id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00355405 | A total of 120 students won prizes in the painting competition, and the number of first prize winners was 2 more than 30% of the total number of winners. How many people won first prize? | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">120 * (3/10)</gadget>
<output>36</output>
<gadget id="calculator">36 + 2</gadget>
<output>38</output>
<result>38</result> | 38 | calc |
aqua_rat__bpzpoLbqETw5LsYz | What is the remainder when 49^74 - 5^74 is divided by 24? Choose the correct choice from the following answers
A) 2 B) 1 C) 0 D) 3 E) None of these | easiest way for me: 49^74 - 5^74 = (49)^37-25^37 = (24*2+1)^37 - (24+1)^37 -> remainder is 1^37 - 1^37 = 0 Ans : 0
<result>C</result> | C | calc |
math_qa__Q0m1lAQEUhp2hcBw | average of 5 numbers is 12 . if one number is excluded the average becomes 10 . the excluded number is Pick.
A) 35 B) 20 C) 40 D) 30 E) 67 | <gadget id="calculator">5 * 12</gadget>
<output>60</output>
<gadget id="calculator">10 * 4</gadget>
<output>40</output>
<gadget id="calculator">60 - 40</gadget>
<output>20</output>
<result>B</result> | B | calc |
aqua_rat__0CRpH5uJy4gViqbd | To a sugar solution of 10 liters containing 50% sugar, 10 liter of water is added. The percentage of sugar in the new solution is? Pick one
A) 25% B) 30% C) 15% D) 20% E) 18% | Quantity of sugar = 50*10/100=
<gadget id="calculator">50*10/100</gadget>
<output>5</output>
5kg New percentage= 5/20 * 100=
<gadget id="calculator">5/20 * 100</gadget>
<output>25</output>
25% 25%nswer is 25%
<result>A</result> | A | calc |
ape210k__01221989 | The circumference of the bottom of a conical grain pile is 12.56 meters, the height is 3 meters, and the weight of rice per cubic meter is 500 kilograms. How many kilograms does this pile of rice weigh? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">12.56 / 3.14 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">500 * (1/3) * 3.14 * 4 * 3</gadget>
<output>6_280</output>
<result>6_280</result> | 6_280 | calc |
ape210k__00118271 | The school leveled the playground and had to transport 195 tons of soil. First, it was transported 14 times by two vehicles with a load capacity of 6 tons and 7.5 tons, and the rest was transported by a 6-ton vehicle. How many more times? | <gadget id="calculator">6 + 7.5</gadget>
<output>13.5</output>
<gadget id="calculator">13.5 * 14</gadget>
<output>189</output>
<gadget id="calculator">195 - 189</gadget>
<output>6</output>
<gadget id="calculator">6 / 6</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00537385 | A cuboid glass container, measured from the inside, is 3dm in length and width. Pour 8.5L of water into the container, and then put an apple into the container and submerge it in the water. At this time, the water depth in the container is measured to be 1dm. The apple What is its volume? | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">8.5 / 9</gadget>
<output>0.944444</output>
<gadget id="calculator">1 - 0.944444</gadget>
<output>0.055556</output>
<gadget id="calculator">3 * 3 * 0.055556</gadget>
<output>0.500004</output>
<result>0.500004</result> | 0.500004 | calc |
ape210k__01132291 | A clock strikes 3 times at 3 o'clock, and 6 times at 6 seconds, how many seconds to finish. | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">3 * 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__joBv6h2OB37IzEyB | A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $20 more than that received by B, find the total amount shared by A, B and C.
Choose one: A) $320 B) $420 C) $720 D) $220 E)... | A = 1/3 (B+$720) => $720 = 3A - B ---(1) B = 2/7 (A+$720) => $720 = 3.5 B - A --(B) A-B = $20 A = 20+B (1)===> $720 = 60+3B - B = 2B+60 ==> 2B-$720 = -60 ---(3) (2)===> $720 = 3.5 B - B-20 = 2.5B-20==>2.5B-$720 = 20---(4) from (4) and (3) 0.5B = 80 B = $160 A= $180 $720 =540-160=
<g... | C | calc |
ape210k__00889979 | Xiaofang has 4 jackets and 3 pairs of trousers. How many different ways of matching Xiaofang's clothes can there be? | <gadget id="calculator">3 * 4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__8fZWPTMSqtKuyIJF | 31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 18 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists t... | lets solve by creating equation.. W = 31.. Total = 50.. Not W = 50 -31= 19.. Now let people who were neither be x, so out of 19 who won Nobel = x+3.. so x+x+3=19 or x=8.. so who won Nobel but not Wolf = x+3 = 11.. But people who won BOTH W and N = 13.. so total who won N = 11+18 = 29.. 29
<result>D</r... | D | calc |
aqua_rat__Vzc1JZdejvwra0RL | In store A there are 20 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned? Pick
A) 3:16. ... | 1st statement : ratio of pants Store A : Store 2:3. 20x : 40x X:2X Price : 4y:3y Total revenue 4xy : 6xy 2:3 Answer is 2:3.
