id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
math_qa__UIGBRf4vLWxU655D | The average of 9 numbers is 104. Average of the first 5 of them is 99 and that of the last 5 is 100. Find the 5th number? Pick:
A) 46 B) 59 C) 63 D) 75 E) 88 | <gadget id="calculator">5 * 100</gadget>
<output>500</output>
<gadget id="calculator">9 * 104</gadget>
<output>936</output>
<gadget id="calculator">99 * 5</gadget>
<output>495</output>
<gadget id="calculator">936 - 495</gadget>
<output>441</output>
<gadget id="calculator">500 - 441</gadget>
<output>59</output>
<re... | B | calc |
ape210k__00179790 | There are several commandos participating in a certain construction site battle. It is known that the number of each commando team is the same, and the number of female members in each team is (7/18) the number of male members in the team. Later, the superior transferred half of the team members from the first commando... | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">17 + 8</gadget>
<output>25</output>
<gadget id="calculator">8 / 25</gadget>
<output>8/25 = around 0.32</output>
<gadget id="calculator">7 + 18</gadget>
<output>25</output>
<gadget id="calculator">7 / 25</gadget>
<output... | 4 | calc |
aqua_rat__mnc2fvLMuc7S3Rpr | In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 12% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy? Answers:
A) 22% B) 23% C) 24% D) 25% E) 34% | Since 12% of the customers who sample the candy are not caught, then 88% of the customers who sample the candy are caught: {% of customers who sample candy}*0.88 = 0.22; {% of customers who sample candy} = 0.25. Answer: 25%.
<result>D</result> | D | calc |
gsm8k__55BTggBT3ejK1725 | Kendra and Laurel have shops that sell different brands of shoe collections. In 2014, Kendra made $8000 less than Laurel made in sales. However, in 2015, Kendra made 20% more money than Laurel made in 2014. If Laurel earned $30000 in 2014, calculate Kendra's total earnings in the two years. | In 2015, Kendra's sales were 20/100 * $30000 = $
<gadget id="calculator">20/100*30000</gadget>
<output>6_000</output>
6000 more than Laurel's.
So, Kendra's total sales for 2015 was $30000 + $6000 = $
<gadget id="calculator">30000+6000</gadget>
<output>36_000</output>
36000.
If Kendra made $8000 less in 2014 than Laurel... | 58_000 | calc |
math_qa__ozyMhN2weOSUurTi | 36 men can complete a piece of work in 18 days.In how days will 27 men can complete the work?
Select the correct option:
A) 18
B) 20
C) 17
D) 24
E) 21 | <gadget id="calculator">18 * 36</gadget>
<output>648</output>
<gadget id="calculator">648 / 27</gadget>
<output>24</output>
<result>D</result> | D | calc |
ape210k__01197853 | The average height of two students is 90 cm, one of them is 110 cm, what is the height of the other student in cm? | <gadget id="calculator">90 * 2</gadget>
<output>180</output>
<gadget id="calculator">180 - 110</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
aqua_rat__py6a1KgL6T9OhJL1 | In an election between two candidates, the winner has a margin of 10% of the votes polled. If 4000 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election? Select the correct option.
A) 16000
B) 10000
C) 4000... | Winner - Looser 55% - 45% If 4000 people change their mind and vote for the loser: Winner - Looser 45% - 55% Thus 4,000 people compose 25% of all voters, which means that the total number of votes is 40,000 Answer: 40000
<result>C</result> | C | calc |
ape210k__01150999 | If it takes (1/2) hour to saw a piece of wood into 4 sections, how many hours will it take to saw it into 6 sections? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">(1/2) / 3</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">(1/6) * 5</gadget>
<o... | 5/6 | calc |
ape210k__00469055 | Xiao Wang can type 115 characters per minute. From 9:45 to 11:10, how many characters can she type in total? | <gadget id="calculator">115 * 85</gadget>
<output>9_775</output>
<result>9_775</result> | 9_775 | calc |
ape210k__00460077 | Divide 20 peaches into 4 parts on average, each part is ((())/(())) of these peaches, how many are each part. | <gadget id="calculator">4 / 1</gadget>
<output>4</output>
<gadget id="calculator">20 / 4</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00531848 | The fifth grade students make safflower, 40 in the first class, which is 32 times less than that in the second class. How many flowers does the second class make? | <gadget id="calculator">32 + 40</gadget>
<output>72</output>
