id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00461551 | A water pipe in the school was broken, and it leaked 0.18 tons of water per hour. It took 0.25 hours for the water pipe to be found after it was broken. How many tons of water did it leak during this period? | <gadget id="calculator">0.18 * 0.25</gadget>
<output>0.045</output>
<result>0.045</result> | 0.045 | calc |
aqua_rat__nVgJyZNPb25iY0U0 | Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in: Options:
A) 3 9 /17 hours B) 1 13 /17 hours C) 2 8 /11 hours D) 4 1 /2 hours E) None of these | Explanation: Solution 1 Pipes A and B can fill the tank in 5 and 6 hours respectively. Therefore, part filled by pipe A in 1 hour =1/5 part filled by pipe B in 1 hour =1/6 Pipe C can empty the tank in 12 hours. Therefore, part emptied by pipe C in 1 hour =1/12 Net part filled by Pipes A,B,C together in 1 ... | A | calc |
ape210k__00228292 | 6 times a number is (4/5), what is this number? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) / 6</gadget>
<output>2/15 = around 0.133333</output>
<result>2/15 = around 0.133333</result> | 2/15 | calc |
aqua_rat__Pngn2AeKjpnBBYoC | Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. in 30 m9nutes,how many times do they toll together ? Choices:
A) 4
B) 10
C) 15
D) 16
E) 17 | Solution L.C.M. of 2,4,6,8,10,12 is 120. So, the bells will toll together after every 120 seconds, i.e., 2 minutes In 30 minutes, they will toll together left [ ( 30/2 )+ 1=
<gadget id="calculator"> ( 30/2 )+ 1</gadget>
<output>16</output>
16 times. Answer 16
<result>D</result> | D | calc |
aqua_rat__M6I1KcTAZah6HoXg | In what proportion must rice at Rs 3.10 per kg be mixed with rice at Rs 3.60 per kg, so that the mixture be worth Rs 3.25 a kg? Pick one.
A) 3/5 B) 3/2 C) 5/3 D) 5/7 E) 7/3 | C.P of 1 kg of cheaper rice = Rs 3.10 C.P of 1 kg of expensive rice = Rs 3.60 the mixture be worth for 1 kg = Rs 3.25 By the alligation rule : Quantity of cheaper rice / Quantity of expensive rice = (3.6 - 3.25)/(3.25 - 3.10) = (0.35)/(0.15) = 7/3 7/3
<result>E</result> | E | calc |
aqua_rat__V9TOrRvsBiKpsnH5 | In how many different Q ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
Choices.
A) 70 B) 288 C) 576 D) 10,080 E) 20,160 | Treat the 4 ladies as one object, now you have 5 objects to arrange around a table (m1,m2,m3,m4,women). This can be done in (5-1)! ways And there are 4! ways to arrange ladies among themselves Answer Q= (4!)^2 = 576 or 576
<result>C</result> | C | calc |
ape210k__00462598 | There are two piles of coal, one pile is 560 tons, the other pile is 286 tons, a car can transport 9 tons each time. How many times does this car need to transport all the coal? | <gadget id="calculator">560 + 286</gadget>
<output>846</output>
<gadget id="calculator">846 / 9</gadget>
<output>94</output>
<result>94</result> | 94 | calc |
aqua_rat__ffvXMHwqrCEbCwvS | Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ? Choose the correct choice from the following answers:
A) 11:9
B) 11:20
C) 9:20
D) 11:8
E) None | Sol. In the same time, they cover 110 km and 90 km respectively. ∴ Ratio of their speeds = 110 : 90 = 11 : 9. 11:9nswer 11:9
<result>A</result> | A | calc |
aqua_rat__RrSAjOAHKgCxo8GO | A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x? Choose the correct choice from the following answers:
A) 1/5 B) 1/3 C) 1/2 D) 1 E) 3 | Concentration of salt in pure solution = 0 Concentration of salt in salt solution = 60% Concentration of salt in the mixed solution = 10% The pure solution and the salt solution is mixed in the ratio of --> (60 - 10)/(10 - 0) = 5/1 1/x -- (60 - 10)/(10 - 0)=
<gadget id="calculator">-- (60 - 10)/(10 - 0)</... | A | calc |
ape210k__00962937 | On March 14, 2014, Xiao Ming went to the bank to deposit "lucky money". He deposited the "lucky money" for five years at a fixed rate of 4.00%. | <gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">(1/25) * 5</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">3_000 / (6/5)</gadget>
<output>2_500</output>
<result>2_500<... | 2_500 | calc |
aqua_rat__n320nOEWv3EjvhHu | If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is? Choose the correct answer
A) 33% B) 29% C) 25% D) 55% E) 39% | C 25% Given that, cost price of 50 article is equal to selling price of 40 articles. Let cost price of one article = Rs. 1 Selling price of 40 articles = Rs. 50 But Cost price of 40 articles = Rs. 40 Therefore, the trader made profit.\Percentage of profit = 10/40 * 100=
