id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00243190 | On a map with a scale of 1:8000000, the distance between A and B is 15cm. Cars A and B start at the same time and drive opposite each other. It is known that the speed of car A is 70 kilometers per hour, and the speed of car B is 50 kilometers per hour. After several hours meet? | <gadget id="calculator">1 / 8_000_000</gadget>
<output>1/8_000_000 = around 0</output>
<gadget id="calculator">70 + 50</gadget>
<output>120</output>
<gadget id="calculator">15 / (1/8_000_000) / 100_000 / 120</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
aqua_rat__F7lAnDvhW4pPw6UR | 3, 12, 7, 26, 15, ?
Choose the most appropriate option:
A) 34
B) 44
C) 54
D) 64
E) 74 | 3, ,7, ,15 (3*2)+1=
<gadget id="calculator">(3*2)+1</gadget>
<output>7</output>
7 (7*2)+1=
<gadget id="calculator">(7*2)+1</gadget>
<output>15</output>
15 12, ,26, ,? (12*2)+2=
<gadget id="calculator"> (12*2)+2</gadget>
<output>26</output>
26 (26*2)+2=
<gadget id="calculator">(26*2)+2</gadget>
<output>54... | C | calc |
ape210k__00211974 | The length of a part measured on the (1/10) drawing is 2 cm. What is the actual length of this part in meters? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">2 / (1/10)</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
math_qa__WTJsB5LUvRzaVLAM | Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 15 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Select the correct option.
A) 78 B) 60 C) 26 D) 23 E) 12 | <gadget id="calculator">45 + 15</gadget>
<output>60</output>
<result>B</result> | B | calc |
ape210k__01159881 | A total of 720 cups, 4 in a box, 6 boxes in a carton. How many boxes can it hold? | <gadget id="calculator">720 / 4 / 6</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__01010049 | In response to the call of "Energy saving and emission reduction, start from me", Aunt Zhang collected the water for washing hands, bathing, laundry, vegetables and clean dishes, washing rags, cleaning floors and flushing toilets. According to statistics, she saved a total of 0.56 tons of water a week. According to thi... | <gadget id="calculator">0.56 / 7</gadget>
<output>0.08</output>
<gadget id="calculator">1 / 31</gadget>
<output>1/31 = around 0.032258</output>
<gadget id="calculator">0.08 / (1/31)</gadget>
<output>2.48</output>
<result>2.48</result> | 2.48 | calc |
mawps__dsSsf2aVd05Wq1Ml | Boyd had 21 orange. Doris supplyed him some more. Now Boyd has 47 orange. How many did Doris supply him? | <gadget id="calculator">47 - 21</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
aqua_rat__nfK1u4qD3UXRPGgX | In a group of cows and chickes, the number of legs was 14 more than twice the number of heads . the number of cows was: Choose the correct option:
A) 7 B) 5 C) 11 D) 12 E) 14 | no of cows x and their legs 4x, no of chicke y and their legs 2y, total no of legs= 4x + 2y, total nof heads = x + y, the no of legs was 14 mor than twice the number of heads. 2x + 2y +14 = 4x + 2y, 14= 4x-2x+ 2y -2y, therefore, 14 = 2x , x = 7, correct answer : (7)
<result>A</result> | A | calc |
ape210k__00477559 | There are 350 peach trees in the orchard, 50 fewer than twice as many pear trees. How many pear trees are there? | <gadget id="calculator">350 + 50</gadget>
<output>400</output>
<gadget id="calculator">400 / 2</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00385783 | Dig a canal 1,800 meters long and complete 840 meters in 7 days. At this speed, how many days will it take to complete the project? (Answer with proportional knowledge) | <gadget id="calculator">840 / 7</gadget>
<output>120</output>
<gadget id="calculator">1_800 / 120</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00101535 | On a balance, put a box of glass balls on one side, (1/4) box of glass balls and nine weights of 50 grams on the other side. The balance is balanced. How much does a box of glass balls weigh? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">9 / (3/4)</gadget>
<output>12</output>
<gadget id="calculator">50 * 12</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
ape210k__00628795 | Drink half of a glass of beverage, and then add (3/4)L to the bottle, and the beverage in the bottle is now less than (1/12)L, how many liters does this bottle of beverage originally have? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(3/4) + (1/12)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<g... | 5/3 | calc |
ape210k__00439345 | The distance between A and B is 960 kilometers, and it takes 12 hours for a train to travel from A to B. This train travels from point B to point C at the same speed, and it takes 15 hours. How many kilometers is the distance between point B and point C? | <gadget id="calculator">960 / 12</gadget>
<output>80</output>
<gadget id="calculator">80 * 15</gadget>
<output>1_200</output>
<result>1_200</result> | 1_200 | calc |
math_qa__jAqFLWQA4EblA1G7 | There are 50 students in a class. If 12% are absent on a particular day, find the number of students present in the class. Choose the correct option:
A) 43 B) 36 C) 28 D) 129 E) 44 | <gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">1 - (3/25)</gadget>
<output>22/25 = around 0.88</output>
<gadget id="calculator">(22/25) * 50</gadget>
<output>44</output>
<result>E</result> | E | calc |
ape210k__00196221 | The minuend is 781, the difference is 256, what is the subtrahend | <gadget id="calculator">781 - 256</gadget>
<output>525</output>
<result>525</result> | 525 | calc |
ape210k__01006509 | Liu Hua has to do three things: wash clothes for 20 minutes, listen to music for 20 minutes, and do homework for 15 minutes. How many minutes do you think Liu Hua should spend at least? | <gadget id="calculator">20 + 15</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__00614120 | 2.45*16 can be converted into 245*16, and after calculation, the resulting product is reduced to its size. | <result>100</result> | 100 | calc |
ape210k__00379541 | A schoolbag is 64 yuan, the price of a pencil case is (1/4) of a schoolbag, and the price of a pen is (1/2) of a pencil case. How much is a pen? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">64 * (1/4) * (1/2)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__Aaly61v6jy4RZSQj | How much time will it take for an amount of 450 to yield 81 as interest at 4.5% per annum of simple interest? Choose the correct answer.