<gadget id="calculator">72 / 2</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00091525 | There are a certain number of students in a certain school. The number of boys is 5 less than that of the whole school (5/9), and the number of girls is 11 more than that of the whole school (3/7). How many students are there in the whole school? | <gadget id="calculator">11 - 5</gadget>
<output>6</output>
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">1 - (5/9) - (3/7)</gadget>
<output>1/63 = around 0.015873</output>
<gadget id... | 378 | calc |
aqua_rat__fNKtkqhXNy964EG5 | The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum? Choose the correct choice from the following choices:
A) 13518
B) 13519
C) 13527
D) 13500
E) 13521 | P = (184*106) / [6 2/3 * 6 2/3 *(300*6 2/3)] P = 13500 Answer: 13500
<result>D</result> | D | calc |
ape210k__01175081 | The sixth grade students of a certain school participated in the model airplane competition in the youth science and technology activity center. The ratio of the number of students divided into two groups was 7:8. If 8 people were transferred from group B to group A, the number of people in group A would be 125% of tha... | <gadget id="calculator">7 + 8</gadget>
<output>15</output>
<gadget id="calculator">8 / 15</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(8/15) - (4/9)</g... | 90 | calc |
ape210k__01201423 | A is more than B (1/4), how much less is B than A? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(1/4) / (5/4)</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__01164095 | 80% of A is equal to 60% of B, how much is A | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(3/5) / (4/5) / 1</gadget>
<output>3/4 = around 0.75</output>
<result>3/4 = around 0.75</result> | 3/4 | calc |
ape210k__00554806 | On the construction site, the hopper of the mixer is conical. The diameter of the mouth of the bucket is 2 meters and the depth is 1.5 meters. How much floor can be paved by laying a bucket full of concrete on a 25 cm thick floor? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1.5 / (1/4)</gadget>... | 6.28 | calc |
math_qa__FJWERqk52OUs1wJO | Total 60 cows 20 cow gives each 2 liter milk 20 cow gives each 3/4 liter milk 20 cow gives each 1/4 liter milk this is split into 3 son per each 20 cows & 20 liter milk how? Options.
A) 20 B) 10 C) 15 D) 16 E) 18 | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 20</gadget>
<output>15</output>
<gadget id="calculator">(3/4) + 15</gadget>
<output>63/4 = around 15.75</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator"... | A | calc |
ape210k__00831879 | During the May Day period, the train ticket from A to B is 30 yuan more expensive than usual. It is 125% of the normal fare. How much is each train ticket on weekdays? | <gadget id="calculator">125 / 100</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/4) - 1</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">20 / (1/4)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00034183 | There are 52 people in class 3 (1) going to the movies, and the ticket price is 6 yuan each. How much is the total cost of buying tickets? | <gadget id="calculator">6 * 52</gadget>
<output>312</output>
<result>312</result> | 312 | calc |
gsm8k__0TZSTntmHpTIGDR9 | After a trip, Mrs. Nalani took the students to the restaurant and told them they could order either a burger or a hot dog. If the number of students who ordered burgers was 30, twice the number of students who called for a hot dog, calculate the number of students at the restaurant. | If the 30 students who ordered burgers were twice the number of students who ordered hot dogs, then 30/2 =
<gadget id="calculator">30/2</gadget>
<output>15</output>
15 students ordered hot dogs.
The total number of students is 15 + 30 =
<gadget id="calculator">15+30</gadget>
<output>45</output>
45.
<result>45</resul... | 45 | calc |
aqua_rat__eAmVh9a2GM3rpra7 | Of the five numbers in a sequence, the first term is 15,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
Choose the correct choice from the following options:
A) 9,375 B) 9,750 C) 9,975 D) 9,984 E) 14,976 | 1st number= 15,000 2nd number = 20% of 15,000= 3000 3rd number= 20% of 3000= 600 4th number = 20% of 600= 120 5th number= 20% of 120= 24 Range = 15,000-24= 14976 14,976 is the answer
<result>E</result> | E | calc |
gsm8k__5qI7ie6d1dEJn7pI | Stormi is saving up to buy a bicycle. She washes 3 cars for $10 each. She mows 2 lawns for $13 each. If the bicycle she wants costs $80, how much more money does Stormi need to make to afford the bicycle? | The total amount of money from washing cars is 3 * $10 = $
<gadget id="calculator">3*10</gadget>
<output>30</output>
30.
The total amount of money from mowing lawns 2 * $13 = $
<gadget id="calculator">2*13</gadget>
<output>26</output>
26.
