, of coffee to sugar to water in a pot of coffee is 3:1:15. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is doubled. If the altered pot of coffee contains 12 grams of sugar, how many grams of water does it contain after alteration? Choo... | The new ratio of coffee to sugar is 1.5:1 The new ratio of coffee to water is 6:15. The new ratio of coffee to sugar to water is 6:4:15. If there are 12 grams of sugar, then there are (15/4)*12=
<gadget id="calculator"> (15/4)*12</gadget>
<output>45</output>
45 grams of water. The answer is 45.
<result>C</res... | C | calc |
ape210k__00036501 | 5*125*5*32οΌ | <gadget id="calculator">5 * 125 * 5 * 32</gadget>
<output>100_000</output>
<result>100_000</result> | 100_000 | calc |
ape210k__00517764 | There are 4 phalanxes on the school playground, and each phalanx has 108 people. How many students are there in total? | <gadget id="calculator">108 * 4</gadget>
<output>432</output>
<result>432</result> | 432 | calc |
ape210k__00257142 | How much is 2,5,11,23,47. | <gadget id="calculator">24 * 2</gadget>
<output>48</output>
<gadget id="calculator">47 + 48</gadget>
<output>95</output>
<result>95</result> | 95 | calc |
ape210k__00299068 | A customer went to a store to buy shoes. He only knew that the old size of the shoes he was wearing was size 43, but he did not know the new size of the shoes he was wearing. He only knew that adding a number to the old size and dividing it by 2 was the new shoe size. οΌ But he remembers that his son's old shoe size is ... | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 40</gadget>
<output>20</output>
<gadget id="calculator">25 - 20</gadget>
<output>5</output>
<gadget id="calculator">5 / (1/2)</gadget>
<output>10</output>
<gadget id="calculator">43 + 10</gadget>
<output>53</out... | 53/2 | calc |
ape210k__00223151 | Using the four numbers 0, 1, 9, and 8, how many four-digit numbers can be formed without repetition. | <gadget id="calculator">3 * 3 * 2 * 1</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00281978 | Five identical small squares are put together to form a rectangle, and the perimeter is reduced by 24 cm. What is the area of each small square in square centimeters? | <gadget id="calculator">24 / 8</gadget>
<output>3</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00383748 | To build a road, on the first day, 20% of the total length was repaired and 5 meters were added, on the second day, 35% of the total length was repaired, and 3 meters was missing, and on the third day, 25 meters were repaired. How long is this road in meters? | <gadget id="calculator">2 + 25</gadget>
<output>27</output>
<gadget id="calculator">1 - 0.55</gadget>
<output>0.45</output>
<gadget id="calculator">27 / 0.45</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__BI6qqIHhEbSzDfEu | An artist who needs to buy only paint and canvas finds that the cost of canvas has decreased by 40 percent and the cost of paint has decreased by 60 percent. If paint previously accounted for 4 times as much of the expense of painting as did canvas, by what percent did the total cost for paint and canvas decrease?
Sele... | Paint:Canvas cost is 4:1. So, paint accounts for 80% of cost and canvas accounts for 20%. Canvas, after decrease by 40% will be (100-40)% of 20% => 60% of 20% => 12% of original Paint, after decrease by 60% will be (100-60)% of 80% => 40% of 80% => 32% of original New cost as a % of old cost = 32+12... | D | calc |
gsm8k__AH1UKZbKq6pB30hh | Phyllis has two gardens. In the first garden, she has 20 plants and 10% are tomato plants. In the second garden, she has 15 plants and 1/3 of these plants are tomato plants. What percentage of all the plants in her two gardens are tomato plants? | The first garden has 2 tomato plants because 20 x .1 =
<gadget id="calculator">20*.1</gadget>
<output>2</output>
2.
The second garden has 5 tomato plants because 15 x (1/3) =
<gadget id="calculator">15*(1/3)</gadget>
<output>5</output>
5.