A) 5 years B) 8 years C) 2 years D) 4 years E) 9 years | 4 years 4 years Time = (100 x 81)/(450 x 4.5) years = 4 years.
<result>D</result> | D | calc |
ape210k__00115812 | Find the angle whose complement and its complement add up to 100°. | <gadget id="calculator">180 - 100</gadget>
<output>80</output>
<gadget id="calculator">90 + 80</gadget>
<output>170</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">170 / 2</gadget>
<output>85</output>
<result>85</result> | 85 | calc |
ape210k__00395589 | The average of the three numbers A, B, and C is 2.4, and the ratio of the three numbers A, B, and C is 2:1:3. What is the number of A? | <gadget id="calculator">1 + 2 + 3</gadget>
<output>6</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2.4 * 3 * (1/3)</gadget>
<output>2.4</output>
<result>2.4</result> | 2.4 | calc |
ape210k__00061741 | A cylinder and a cone have the same base area and the same height. It is known that the sum of their volumes is 48 cubic decimeters. What is the volume of the cylinder? | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00036603 | The page number of a novel must use 2511 numbers when typesetting. How many pages does this book have? | <gadget id="calculator">2 * 90</gadget>
<output>180</output>
<gadget id="calculator">2_511 - 9 - 180</gadget>
<output>2_322</output>
<gadget id="calculator">2_322 / 3</gadget>
<output>774</output>
<gadget id="calculator">774 + 90 + 9</gadget>
<output>873</output>
<result>873</result> | 873 | calc |
ape210k__00179419 | The perimeter of the rectangle is 24cm, the width is 4cm, what is the length in cm | <gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">12 - 4</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__C8E5a0Qfv4rRP8lP | A certain bakery baked a batch of 450 cookies one day. Of those, 320 contained nuts, 230 contained chocolate chips, and 85 contained neither nuts nor chocolate chips. What is the fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that batch so that cookies with both nuts... | Cookies which have both nuts and chocolate chips = 185 Let fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that batch so that cookies with both nuts and chocolate chips represented more than 3/5 of all the cookies in the batch = x (185+x)/(450+x) = 6/10 =>1... | B | calc |
math_qa__qYtE1MzW1PocDU8A | A certain quantity is measured on two different scales, the P-scale and the S-scale, that are related linearly. Measurements on the P-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the P-scale corresponds to a measurement of 100 on the S-scale?
Choose the cor... | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">70 / 30</gadget>
<output>7/3 = around 2.333333</output>
<gadget id="calculator">24 - 6</gadget>
<output>18</output>
<gadget id="calculator">(7/3) * 18</gadget>
<output>42</output>
<gadget id="calculator">42 + 6</gadget>
<output>48... | C | calc |
aqua_rat__nOTdzYjEeoaiEAqj | If m = 3^n, what is the greatest value of n for which m is a factor of 19!