The total amount of money Stormi makes is $30 + $26 = $
<gadget id="calculator">3... | 24 | calc |
ape210k__00411822 | A 60 cm long iron wire can form a cuboid frame with a length of 5 cm, a width of 3 cm, and a height of cm. | <gadget id="calculator">60 / 4</gadget>
<output>15</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">15 - 8</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00326404 | The product of 999 multiplied by a two-digit number is a four-digit number. What is the two-digit number? | <result>10</result> | 10 | calc |
ape210k__00487668 | Draw the largest circle in a rectangle with a length of 3 cm and a width of 2 cm. What is the area of this circle in square centimeters? | <gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">3.14 * 1</gadget>
<output>3.14</output>
<result>3.14</result> | 3.14 | calc |
ape210k__00074417 | The diameter of circle A is 8 cm long, which is 40% of the diameter of circle B. What is the circumference of circle B in centimeters. | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">8 / (2/5)</gadget>
<output>20</output>
<gadget id="calculator">3.14 * 20</gadget>
<output>62.8</output>
<result>62.8</result> | 62.8 | calc |
ape210k__00039868 | In the following fractions, what is the number greater than (1/4) and less than (1/3) | <gadget id="calculator">7 / 24</gadget>
<output>7/24 = around 0.291667</output>
<result>7/24 = around 0.291667</result> | 7/24 | calc |
ape210k__00000229 | The number A is 4 more than the number B, and the number B is reduced by 10 times to 0.6. What is the number A reduced by 10 times? | <gadget id="calculator">0.6 * 10</gadget>
<output>6</output>
<gadget id="calculator">6 + 4</gadget>
<output>10</output>
<gadget id="calculator">10 / 10</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__01215607 | The milk production of the three cows raised by Zhang Yan last week was 220.5 kg. How much milk does each cow produce per day? | <gadget id="calculator">220.5 / 7 / 3</gadget>
<output>10.5</output>
<result>10.5</result> | 10.5 | calc |
ape210k__00261660 | How many hours is 3 hours and 6 minutes? | <gadget id="calculator">6 / 60</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) + 3</gadget>
<output>31/10 = around 3.1</output>
<result>31/10 = around 3.1</result> | 31/10 | calc |
ape210k__01015745 | If 2x+1=8, then 5.4x-2=how much. | <gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">7 / 2</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">5.4 * (7/2)</gadget>
<output>18.9</output>
<gadget id="calculator">18.9 - 2</gadget>
<output>16.9</output>
<result>16.9</result> | 16.9 | calc |
ape210k__00148605 | Multiplying a number by 0.1 is to reduce the number to its size | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<result>1/10 = around 0.1</result> | 1/10 | calc |
ape210k__00276460 | Distribute some candies to some people, 6 for each, 13 left, 9 for each, and 2 missing. How many candies are there in total? | <gadget id="calculator">13 + 2</gadget>
<output>15</output>
<gadget id="calculator">9 - 6</gadget>
<output>3</output>
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">30 + 13</gadget>
<output>43</output>
<result>43</result... | 43 | calc |
aqua_rat__9f5eiAJlbRvMh9kp | If a young child was 14 months old one year ago, how old was the child, in months, x months ago? Choose one.
A) x − 26 B) x − 12 C) 14 − x D) 24 − x E) 26 − x | The child's age today is 14 months + 12 months = 26 months x months ago, the child's age was (26 - x) months old. The answer is 26 − x.
<result>E</result> | E | calc |
aqua_rat__ilUqcnD8bOFrokPi | A factory has a fixed cost of $35,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly? Choose the correct option
A) 9,000 B) 14,000 C) 18,000 D) 22,500 E) 27,000 | selling price - Cost price = 2.5 so per unit profit =2.5 cost to recover =35000 no of items required = 35000/2.5=
<gadget id="calculator">35000/2.5</gadget>
<output>14_000</output>
14000 Ans 14,000
<result>B</result> | B | calc |
ape210k__00359549 | 119-X=Y, given x:y=3:4, then x=how many. | <gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">1 + (4/3)</gadget>
<output>7/3 = around 2.333333</output>
<gadget id="calculator">119 / (7/3)</gadget>
<output>51</output>
<result>51</result> | 51 | calc |
math_qa__q3t3OrovFNVXfp59 | what will be the ci on a sum of rs . 25000 after 3 years at the rate of 12 per year ? Choose the correct choice from the following options:
A) rs . 10100
B) rs . 10110
C) rs . 10123.20
D) rs . 10135.50
E) rs . 10167.20 | <gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">(3/25) + 1</gadget>
<output>28/25 = around 1.12</output>
<gadget id="calculator">(28/25) ** 3</gadget>
<output>21_952/15_625 = around 1.404928</output>
<gadget id="calculator">(21_952/15_625) * 25_000</gadget>
<outp... | C | calc |
aqua_rat__Q2L934Vz2jJ1gtDS | If a number is 40% more than the another, how much % is the smaller number less than the first ?