She has 7 tomato plants in total because 2 + 5 =
<gadget id="calculator">2+5</... | 20 | calc |
ape210k__01113181 | A barrel of oil was eaten (1/4) on the first day, and (1/5) was eaten the second time. The first time was 2 kg more than the second time. Ask: How much does this barrel of oil weigh? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/4) - (1/5)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">2 / (1/20)</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00620000 | Lingling surrounded 3 identical triangles and a square with 1-meter-long colored bars. It is known that the perimeter of the enclosed square is 8 cm longer than the perimeter of a triangle. What is the perimeter of each triangle in centimeters? | <gadget id="calculator">100 - 8</gadget>
<output>92</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">92 / 4</gadget>
<output>23</output>
<result>23</result> | 23 | calc |
ape210k__00975739 | There are 10 refrigerators in the store, each priced at 2,400 yuan, and a profit of 20% is obtained for each gram sold. After these refrigerators are sold out, how much is the profit? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">2_400 / (6/5)</gadget>
<output>2_000</output>
<gadget id="calculator">2_400 - 2_000</gadget>
<output>400</output>
<gadget id="calculator">4... | 4_000 | calc |
aqua_rat__U42wK62H2I8aqkwU | P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively? Answers:
A) 17:6
B) 17:3
C) 17:1
D) 17:9
E) 17:4 | P:Q = 85000 : 15000 = 17:3. Answer:17:3
<result>B</result> | B | calc |
ape210k__00514906 | The page numbers of the first and second books share 681 numbers, and the second book has 3 pages more than the first book, so how many pages are there in the first book? | <gadget id="calculator">2 * 90</gadget>
<output>180</output>
<gadget id="calculator">681 - 9 - 180</gadget>
<output>492</output>
<gadget id="calculator">492 / 3</gadget>
<output>164</output>
<gadget id="calculator">100 - 1</gadget>
<output>99</output>
<gadget id="calculator">164 + 99</gadget>
<output>263</output>
... | 130 | calc |
aqua_rat__WaWFtuetIDMKtyIu | The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
Pick
A) 57 kgs
B) 58 kgs
C) 58.85 kgs
D) 60 kgs
E) 61 kgs | Actual total weight is (20X 58.4 - 56 + 65) = 1177 Kgs Actual average weight is 1177/20=
<gadget id="calculator"> 1177/20</gadget>
<output>1_177/20 = around 58.85</output>
58.85 kgs 58.85 kgs)
<result>C</result> | C | calc |
aqua_rat__RAtqBGtHvrU8uwYL | P, Q and R can do a work in 10 , 12 and 15 days respectively. What is the share ratio of P, Q and R respectively?
Answers
A) 6 : 5 : 7 B) 6 : 5 : 4 C) 6 : 5 : 3 D) 6 : 4 : 5 E) 4 : 5 : 6 | The ratio of their working rates = 1/10 : 1/12 : 1/15 = 6 : 5 : 4. Answer: 6 : 5 : 4
<result>B</result> | B | calc |
ape210k__00452436 | A cylindrical log with a length of 2 meters is cut into two pieces, and the surface area increases by 0.048 square meters. What is the original volume of the log in cubic meters? | <gadget id="calculator">0.048 / 2</gadget>
<output>0.024</output>
<gadget id="calculator">0.024 * 2</gadget>
<output>0.048</output>
<result>0.048</result> | 0.048 | calc |
ape210k__00356306 | The store sells 20 boxes of fruit in the morning, and more fruit is sold in the afternoon than in the morning (2/5). How many boxes of fruit were sold in total on this day? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 + (2/5)</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">20 * (7/5)</gadget>
<output>28</output>
<gadget id="calculator">20 + 28</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00426621 | Which of the following formulas is equal to the quotient of 14.8/0.74 | <gadget id="calculator">14.8 / 0.74</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__SwuvdxynSVXhJ8qU | The ratio of the incomes of Lakshmi and Latha is 5:4 and the ratio of their expenditure is 4:3. If at the end of the year, each saves $6000 then the income of Lakshmi is?
Choose the most appropriate option
A) $26000 B) $20000 C) $23000 D) $25000 E) $22000 | Let the income of Lakshmi and Latha be $5x and $4x Let their expenditures be $4y and $3y 5x-4y = 6000-------1) 4x-3y = 6000-------2) From 1) and 2) x = 6000 Lakshmi's income = 5x = 5*5000=
<gadget id="calculator">5*5000</gadget>
<output>25_000</output>
$25000 Answer is $25000
<result>D</result> | D | calc |
aqua_rat__qAdkwmqCuWIzd3Nm | The length of the bridge, which a train 170 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Pick one:
A) 205 B) 210 C) 215 D) 250 E) 260 | Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (170 + x)/30 = 25/2 => 2(170 + x) = 750 => x = 205 m. 205nswer: Option 205
<result>A</result> | A | calc |
aqua_rat__hTqkl0bbJtaFAHck | Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king? Choose the most appropriate option.