<result>B</result> | B | calc |
ape210k__00271881 | If the two sides of a right triangle are 3 decimeters and 4 decimeters respectively, what is the area of the triangle in square decimeters? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00066362 | The sequence of numbers 1, 2, 3, 4, 5, 6, ... is eliminated. The principle of elimination is: all numbers that can be written as the sum of 3 composite numbers are retained; all numbers that cannot be written as the sum of 3 composite numbers are eliminated. What is the 2004th number in this column after elimination? | <gadget id="calculator">2_004 + 13</gadget>
<output>2_017</output>
<result>2_017</result> | 2_017 | calc |
ape210k__00176358 | There are two bags of rice, A and B, and bag A contains 10 kg of rice. If (1/3) is poured from bag B to bag A, the two bags of rice will have the same weight. How many kilograms of rice did bag B originally contain? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3) - (1/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">10 / (1/3)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__01220147 | The fifth and sixth graders participated in tree planting activities. The sixth graders planted 150 trees, and the fifth graders planted 150 trees (4/5). How many trees did the fifth graders plant? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">150 * (4/5)</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
aqua_rat__npOZ2ZBS907BvFlg | In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein ? Choose the correct ... | 3X + 4y = 240 by substitute through options 48 is correct Answer: 48
<result>B</result> | B | calc |
aqua_rat__TPrFTV58BUM4nhd2 | A train moves with a speed of 108 kmph. Its speed in metres per second is
Choose the correct option: A) 10.8 B) 18 C) 25 D) 30 E) None | Sol. 108 kmph = [108 x 5/18] m/sec = 30 m/sec. Answer 30
<result>D</result> | D | calc |
aqua_rat__obx8c5ytx86AfSbl | 49 x 49 x 49 x 49 = 7? Answers: A) 4 B) 7 C) 8 D) 16 E) 20 | Solution 49 * 49 * 49 * 49 = (72 * 72 * 72 * 72) = 7(2 + 2 + 2 + 2) = 78 so, the correct answer is 8 Answer 8
<result>C</result> | C | calc |
aqua_rat__iyyYPTaDdkJyOSoh | For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 253 books with ... | E 22rd day 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22=
<gadget id="calculator">1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22</gadget>
<output>253</output>
253 Thus our anniversary falls on the 22rd day of... | E | calc |
aqua_rat__VagXW1oXJViWA8d5 | There are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. If it was decided that the positions would be filled at random, then what is the probability R that the both positions will be taken by members of just one party? Choose the correct choice from the follo... | R probability of one party having both spots: (1/2) * (24/49) = 12/49 (1/2) or (25/50) because it does not matter which party or which person gets the first spot. (24/49) because after one person from a particular party is chosen, there are 24 members of the same party left out of 49 total candidates. Since this ... | D | calc |
aqua_rat__cuvzMZmpwQvBBthI | Susan, John, Peter, Jack, Daisy, Tim, Matt and Kim need to be seated in 8 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ? Choose the correct choice
A) 22360 B) 21120 C) 21800 D) 21060 E) 20160 | Total # of arrangement of 8 people is 8!. In half of the cases Susan will be seated left to Tim and in half of the cases Susan will be seated right to Tim (why should one seating arrangement have more ways to occur than another?). So, # of arrangements to satisfy the given condition is 8!/2=20160. Answer: 20160.