Choose one: A) 12(1/3)% B) 16(2/3)% C) 28(4/7)% D) 16(4/3)% E) none of these | Take a number 100, Then the other number is 140 % the smaller number is less than the first = [(40/(140)) x 100]% = 28(4/7)%. ANSWER:28(4/7)%
<result>C</result> | C | calc |
aqua_rat__hMbQiHsS7EfuXT6k | In a survey of 350 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
Choose the correct option:
A) 7/12... | ---------UI----------------NUI-------Total PT ----(12.5/100)*104=
<gadget id="calculator"> ----(12.5/100)*104</gadget>
<output>13</output>
13----------- --54 NPT---104-13-------------- x--------296 Total--104----------------------------350 we have to find not part time and not uninsured . in other words not pa... | E | calc |
ape210k__01135223 | The purchase price of a computer is 4,200 yuan. If the price is priced at 30% of the profit, how much should the price be? | <gadget id="calculator">130 / 100</gadget>
<output>13/10 = around 1.3</output>
<gadget id="calculator">4_200 * (13/10)</gadget>
<output>5_460</output>
<result>5_460</result> | 5_460 | calc |
aqua_rat__nw5uD1wHJm3s9RQG | Annika hikes at a constant rate of 12 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 51 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly... | Set up two R x T =D cases. 1. 1/12 km/ min x T = 2.75 from which T= 33 mins. We know total journey time now is 51 +33=
<gadget id="calculator"> 51 +33</gadget>
<output>84</output>
84. The rate is the same ie 1/12km/min. set up second R x T=D case. 1/12 km/min x 84 = 7 km Now the total journey would be h... | E | calc |
ape210k__00049033 | The passenger car and the truck leave from A and B in the same direction respectively. After traveling for 6 hours, the bus is still (1/8) away from B, and the truck is 138 kilometers away from A. It is known that the passenger car travels 15 kilometers more per hour than the truck, how many kilometers is the distance ... | <gadget id="calculator">15 * 6</gadget>
<output>90</output>
<gadget id="calculator">138 - 90</gadget>
<output>48</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">48 / (1/8)</gadget>
<output>384</output>
<result>384</result> | 384 | calc |
aqua_rat__rn81PpNcUwI3Xsvt | Two teams Arrogant and Overconfident are participating in a cricket tournament. The odds that team Arrogant will be champion is 5 to 3, and the odds that team Overconfident will be the champion is 1 to 4. What are the odds that either Arrogant or team Overconfident will become the champion? Answers:
A) 3 to 2 B) 5 to 2... | Explanation : Odds of winning Arrogant is 5/3, then their probability of winning is 5/ (5+3) i.e 5/8. Similarly, Odds of winning Overconfident is 1/4, then their probability of winning is 1/ (1+4) i.e 1/5. Therefore, the probability of winning of Arrogant or Overconfident is :- =>(5/8) + (1/5). =>33/4... | D | calc |
ape210k__00485129 | Niu Niu goes to the supermarket and wants to buy 9 ballpoint pens. There are two kinds of packaging. The single package costs 4 yuan each; the package of 9 pens costs 27 yuan per box. In your opinion, how to buy Niu Niu is a good deal? | <result>9</result> | 9 | calc |
ape210k__00773775 | Master Zhang can process 1.5 kg of wet noodles with 1 kg of dry flour. If he wants to make 12 kg of wet noodles, how many kg of dry flour does he need? | <gadget id="calculator">12 / 1.5</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00573159 | The length and width of a rectangle are both prime numbers in meters, and the length and width are not equal. Its perimeter is 20m. What is the area of the rectangle in square meters? | <gadget id="calculator">7 * 3</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00193146 | There are 5 red balls and 5 yellow balls of the same size in a bottle. There must be 2 balls of the same color if you want to draw out the balls, at least how many balls must be drawn out. | <gadget id="calculator">2 + 1</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__tugvFbGhgkI2O3ej | The total of a company's assets in 1994 was 200% greater than the total in 1993, which in turn was 300% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994? Choose the correct choice from the following answers: A) 5N B) 6N C) 9N D) 12N ... | In 1992, the company's assets were N. In 1993, the company's assets were N + 3N =4N. In 1994, the company's assets were 4N + 8N = 12N. The answer is 12N.4 + 8=
<gadget id="calculator">4 + 8</gadget>
<output>12</output>
12N. The answer is 12N.
<result>D</result> | D | calc |
ape210k__00302629 | Buy 3 basketballs and pay 100 yuan, get back 25 yuan, how much is each basketball? | <gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">75 / 3</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
aqua_rat__kiiidwM8GXR3JkHl | A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good. Select the correct option.