A) 1/11 B) 2/13 C) 4/13 D) 3/17 E) 3/19 | Here, n(S) = 52 There are 13 cards of diamond (including one king) and there are 3 more kings. Let E = event of getting a diamond or a king. Then, n(E) = (13 + 3)=
<gadget id="calculator">(13 + 3)</gadget>
<output>16</output>
16 P (E)= 16 / 52 = 4/13 4/13
<result>C</result> | C | calc |
aqua_rat__86hJDb17Dq9OwryD | Which is the odd number out?
9421, 7532, 9854, 8612, 6531, 8541 Answers:
A) 8612 B) 8626 C) 2579 D) 6642 E) 7493 | C 8612. 8612ll the other numbers have their digits in descending order.
<result>A</result> | A | calc |
ape210k__00027580 | In a flower bed, put 3 pots of chrysanthemums between every two pots of orchids, how many pots of chrysanthemums are there in total between the fifth pot of orchids and the tenth pot of orchids? | <gadget id="calculator">10 - 5</gadget>
<output>5</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00423019 | The area of the rectangle is 5600 square meters, the width is 7 meters, and the length is in meters. | <gadget id="calculator">5_600 / 7</gadget>
<output>800</output>
<result>800</result> | 800 | calc |
ape210k__00261334 | Two cars depart from A and B respectively at the same time. After driving for 4 hours, the two cars have crossed and the distance is 75 kilometers. , How many kilometers are the distance between the two places B? | <gadget id="calculator">7 / 24</gadget>
<output>7/24 = around 0.291667</output>
<gadget id="calculator">(7/24) * 4</gadget>
<output>7/6 = around 1.166667</output>
<gadget id="calculator">(7/6) - 1</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">75 / (1/6)</gadget>
<output>450</output>
<resul... | 450 | calc |
math_qa__DZlImicPZvP0RwVV | A can do a work in 15 days and B in 20 days. If they work on it together then in how many days required to complete the work? Choose the correct option
A) 300 / 31 B) 300 / 35 C) 300 / 21 D) 300 / 15 E) 300 / 20 | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/15) + (1/20)</gadget>
<output>7/60 = around 0.116667</output>
<gadget id="calculator">1 / (7/60)</gadget>
<output>60/7 = around 8.5714... | B | calc |
ape210k__01094213 | A car drives from place A to place B. It travels at a speed of 87 km/h for 4 hours and only takes 3 hours to return. What is the speed of the car when it returns? | <gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">87 * (4/3)</gadget>
<output>116</output>
<result>116</result> | 116 | calc |
aqua_rat__qicggrIWHjiohHAH | Two boys starts from the same place walking at the rate of 5.5 kmph and 7.5 kmph respectively in the same direction. What time will they take to be 32 km apart?
Choose the most appropriate option.
A) 18 B) 16 C) 19 D) 15 E) 34 | Explanation: Relative speed = 7.5 - 5.5=
<gadget id="calculator">7.5 - 5.5</gadget>
<output>2</output>
2 kmph (because they walk in the same direction) distance= 32 km time = distance / speed=32/2=
<gadget id="calculator">32/2</gadget>
<output>16</output>
16 hr Answer :16
<result>B</result> | B | calc |
ape210k__00397607 | How many street lamps are needed to lay street lamps every 50 meters on a 650-meter-long road? | <gadget id="calculator">650 / 50</gadget>
<output>13</output>
<gadget id="calculator">13 + 1</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00601131 | Mother bought 6 kilograms of apples, which were pears (3/5), and the peaches that mother bought were pears (1/2), how many kilograms of peaches did mother buy? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">6 / (3/5)</gadget>
<output>10</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">10 * (1/2)</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00625836 | If (1/2)β€aβ€3, 6β€bβ€63, what is the maximum value of ((b)/(a)). | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">63 / (1/2)</gadget>
<output>126</output>
<result>126</result> | 126 | calc |
ape210k__00721643 | What is the ratio of 20 kilograms: 0.2 tons | <gadget id="calculator">0.2 * 1_000</gadget>
<output>200</output>
<gadget id="calculator">20 / 200</gadget>
<output>1/10 = around 0.1</output>
<result>1/10 = around 0.1</result> | 1/10 | calc |
math_qa__IqZ7YPAqWNuqiKyg | Starting from his house one day, a student walk at a speed of 2 kmph and reaches his school 10 minutes late. Next he increased his speed by 1 kmph and reaches the school 10 minutes early. How far is the school from his house? Choose the correct answer.