Choose the correct choice from the following options:
A) 8 B) 10 C) 12 D) 14 E) 16 | Solution- Consider multiples of 25!=> 3,6,9,12,15,18 Count no. of 3 in each multiple. 3=3x1->1 6=3x2->1 9=3x3->2 12=3x4->1 15=3x5->1 18=3x3x2->2 ---- count 3's =8 so answer is 8 8nswer : 8
<result>A</result> | A | calc |
aqua_rat__GuOv9kQHE1plvUF7 | A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Choices: A) 2.29 B) 2.88 C) 2.2 D) 2.12 E) 2.25 | M = 6 S = 1.2 DS = 6 + 1.2=
<gadget id="calculator">6 + 1.2</gadget>
<output>7.2</output>
7.2 US= 6 - 1.2=
<gadget id="calculator">6 - 1.2</gadget>
<output>4.8</output>
4.8 x/7.2 + x/4.8= 1 x = 2.88 Answer: 2.88
<result>B</result> | B | calc |
ape210k__00198430 | 2222*17+3333*4+6666*9=how much. | <gadget id="calculator">2_222 * 17</gadget>
<output>37_774</output>
<gadget id="calculator">3_333 * 4</gadget>
<output>13_332</output>
<gadget id="calculator">6_666 * 9</gadget>
<output>59_994</output>
<gadget id="calculator">37_774 + 13_332 + 59_994</gadget>
<output>111_100</output>
<result>111_100</result> | 111_100 | calc |
aqua_rat__usq1XXv3ImGRUNSQ | If the average of 744, 745, 747, 748, 749, 752, 752, 753, 755 and x is 750, what is the value of x? Choose the correct choice from the following options: A) 750 B) 752 C) 754 D) 755 E) 756 | Sum of the deviations of the numbers in the set from the mean is always zero 744, 745, 747, 748, 749, 752, 752, 753, 755 mean is 750 so the list is -6-5-3-2-1+2+2+3+5... this shud total to zero but this is -5 , hence we need a number that is 5 more than the mean to get a +5 and make it zero hence the answer i... | D | calc |
ape210k__00486822 | A cuboid model, the sum of the lengths of all sides is 144 cm, and the ratio of length, width and height is 4:3:2, what is the volume of this cuboid. | <gadget id="calculator">144 / 4</gadget>
<output>36</output>
<gadget id="calculator">4 + 3 + 2</gadget>
<output>9</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">36 * (4/9)</gadget>
<output>16</output>
<gadget id="calculator">3 / 9</gadget>
<output>1/3 ... | 1_536 | calc |
ape210k__00634531 | After the little swallow hatched, the big swallow fed a total of 910 pests to one little swallow in 26 days. How many pests were fed on average every day? | <gadget id="calculator">910 / 26</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__00371643 | A fraction is estimated once with 2, twice with 3, once with 5, and finally it is five-sevenths. What is the original score? | <gadget id="calculator">5 / 7</gadget>
<output>5/7 = around 0.714286</output>
<result>5/7 = around 0.714286</result> | 5/7 | calc |
ape210k__00354473 | A cube container filled with water has a side length of 20 cm. Now put 10 eggs (submerged), and the water level rises by 1 cm. What is the volume of an egg? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">20 * 20 * (1/10)</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
gsm8k__KUHAnWrquagQ4P7r | Ryan has 30 stickers. Steven has thrice as many stickers as Ryan. Terry has 20 more stickers than Steven. How many stickers do they have altogether? | Steven has 3 x 30 =
<gadget id="calculator">3*30</gadget>
<output>90</output>
90 stickers.
And, Terry has 90 + 20 =
<gadget id="calculator">90+20</gadget>
<output>110</output>
110 stickers.
Therefore, they have 30 +90 + 110 =
<gadget id="calculator">30+90+110</gadget>
<output>230</output>
230 stickers altogether.
<... | 230 | calc |
aqua_rat__ozi2He1nOCJh0UWY | A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is ? Choose one:
A) 7/17
B) 7/22
C) 7/18
D) 7/19
E) 7/15 | Drawing two balls of same color from seven green balls can be done in ⁷C₂ ways. Similarly from eight white balls two can be drawn in ⁸C₂ ways. P = 7C2/¹15C2 + 8C2/15C2 = 7/15 Answer: 7/15
<result>E</result> | E | calc |
ape210k__00282713 | The school assigns some books to students in grade five and grade six according to the ratio of 5:9. It is known that grade six gets 160 more books than grade five, so how many books are there in total? | <result>640</result> | 640 | calc |
ape210k__00596657 | A number is 1 more than the largest 6-digit number, what is the number? | <gadget id="calculator">999_999 + 1</gadget>
<output>1_000_000</output>
<result>1_000_000</result> | 1_000_000 | calc |
ape210k__00695009 | The qualification rate of an electronic product is 96%. If a batch of 1600 products is produced, how many unqualified products are there? | <gadget id="calculator">96 / 100</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">1_600 * (24/25)</gadget>
<output>1_536</output>
<gadget id="calculator">1_600 - 1_536</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
math_qa__cfq580Xz44wwStg0 | When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.2 centimeter. The actual diameter of the tissue, in centimeters, is Select the correct option.