<gadget id="calculator">10/40 * 100<... | C | calc |
ape210k__00613047 | Li Lin made a fixed deposit of 2,000 yuan in the bank on September 1 last year. Calculated at an annual interest rate of 2.25%, how much after-tax interest can he get after one year? (interest tax rate 20%) | <gadget id="calculator">2.25 / 100</gadget>
<output>0.0225</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">2_000 * 0.0225 * 1 * (4/5)</gadget>
<output>36</output>
<result>36</res... | 36 | calc |
ape210k__00048108 | Li Hong reads a 150-page story book. She reads (1/5) of the whole book on the first day, and the rest (1/6) on the second day. How many pages did she read on the second day? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">150 * (1/5)</gadget>
<output>30</output>
<gadget id="calculator">150 - 30</gadget>
<output>120</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">120 * (1/6)</... | 20 | calc |
ape210k__00783037 | The ratio of the number of large balloons to the number of small balloons is 3:8, and the number of large balloons plus the number of small balloons (5/7) totals 244. How many balls are there? | <gadget id="calculator">7 / 4</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">(7/4) * 8</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00205157 | It is known that ☆/△=80, if ☆ is divided by 2, and △ is multiplied by 2, what is the quotient | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">80 / 4</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00860009 | 5 times a number minus the smallest composite number, the difference is 71. What is this number? | <gadget id="calculator">71 + 4</gadget>
<output>75</output>
<gadget id="calculator">75 / 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__bgrfV9TPfaIRuTrf | Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 960 pounds of the seed mixture? Select the correct option.
A) 6
B) 12
C) 20
D) 24
E) 120 | If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds. Thus we need 40 pounds of mixture per acre. 960 / 40=
<gadget id="calculator">960 / 40</gadget>
<output>24</output>
24 acres The answer is 24.
<result>D</result> | D | calc |
ape210k__00779477 | A car travels 52.4 kilometers per hour and arrives at the destination in 2.5 hours. If you want to arrive within 2 hours, how many kilometers per hour should you travel on average? | <gadget id="calculator">2.5 / 2</gadget>
<output>1.25</output>
<gadget id="calculator">52.4 * 1.25</gadget>
<output>65.5</output>
<result>65.5</result> | 65.5 | calc |
ape210k__00610275 | Solve the equation: x-60%=0.16. | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">0.16 + (3/5)</gadget>
<output>0.76</output>
<result>0.76</result> | 0.76 | calc |
aqua_rat__BI45RsWjNGrNjwd1 | 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. 21,000. What was Simran's share in the profit? Choose the correct choice from the following.
A) Rs. 9423 B) Rs. 10,250 C) Rs. 9000 D) Rs. 14,000 E) Non... | Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4 Simran's share = 21000 * 3/7 = Rs. 9000 ANSWER:Rs. 9000
<result>C</result> | C | calc |
ape210k__00112762 | A rectangular vegetable garden is 12 meters long and 3 meters wide. It is necessary to surround the vegetable garden with a fence. How long should the fence be? | <gadget id="calculator">12 + 3</gadget>
<output>15</output>
<gadget id="calculator">15 * 2</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00174931 | cylindrical container and a conical container have the same bottom area, and the height of the cone is 1/6 of the cylinder. If the cone is filled with sand and poured into the cylinder, how many times does it take to fill the cylinder with sand? | <result>18</result> | 18 | calc |
ape210k__00357945 | The diameter of a wheel of a car is 0.5 meters, and the car travels 1570 meters, how many revolutions does the wheel make? | <gadget id="calculator">3.14 * 0.5</gadget>
<output>1.57</output>
<gadget id="calculator">1_570 / 1.57</gadget>
<output>1_000</output>
<result>1_000</result> | 1_000 | calc |
aqua_rat__7w11yp5AMq4oR4oF | Mrs. Rodger got a weekly raise of $175. If she gets paid every other week, write an integer describing how the raise will affect her paycheck. Choose the correct choice from the following answers.