A) 1 km B) 2 km C) 3 km D) 4 km E) 5 km | <gadget id="calculator">10 + 10</gadget>
<output>20</output>
<gadget id="calculator">20 / 60</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 2</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">(2/3) * 3</... | B | calc |
aqua_rat__IHULBmUKtRKPSBQZ | Three boys are ages 4, 6 and 7 respectively. Three girls are ages 5, 8 and 9, respectively. If two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is w, what is the difference between the probability that w is even and the probability that w is odd? Choose the correct ... | 1/9ge of Boys w:4, 6, 7 Sum of ages taken 2 at a time: 10,13,11 1/9ges of Girls:5, 8, 9 Sum of ages taken 2 at a time: 13,17,14 9 Combinations of sum between sets(10,12,11)(13,17,14) =23,27,24- 16,30,17- 24,28,25 Prob(Even)= 5/9 Prob(Odd) =4/9 1/9nswer=5/9 - 4/9 = 1/9
<result>A</result> | A | calc |
ape210k__01175141 | Any angle less than 210Β° is a straight angle. | <gadget id="calculator">210 - 180</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00426074 | In a workshop of a certain factory, the number of male workers is 9 less than half of the number of female workers, and the number of female workers is 3 times more than the number of male workers. How many workers are there in total in this workshop? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3 * (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">9 - (3/2)</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">(3/2) - 1</gadget>
<output>1/2 = around 0.5</output>
<gadget id=... | 63 | calc |
ape210k__01032121 | Find the volume of the cylinder: the perimeter of the base is 50.24cm, and the height is 7cm. | <gadget id="calculator">50.24 / 3.14 / 2</gadget>
<output>8</output>
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">3.14 * 64 * 7</gadget>
<output>1_406.72</output>
<result>1_406.72</result> | 1_406.72 | calc |
math_qa__5Nl63ujgsvEAYTVb | A can knit a pair of socks in 3 days. B can knit the same thing in 6 days. If they are knitting together, in how many days will they knit two pairs of socks? Select: A) 4 days B) 2 days C) 4 1 β 2 days D) 3 days E) none of these | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/3) + (1/6)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) / 2</gadget>
<output>1/4 = around 0.25</output>
<... | A | calc |
ape210k__00352419 | A cuboid has a volume of 96 cubic meters and a base area of 16 square meters. What is its height in meters? | <gadget id="calculator">96 / 16</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
math_qa__eDQnEeNMeR3f22Ue | If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Select: A) 50 km B) 56 km C) 70 km D) 80 km E) 46 km | <gadget id="calculator">14 - 10</gadget>
<output>4</output>
<gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">10 * 5</gadget>
<output>50</output>
<result>A</result> | A | calc |
ape210k__00808215 | A football is 58 yuan. Teacher Zhang bought 3 footballs and paid the salesperson 200 yuan. How much should I get back? | <gadget id="calculator">58 * 3</gadget>
<output>174</output>
<gadget id="calculator">200 - 174</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
ape210k__00198215 | On a map with a scale of (1/2000000), 2 cm on the map represents the actual distance in kilometers. | <gadget id="calculator">1 / 2_000_000</gadget>
<output>1/2_000_000 = around 0</output>
<gadget id="calculator">2 / (1/2_000_000) / 100_000</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__01057857 | 6 times a number is 726, what is this number? | <gadget id="calculator">726 / 6</gadget>
<output>121</output>
<result>121</result> | 121 | calc |
aqua_rat__0QJABg8KS96mVRsk | A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years. Options.
A) 7 B) 8 C) 9 D) 10 E) 11 | Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years. (2x + 2) + 2x + x = 27 5x = 25 x = 5. Hence, B's age = 2x = 10 years. Answer: Option 10
<result>D</result> | D | calc |
aqua_rat__yzB65wovk7ZauNJg | Three printing presses, Q, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take Q, working alone at its constant rate, to do the same job? Pick ... | =1/4-1/5=1/20 Q can do 1/20 job in 1 hour Q can do the whole job in 20 hours=20
<result>E</result> | E | calc |
ape210k__00881125 | It takes about 25 tons of water to produce 1 ton of steel. A small steel mill produced 985 tons of steel last year. How many tons of water was used to make the steel? | <gadget id="calculator">25 * 985</gadget>
<output>24_625</output>
<result>24_625</result> | 24_625 | calc |
aqua_rat__OGK8EmDv9fbXU42Y | A garrison of 2000 men has provisions for 54 days. At the end of 18 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement? Choose the correct choice from the following
A) 1977 B) 1600 C) 1979 D) 1900 E) 1278 | 2000 ---- 54 2000 ---- 36 x ----- 20 x*20 = 2000*36 x = 3600 2000 ------- 1600 Answer: 1600
<result>B</result> | B | calc |
ape210k__00594123 | How many meters is the height of the cylinder with S=50m**2 and V=1500m**3? | <gadget id="calculator">1_500 / 50</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__01077501 | The surface area of a cube is 150cm**2, what is the length of its sides in cm? | <result>5</result> | 5 | calc |
aqua_rat__O8JALLWLxdF92bND | John, Mac and Tonny together can do a work in 20 days. John alone can do the work in 80 days and Mac alone can do the same work in 70 days. Find in what time Tonny alone can do that work? Choose the most appropriate option.