A) 20/60 B) 20/63 C) 20/69 D) 20/61 E) 20/611 | Required probability = (⁵C₃ . ⁴C₁)/⁹C₄ = (10 * 4)/126 = 20/63 Answer: 20/63
<result>B</result> | B | calc |
ape210k__00478267 | 3 decimeters are 1 meter ((())/(())), expressed in decimals. | <gadget id="calculator">1 * 10</gadget>
<output>10</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<result>3/10 = around 0.3</result> | 3/10 | calc |
mawps__ndmQPK0kbOSwS73A | Samantha had 15 Car. Melinda provideed him some more. Now Samantha has 50 Car. How many did Melinda provide him? | <gadget id="calculator">50 - 15</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
gsm8k__zwbu2clM3n0B6Gk6 | Travis goes through 2 boxes of cereal a week. If each box costs $3.00 and he eats 2 boxes every week for an entire year, 52 weeks, how much does he spend on cereal? | He eats 2 boxes for 52 weeks so he eats 2*52 =
<gadget id="calculator">2*52</gadget>
<output>104</output>
104 boxes.
Each box costs $3.00 and he buys 104 boxes so he spends 3*104 = $
<gadget id="calculator">3*104</gadget>
<output>312</output>
312.00.
<result>312</result> | 312 | calc |
aqua_rat__746NhU409qulCTep | A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.55 less, he could have gained 25%. What is the cost price?
Choose the correct choice from the following options
A) 197
B) 375
C) 275
D) 278
E) 268 | 275P1 = 100 SP1 = 120 275P2 = 80 SP2 = 80 * (125/100)=
<gadget id="calculator">80 * (125/100)</gadget>
<output>100</output>
100 20 ----- 100 55 ----- ?=> 275 Answer:275
<result>C</result> | C | calc |
ape210k__00423966 | A car (3/4) travels 45 kilometers in an hour. According to this calculation, how many kilometers will it travel in 48 minutes? | <gadget id="calculator">45 / 45</gadget>
<output>1</output>
<gadget id="calculator">1 * 48</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00470836 | Jiajiale Supermarket sold 4 boxes of thermos bottles, each containing 6 thermos bottles, and sold them for a total of 360 yuan. How much is each thermos bottle on average? | <gadget id="calculator">360 / 4 / 6</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00383028 | A corridor in Jiexin Park is 200 meters long. Cannas are planted equidistantly from the beginning to the end on both sides of the corridor. A total of 82 cannas are planted. How many meters are there between each two cannas? | <gadget id="calculator">82 / 2</gadget>
<output>41</output>
<gadget id="calculator">41 - 1</gadget>
<output>40</output>
<gadget id="calculator">200 / 40</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00195684 | certain grade organizes students to go on a spring outing. If you rent a 35-seat passenger car, you need 4 cars, and if you rent a 42-seat passenger car, you need 3 cars. After arriving at the scenic spot, it is required to group activities, and the number of groups is exactly equal to the number of people in each grou... | <result>121</result> | 121 | calc |
aqua_rat__7AMNHkzp9bLJVRG2 | If, 4 years ago, Jamie was half as old as he is now, how old will he be in x years? Choose the correct choice from the following choices: A) x + 10 B) x + 5 C) x + 8 D) x – 5 E) 2x | let his age be a. a-4=a/2 hence a=8. 8 years hence, a =x+8 Answer x + 8
<result>C</result> | C | calc |
math_qa__BYYuijCyd1oxZdop | Every day Daniel drives 96 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work ... | <gadget id="calculator">32 / 2</gadget>
<output>16</output>
<gadget id="calculator">96 - 32</gadget>
<output>64</output>
<gadget id="calculator">64 * 2</gadget>
<output>128</output>
<gadget id="calculator">16 + 128</gadget>
<output>144</output>
<gadget id="calculator">144 - 96</gadget>
<output>48</output>
<gadget ... | E | calc |
ape210k__00026367 | Dongdong has some eggs, 5 numbers of 5, 6 numbers of 6, and 12 numbers of 12, all of which are 4 more. It is known that these eggs are between 100-130. Do you know how many eggs there are in Dongdong's house? | <gadget id="calculator">2 * 3 * 5 * 2</gadget>
<output>60</output>
<gadget id="calculator">60 * 2</gadget>
<output>120</output>
<gadget id="calculator">120 + 4</gadget>
<output>124</output>
<result>124</result> | 124 | calc |
ape210k__00095049 | Grades 4, 5, and 6 donated to the earthquake-stricken areas. Grade 6 is more than grade 5 (1/5), Grade 5 is more than Grade 4 (1/5), Grade 6 is more than Grade 4 by what percentage? | <gadget id="calculator">1 / 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">(6/5) * (6/5)</gadget>
<output>36/25 = around 1.44</output>
<gadget id="calculator">(36/25) - 1</gadget>
<output>11/25 = around 0.44</output>
... | 11/25 | calc |
ape210k__00634627 | From A to B, if you ride a bicycle, travel 15 kilometers per hour and arrive in 4 hours. If it takes only 2 hours by car, how many kilometers per hour will the car travel? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">15 * 2</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__wuTpwh2OdvVTMcz8 | Three cricket players -- Ramesh, Suresh and Ganesh play for three different cricket Teams Haryana, Delhi and Rajasthan respectively. Ramesh was born in Chennai but brought up in Karnal, Haryana. Suresh was born in Delhi and brought up in Delhi. Ganesh's fore-fathers were from Madurai but settled in Rajasthan. All the t... | Ramesh:suresh=5:7 and Suresh:Ganesh=5:7 By making suresh to be equal in two ratios, we get R:S=25:35 and S:G=35:49 So, Total runs scored by them=109x=327 x=327/109=