A) $204 B) $231 C) $156 D) $175 E) $200 | Let the 1st paycheck be x (integer). Mrs. Rodger got a weekly raise of $ 175. So after completing the 1st week she will get $ (x+175). Similarly after completing the 2nd week she will get $ (x + 175) + $ 175. = $ (x + 175 + 175) = $ (x + 350) So in this way end of every week her salary will increase by $ 17... | D | calc |
ape210k__00418309 | rectangular flowerbed has a perimeter of 80 meters and the ratio of length to width is 5:3. What is the area of the garden in square meters? | <gadget id="calculator">80 / 2</gadget>
<output>40</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">40 * (5/8)</gadget>
<output>25</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around... | 375 | calc |
aqua_rat__vZvqTnTeAiYII7fh | What least number should be added to 1021, so that the sum is completely divisible by 25? Pick:
A) 4
B) 3
C) 2
D) 0
E) 5 | 1021 ÷ 25 = 40 with remainder = 21 21 + 4=
<gadget id="calculator">21 + 4</gadget>
<output>25</output>
25. Hence 4 should be added to 1021 so that the sum will be divisible by 25 4nswer: Option 4
<result>A</result> | A | calc |
ape210k__00834699 | The students have to plant a total of 387 apple trees and 276 pear trees, and 238 have been planted. How many are still left? | <gadget id="calculator">276 - 238</gadget>
<output>38</output>
<gadget id="calculator">387 + 38</gadget>
<output>425</output>
<result>425</result> | 425 | calc |
ape210k__00253741 | Bottle A contains 900 grams of 20% salt water, and bottle B contains 600 grams of 45% salt water. Now pour several grams of salt water from bottle B into bottle A. After mixing, pour another weight of salt water from bottle A back into bottle B. bottle, so that A and B have the same weight of the two bottles of salt wa... | <gadget id="calculator">900 + 600</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 / 2</gadget>
<output>750</output>
<gadget id="calculator">750 - 600</gadget>
<output>150</output>
<gadget id="calculator">350 + 150</gadget>
<output>500</output>
<result>500</result> | 500 | calc |
ape210k__00500542 | The road construction team repaired a section of railway. After one day of construction, the ratio of repaired to unrepaired was 1:4. The next day after repairing 3200 meters, the ratio of completed to unrepaired was 5:4. How long is this section of railway in meters? ? | <gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(5/9) - (1/5)</gadget>
<o... | 9_000 | calc |
aqua_rat__jTW3o1wILxDzmxL3 | John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase? Choose the correct choice from the following answers:
A) 16%
B) 16.66%
C) 18%
D) 21%
E) 40% | Increase = (20/50)*100=
<gadget id="calculator">(20/50)*100</gadget>
<output>40</output>
40%. 40%
<result>E</result> | E | calc |
aqua_rat__bBo5ftk8kyuWR2EB | The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.2 kg. the weight of the new student is ? Answers:
A) 1 kg B) 10.8 kg C) 11 kg D) 14.9 kg E) None | Answer Weight of new student = Total weight of all 20 students - Total weight of initial 19 students = (20 x 14.2 - 19 x 15) kg = 1 kg. Correct Option: 1 kg
<result>A</result> | A | calc |
aqua_rat__zJnN31iE6rnPN6qj | If 'b' is a positive integer exactly divisible by 5 or 7 but not divisible by 11.What could possibly be the value of 'b' ? Answers:
A) 55 B) 35 C) 77 D) 110 E) 165 | 55 and 77 are both divisible by 5 and 7 but also by 11. so they are not the right answer. 110 and 165 are both clearly not divisible by 7(not correct) 35 is both divisible by 5 and 7 but not by 11. answer : (35) 35
<result>B</result> | B | calc |
aqua_rat__h6nJXnP11OgUqBLE | Given positive even integer y, which of the following CANNOT be evenly divisible by y? Choose the correct choice:
A) y + 2
B) y + 8
C) 2y + 4
D) 3y − 1
E) 2y - 2 | This can be easily solved by substituting values: Assume y to be 2 A. y + 2: 4 is evenly divisible by 2 B. y + 8: 10 is evenly divisible by 2 C. 2y + 4: 8 is evenly divisible by 2 D. 3y − 1: 5 is not evenly divisible by 2 E. 2y + 2: 2 is evenly divisible by 2 Option 3y − 1
<result>D</result> | D | calc |
ape210k__00484884 | Give A's (1/5) to B. At this time, A and B are equal. It turns out that B is much less than A. | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5) - (1/5)</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">(2/5) / 1</gadget>
<output>2/5 = around 0.4</output>
<res... | 2/5 | calc |
aqua_rat__DESO8vuIymDv05IK | Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choose the correct choice
A) 6 B) 5 C) 6 D) 3 E) 2 | 9261 = 8000(21/20)N (21/20)3 = (21/20)N => N = 3 Answer:3
<result>D</result> | D | calc |
ape210k__00796837 | The area of a parallelogram is 280 square centimeters, the base is 56 centimeters, and the height is in centimeters. | <gadget id="calculator">280 / 56</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00478661 | A scarf is 26 yuan, and a pair of gloves is 8 yuan. After Xiaohua's mother bought a scarf for 50 yuan, she planned to use the remaining money to buy gloves. Do you know how many more pairs of gloves you can buy? | <gadget id="calculator">50 - 26</gadget>
<output>24</output>
<gadget id="calculator">24 / 8</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__f7IU8v9MP30EbuNL | Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ? Pick one.