A) 50days B) 43.08days C) 53.80days D) 35days E) 44.50days | The required answer is = 20*80*70 / 80*70-20(80+70) = 112000/2600 = 43.08days Answer is 43.08days
<result>B</result> | B | calc |
aqua_rat__j2aeQG7uCed3ySkR | A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train? Choose the correct choice from the following options.
A) 200 B) 250 C) 260 D) 270 E) None | Sol. Speed = [72 * 5/18] m/sec = 20 m/sec; Time = 26 sec. Let the length of the train be x metres. Then, x + 250 / 26 = 20 β x + 250 = 520 β x = 270. Answer 270
<result>D</result> | D | calc |
ape210k__00474713 | If a car travels 480 kilometers in 4 hours, if it continues to drive at the same speed for 6 hours, how many kilometers will it travel in total? | <gadget id="calculator">480 / 4</gadget>
<output>120</output>
<gadget id="calculator">4 + 6</gadget>
<output>10</output>
<gadget id="calculator">120 * 10</gadget>
<output>1_200</output>
<result>1_200</result> | 1_200 | calc |
ape210k__00398098 | To make a rectangular parallelepiped frame, the length is 5 decimeters, the width is 4 decimeters, and the height is 2 decimeters. How long is the iron wire? | <gadget id="calculator">5 + 4 + 2</gadget>
<output>11</output>
<gadget id="calculator">11 * 4</gadget>
<output>44</output>
<result>44</result> | 44 | calc |
ape210k__00019903 | Three trucks of goods arrive at the warehouse gate at the same time. It takes 20 minutes to unload the goods in car A, 10 minutes to unload the goods in car B, and 30 minutes to unload the goods in car C. Only one car can be unloaded. How to arrange the order so that three cars can be unloaded? The sum of truck waiting... | <gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">20 * 2</gadget>
<output>40</output>
<gadget id="calculator">30 + 40 + 30</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
aqua_rat__8thtZPM2ZQTQTpwr | A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long? Select
A) 287 Sec B) 190 Sec C) 277 Sec D) 177 Sec E) 667 Sec | L = S*T S= 1200/120=
<gadget id="calculator">1200/120</gadget>
<output>10</output>
10 m/Sec. Total length (D)= 1900 m T = D/S T = 1900/10=
<gadget id="calculator">1900/10</gadget>
<output>190</output>
190 Sec Answer:190 Sec
<result>B</result> | B | calc |
ape210k__00386147 | The school held a speech contest. The seven judges rated Xiaopeng as: 93 points, 94 points, 99 points, 92 points, 94 points, 93 points, and 96 points. After removing the highest score and the lowest score, the average score was calculated. What is Peng's final score? | <gadget id="calculator">93 + 94 + 94 + 93 + 96</gadget>
<output>470</output>
<gadget id="calculator">7 - 2</gadget>
<output>5</output>
<gadget id="calculator">470 / 5</gadget>
<output>94</output>
<result>94</result> | 94 | calc |
ape210k__00608184 | A cylinder and a cone have the same base and volume, and the height of the cone is 12 cm. What is the height of the cylinder? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">12 * (1/3)</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
math_qa__1H8Vmpnvp69hfnHS | A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 10% profit on the cost o... | <gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">110 / 100</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">15 * (11/10)</gadget>
<output>33/2 = around 16.5</output>
<gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 /... | C | calc |
aqua_rat__Myb3PIO2xPsDp10d | workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.75 lacs . How many workers were they? Pick one.
A) 220 B) 230 C) 500 D) 1500 E) 590 | N * 50 = (375000 - 300000)=
<gadget id="calculator">(375000 - 300000)</gadget>
<output>75_000</output>
75000 N= 75000 / 50=
<gadget id="calculator">75000 / 50</gadget>
<output>1_500</output>
1500 1500
<result>D</result> | D | calc |
math_qa__u5eOQELBJ6wnNG7C | 10 is 6% of a, and 6 is 10% of b. c equals b/a. What is the value of c?