... | E | calc |
ape210k__00998013 | The inner diameter of the faucet of an electric water heater is 2 cm, and the flow rate of water after the faucet is turned on is 20 cm/s. A thermos jug with a volume of 2.512L, how many seconds can it be filled with water? | <gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">3.14 * 1 * 20</gadget>
<output>62.8</output>
<gadget id="calculator">1_000 / 62.8</gadget>
<output>15.923567</output>
<gadget id="calculator">2.512 * 1 * 15.923567</gadget>
<o... | 40 | calc |
ape210k__00000489 | From Wang Village to the county seat, you have to go through Li Village, Xiao Wang goes from Wang Village, and Xiao Li goes from Li Village to the county seat together. Xiao Wang rides a bicycle and walks 10 kilometers per hour, and Xiao Li walks 5 kilometers per hour. After 2 hours, they both arrive at the county seat... | <gadget id="calculator">10 - 5</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00114821 | The machine tool factory produced 240 machine tools this month, which was 3/5 more than last month. How many machines were produced last month? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 + (3/5)</gadget>
<output>8/5 = around 1.6</output>
<gadget id="calculator">240 / (8/5)</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__00584671 | A "Story of a Mathematician" has 192 pages, and Qingqing read 80 pages in the first 5 days. At this speed, how many days will it take to read the book completely? (Solve with ratio) | <gadget id="calculator">192 - 80</gadget>
<output>112</output>
<gadget id="calculator">80 / 5</gadget>
<output>16</output>
<gadget id="calculator">112 / 16</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00238832 | A certain class has a physical education class, the whole class is arranged in 4 rows (the number of people in each row is equal), Xiaofang's row is the 6th from the front, and the 7th from the back, how many students are there in this class? | <gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">6 + 6</gadget>
<output>12</output>
<gadget id="calculator">12 * 4</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00804217 | If a cube with an edge length of 4 decimeters is cut into the largest cylinder, what is the volume of this cylinder? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4 * 4</gadget>
<output>50.24</output>
<result>50.24</result> | 50.24 | calc |
ape210k__00320918 | A pile of logs is piled up in a trapezoidal shape. There are 3 logs in the top layer, 8 logs in the bottom layer, and 6 layers in height. How many logs are there in total in this pile? | <gadget id="calculator">3 + 8</gadget>
<output>11</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">11 * 3</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
aqua_rat__isMWSJAHqrdiBAyU | You add x ml of a 25% alcohol solution to a 200 ml of a 10% alcohol solution to obtain another solution. Find the amount of alcohol in the final solution in terms of x. Find the ratio, in terms of x, of the alcohol in the final solution to the total amount of the solution. What do you think will happen if x is very lar... | Let us first find the amount of alcohol in the 10% solution of 200 ml. 200 * 10% = 20 ml The amount of alcohol in the x ml of 25% solution is given by 25% x = 0.25 x The total amount of alcohol in the final solution is given by 20 + 0.25 x The ratio of alcohol in the final solution to the total amount of th... | A | calc |
aqua_rat__sZBheh4c9ZTgRchv | Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.55%, what fraction of the products was che... | x: 0.5% is 0.05%-points from 0.55%. y: 0.8% is 0.25%-points from 0.55%. Therefore the ratio of products checked by y:x is 1:5. Thus, worker y checked 1/6 of the products. The answer is 1/6.
<result>D</result> | D | calc |
ape210k__01166497 | Wenwen's father's current monthly salary is 4,400 yuan. According to regulations, the part of the monthly salary exceeding 3,500 yuan has to pay 3% personal income tax. Wenwen's father should pay a monthly personal income tax of how much. | <gadget id="calculator">4_400 - 3_500</gadget>
<output>900</output>
<gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">900 * (3/100)</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__00044637 | How much is 504 divided by 4? | <gadget id="calculator">504 / 4</gadget>
<output>126</output>
<result>126</result> | 126 | calc |
ape210k__00168673 | 3 tractors (2/3) hours cultivate (6/5) hectares, how many hectares each tractor cultivates per hour? | <gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(6/5) / (2/3) / 3</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
aqua_rat__iSudpsI1vK2Csgh2 | In what time will a train 95 m long cross an electric pole, it its speed be 214 km/hr? Choose the correct option: A) 1.6 sec B) 2.9 sec C) 2.7 sec D) 8.7 sec E) 8.5 sec | Speed = 214 * 5/18 = 59 m/sec Time taken = 95/59 = 1.6 sec. 1.6 secnswer: 1.6 sec
<result>A</result> | A | calc |
aqua_rat__rQBSKHNt3U0bYkWa | There is a 10% chance that Tigers will not win at all during the whole season. There is a 30% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season? Choose the correct answer:
A) A)55% B) B)60% C) C)80% D)... | There is a 10% chance that Tigers will not win at all during the whole season We can infer that there is 90% chance Tigers will win . Similarly There is a 30% chance that Federer will not play at all in the whole season We can also infer that there is 70% chance that Federer will play. Answer 70%
<result>E</res... | E | calc |
aqua_rat__FrmoUtE6t3PENm9O | If the ratio of the ages of two friends A and B is in the ratio 3 : 5 and that of B and C is 3 : 5 and the sum of their ages is 147, then how old is B? Choose the correct choice:
A) 27 Years
B) 75 Years
C) 45 Years
D) 49 Years