A) 0.005 B) 0.002 C) 0.001 D) 0.0005 E) 0.0002 | <gadget id="calculator">0.2 / 1_000</gadget>
<output>0.0002</output>
<result>E</result> | E | calc |
ape210k__00061609 | The mass of a sheep is 58 kg, and the mass of a cow is 20 kg more than 9 times the mass of the sheep. What is the mass of the cow in kg? | <gadget id="calculator">58 * 9</gadget>
<output>522</output>
<gadget id="calculator">522 + 20</gadget>
<output>542</output>
<result>542</result> | 542 | calc |
ape210k__00023989 | In a pool, there is a water inlet pipe and a drain pipe. Open the water inlet pipe alone for 30 minutes to fill the pool, and open the drain pipe for 50 minutes to drain all the water in the pool. How many minutes will it take to fill the pool if both pipes are on? | <gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">1 / 50</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">(1/30) - (1/50)</gadget>
<output>1/75 = around 0.013333</output>
<gadget id="calculator">1 / (1/75)</gadget>
<output>75</output>
<result... | 75 | calc |
ape210k__00139666 | Cut a cuboid block with a square cross section into the largest cone. It is known that the circumference of the cone is 12.56 cm and the height is 5 cm. What is the volume of the cuboid? | <gadget id="calculator">12.56 / 3.14</gadget>
<output>4</output>
<gadget id="calculator">4 * 4 * 5</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00497475 | A comic book is 3.6 yuan, a story book is 4.2 yuan. Xiao Ming bought one copy each and paid 10 yuan. How much should I get back? | <gadget id="calculator">3.6 + 4.2</gadget>
<output>7.8</output>
<gadget id="calculator">10 - 7.8</gadget>
<output>2.2</output>
<result>2.2</result> | 2.2 | calc |
aqua_rat__AsTvrSJc32R9Ljof | There are 50 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played? Choose the correct choice:
A) 1000 B) 3000 C) 1225 D) 6000 E) 9000 | 50 players are there. two players play one game with one another. so 5012252=50*49/2=
<gadget id="calculator">50*49/2</gadget>
<output>1_225</output>
1225 SO OPTION 1225 is correct
<result>C</result> | C | calc |
ape210k__00364586 | A rectangular piece of paper is folded into thirds to form a square with a perimeter of 20 cm. So what is the perimeter of the original rectangle in cm? | <gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">5 + 15</gadget>
<output>20</output>
<gadget id="calculator">20 * 2</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__Vu7CYrRhTIKLY04V | 3/5 of all married couples have more than one child. 1/2 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
Options
A) 1/5 B) 1/10 C) 7/20 D) 3/5 E) It cannot be determined from the given information. | Plug in simple numbers. Take 100 couples for example. 3/5 of 100 couples have more than one child = 60 couples. 1/2 of 100 couples have more than 3 kids = 50 couples. This implies that 50 couples are a subset of 60 couples and the complement of 60 couples within those 100 couples, which equals 40 couples have eit... | B | calc |
ape210k__00639779 | When the Chang'e-3 satellite first entered orbit, its flying speed was about 7 kilometers per second. At this speed, how many kilometers can it fly in 2 minutes? | <gadget id="calculator">2 * 60</gadget>
<output>120</output>
<gadget id="calculator">7 * 120</gadget>
<output>840</output>
<result>840</result> | 840 | calc |
ape210k__00342833 | 38.4*187-15.4*384+3.3*16= | <gadget id="calculator">38.4 * 187</gadget>
<output>7_180.8</output>
<gadget id="calculator">15.4 * 384</gadget>
<output>5_913.6</output>
<gadget id="calculator">7_180.8 - 5_913.6</gadget>
<output>1_267.2</output>
<gadget id="calculator">3.3 * 16</gadget>
<output>52.8</output>
<gadget id="calculator">1_267.2 + 52.8... | 1_320 | calc |
aqua_rat__obFeyptEm0rFCnGl | In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 2, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room? Choices.
A) 600 B) 1200 C) 1500 ... | Sugar:Flour = 5:2 = 25:10; Flour:Soda = 10:1 = 10:1; Thus we have that Sugar:Flour:Soda = 25x:10x:1x. Also given that 10x/(1x+60) = 8/1 --> x=240 --> Sugar = 25x = 6000 Answer: 6000.