Choose the correct choice from the following:
A) 3 / 10 B) 6 / 17 C) 9 / 25 D) 10 / 33 E) 12 / 35 | <gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * 100</gadget>
<output>60</output>
<gadget id="calculator">10 / 6</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">(5/3) * 100</gadget>
<output>500/3 = around 166.666667</output>
<gadget id... | C | calc |
ape210k__00072869 | Which of the following numbers is closest to 1 | <gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">1 - (7/8)</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">1 - (8/9)</gadget>
<output>1/9 = around 0.111111</output>
<g... | 8/9 | calc |
math_qa__0Frmusd6aPmSQJWH | A train overtakes two person who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is: Pick: A) 45 m B) 50 m C) 54 m D) 72 m E) none of these | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">4 * (5/18)</gadget>
<output>10/9 = around 1.111111</output>
<gadget id="calculator">(10/9) * 10</gadget>
<output>100/9 = around 11.111111</output>
<gadget id="calculator">2 * (5/18)</gadget>
<output>5/9 = around ... | B | calc |
aqua_rat__5ClF57V7guXTxosO | In a class,30 students pass in english and 20 students in maths,while some students among these pass in both.how many students do only english as compared to those doing only maths? Choose the correct choice from the following answers
A) 10 B) 15 C) 4 D) 12 E) indeterminate | For doing Union or Intersection we would need three values. In this question the missing information in this question is Total no.of Students in the class. ANSWindeterminateR:indeterminate
<result>E</result> | E | calc |
aqua_rat__82CcWbRWlAqRNOSm | Zoe is interested in dividing her high school trophies into boxes so they can be put away in storage. Unfortunately, they do not divide equally. It turns out that in order for the boxes to each have an equal number of trophies, Zoe won't need one of the boxes and will have to add two of her college trophies to the last... | Option 26; 8..) Initially 26 trophies, increased to 28 trophies; and initially 8 boxes decreased to 7 boxes: 28 / 7=
<gadget id="calculator"> 28 / 7</gadget>
<output>4</output>
4 trophies per box.
<result>A</result> | A | calc |
ape210k__00401145 | There is a batch of goods in the warehouse. After being shipped out (3/5), 30 tons are brought in again. At this time, the goods in the warehouse are exactly the original (1/2). How many tons are there in the warehouse? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(1/2) - (2/5)</gadget>
<output>1/10 = around 0.1</output>
<gadget id=... | 300 | calc |
aqua_rat__zYBg62CIn8gu1YSo | There are 11 baskets numbered from 1 to 11 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a w... | Each child takes a total of 1+2+3+4+5+6+7+8+9+10+11 = 11*12/2=
<gadget id="calculator">11*12/2</gadget>
<output>66</output>
66 apples. The total number of apples taken by 10 children is 10*66=
<gadget id="calculator"> 10*66</gadget>
<output>660</output>
660 The number of apples left in the end is 1000 - 660=
<... | E | calc |
ape210k__00931581 | Class 1 of the third grade organizes a rope skipping competition. The one-minute rope skipping scores of 6 students in a group are: 120, 156, 200, 98, 134, and 186. If the highest score and the lowest score are removed, How many jumps per minute is the average score of a group of students? | <gadget id="calculator">120 + 156 + 134 + 186</gadget>
<output>596</output>
<gadget id="calculator">596 / 4</gadget>
<output>149</output>
<result>149</result> | 149 | calc |
ape210k__00548196 | What is 48 plus 6 times x. | <gadget id="calculator">48 + 6</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
ape210k__00472868 | A wire 24 cm long forms an isosceles triangle. If one waist is 7 cm, what is the base in cm? | <gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">24 - 14</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00074223 | For a nine-digit number, a is in the billion digit, b is in the tens of thousands digit, and c is in the ones digit. a is 4 times larger than b, and b is 5 times larger than c. The rest of you are all 0. What is this number? | <result>900_050_001</result> | 900_050_001 | calc |
aqua_rat__ZhEzQIhrfjOIuBC2 | The below sequence is a bit tricky. Can you solve it to find the next number?