E) 59 Years | Explanation: The ratio of the ages of A and B is 3 : 5. The ratio of the ages of B and C is 3 : 5. B's age is the common link to both these ratio. Therefore, if we make the numerical value of the ratio of B's age in both the ratios same, then we can compare the ages of all 3 in a single ratio. The can be done b... | C | calc |
ape210k__01032627 | Use a batch of paper to bind homework books of the same size. If each book has 24 pages, 360 books can be bound. Now you need to use this batch of paper to bind 480 homework books. How many pages should each book be bound less? | <gadget id="calculator">24 * 360</gadget>
<output>8_640</output>
<gadget id="calculator">8_640 / 480</gadget>
<output>18</output>
<gadget id="calculator">24 - 18</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00211830 | On a plan with a scale of 1:8000, the distance between A and B is measured as 5 cm. What is the actual distance between A and B? | <gadget id="calculator">1 / 8_000</gadget>
<output>1/8_000 = around 0.000125</output>
<gadget id="calculator">5 / (1/8_000)</gadget>
<output>40_000</output>
<gadget id="calculator">40_000 / 100</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00149589 | There are 560 pear trees in the orchard, how many are there more apple trees than pear trees, and how many apple trees are there? The column formula is: 560*(1+(1/8)). | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<result>1/8 = around 0.125</result> | 1/8 | calc |
aqua_rat__hnUqwVQy5RnEYAb4 | A number of the form 213ab, where a and b are digits, has a reminder less than 10 when divided by 100. The sum of all the digits in the above number is equal to 13. Find the digit b. Choose the correct choice: A) 9 B) 10 C) 7 D) 12 E) 13 | 213ab may be written as 213ab = 21300 + 10a + b When 213ab is divide by 100, the reminder is 10a + b. The only way for the remainder to be less that 10 is that a = 0. Hence the sum of the digits is 2 + 1 + 3 + 0 + b = 13 Solve for b b = 7 correct answer 7
<result>C</result> | C | calc |
ape210k__00172316 | A cuboid iron box is 18 cm long, 15 cm wide, and 12 cm high. How many square decimeters of iron sheet should be used to make this iron box? | <gadget id="calculator">18 * 15 * 2</gadget>
<output>540</output>
<gadget id="calculator">18 * 12 * 2</gadget>
<output>432</output>
<gadget id="calculator">15 * 12 * 2</gadget>
<output>360</output>
<gadget id="calculator">540 + 432 + 360</gadget>
<output>1_332</output>
<gadget id="calculator">1_332 / 100</gadget>
<... | 333/25 | calc |
ape210k__00179066 | There are three piles of chess pieces, the number of chess pieces in each pile is equal, and there are only two colors of black and white. The number of sunspots in the first pile is the same as the number of whites in the second pile; the number of sunspots in the third pile accounts for (3/7) of all sunspots. If the ... | <gadget id="calculator">7 - 3</gadget>
<output>4</output>
<gadget id="calculator">4 - 3</gadget>
<output>1</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<r... | 5/12 | calc |
ape210k__01163655 | A number is 36 more than 40% of it. What is the number? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">36 / (3/5)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00127902 | There are red and white glass balls in the box. The number of red balls is 2 times more than that of white balls. Take 7 white balls and 15 red balls from the box each time. There are 8 red balls left, how many more red balls are there than white balls in the box? | <gadget id="calculator">8 / 15</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">2 / 15</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">(8/15) - (2/15)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3 / 15</gadget>
<output>1/5 = around 0.2</output>
... | 16 | calc |
ape210k__00024447 | A log is 1 meter long. If it is cut into 3 small logs, the surface area increases by 60 square decimeters. What is the volume of this log in cubic decimeters? | <gadget id="calculator">60 / 4</gadget>
<output>15</output>
<gadget id="calculator">15 * 1 * 10</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
aqua_rat__hzh5YReQa5zG4GRr | Oak trees line both sides of a street for a length of 7/10 of a kilometer. If there is 14 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street? Options:
A) a) 22 B) b) 23 C) c) 24 D) d) 44 E) e) 48 | There is a gap of 16 m between every 2 trees , each tree is 1 m wide. 7/10 of 1 km = 700 m Lets assume that x trees are planted So equation is x*1 +(x-1)*14 = 700 Solve for x and we get x = 48, answer is e) 48
<result>E</result> | E | calc |
ape210k__00068361 | 32*125． | <gadget id="calculator">32 * 125</gadget>
<output>4_000</output>
<result>4_000</result> | 4_000 | calc |
aqua_rat__UDheTSikULCkp58y | A table is bought for Rs.800/- and sold at a loss of 10% find its selling price Pick.
A) s.500/- B) s.530/- C) s.540/- D) s.600/- E) s.720/- | 100 % ------> 800 (100 * 8 = 800) 90 % ------> 720 (90 * 8 = 720) Selling price = Rs.720/- s.720/-
<result>E</result> | E | calc |
ape210k__01084271 | The grain store shipped 40 bags of rice and 40 bags of flour each. Rice was 50 kilograms per bag and flour was 25 kilograms per bag. How many kilograms of rice and flour were shipped in total? | <gadget id="calculator">40 * 50</gadget>
<output>2_000</output>
<gadget id="calculator">40 * 25</gadget>
<output>1_000</output>
<gadget id="calculator">2_000 + 1_000</gadget>
<output>3_000</output>
<result>3_000</result> | 3_000 | calc |
ape210k__00370214 | A square iron sheet with a side length of 8.4 cm, and a piece of iron sheet with an area of 40.5 square centimeters is dug out of it, what is the area of the remaining iron sheet? ? | <gadget id="calculator">8.4 * 8.4</gadget>
<output>70.56</output>
<gadget id="calculator">70.56 - 40.5</gadget>
<output>30.06</output>
<result>30.06</result> | 30.06 | calc |
aqua_rat__lQoqVITQbjOlcWju | Sam bought a container of cashew for Rs.2200000 weighing 14 tons. Packed it in a package of 1 kg and sold the package for Rs. 200. What is the % of profit Sam has made? Options.