<gadget id="calculator">327/109</gadget>
<output>3</output>
3 Total runs scored by suresh=35*x=35*3=
<gadget id="calculator">35*3</gadget>
<out... | D | calc |
ape210k__00032360 | Xiao Ming bought 4 ballpoint pens and spent 6 yuan. Xiaogang wants to buy 12 of the same ballpoint pens, how much does it cost? | <gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">3 * 6</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__EiVhODItqnIke5Mc | Mangala completes a piece of work in 30 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Choose the correct choice from the following
A) 8 days B) 12 days C) 14 days D) 15 days E) 18 days | If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days. That is, the required No. of days = 30 × 30/60 = 15 days 15 days
<result>D</result> | D | calc |
aqua_rat__E6JHQi8riRChBDJU | How many times will the digit 6 be written when listing the integers from 1 to 1000? Choose the most appropriate option: A) 150 B) 280 C) 310 D) 420 E) 300 | Many approaches are possible. For example: Consider numbers from 0 to 999 written as follows: 1. 000 2. 001 3. 002 4. 003 ... ... ... 1000. 999 We have 1000 numbers. We used 3 digits per number, hence used total of 3*1000=
<gadget id="calculator">3*1000</gadget>
<output>3_000</output>
3000 digits. ... | E | calc |
aqua_rat__aQGuNpFLKh0qyTUb | If X^y denotes x raised to the power y, then find last two digit of
1507^3381+1457^3757 Answers.
A) 64 B) 65 C) 66 D) 75 E) 84 | 1507^3381+1457^3757 => 07^3381+57^3757 49^1690×7 + 49^1878 × 57 => (100-51)^1690 ×7 + ( 100-51)^1878×57 => 51^1690 × 7 + 51^1878×57 => 07+57=64 64NSWER:64
<result>A</result> | A | calc |
aqua_rat__UDncqFhZ6CwrBEmU | If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased? Select the correct option.
A) 8% B) 7% C) 10% D) 6% E) 9% | Explanation: 8%ssume that the initial price of 1 Litre petrol = Rs.100 ,Benson spends Rs.100 for petrol, such that Benson buys 1 litre of petrol 8%fter the increase by 25%, price of 1 Litre petrol = 100 × (100+25)/100 = Rs.125 Since Benson spends additional 15% on petrol, amount spent by Benson = 100× (100+15... | A | calc |
ape210k__00097870 | A computer company buys back a batch of computers, sells (1/6) in the first week, and sells 39 units in the second week. At this time, the ratio of the number of remaining units to the sales is 2:3. This batch of computers was originally How many units are there? | <gadget id="calculator">13 / 18</gadget>
<output>13/18 = around 0.722222</output>
<gadget id="calculator">39 / (13/18)</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
ape210k__01095095 | It takes Xiao Ming 12 days to read a storybook, 18 pages a day for the first 5 days, and 105 pages for the next 7 days. How many pages does this book have? | <gadget id="calculator">18 * 5</gadget>
<output>90</output>
<gadget id="calculator">90 + 105</gadget>
<output>195</output>
<result>195</result> | 195 | calc |
aqua_rat__9uQIFlB4CzdY5odU | What is the difference between the place value and the face value of 6 in the numeral 296827? Pick:
A) None of these B) 5999 C) 994 D) 5994 E) 995 | Explanation: Place value of 6 = 6000 Face value of 6 = 6 5994ifference = 6000 - 6=
<gadget id="calculator">6000 - 6</gadget>
<output>5_994</output>
5994 Answer: 5994
<result>D</result> | D | calc |
ape210k__00024724 | The integer 8 can be written as the sum of 4 integers 1, 1, 2, 4, or as the product of these 4 integers. Then how many integers are at least not equal to 2008, so that their sum is equal to 2008, and their product is also equal to 2008. | <result>1_004</result> | 1_004 | calc |
ape210k__00413112 | 45 pieces of fruit candy and 35 pieces of chocolate were equally distributed to the students in one group, and the result was just finished. How many students are there at most in this group? | <result>5</result> | 5 | calc |
ape210k__00120433 | In the four-digit number composed of the four numbers 1, 2, 3, and 4, 1 is not in the ones place, 2 is not in the tens place, 3 is not in the hundreds place, and 4 is not in the thousands place. How many are there? | <gadget id="calculator">4 * 3 * 2 * 1</gadget>
<output>24</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">24 - 1 - 6 - 8</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00872149 | A. Two cars start from the same place at the same time, and go opposite to each other. After 2.4 hours, the distance is 216 kilometers. The speed of car A is 42 km/h, find the speed of car B. (solution with equation) | <gadget id="calculator">2.4 * 42</gadget>
<output>100.8</output>
<gadget id="calculator">216 - 100.8</gadget>
<output>115.2</output>
<gadget id="calculator">115.2 / 2.4</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00002576 | It is 27 kilometers from A to B, and the ratio of the uphill road to the whole journey is 2:7. How many kilometers is the uphill road? | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">27 * (2/7)</gadget>
<output>54/7 = around 7.714286</output>
<result>54/7 = around 7.714286</result> | 54/7 | calc |
aqua_rat__uzhoMyU9pz7HBuUE | You collect balls. Suppose you start out with 7. John takes half of one more than the number of balls you have. Since his mother makes balls, Peter decides to triple your balls. How many balls do you have at the end?