6, 26, 326, 4326, ? Select
A) 54326
B) 38291
C) 54325
D) 38290
E) 55291 | See the pattern. With every digit, the previous numbers are added after that digit So the next number in the series is 54326 54326nswer : 54326
<result>A</result> | A | calc |
ape210k__00240150 | A number is 6 (2/15), what is this number? | <gadget id="calculator">2 / 15</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">6 * (2/15)</gadget>
<output>4/5 = around 0.8</output>
<result>4/5 = around 0.8</result> | 4/5 | calc |
ape210k__00016993 | There are 25 apple trees, and each apple tree harvests an average of 23 kilograms of apples. If each kilogram of apples is sold for 8 yuan, how much can these apples be sold for in total? | <gadget id="calculator">23 * 25</gadget>
<output>575</output>
<gadget id="calculator">8 * 575</gadget>
<output>4_600</output>
<result>4_600</result> | 4_600 | calc |
ape210k__01192801 | An adult breathes 16 times per minute on average, inhaling 500 cubic centimeters of air each time. How many cubic meters of air does he inhale in a day and night. | <gadget id="calculator">500 / 1_000_000</gadget>
<output>1/2_000 = around 0.0005</output>
<gadget id="calculator">24 * 60 * 16 * (1/2_000)</gadget>
<output>288/25 = around 11.52</output>
<result>288/25 = around 11.52</result> | 288/25 | calc |
ape210k__00137128 | Comparing (7/15) with (2/5), how many fractional units are larger. | <gadget id="calculator">5 / 1</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
ape210k__01195419 | It is 4.5 yuan per kilogram of oranges. Mom bought 18 kilograms of apples and paid 100 yuan. How much should I get back? | <gadget id="calculator">4.5 * 18</gadget>
<output>81</output>
<gadget id="calculator">100 - 81</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
ape210k__00499995 | Dongcun Primary School carried out tree planting activities. The number of trees planted in the fifth grade accounted for (1/6) of the whole school, and the number of trees planted in the sixth grade accounted for (1/5) of the whole school. It is known that 360 trees are planted in the fifth grade, how many trees are p... | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">360 / (1/6)</gadget>
<output>2_160</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">2_160 * (1/5)</gadget>
<output>432</output>
<result>432</result> | 432 | calc |
ape210k__01199103 | Use 240 cm wire to form a rectangle. The ratio of length to width is 3:2. What is the area of this rectangle? | <gadget id="calculator">240 / 2</gadget>
<output>120</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">120 * (2/5)</gadget>
<outp... | 3_456 | calc |
gsm8k__Kbfipgcon7vym6vn | An ice cream vendor has 50 chocolate-flavored ice creams and 54 mango-flavored ice creams in his cart. If he sold 3/5 of the chocolate-flavored ice creams and 2/3 of the mango-flavored ice creams, how many total ice creams were not sold? | There were a total of 50 + 54 =
<gadget id="calculator">50+54</gadget>
<output>104</output>
104 ice creams.
There were 50 x 3/5 =
<gadget id="calculator">50*3/5</gadget>
<output>30</output>
30 chocolate-flavored ice creams sold.
There were 54 x 2/3 =
<gadget id="calculator">54*2/3</gadget>
<output>36</output>
36 man... | 38 | calc |
ape210k__00139135 | There are 45 students in Class 5, 26 of them participated in the mathematics competition, 22 participated in the composition competition, and 12 participated in both competitions. How many people in class 5 did not participate in the two competitions? | <gadget id="calculator">22 - 12</gadget>
<output>10</output>
<gadget id="calculator">26 + 10</gadget>
<output>36</output>
<gadget id="calculator">45 - 36</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
mawps__yxY2fwGp5RFth648 | Charlotte had some Banana. Donald took 26 from him. Now Charlotte has 26 Banana. How many Banana Charlotte had to begin with? | <gadget id="calculator">26 + 26</gadget>
<output>52</output>
<result>52</result> | 52 | calc |
math_qa__JS1MI6kdIUks16Ya | If x + (1/x) = 5, what is the value of T= x^2 + (1/x)^2? Pick one: A) t = 21 B) t = 22 C) t = 23 D) 24 E) 27 | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">25 - 2</gadget>
<output>23</output>
<result>C</result> | C | calc |
aqua_rat__9PdkSoPt284C1rwr | Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 60 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach? Choose the correct answer
A... | Every hour, Nil gets ahead of Ethan 60 - 20=
<gadget id="calculator"> 60 - 20</gadget>
<output>40</output>
40 miles. When Nil arrived at the beach, Ethan is only 20 Γ 0.5= 10 miles behind. That tells us they only drove 1 hour when Nil arrived at the beach. The distance between their home and the beach is ... | B | calc |
gsm8k__H0ul8akW6lhh7BkW | After five years, Ron will be four times as old as Maurice. If Ron's age now is 43, how old is Maurice now? | If Ron is 43 now, he will be 43+5 =
<gadget id="calculator">43+5</gadget>
<output>48</output>
48 years old in five years.