<result>E</result> | E | calc |
aqua_rat__4PX370s5ToetDvww | The first three terms of a proportion are 3, 9 and 12. The fourth term is? Answers: A) 22 B) 28 C) 27 D) 36 E) 88 | (9*12)/3=
<gadget id="calculator">(9*12)/3</gadget>
<output>36</output>
36 Answer:36
<result>D</result> | D | calc |
ape210k__00896787 | The master and the apprentice make a batch of parts together, the master makes 80 parts per hour, and the apprentice makes 60 parts per hour. After 12 hours to complete. How many parts are there in total? | <gadget id="calculator">80 + 60</gadget>
<output>140</output>
<gadget id="calculator">140 * 12</gadget>
<output>1_680</output>
<result>1_680</result> | 1_680 | calc |
aqua_rat__NXrkx7iQgSAwgBah | Mahesh can do a piece of work in 30days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work? Options
A) 90 B) 25 C) 37 D) 41 E) 30 | Work done by Mahesh in 30days = 20*1/30 = 2/3 Remaining work = 1 - 2/3 = 1/3 1/3 work is done by Rajesh in 30days Whole work will be done by Rajesh is 30*3=
<gadget id="calculator"> 30*3</gadget>
<output>90</output>
90days 90nswer is 90
<result>A</result> | A | calc |
aqua_rat__MpiGw1TO81OR4nJ5 | Working alone, A can complete a certain kind of job in 3 hours. A and D, working together at their respective rates, can complete one of these jobs in 2 hours. In how many hours can D, working alone, complete one of these jobs? Pick: A) 2 B) 4 C) 6 D) 8 E) 10 | Let total time taken by D to complete the job = D total time taken by A to complete the job = 3 Work done by A in an hour 1/A = 1/3 Working together A and D can complete the job in 2 hours 1/A + 1/D = 1/2 =>1/D = 1/2 - 1/A = 1/2- 1/3 = 1/6 => D = 6 hours Answer 6
<result>C</result> | C | calc |
math_qa__KvCrlzYgLqON14f0 | Working alone, pump A can empty a pool in 6 hours. Working alone, pump B can empty the same pool in 9 hours. Working together, how many minutes will it take pump A and pump B to empty the pool? Choose the most appropriate option: A) 192 B) 200 C) 208 D) 216 E) 224 | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">(1/6) + (1/9)</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">1 / (5/18)</gadget>
<output>18/5 = around 3.6</out... | D | calc |
aqua_rat__QE81buPxMS147ifl | If the average of 16x and 8y is greater than 80, and x is twice y, what is the least integer value of x ? Choose the correct choice.
A) 8 B) 9 C) 10 D) 11 E) 12 | Substitution can be used in the following way: Always start with the equation: x = 2y. It is more straight forward to manage as compared to the inequality. Substitute y = x/2, not the other way because you need to find the minimum value of x. So you can get rid of y. Now go on to the inequality. So 8y = 8x/2 = 4x... | A | calc |
ape210k__00869043 | A 2-meter-long cylindrical wooden bar is sawn into three average sections, and the surface area increases by 12 square decimeters. What is the volume of each section of this cylindrical wooden bar in cubic meters? | <gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(3/100) * (2/3)</gadget>
<output>1/50 = around 0.02</output>
<result>1/50 = a... | 1/50 | calc |
ape210k__00182827 | The only day in a month where Wednesdays are more than Tuesdays is how many years this has happened (Note: May 12, 2013 is a Sunday) | <result>2_012</result> | 2_012 | calc |
aqua_rat__MHY7ontxDBbTO0Y3 | Sarah is driving to the airport. After driving at 50 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. She then travels 100 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. How many miles did she d... | After driving at 50 miles per hourfor one hour, this distance left to cover is d-50. Say this distance is x miles. Now, we know that the difference in time between covering this distance at 50 miles per hour and 100 miles per hour is 1+ 1/2 = 3/2 hours. So, we have that x/50 - x/100 = 3/2 --> 2x/100 - x/100 = 3/... | C | calc |
ape210k__00481489 | 5 times of a number is 95, find this number, what is the column formula | <gadget id="calculator">95 / 5</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
ape210k__00510475 | The machine factory produced 250 machine tools in the first quarter, and produced 20 more machines in the second quarter than in the first quarter. What percentage of the machine tools produced in the second quarter was the first quarter? | <gadget id="calculator">250 + 20</gadget>
<output>270</output>
<gadget id="calculator">270 / 250</gadget>
<output>27/25 = around 1.08</output>
<result>27/25 = around 1.08</result> | 27/25 | calc |
aqua_rat__YXP5I6PdfbWlniLO | 15 people entered a theater before Sujit. 7 people entered the theater between Sujit and Suraj and 20 people entered the theater after Suraj.
How many people are there in the theater?
Choose the correct choice from the following answers.
A) 28 B) 36 C) 44 D) 40 E) Cannot be determined. | Explanation: If Sujit entered before Suraj then the number of people will be 15 + 1(Sujit) + 7 + 1(Suraj) + 20 = 44. If Suraj entered before Sujit then number of people will be 7 + 1(Suraj) + 7 + 1(Sujit) + 12 = 28. So, the number of people in the theater cannot be determined. ANSWCannot be determined.R IS Cann... | E | calc |
ape210k__00558247 | The production team processed a batch of parts, 720 pieces were processed in 6 days, and the task was completed after another 15 days at this speed. How many parts are there in total? | <gadget id="calculator">720 / 6</gadget>
<output>120</output>
<gadget id="calculator">120 * 15</gadget>
<output>1_800</output>
<gadget id="calculator">1_800 + 720</gadget>
<output>2_520</output>
<result>2_520</result> | 2_520 | calc |
aqua_rat__I8HrFDIXJ6UQCGLf | If an amount of Rs 42,900 is distributed equally
amongst 22 persons, how much amount would each
person get? Select.