A) 12 sec
B) 32 sec
C) 82 sec
D) 92 sec
E) 13 sec | Explanation: Given that, 1st train speed = 62 km/hr 2nd train speed = 44 km/hr Hence the relative speed of two trains is 62-44=
<gadget id="calculator"> 62-44</gadget>
<output>18</output>
18 km/hr m/s= 5 m/s. There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5... | B | calc |
ape210k__00170398 | The following forty-one numbers 55...□99...9 (5 and 9 each have 20) can be divisible by 7, so what is the number in the middle square? | <result>6</result> | 6 | calc |
ape210k__00158897 | In the right triangle ABC, the two right angle sides are AB and BC respectively, AB=4CM, BC=3CM, if the right angle triangle is rotated around the right angle side AB as the axis, what is the volume of the three-dimensional figure in cubic centimeters? | <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 * 4 * (1/3)</gadget>
<output>37.68</output>
<result>37.68</result> | 37.68 | calc |
ape210k__00508166 | A ship sails from Nanjing to a certain place, the whole journey is 154 kilometers, and the speed is 22 kilometers per hour. How many hours can it reach the destination? | <gadget id="calculator">154 / 22</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00444672 | A cylindrical billet with a base radius of 2 cm and a length of 8 cm is forged into a conical part with a base radius of 4 cm. Find the length of this conical part. | <gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4 * 8</gadget>
<output>100.48</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<outpu... | 6 | calc |
aqua_rat__I1aEhfNu49Frb3ZF | At the beginning of 2011, Company X created a list of n charities, and committed to donating 10% of its prots for the year to these charities, donating an equal amount to each charity. However, during the year, Company X removed a charities from this list, and donated 10% of its prot in equal amounts to each of the rem... | Sol: Let profit be "P" for n charities - each get p/n when a charities are removed - each get p/(n-a) increase will be (p/(n-a)) - (p/n) = pa/(n-a)*n Increase % will be (pa/(n-a)*n) / (p/n) multiplied by 100. result will be 100a/(n-a) ANSW100(n-a)/aR:100(n-a)/a
<result>E</result> | E | calc |
aqua_rat__SkOsViSWzAHkbAvY | Alice took out a charge account at the General Store and agreed to pay 3% simple annual interest. If she charges $40 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments? Choose the correct choice from the following options:
A) $41.20 B) $41.60 C)... | 1.03*$40=$41.20 The answer is $41.20.1.03* 40=
<gadget id="calculator">1.03* 40</gadget>
<output>41.2</output>
$41.20 The answer is $41.20.
<result>A</result> | A | calc |
aqua_rat__94PUwhq8zvaE0k4t | In the youth summer village there are 100 people, 50 of them are not working,25 of them have families and 75 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower? Choose the correct choice from th... | total =100 not working =50 having family=25 like to sing in shower = 75 working=100-50=
<gadget id="calculator">100-50</gadget>
<output>50</output>
50 not having family= 100-25=
<gadget id="calculator">100-25</gadget>
<output>75</output>
75 like to sing in shower= 75 largest possible number is the lowes... | D | calc |
ape210k__00627837 | There is a 6-story building with the same number of steps between every two floors. If there are 30 steps from the first floor to the third floor, how many steps did Xiao Ming take when he walked from the bottom floor to the top floor? | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">15 * 5</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
aqua_rat__rdarBaEYGvP6R4YR | If the sum of three consecutive even numbers is 30 more than the average of these numbers, then the largest of these numbers is? Choose the correct choice.
A) 20 B) 19 C) 18 D) 17 E) 16 | Explanation: Let the smallest of these number be x. The other two numbers are (x + 2) and (x + 4). x + (x + 2) + (x + 4) = (X + (X+2) + (x+4)) / 3 + 30 3x + 3*(x + 2) + 3*(x + 4) = x + (x + 2) + (x + 4) + 90 9x + 18 = 3x + 96 6x = 78 x = 13 Therefore, the largest number is 17. ANSWER 17
<result>D</resul... | D | calc |
ape210k__00266809 | Xiao Ming and Xiao Qiang played a number game, Xiao Ming chose a number x (between 0-9), and then said: "I am considering a three-digit number (the hundreds digit is allowed to be 0), and the hundreds digit of this three-digit number is x, the tens digit is 3, and it is divisible by 11, please find the unit digit of th... | <gadget id="calculator">1 - 0</gadget>
<output>1</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00825967 | A movie theater has 31 rows of seats, and each row can seat 35 people on average. How many people can it seat in total? | <gadget id="calculator">35 * 31</gadget>
<output>1_085</output>
<result>1_085</result> | 1_085 | calc |
math_qa__OM7nQ1oVsc6VxvXZ | Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely. Choose the most appropriate option
A) rs . 2522 B) rs . 2512 C) rs . 2572 D) rs . 2592 E) none | <gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 + (1/20)</gadget>
<output>21/20 = around 1.05</output>
<gadget id="calculator">(21/20) ** 3</gadget>
<output>9_261/8_000 = around 1.157625</output>
<gadge... | A | calc |
ape210k__00353439 | From A to B, Xiaohua walks 6 kilometers per hour and arrives in 25 hours. If it takes 3 hours by car, what is the speed of the car in km/h? | <gadget id="calculator">6 / 3</gadget>
<output>2</output>
<gadget id="calculator">25 * 2</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00351640 | To build a teaching building, the planned investment is 1.5 million yuan. The actual investment is 1/5 less than the planned investment. How much is the savings compared to the planned investment? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">150 * (1/5)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00699631 | If a piece of wood is sawed into 8 sections, the sawing fee will be 5.6 yuan. If it is sawed into 4 sections, how much will it cost? | <gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">5.6 / 7</gadget>
<output>0.8</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">0.8 * 3</gadget>
<output>2.4</output>
<result>2.4</result> | 2.4 | calc |
aqua_rat__KTtEpVGxxSgzYMGz | X does a work in 40 days. Y does the same work in 60 days. In how many days they together will do the same work? Answers.