A) 20.3%
B) 24.2%
C) 29.5%
D) 27.2%
E) 30.1% | Cost of buying= Rs. 2200000 Cost of selling= Rs(14000x200)=Rs.2800000 Profit made by Sam=Rs.600000 Percentage of profit made by Sam=(600000/2200000)x100=27.2% Answer:27.2%
<result>D</result> | D | calc |
aqua_rat__21Exn7CC1vawgcFc | A teacher gave the same test to three history classes: D, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?... | Ans : B (75) lets say class D indeed has 4 children, B has 6 children and C has 5 children. now, if the average of class D is 65, hence total marks awarded in the class = 65*4=
<gadget id="calculator">65*4</gadget>
<output>260</output>
260 Similarly, class B= 80*6=
<gadget id="calculator">80*6</gadget>
<outpu... | B | calc |
ape210k__00560763 | The base is a square cuboid, the sum of the lengths of all sides is 80cm, and the known height is 10cm, what is the volume of this cuboid? | <gadget id="calculator">4 * 10</gadget>
<output>40</output>
<gadget id="calculator">80 - 40</gadget>
<output>40</output>
<gadget id="calculator">12 - 4</gadget>
<output>8</output>
<gadget id="calculator">40 / 8</gadget>
<output>5</output>
<gadget id="calculator">5 * 5 * 10</gadget>
<output>250</output>
<result>250... | 250 | calc |
aqua_rat__8qRBpoOpoKG8zNXn | Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1655.5 miles? Answers: A) Two hours and 30 minutes. B) One hour and 10 minutes. C) Two hours a... | Answer is C. Two hours and 45 minutes. Since they are racing towards each other, the speed is accumulative, ie. 350 mph + 350*0.72 = 602 (0.72 because the second train is 28% slower) So time before collision is total distance / total speed = 1655.5/602 = 2 hours and 45 mins
<result>C</result> | C | calc |
ape210k__00563971 | The greatest common factor of two natural numbers is 14, and the least common multiple is 84. It is known that one of the numbers is 28, and what is the other number? | <gadget id="calculator">84 / 28</gadget>
<output>3</output>
<gadget id="calculator">14 * 3</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
math_qa__BLNztRYygbHjpBny | A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 20 as remainder. Find the no. is? Select:
A) 122456 B) 220020 C) 220022 D) 235467 E) 220026 | <gadget id="calculator">555 + 445</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 * 2</gadget>
<output>2_000</output>
<gadget id="calculator">555 - 445</gadget>
<output>110</output>
<gadget id="calculator">2_000 * 110</gadget>
<output>220_000</output>
<gadget id="calculator">220_000 + 20</gadget>
<out... | B | calc |
ape210k__00681095 | The engineering team dug a 1,000-meter canal, dug 450 meters in the first week, and 310 meters in the second week? How many meters are left undug? | <gadget id="calculator">1 * 1_000</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 - 450 - 310</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
ape210k__01090617 | The distance between A and B is 300 kilometers, and it takes 20 hours for A to complete the journey, and 30 hours for B to complete the journey. Two people walk towards each other from places A and B at the same time. How many hours did they meet? | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/20) + (1/30)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / (1/12)</gadget>
<output>12</output>
<result... | 12 | calc |
ape210k__00303867 | Divide the quotient of 4 by 1.8, add 3, and multiply by 2, what is the product? | <gadget id="calculator">1.8 / 4</gadget>
<output>0.45</output>
<gadget id="calculator">0.45 + 3</gadget>
<output>3.45</output>
<gadget id="calculator">3.45 * 2</gadget>
<output>6.9</output>
<result>6.9</result> | 6.9 | calc |
ape210k__00924053 | 3.5 times of a number is 46 more than 1.2 times of this number, find this number. | <gadget id="calculator">3.5 - 1.2</gadget>
<output>2.3</output>
<gadget id="calculator">46 / 2.3</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
gsm8k__3PPAaE2OcJKI0eMV | Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them half as often as he sleds down the tall hills. How many times did he sled down the hills? | On the tall hills, he sleds down 2 tall hills * 4 times per tall hill =
<gadget id="calculator">2*4</gadget>
<output>8</output>
8 times.
He sleds down the small hills half as often so he sleds down each hill 4 times per tall hill / 2 =
<gadget id="calculator">4/2</gadget>
<output>2</output>
2 times per small hill.