Choose the correct choice.
A) 6 B) 7 C) 8 D) 9 E) 10 | Solution Start with 7 balls. John takes half of one more than the number of balls you have. So John takes half of 7 + 1 which is 4, so you're left with 7 - 4=
<gadget id="calculator"> 7 - 4</gadget>
<output>3</output>
3. Peter triples the number of balls you have: 3 × 3= 9 balls. So you have 9 at the end.... | D | calc |
ape210k__01174171 | Tickets for the amusement park used to be 50 yuan each, and there was a 20% discount during the "June 1st" period. How much can I save by buying a ticket? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">50 * (4/5)</gadget>
<output>40</output>
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00358456 | The circumference of a circular flower bed is 15.7 meters. If a path with a width of 1 meter is built around it, what is the area of the path in square meters? | <gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">15.7 / 6.28</gadget>
<output>2.5</output>
<gadget id="calculator">2.5 + 1</gadget>
<output>3.5</output>
<gadget id="calculator">3.5 ** 2</gadget>
<output>12.25</output>
<gadget id="calculator">2.5 ** 2</gadget>
<output>6.25</out... | 18.84 | calc |
ape210k__00006899 | A bus is driving from Guangzhou to Wuhan, and a truck is driving from Wuhan to Guangzhou at the same time. After 4 hours, the two cars meet, and after 3 hours, the bus is still 45 kilometers away from Wuhan, and the truck is still 3 hours away from Guangzhou. 70 kilometers, how many kilometers is the distance from Guan... | <gadget id="calculator">45 + 70</gadget>
<output>115</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 3</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">... | 460 | calc |
ape210k__00595435 | In a book, the ratio of the number of pages you have read to the number of pages you have not read is 1:3. If you read another 150 pages, you have read half of the book. How many pages does this book have? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) - (1/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">150 /... | 600 | calc |
aqua_rat__Vpdfr0znAirQrXlH | The ratio of boys to girl in a school is 5:4. If there are 1500 boys in the school, how many girls are there? Choose the correct choice from the following options
A) 300 B) 1200 C) 1500 D) 1800 E) 2000 | Think of the ratio as 5 parts: 4 parts. Divide 1500 by 5 to find 1 "part" of the ratio. 1500/5=
<gadget id="calculator">1500/5</gadget>
<output>300</output>
300 Multiply this by 4 to get 4 "parts" of the ratio. 300*4=
<gadget id="calculator">300*4</gadget>
<output>1_200</output>
1200 There are 1200 girls in... | B | calc |
ape210k__00616060 | 20% of a number equals 36. Find this number. (solution by equation) | <gadget id="calculator">36 / 0.2</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
ape210k__00248576 | Children line up to do exercises. There are 3 people in front of Xiaogang and 5 people in the back. How many people are there in this team? | <gadget id="calculator">3 + 5 + 1</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00412974 | A conical measuring cup with a height of 12 cm is filled with water. If the water is poured into a cylindrical measuring cup with the same area as the bottom, what is the height of the water surface in cm? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">12 * (1/3)</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__01102303 | (1/3) of a book is 48 pages, how many pages are (5/8) of this book. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">48 / (1/3)</gadget>
<output>144</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">144 * (5/8)</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__00306910 | A batch of parts, the master alone takes 5 hours to complete, and the apprentice alone takes 8 hours to complete. When two people cooperate to complete the task, the master makes 42 more parts than the apprentice. How many parts are in this batch? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/5) + (1/8)</gadget>
<output>13/40 = around 0.325</output>
<gadget id="calculator">1 / (13/40)</gadget>
<output>40/13 = around 3.076923</output... | 182 | calc |