A) 10 B) 12 C) 24 D) 30 E) 15 | X's 1day's work= 1/40 Y's 1 day's work=1/60 (X+Y)'s 1day's work= (1/40+1/60)=1/24 both together will finish the work in 24 days. correct option is 24
<result>C</result> | C | calc |
math_qa__PAZuD62VZWp9Dl1m | Apple Street begins at Peach Street and runs directly east for 3.2 kilometers until it ends when it meets Cherry Street. Apple Street is intersected every 200 meters by a perpendicular street, and each of those streets other than Peach Street and Cherry Street is given a number beginning at 1st Street (one block east o... | <gadget id="calculator">3.2 * 1_000</gadget>
<output>3_200</output>
<gadget id="calculator">3_200 / 200</gadget>
<output>16</output>
<gadget id="calculator">16 - 1</gadget>
<output>15</output>
<result>B</result> | B | calc |
ape210k__00337017 | Boai Primary School held a mathematics competition. After ranking the results, the average score of the top five students was 1 point less than the average score of the top three students. The average score of the top seven is 2 points less than the average score of the top five. How much more is the sum of the scores ... | <gadget id="calculator">7 - 1.5</gadget>
<output>5.5</output>
<gadget id="calculator">5.5 * 2</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__01084193 | The weight of a pig is equivalent to the weight of 2 sheep, the weight of a cow is equivalent to the weight of 3 pigs, and the weight of that cow is equivalent to the weight of how many sheep. | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00602675 | The time on the clock is 3:30, what is the angle formed by the hour and minute hands? | <gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">30 * 2</gadget>
<output>60</output>
<gadget id="calculator">15 + 60</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
aqua_rat__RQ5vePvNUPFOOnGr | The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 2500? Select
A) 7 B) 9 C) 11 D) 13 E) 15 | To maximize the length of z, we should minimize its prime base. The smallest prime is 2 and since 2^11 = 2048 < 2500, then the greatest possible length of integer z is 11. The answer is 11.
<result>C</result> | C | calc |
ape210k__00944199 | A total of 300 families lived in the newly built buildings in Dongfang Community. Each building has 5 floors, and each floor has 10 households. Do you know how many new buildings have been built? (answered in two different ways) | <gadget id="calculator">10 * 5</gadget>
<output>50</output>
<gadget id="calculator">300 / 50</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__01139957 | Uncle Wang and two colleagues went on a business trip from Xi’an to Beijing, and they took the high-speed rail with the same fare back and forth. Each ticket was 485 yuan. How much did their round-trip high-speed rail tickets cost in total? | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">485 * 6</gadget>
<output>2_910</output>
<result>2_910</result> | 2_910 | calc |
aqua_rat__02P4EoW2f8nrYgOF | Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter? Options.
A) 20 B) 25 C) 30 D) 35 E) 40 | For these type of questions, use the formula 7x/4 =[sum of ages] where x is the age of elder. 2)7x/3 = [sum of ages] whr x is the age of younger. Here peter is elder is 7x/4=35. Solve you get x= 20 20NSWER:20
<result>A</result> | A | calc |
ape210k__00715457 | When the little sloppy was calculating an addition problem, he mistakenly regarded the addend 37 as 73, and the calculation result was 373. What should be the correct calculation result. | <gadget id="calculator">373 - 73</gadget>
<output>300</output>
<gadget id="calculator">300 + 37</gadget>
<output>337</output>
<result>337</result> | 337 | calc |
ape210k__00567589 | Xiao Ao has 8 pinballs, and Xiao Lin has 3 times as many pinballs as Xiao Ao, one less. How many pin balls does Xiao Lin have? | <gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">24 - 1</gadget>
<output>23</output>
<result>23</result> | 23 | calc |
aqua_rat__dmNoLsIg8qOa3ocM | If q > a and L < a, which of the following cannot be true? Choose the correct choice from the following options.