On... | 14 | calc |
ape210k__00292137 | The planned urban population of You County increased from 125,000 in 2008 to 175,000 in 2010 and 230,000 in 2015. It is estimated that the urban population of You County will be much larger in 2010 than in 2008. | <gadget id="calculator">17.5 - 12.5</gadget>
<output>5</output>
<gadget id="calculator">5 / 12.5</gadget>
<output>0.4</output>
<result>0.4</result> | 0.4 | calc |
math_qa__1pLnBgg4ZzLJu5is | A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.14200 after a year? Choose the correct choice from the following options
A) 3630 B) 9232 C) 4260 D) 2387 E) 2813 | <gadget id="calculator">6_300 + 4_200</gadget>
<output>10_500</output>
<gadget id="calculator">10_500 + 10_500</gadget>
<output>21_000</output>
<gadget id="calculator">6_300 / 21_000</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) * 14_200</gadget>
<output>4_260</output>
<result>C</result... | C | calc |
aqua_rat__VSnUpZAFjj8e4M8i | A certain number when divided by 95 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choose one
A) 4
B) 5
C) 6
D) 8
E) 9 | Explanation: 95 + 25=
<gadget id="calculator">95 + 25</gadget>
<output>120</output>
120/15=
<gadget id="calculator">120/15</gadget>
<output>8</output>
8 (Remainder) 8
<result>D</result> | D | calc |
math_qa__HwDMKSzMavu8beb6 | A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 380 m long platform?
Select:
A) 50
B) 27
C) 29
D) 47
E) 28 | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(5/18) * 36</gadget>
<output>10</output>
<gadget id="calculator">10 * 12</gadget>
<output>120</output>
<gadget id="calculator">380 + 120</gadget>
<output>500</output>
<gadget id="calculator">500 / 10</gadget>
<o... | A | calc |
ape210k__00314641 | Teacher Li bought 2 boxes of badminton, each with 6 pieces, and spent a total of 48 yuan. How much is an average badminton? | <gadget id="calculator">2 * 6</gadget>
<output>12</output>
<gadget id="calculator">48 / 12</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00342198 | A conical pile of sand is 2 meters high and has a base diameter of 6 meters. If it is put into a carriage, the carriage is 2.5 meters wide and 4 meters long, how high should the carriage be at least to hold the sand? | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">3.14 * 9 * 2 * (1/3)</gadget>
<output>18.84</output>
<gadget id="calculator">2.5 * 4</gadget>
<ou... | 1.884 | calc |
ape210k__00955033 | Zhang Ming reads a 60-page book. On the first day, he read 30% of the book and 10 more pages. How many pages are left? | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">60 * (3/10)</gadget>
<output>18</output>
<gadget id="calculator">18 + 10</gadget>
<output>28</output>
<gadget id="calculator">60 - 28</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
aqua_rat__eS2c4bFx6v4hkBnj | Which of the following is equal to 1(3/5)%? Choose the correct option.
A) 0.012/100
B) 0.12/100
C) 1.6/100
D) 12/100
E) 12/10 | This notation may be confusing for some, since it looks like we're multiplying 1 and 3/5 How about adding a space:Which of the following is equal to (1 3/5)% (1 3/5)% = 1.6% = 1.6/100 Answer: 1.6/100
<result>C</result> | C | calc |
math_qa__d9dIP7PiEnG6lGvn | A batsman in his 15th inning makes a score of 75 and their by increasing his average by 3. What is his average after the 15th inning?
Choose the correct option
A) 31 B) 32 C) 33 D) 34 E) 35 | <gadget id="calculator">3 * 15</gadget>
<output>45</output>
<gadget id="calculator">75 - 45</gadget>
<output>30</output>
<gadget id="calculator">30 + 3</gadget>
<output>33</output>
<result>C</result> | C | calc |
ape210k__00042595 | Divide 145 oranges into several piles, and the number of oranges in each pile is different. What is the maximum number of piles that can be divided into piles? | <result>16</result> | 16 | calc |
ape210k__01112623 | The perimeter of a rectangular pond is 240m, and the ratio of length to width is 5:3. How many m**2 does this pond occupy? | <gadget id="calculator">240 / 2</gadget>
<output>120</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">120 * (5/8)</gadget>
<output>75</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = aro... | 3_375 | calc |
ape210k__00084360 | For a cart of fruit, take away (1/3) of it on the first day and (1/6) of it on the second day, how much of this cart is left. | <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 - (1/3) - (1/6)</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00357101 | The radius of a circular flower bed is 3m. If the radius of this flower bed is increased by 1m, the area will be increased by how much m**2. | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</output>
<gadget... | 21.98 | calc |
aqua_rat__0QGyFH4bAOMyCTm3 | If (2^x)(3^y) = 216, where x and y are positive integers, then (2^x-1)(3^y-2) equals: Select:
A) 12 B) 24 C) 48 D) 96 E) 144 | So I would start attacking this problem by quickly performing the prime factorization of 288. With that it is easy to count the 5 twos and the 2 threes that are the prime factors. So x=3, y=3. now quickly 2^2(3^1)=12. Than answer should be number 1. 12
<result>A</result> | A | calc |
aqua_rat__Hn9xyRtLuK8bW7Ov | At a special sale, 6 tickets can be purchased for the price of 3 tickets. If 6 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 6 tickets? Choose the correct choice from the following:
A) 20%
B) 33.3%
C) 40%
D) 50%
E) 66.6% | let the price of a ticket be Rs.100, so 3 tickets cost 300 & 6 tickets cost 600 6 tickets purchased at price of 3 tickets ie., for 300, so amount saved s Rs.300, % of 6 tickets = (300 /600)*100=
<gadget id="calculator">(300 /600)*100</gadget>
<output>50</output>
50 % ANSWER:50%
<result>D</result> | D | calc |
ape210k__00056110 | If the sides of an isosceles triangle are 4 cm and 10 cm long, what is the perimeter of the isosceles triangle? | <gadget id="calculator">10 + 10 + 4</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
aqua_rat__tGp2b6lc6IkRltoV | Mudit's age 48 years hence will be thrice his age four years ago. Find Mudit's present age?