A) Rs 1950 B) Rs 2000 C) Rs 745 D) Rs 765 E) None | Required amount =42900/22=
<gadget id="calculator">42900/22</gadget>
<output>1_950</output>
Rs 1950 Rs 1950nswer Rs 1950
<result>A</result> | A | calc |
aqua_rat__3GEVJYJYEbTJMWrI | Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 12.1 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were prese... | let say the factor is x, the at 7PM quantity = 10 (i.e. quantity @1PM)* x^2 =12.1 => x^2 =1.21 or x = 1.1 => @4PM quantity = 10x =10*1.1=
<gadget id="calculator">10*1.1</gadget>
<output>11</output>
11. Answer 11.0
<result>E</result> | E | calc |
ape210k__00901779 | A rectangular vegetable field is 42 meters long and 19 meters wide. What is the circumference of this vegetable field? | <gadget id="calculator">42 + 19</gadget>
<output>61</output>
<gadget id="calculator">61 * 2</gadget>
<output>122</output>
<result>122</result> | 122 | calc |
math_qa__cWivOZnu3h4Ayeuy | The average height of 40 girls out of a class of 50 is 169 cm. and that of the remaining girls is 167 cm. The average height of the whole class is : Choose the correct choice from the following answers
A) 138.9 cms
B) 149.2 cms
C) 168.6 cms
D) 159.2 cms
E) 142.5 cms | <gadget id="calculator">169 * 40</gadget>
<output>6_760</output>
<gadget id="calculator">167 * 10</gadget>
<output>1_670</output>
<gadget id="calculator">6_760 + 1_670</gadget>
<output>8_430</output>
<gadget id="calculator">8_430 / 50</gadget>
<output>843/5 = around 168.6</output>
<result>C</result> | C | calc |
ape210k__00069163 | ɑ is a natural number not equal to 0, the following three formulas, the largest value is ɑ/how much | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(3/5) / (4/5)</gadget>
<output>3/4 = around 0.75</output>
<result>3/4 = around 0.75</result> | 3/4 | calc |
ape210k__00304776 | The original price of a suit is 400 yuan. After the first 20% discount, the price has been reduced by 50%. How much is the current price? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">400 * (4/5) * (1/2)</gadget>
<output>160</output>
<result>160</... | 160 | calc |
ape210k__00342560 | Xiaojun reads a story book and has read 84 pages. The number of remaining pages is twice that of what has been read. If you want to finish reading the remaining pages within 8 days, how many pages do you read on average per day? | <gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">84 * (1/4)</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00029594 | A rectangular parallelepiped swimming pool is 50m long, 20m wide, and 2m deep. A layer of cement needs to be applied around and on the bottom of the pool. It needs 3 kilograms of cement per square meter. How much cement is needed? | <gadget id="calculator">50 * 20</gadget>
<output>1_000</output>
<gadget id="calculator">50 * 2</gadget>
<output>100</output>
<gadget id="calculator">20 * 2</gadget>
<output>40</output>
<gadget id="calculator">100 + 40</gadget>
<output>140</output>
<gadget id="calculator">140 * 2</gadget>
<output>280</output>
<gadg... | 3_840 | calc |
ape210k__00212665 | Fill the prime numbers within 20 into □, (each prime number is only used once) A=((□+□+□+□+□+□+□)/(□)), to make A an integer, A What is the maximum. | <gadget id="calculator">70 / 7</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00380451 | How much is greater than (1/3). | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00300678 | In order to support the disaster area, a factory plans to produce 200 boxes of supplies, but actually exceeds production by 50 boxes. How much is the overproduction? | <gadget id="calculator">50 / 200</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00668431 | Li Yang turned 14 in February 2013. When was he born? | <gadget id="calculator">2_013 - 14</gadget>
<output>1_999</output>
<result>1_999</result> | 1_999 | calc |
ape210k__00310202 | Two cars, A and B, drive from two places 630 kilometers apart at the same time, and they meet after 4.2 hours. It is known that car B travels 70 kilometers per hour, how many kilometers per hour does car A travel? | <gadget id="calculator">630 / 4.2</gadget>
<output>150</output>