A) d + L = 14 B) d - L = 7 C) d - L = 1 D) a - q = 9 E) a + d = 9 | Is the answer D? If q>a, then q-a>0 (always positive). The converse would be a-q<0 (always negative). Option a - q = 9 states that a-q=9, which can never be true.
<result>D</result> | D | calc |
ape210k__01224463 | There are 2,000 kilograms of salt water with a water content of 90%. After being exposed to the sun for a day, the water content is the original (8/9). How much is the weight of the salt water at this time? | <gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">1 - (9/10)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">2_000 * (1/10)</gadget>
<output>200</output>
<gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="c... | 1_800 | calc |
ape210k__00127663 | How many more 5s are in the tenths place than 5s in the percentile? | <gadget id="calculator">0.5 - 0.05</gadget>
<output>0.45</output>
<result>0.45</result> | 0.45 | calc |
aqua_rat__OL11Hxbqu96tC89x | A pizza is divided into 12 slices. If there are eight slices left, what fraction of the pizza is remaining? Answers.
A) 1/2 B) 1/3 C) 2/7 D) 2/3 E) none of the above | Ans is : D 2/3, Your child must reduce the fraction 8/12. 2/3ivide the numerator and denominator by four, which is 2/3.
<result>D</result> | D | calc |
math_qa__gPqAtaj4eVJdd26s | A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 200 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour? Choose the correct option: A) ... | <gadget id="calculator">15 * 2</gadget>
<output>30</output>
<gadget id="calculator">200 * 30</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 / 1_000</gadget>
<output>6</output>
<gadget id="calculator">15 / 10</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">6 / (3/2)</gadget>
<output... | D | calc |
ape210k__01162733 | In a triangle, the length of the first side is 6 cm, the length of the second side is 7 cm, and the length of the third side must be less than how many cm. | <gadget id="calculator">7 + 6</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
aqua_rat__2hs7pnrhskCjzePv | The average of 11 numbers is 30. If the average of first six numbers is 17.5 and that of last six is 42.5, then what is the sixth number?
Choose the most appropriate option: A) 30 B) 36 C) 45 D) 47 E) 43 | Given: Average of 11 numbers = 30 Step 1: Calculate total of 11 numbers by multiplying it by average value 30 = 11 x 30 = 330 Step 2: Calculate total of first six members by multiplying it by average value 17.5 = 17.5 x 6 = 105 Step 3: Calculate total of last six members by multiplying it by average value 42.5 = ... | A | calc |
ape210k__00486160 | There are two circles, big and small, and the difference in their radii is 2 cm. What is the difference in circumference of the two circles in cm? | <gadget id="calculator">2 * 3.14 * 2</gadget>
<output>12.56</output>
<result>12.56</result> | 12.56 | calc |
aqua_rat__JJlLbphkNTy8YSrm | Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made? Choose the correct option
A) 16.5 B) 12.5 C) 14.5 D) 12 E) 13 | et the quantities of A and B mixed be 3x kg and 7x kg. Cost of 3x kg of A = 9(3x) = Rs. 27x Cost of 7x kg of B = 15(7x) = Rs. 105x Cost of 10x kg of the mixture = 27x + 105x = Rs. 132x Cost of 5 kg of the mixture = 132x/10x (5) = Rs. 66 Profit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the ... | A | calc |
aqua_rat__okOMjQSqLrjlv8Gl | The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is Answers:
A) 9 years
B) 11 years
C) 14 years
D) 21 years
E) 25 years | Solution Age of the 15th student =[15x15-(14x5+16x9)] = (225 - 214)=
<gadget id="calculator">(225 - 214)</gadget>
<output>11</output>
11 years. Answer 11 years
<result>B</result> | B | calc |
math_qa__etFI7nj9it6xuTCf | How long will a boy take to run round a square field of side 30 meters, if he runs at the rate of 12km/hr? Choose the most appropriate option: A) 52 sec B) 45 sec C) 60 sec D) 25 sec E) 36 sec | <gadget id="calculator">30 * 4</gadget>
<output>120</output>
<gadget id="calculator">1_000 / 3_600</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">12 * (5/18)</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">120 / (10/3)</gadget>
<output>36</output>
<result>E</result... | E | calc |
aqua_rat__NMptjxgMIDi9EA8i | A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train? Choices: A) 356 B) 278 C) 300 D) 279 E) 150 | Speed = 60 * 5/18 = 50/3 m/sec Length of the train = speed * time = 50/3 * 18=
<gadget id="calculator">50/3 * 18</gadget>
<output>300</output>
300 m Answer: 300
<result>C</result> | C | calc |