Select the correct option
A) 12 B) 19 C) 27 D) 18 E) 30 | Explanation: Let Mudit's present age be 'm' years. m + 48 = 3(m - 4) => 2m = 60 => m = 30 years. Answer:30
<result>E</result> | E | calc |
ape210k__01120783 | cylinder and a cone have the same base and height, and the sum of their volumes is 0.24 cubic decimeters, what is the volume of the cylinder? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + (1/3)</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">0.24 / (4/3)</gadget>
<output>0.18</output>
<result>0.18</result> | 0.18 | calc |
ape210k__00386679 | Classmate Wang Ming is participating in a 1,000-meter middle-distance race. One lap of the playground track is 250 meters. How many laps does Wang Ming have to run? | <gadget id="calculator">1_000 / 250</gadget>
<output>4</output>
<gadget id="calculator">1 * 4</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00005694 | There are 8 balls in a black cloth bag, 3 of which are red, and if one of them is drawn at random, what is the probability that it is exactly red? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<result>3/8 = around 0.375</result> | 3/8 | calc |
aqua_rat__EKfdaVUlrYXboMKh | A certain no. when divided by 140 leaves a remainder 25, what is the remainder if the same no.be divided by 15? Choose the correct choice from the following answers:
A) 2 B) 4 C) 7 D) 8 E) 11 | 11xplanation: 140 + 25=
<gadget id="calculator"> 140 + 25</gadget>
<output>165</output>
165/15=
<gadget id="calculator">165/15</gadget>
<output>11</output>
11 (Remainder) 11
<result>E</result> | E | calc |
ape210k__00628931 | A car travels 260 km from city A to city B in 4 hours. According to this calculation, it will take another 3 hours to reach the destination. How many miles is the distance between city A and city B? | <gadget id="calculator">260 / 4</gadget>
<output>65</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">65 * 7</gadget>
<output>455</output>
<result>455</result> | 455 | calc |
ape210k__00029606 | Uncle Wang bought a building worth 800,000 yuan from a bank loan. The down payment is 3/5 of the purchase price, and the rest of the house payment is a bank loan. How much did Uncle Wang borrow from the bank? | <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">80 * (2/5)</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00795793 | Known: (2/(2*4))=(1/2)-(1/4), calculation: (2/(2*4))+(2/(4*6))+(2/ (6*8))+(2/(8*10))+(2/(10*12)). | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 * 6</gadget>
<output>24</output>
<gadget id="calculator">2 / 24</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">6 * 8</gadget>
<outpu... | 5/12 | calc |
ape210k__00490929 | On a map with a scale of 1:300,000, the distance between A and B is 6 cm. On another map with a scale of 1:200,000, what is the distance between the two places on the map? | <gadget id="calculator">1 / 300_000</gadget>
<output>1/300_000 = around 0.000003</output>
<gadget id="calculator">6 / (1/300_000)</gadget>
<output>1_800_000</output>
<gadget id="calculator">1 / 200_000</gadget>
<output>1/200_000 = around 0.000005</output>
<gadget id="calculator">1_800_000 * (1/200_000)</gadget>
<out... | 9 | calc |
math_qa__g1dvIQOVRV8VdM49 | A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the pro... | <gadget id="calculator">50 + 50</gadget>
<output>100</output>
<gadget id="calculator">100 - 50</gadget>
<output>50</output>
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">50 / 10</gadget>
<output>5</output>
<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output... | B | calc |
ape210k__00080523 | It is known that the minute hand of a clock is 4 cm long, how many centimeters does it move from 9:00 am to 3:00 pm. | <gadget id="calculator">2 * 3.14 * 4 * 6</gadget>
<output>150.72</output>
<result>150.72</result> | 150.72 | calc |
aqua_rat__TARGo0yTptLZrxdq | 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4? Choose the correct choice from the following options:
A) 3:9 B) 3:1 C) 3:7 D) 3:4 E) 3:6 | Milk = 3/5 * 125=
<gadget id="calculator">3/5 * 125</gadget>
<output>75</output>
75 liters Water= 50 liters 75 : (50+P) = 3:4 150 + 3P = 400 => P = 50 50 liters of water are to be added for the ratio become 3:4. Answer: 3:4