<gadget id="calculator">150 - 70</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00214321 | On a map, the distance between Beijing and Shanghai is 2.7 cm. The scale of this map is (1:50000000). What is the actual distance between Beijing and Shanghai in kilometers? | <gadget id="calculator">1 / 50_000_000</gadget>
<output>1/50_000_000 = around 0</output>
<gadget id="calculator">2.7 / (1/50_000_000) / 100_000</gadget>
<output>1_350</output>
<result>1_350</result> | 1_350 | calc |
ape210k__00787633 | Uncle Wang bought back a case of beer, 12 bottles in total, and the shop stipulated that 7 empty bottles could be exchanged for 3 bottles of beer. Calculate how many bottles of beer Uncle Wang can drink at most? | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">12 + 6 + 3</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
aqua_rat__743yJM5FHTCz6t6i | 8 points are marked on a straight line and another 9 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points? Choose the correct choice:
A) 91 B) 105 C) 196 D) 20 E) 14 | assuming that the top line can have either 2 points or 1 point... 8! / 1!7! - 8! / 2! 6! yields 20. 20
<result>D</result> | D | calc |
aqua_rat__Gw0Tg5jTlEcjcBJg | Read the following three equations:
5 ~ 4 ~ 3 ~ 9 = 4215
6 ~ 9 ~ 2 ~ 6 = 3816
4 ~ 7 ~ 3 ~ 3 = 1122
Now based on the rule that has been used, solve the following equation:
3 ~ 2 ~ 7 ~ 4 = ____ Choose the correct choice from the following answers
A) 1412
B) 2910
C) 2940
D) 3749
E) 4470 | 1412 1412 1412 The rule that is being followed here is P ~ Q ~ R ~ S = [first digit of (P * S)] [last digit of (Q * R)] [first digit of (Q * R)] [last digit of (P * S)] Using the same rule in the incomplete equation, 3 ~ 2 ~ 7 ~ 4 = [first digit of (3 * 4)] [last digit of (2 * 7)] [first digit of (2 * 7)] [... | A | calc |
ape210k__00986909 | Xiaoli has 3 coats and 5 pairs of trousers, how many different matching methods can there be? | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00660063 | The product of a number multiplied by 12 is 2400. If the number is divided by 100 times, what is the product? | <gadget id="calculator">2_400 / 12 / 100</gadget>
<output>2</output>
<gadget id="calculator">2 * 12</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00632019 | A, B, and C are running a 100-meter race. When A reaches the finish line, B is still 10 meters away from the finish line, and C is still 20 meters away from the finish line. When B ran to the finish line, how many meters did C actually run? | <gadget id="calculator">180 - 80</gadget>
<output>100</output>
<gadget id="calculator">100 / 9</gadget>
<output>100/9 = around 11.111111</output>
<gadget id="calculator">100 - (100/9)</gadget>
<output>800/9 = around 88.888889</output>
<result>800/9 = around 88.888889</result> | 800/9 | calc |
ape210k__00597111 | If 5 □ 5 is a multiple of 3, what is the minimum number that should be filled in the box | <result>2</result> | 2 | calc |
math_qa__lup2HHqSMrP7mlTw | If N = 3^0.15 and N^b = 9, b must equal Pick.
A) 3 / 80
B) 3 / 5
C) 4
D) 5 / 3
E) 40 / 3 | <gadget id="calculator">log(9)</gadget>
<output>log(9) = around 2.197225</output>
<gadget id="calculator">3 ** 0.15</gadget>
<output>1.179148</output>
<gadget id="calculator">log(1.179148)</gadget>
<output>0.164792</output>
<gadget id="calculator">log(9) / 0.164792</gadget>
<output>6.06825574056993*log(9) = around 1... | E | calc |
ape210k__00882625 | The ostrich said: "My speed is faster, I run 54.3 kilometers per hour", and the little cat said: "My speed is faster, I run 28.4 kilometers per hour". Based on the above conversation, who do you think is faster and how many kilometers faster? | <gadget id="calculator">54.3 - 28.4</gadget>
<output>25.9</output>
<result>25.9</result> | 25.9 | calc |
ape210k__00769489 | The factory has produced 2,400 badmintons, and they are packed into 10 boxes on average, with 80 bags in each box. How many are there in each bag? (answer in two ways) | <gadget id="calculator">2_400 / 10 / 80</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__czFU2aoSD9sbioyg | What percent is 6 gm of 1 kg? Choices.