After five years, Ron will be four times as old as Maurice, meaning Maurice will be 48/4 =
<gadget id="calculator">48/4</gadget>
<output>12</output>
12 years old then.
Currently, Maurice is 12-5 = ... | 7 | calc |
ape210k__00203239 | What is the meter after adding (2/3) to 12 meters? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">12 * (2/3)</gadget>
<output>8</output>
<gadget id="calculator">8 + 12</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00088762 | 2003*0.999-2004*0.998=how much. | <gadget id="calculator">2_003 * 0.999</gadget>
<output>2_000.997</output>
<gadget id="calculator">2_004 * 0.998</gadget>
<output>1_999.992</output>
<gadget id="calculator">2_000.997 - 1_999.992</gadget>
<output>1.005</output>
<result>1.005</result> | 1.005 | calc |
ape210k__00832223 | A cylinder with a height of 9 decimeters is cut into two equal parts along the diameter of the base to increase the surface area by 72 decimeters, what is the volume of the cylinder in cubic decimeters? | <gadget id="calculator">72 / 2 / 9 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4 * 9</gadget>
<output>113.04</output>
<result>113.04</result> | 113.04 | calc |
ape210k__00039277 | 4.7*99+4.7οΌ | <gadget id="calculator">4.7 * 99</gadget>
<output>465.3</output>
<gadget id="calculator">465.3 + 4.7</gadget>
<output>470</output>
<result>470</result> | 470 | calc |
aqua_rat__rEukg6AtUtItN05P | A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what R percent of the list price is the lowest p... | Let the list price be 2x for min sale price, the first discount given should be 50%, 2x becomes x here now, during summer sale additional 20% off is given ie sale price becomes 0.8x it is given lise price is $80 => 2x = 80 => x = 40 and 0.8x = 32 so lowest sale price is 32, which R is 40% of 80 he... | D | calc |
math_qa__k0ZxfK9rm3Maln38 | A can run 224 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
Choose the correct choice from the following choices: A) 38 metre B) 28 metre C) 23 metre D) 15 metre E) 28 metre | <gadget id="calculator">224 / 32</gadget>
<output>7</output>
<gadget id="calculator">7 * 28</gadget>
<output>196</output>
<gadget id="calculator">224 - 196</gadget>
<output>28</output>
<result>B</result> | B | calc |
aqua_rat__73STiTdScXhB8qFw | There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.42 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess? Pick
A) Rs. 450 B) Rs. 320 C) Rs. 550 D) Rs. 420 E) None | Solution: Let the original average expenditure be Rs.x then, 42(x - 1) - 35x = 42. => 7x = 84 => x = 12 Therefore original expenditure, = Rs.(35 Γ 12)=Rs.420. Answer: Option Rs. 420
<result>D</result> | D | calc |
aqua_rat__cN1is7fg49M0vkT5 | How many values of c in x^2 - 5x + c, result in rational roots which are integers? Pick:
A) 23
B) 27
C) 25
D) 12
E) 82 | Explanation: By the quadratic formula, the roots of x2β5x+c=0x2β5x+c=0 are β(β5)Β±β52β4(1)(c)ββββββββββββ2(1)β(β5)Β±β52β4(1)(c)2(1) = 5Β±25β4cβββββββ25Β±25β4c2 To get rational roots, 25β4c25β4c should be square of an odd number. Why? because 5 + odd only divided by 2 perfectly. Now let 25 - 4c = 1, then c = 6 If 25... | C | calc |
ape210k__00320638 | A cylindrical log is 2 meters long. After cutting it into 4 equal sections, the surface area increases by 18.84 square centimeters. What is the volume of this log in cubic centimeters? | <gadget id="calculator">18.84 / 6</gadget>
<output>3.14</output>
<gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">3.14 * 200</gadget>
<output>628</output>
<result>628</result> | 628 | calc |
ape210k__00987265 | Each coat is 82 yuan, and each pair of trousers is 38 yuan. If you buy two coats for 200 yuan, how much should you get back? | <gadget id="calculator">82 * 2</gadget>
<output>164</output>
<gadget id="calculator">200 - 164</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__01211747 | Ding Ding and the other 4 people in the group have an "arm wrestling" competition. If they have to compete once between two people, how many games will they have in total? | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00645211 | The number of students in a certain grade has increased by (1/6) compared to the original one. There are currently 420 students. How many are the original students? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 + (1/6)</gadget>
<output>7/6 = around 1.166667</output>
<gadget id="calculator">420 / (7/6)</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
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