ape210k__00008519 | pile of circular steel pipes are stacked together, and its cross-section is in the shape of an isosceles trapezoid. It is known that there are 8 steel pipes in the top layer and 13 steel pipes in the bottom layer, and the bottom layer is 1 more than the top layer. Find the total number of pipes in this pile. | <gadget id="calculator">8 + 13</gadget>
<output>21</output>
<gadget id="calculator">13 - 8</gadget>
<output>5</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">21 * 3</gadget>
<output>63</output>
<result>63</result> | 63 | calc |
aqua_rat__TqSzsaXNn2pYWd42 | For positive x and y if x/y is n% of y, then what percent must x be of y? Choices
A) (y × n)% B) (n/y)% C) (√n)% D) (n^2)% E) (100 – n)% | Solution - The statement x/y is n% of y means that: x/y = (n / 100) × y In order to find what percent must x be of y i.e., we need to divide x by y. x/y %=(n / 100) × y *100 ---->(y*n)% Therefore x/y is (y*n)% (y × n)%NSWER:(y × n)%
<result>A</result> | A | calc |
ape210k__00279171 | How many positive divisors of 480 are there? | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">6 * 2 * 2</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
aqua_rat__eQdbUa2oKgO8qxB4 | On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of... | the total number of employees = n the average salary = x total salary to all emplyoees = xn after the total number of employees = n - 0.1n = 0.9n the average salary = x + 10% of x = 1.1x total salary to all emplyoees = 0.9n (1.1x) total salary after as a % of total salary before E = [0.9n (1.1x)]/xn= 0.99... | B | calc |
ape210k__00215931 | Persons A, B, C, D, and E all scored an integer greater than 91 in a test with a full score of 100. If the average score of A, B, and C is 95 points; the average score of B, C, and D is 94; A is the first; E is the third with 96 points, ask how many points D got. | <result>97</result> | 97 | calc |
ape210k__00538261 | On a map, the distance between A and B is 8cm, but the actual distance is 960km. If the actual distance between C and D is 360km, how many centimeters is the distance between the two places measured on the map? | <gadget id="calculator">960 * 100_000</gadget>
<output>96_000_000</output>
<gadget id="calculator">8 / 96_000_000</gadget>
<output>1/12_000_000 = around 0</output>
<gadget id="calculator">360 * 100_000 * (1/12_000_000)</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00124560 | The store shipped 800 plastic boxes and sold them in the morning (1/4) and in the afternoon (2/5). How many fewer were sold in the morning than in the afternoon? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(2/5) - (1/4)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">800 * (3/20)</gadget>
<output>120</output>
<result>120</result... | 120 | calc |
ape210k__00689333 | Shehong is 174 kilometers away from Chengdu. Vehicles A and B leave opposite each other at the same time and meet each other 1.5 hours later. Car A travels 56 kilometers per hour, how many kilometers per hour does Car B travel? | <gadget id="calculator">174 / 1.5</gadget>
<output>116</output>
<gadget id="calculator">116 - 56</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00076680 | car travels from city A to city B. It takes 2 hours on the expressway at a speed of 90 km/h. On the way back, it takes 3 hours on an ordinary road at a speed of 70 km/h. How many kilometers more than walking at high speed. | <gadget id="calculator">70 * 3</gadget>
<output>210</output>
<gadget id="calculator">90 * 2</gadget>
<output>180</output>
<gadget id="calculator">210 - 180</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__zmh8G1jTSxHB6Wui | Evaluate the expression
m - (m - n) : (-2) ⋅ (-5) when m = -4, n = -6 Select the correct option.
A) 8 B) 9 C) 5 D) 7 E) 6 | Solution: m - (m - n) : (-2) ⋅ (-5) = (-4) - [-4 - (-6)] : (-2) ⋅ (-5) = -4 - 2 : (-2) ⋅ (-5) = -4 - (-1) ⋅ (-5) = -4 - (+5) = -9 Answer 9
<result>B</result> | B | calc |
math_qa__o2XcOUEYzk2V9f8L | The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 5 kmph, what time will he take to cover 60 metres? Pick one: A) 16 seconds B) 76 seconds C) 10.8 seconds D) 12 seconds E) 18 seconds | <gadget id="calculator">15 + 5</gadget>
<output>20</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">20 * (5/18)</gadget>
<output>50/9 = around 5.555556</output>
<gadget id="calculator">60 / (50/9)</gadget>
<output>54/5 = around 10.8</output>
<result>C... | C | calc |
aqua_rat__NU5gAWLCKjWyFP1p | In 1 hour, a boat goes 6 km along the stream and 12 km against the stream. The speed of the boat in still water (in km/hr) is : Pick:
A) 3 km/hr.
B) 2 km/hr.
C) 6 km/hr.
D) 8 km/hr.
E) 9 km/hr. | Speed in still water = 1/2(6 + 12) km/hr = 9 km/hr. ANSW9 km/hr.R :9 km/hr.