A) 1.5 % B) 0.5 % C) 0.6 % D) 3.5 % E) 4 % | 1 kg = 1000 gm 6/1000 × 100 = 600/1000 =3/5=
<gadget id="calculator">3/5</gadget>
<output>3/5 = around 0.6</output>
0.6 % 0.6 %)
<result>C</result> | C | calc |
aqua_rat__D69ojbG3gmz7dIbA | The mean of four integers A will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
Choices:
A) I onl... | If we consider a set {1,2,3,4}, when multiplied with a constant we take that constant as 1 and multiply resulting set will contain the same numbers as the original. so how can the answer be I only.....I only
<result>A</result> | A | calc |
math_qa__ZXgjmRYLiUGhvpIE | If two-third of a bucket is filled in 90 seconds then the time taken to fill the bucket completely will be . Choose the correct choice:
A) 90 seconds B) 70 seconds C) 135 seconds D) 100 seconds E) 120 seconds | <gadget id="calculator">90 / 2</gadget>
<output>45</output>
<gadget id="calculator">45 * 3</gadget>
<output>135</output>
<result>C</result> | C | calc |
aqua_rat__MbkCRMconthU2etr | A and B starts a business with Rs.8000 each, and after 6 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months? Choose the correct option.
A) 3:2 B) 12:5 C) 18:10 D) 18:14 E) 14:11 | A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 6 months and then withdraws Rs.4000. So, the investment of B for remaining 12 months is Rs.4000 only. 3:2 : B 8000*18 : (8000*6) + (4000*12) 14400 : 96000 3:2:B = 3:2 3:2nswer: 3:2
<result>A</result> | A | calc |
ape210k__00067252 | Given that (4/5) a=b, then a:b=how much. | <gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<result>5/4 = around 1.25</result> | 5/4 | calc |
ape210k__00086813 | Among the 150 natural numbers 1, 2, 3...149, 150, what is the sum of all the numbers that are relatively prime to 30? | <gadget id="calculator">1 + 7 + 11 + 13 + 17 + 19 + 23 + 29</gadget>
<output>120</output>
<gadget id="calculator">30 * 8</gadget>
<output>240</output>
<gadget id="calculator">120 + 240</gadget>
<output>360</output>
<gadget id="calculator">360 + 240</gadget>
<output>600</output>
<gadget id="calculator">600 + 240</ga... | 3_000 | calc |
ape210k__00111333 | In the square, there used to be a square flowerbed with a side length of 45 meters. After the expansion, the side length increased by 15 meters, and the area of the flowerbed increased by how many square meters. | <gadget id="calculator">45 + 15</gadget>
<output>60</output>
<gadget id="calculator">60 * 60</gadget>
<output>3_600</output>
<gadget id="calculator">45 * 45</gadget>
<output>2_025</output>
<gadget id="calculator">3_600 - 2_025</gadget>
<output>1_575</output>
<result>1_575</result> | 1_575 | calc |
ape210k__00529809 | Xiaoya's family lives on the eighth floor. She needs to walk 112 steps from the first floor to the eighth floor. How many steps does she have to walk on each floor? | <gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">112 / 7</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__lR9NzMXE0oQGQYC5 | How many terms are there in 2, 4, 8, 16,..., 16384?
Choose the correct choice from the following.
A) 14
B) 11
C) 12
D) 10
E) 8 | 2, 4, 8, 16, ..., 16384 is a G.P with a =2 and r =4/2=
<gadget id="calculator">4/2</gadget>
<output>2</output>
2 Let the number of terms be n. Then 2 x 2 ^n-1= 16384 or 2^n-1 = 8192 = 2^13 Thus n - 1 =13 n= 14 14NSWER:14
<result>A</result> | A | calc |
aqua_rat__fXecH3ExFpmU7Vpf | We have 6 people and 4 chairs. In how many ways chairs can be occupy?
Pick: A) 840 B) 720 C) 650 D) 914 E) 120 | no. of ways they can be occupy = 6*5*4=
<gadget id="calculator">6*5*4</gadget>
<output>120</output>
120 Answer is 120
<result>E</result> | E | calc |
ape210k__00467730 | classroom with a flat top is 8 meters long, 6 meters wide, and 3 meters high. The classroom doors, windows and blackboards have a total area of 32 square meters. How many square meters will be painted on the top and four walls of the classroom? | <gadget id="calculator">8 * 6</gadget>
<output>48</output>
<gadget id="calculator">8 * 3 * 2</gadget>
<output>48</output>
<gadget id="calculator">6 * 3 * 2</gadget>
<output>36</output>
<gadget id="calculator">36 - 32</gadget>
<output>4</output>
<gadget id="calculator">48 + 48 + 4</gadget>
<output>100</output>
<res... | 100 | calc |
ape210k__00200311 | The volume of a cuboid water tank is 200 liters. The bottom of this water tank is a square with side length 50 cm. What is the height of the water tank in cm? | <gadget id="calculator">50 * 50</gadget>
<output>2_500</output>
<gadget id="calculator">1_000 / 2_500</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">200 * (2/5)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00932427 | For a project, (1/4) of the total project volume is completed in 8 days. How many days will it take to complete this project? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) / 8</gadget>
<output>1/32 = around 0.03125</output>
<gadget id="calculator">1 / (1/32)</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
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