<result>D</result> | D | calc |
ape210k__00189318 | Xiao Ming reads a book. If he reads 15 pages a day, he can finish it in 24 days. If he reads 20 pages a day, how many days can he finish it? | <gadget id="calculator">15 / 20</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">24 * (3/4)</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00543410 | 65 tons of cement were transported to the construction site in the morning, and 15 tons were transported three times more in the afternoon than in the morning. How much more tons are shipped in the afternoon than in the morning? | <gadget id="calculator">65 * 3</gadget>
<output>195</output>
<gadget id="calculator">15 - 65</gadget>
<output>-50</output>
<gadget id="calculator">195 + (-50)</gadget>
<output>145</output>
<result>145</result> | 145 | calc |
ape210k__00596738 | There are three departments in a local government. Department A has 40 civil servants, Department B has 28 civil servants, and Department C has 32 civil servants. If each department cuts off the personnel according to the same ratio, so that only 75 civil servants remain in this agency, then B How many civil servants a... | <gadget id="calculator">40 + 28 + 32</gadget>
<output>100</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">28 * (3/4)</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
math_qa__5QmWBpKFZwGT4svh | The salaries of A and B together amount to $6000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary? Answers
A) $ 1000 B) $ 1250 C) $ 2500 D) $ 4500 E) $ 5200 | <gadget id="calculator">100 - 85</gadget>
<output>15</output>
<gadget id="calculator">100 - 95</gadget>
<output>5</output>
<gadget id="calculator">15 / 5</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">6_000 / 4</gadget>
<output>1_500</output>
<gadget i... | D | calc |
aqua_rat__Sq2z3bZCkGLyDuOr | Three bells commence tolling together and toll at intervals of 3,6,9 seconds respectively. In 60 minutes, how many times do they toll together? Choose the correct choice from the following answers:
A) 4 B) 10 C) 15 D) 21 E) 17 | L.C.M of 3,6,9 is 18. i.e after each 3 min they will toll together.So in 60 min they will toll 20 times.As they have initially tolled once,The answer will be 20+1=
<gadget id="calculator"> 20+1</gadget>
<output>21</output>
21. ANSWER:21
<result>D</result> | D | calc |
gsm8k__ATxkkBy2406nxRoG | The Reptile House at the zoo has 5 fewer animals than 3 times the number of animals housed in the Rain Forest exhibit. If the Reptile House has 16 animals, how many are in the Rain Forest exhibit? | Let x be the number of animals in the Rain Forest exhibit
3x-5=16
3x=21
x=
<gadget id="calculator">7</gadget>
<output>7</output>
7.
<result>7</result> | 7 | calc |
ape210k__00314198 | Xiao Ming is 9 years old in 2008, what is his birth year? | <gadget id="calculator">2_008 - 9</gadget>
<output>1_999</output>
<result>1_999</result> | 1_999 | calc |
math_qa__5XdKbh7cX1ewXVNd | A train running at the speed of 90 km/hr crosses a pole in 15 seconds. What is the length of the train?
Select the correct option.
A) 325 B) 350 C) 375 D) 400 E) 425 | <gadget id="calculator">90 * 1_000</gadget>
<output>90_000</output>
<gadget id="calculator">90_000 / 3_600</gadget>
<output>25</output>
<gadget id="calculator">25 * 15</gadget>
<output>375</output>
<result>C</result> | C | calc |
ape210k__00656969 | If a flower bed with a radius of 3m is built in a circular lawn with a diameter of 10m, what is the remaining area of the lawn? | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">3.14 * 5 * 5</gadget>
<output>78.5</output>
<gadget id="calculator">3.14 * 3 * 3</gadget>
<output>28.26</output>
<gadget id="calculator">78.5 - 28.26</gadget>
<output>50.24</output>
<result>50.24</result> | 50.24 | calc |
ape210k__00472532 | In the long jump competition, Xiao Ming jumped 3.16 meters, Xiao Gang jumped 0.24 meters more than Xiao Ming, Xiao Qiang jumped 0.19 meters less than Xiao Gang, how many meters did Xiao Qiang jump? | <gadget id="calculator">0.24 - 0.19</gadget>
<output>0.05</output>
<gadget id="calculator">3.16 + 0.05</gadget>
<output>3.21</output>
<result>3.21</result> | 3.21 | calc |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.