<result>E</result> | E | calc |
gsm8k__BPOvIvbUu705Q4EM | The lunchroom is full of students: 40% are girls and the remainder are boys. There are 2 monitors for every 15 students. There are 8 monitors. Every boy drinks, on average, 1 carton of milk, and every girl drinks, on average, 2 cartons of milk. How many total cartons of milk are consumed by the students in the lunchroo... | There is 1 monitor for every fifteen students because 30 / 2 =
<gadget id="calculator">30/2</gadget>
<output>15</output>
15.
There are 120 students because 8 x 15 =
<gadget id="calculator">8*15</gadget>
<output>120</output>
120
60% of the lunchroom is boys because 100 - 40 =
<gadget id="calculator">100-40</gadget>
<... | 168 | calc |
ape210k__00798439 | Wang Ming's height this year is 147cm, which is 7cm higher than last year's. How much has Wang Ming's height increased compared to last year? | <gadget id="calculator">147 - 7</gadget>
<output>140</output>
<gadget id="calculator">7 / 140</gadget>
<output>1/20 = around 0.05</output>
<result>1/20 = around 0.05</result> | 1/20 | calc |
ape210k__01133835 | When a bus departs, there are 72 passengers on board. Arrived at a station, the male passenger got off (1/8); the female passenger not only did not get off, but 3 people came up. At this time, the number of male and female passengers is exactly equal. How many male and female passengers are there on the bus? | <gadget id="calculator">72 + 3</gadget>
<output>75</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 - (1/8)</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">1 + (7/8)</gadget>
<output>15/8 = around 1.875</output>
<gadget id="calculator... | 35 | calc |
ape210k__00195804 | Given that 300=2*2*3*5*5, how many different divisors are there in total for 300? | <gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">3 * 2 * 3</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__Q1EaXe8LHGkfyFHm | A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 3, and the fifth digit is 4 times the sixth. How many different credit card numbers are possible?
Choices.
A) 12
B) 15
C) 18
D) 24
E) 36 | The first two digits are fixed. The third digit can be 7, 8, or 9 so there are 3 choices. The fourth digit can be 3, 6, or 9 so there are 3 choices. The fifth digit depends entirely on the sixth digit. The sixth digit can be 1 or 2 so there are 2 choices. The number of possibilities is 3*3*2=
<gadget id="ca... | C | calc |
ape210k__00626525 | The school bought back 200 balls, of which table tennis balls accounted for (3/5), and the number of badminton balls was table tennis balls (5/8), how many badminton balls were bought back? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">200 * (3/5) * (5/8)</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__00307725 | A batch of apples is shipped from the fruit shop, and after selling (2/5), there are still 450 kilograms left. How many kilograms of apples are there in the fruit shop? | <gadget id="calculator">2 / 5</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">450 / (3/5)</gadget>
<output>750</output>
<result>750</result> | 750 | calc |
aqua_rat__nDuB6Jqe75aXeVtB | In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 63 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp? Choose the correct answer
A) 70 B) 450 C) 150 D) 35 E) 350 | Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7=
<gadget id="calculator">0.2*0.7</gadget>
<output>0.14</output>
0.14, or 14% of the boys in the camp are from school A and do not study sc... | B | calc |
ape210k__01123225 | There are 8 packs of towels in a box, 25 in each pack, including 88 white towels, and the rest are floral towels. How many floral towels are there? | <gadget id="calculator">8 * 25</gadget>
<output>200</output>
<gadget id="calculator">200 - 88</gadget>
<output>112</output>
<result>112</result> | 112 | calc |
ape210k__01132697 | What is the perimeter of a square with side length 5 decimeters? | <gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">20 / 10</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__vejXJxsGSfmUOa2u | From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
Choose the most appropriate option.
A) 126
B) 138
C) 185
D) 198
E) 200 | The committee of 4 persons is to be so formed that it has at least 2 men. The different ways that we can choose to form such a committee are: (i) 2m. 2w in 6C2 x 4 C1=6X5 - 2X1 X 3X3 2X1 =n an (ii) 3m. 1w in 6C3 x 4C1 =6X5X4 3X2X1 X4 _n - a '''' (iii) 4m in 6C4 -2x1 = 15 Total no. of different ways in which a commi... | C | calc |
ape210k__01121253 | Xiao Ming's father deposits 5,000 yuan in the bank for a fixed period of two years, with an annual interest rate of 3.75%. How much yuan should be withdrawn from the bank after maturity? | <gadget id="calculator">3.75 / 100</gadget>
<output>0.0375</output>
<gadget id="calculator">5_000 * 0.0375 * 2</gadget>
<output>375</output>
<gadget id="calculator">375 + 5_000</gadget>
<output>5_375</output>
<result>5_375</result> | 5_375 | calc |
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