ape210k__00127869 | The bottom surface of a section of ventilation pipe is a square with a side length of 2 decimeters and a height of 3 meters. How many square meters of iron sheet should be used to make such a section of ventilation pipe? | <gadget id="calculator">2 / 10</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 4 * 3</gadget>
<output>12/5 = around 2.4</output>
<result>12/5 = around 2.4</result> | 12/5 | calc |
ape210k__00339912 | A and B are walking toward each other from A and B at the same time, and meet at a distance of 72 kilometers from A. After meeting, the two continue to arrive at the starting point of each other at the original speed and then return. The second time is at a distance from A. They meet at 52 kilometers, so how many kilom... | <gadget id="calculator">72 * 3</gadget>
<output>216</output>
<gadget id="calculator">216 + 52</gadget>
<output>268</output>
<gadget id="calculator">268 / 2</gadget>
<output>134</output>
<result>134</result> | 134 | calc |
aqua_rat__S94NRt2EG1icS3ma | Look at this series: 7, 10, 8, 11, 9, 12, 10, 13, 11, ... What number should come next? Pick:
A) 12 B) 13 C) 14 D) 15 E) 16 | This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted. The answer is 14.
<result>C</result> | C | calc |
aqua_rat__jtAnK3icSiPePmvj | For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fourth of his earnings to charity. If the worker's charitable contributions totaled one-eighth of his e... | Let monthly salary for each of the 11 months except 22/10ecember was x, then 11x*1/10 + Nx*1/4 = 1/8(11x + Nx); 11/10 + N/4 = 1/8(11 + N) => 44+10N/40= 11+N/8 352+80N = 440+40N => 40N = 88 N =88/40 =22/10 Answer: 22/10.
<result>D</result> | D | calc |
ape210k__00535662 | Uncle Li and Uncle Zhang are both philatelists. Uncle Li has the same number of stamps (1/15) as Uncle Zhang has votes (1/12). Uncle Li has more stamps than Uncle Zhang by what percentage? | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/12) / (1/15)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">1 / (5/4)</gadget>
<output>4/5 = around 0.8</outp... | 1/4 | calc |
aqua_rat__JyeD1dcsmc1WTY7f | A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 5, AB = 5 and AC = 11, what is the length of AE? Pick one:
A) 19 B) 21 C) 23 D) 25 E) 27 | AC = 11 and AB = 5, so BC = 6. BC = 2CD so CD = 3. The length of 19E is 19B+BC+CD+DE = 5+6+3+5=
<gadget id="calculator">5+6+3+5</gadget>
<output>19</output>
19 The answer is 19.
<result>A</result> | A | calc |
ape210k__00956415 | There are 8 pears in 1 kg, one more apple than pear in 1 kg, mother bought 2 kg of apples and 2 kg of pears. How many pears and apples are there altogether? | <gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">9 * 2</gadget>
<output>18</output>
<gadget id="calculator">16 + 18</gadget>
<output>34</output>
<result>34</result> | 34 | calc |
aqua_rat__GMR7IHAva8CeTHog | How many multiples of 3 are there between 15 and 246 ? Choices.
A) 128 B) 94 C) 89 D) 76 E) 60 | It should be mentioned whether 15 and 246 are inclusive. If 15 and 246 are inclusive, then the answer is (246-15)/3+1=
<gadget id="calculator"> (246-15)/3+1</gadget>
<output>78</output>
78. If 15 and 246 are NOT inclusive, then the answer is (243-18)/3+1=
<gadget id="calculator"> (243-18)/3+1</gadget>
<outp... | D | calc |
ape210k__00050198 | A number (3/8) is 24 more than 20% of 180, what is this number? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">180 * (1/5)</gadget>
<output>36</output>
<gadget id="calculator">36 + 24</gadget>
<output>60</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">60 / (3/8)</gad... | 160 | calc |
ape210k__00757595 | Measure an angle, one side of the angle faces the "180" scale on the protractor, and the other side faces the "120" scale, what is the angle in degrees? | <gadget id="calculator">180 - 120</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__01091787 | The heights of the six students in the mathematics interest group are: 138 cm, 143 cm, 141 cm, 139 cm, 137 cm, and 142 cm. What is their average height in cm? | <gadget id="calculator">138 + 143 + 141 + 139 + 137 + 142</gadget>
<output>840</output>
<gadget id="calculator">840 / 6</gadget>
<output>140</output>
<result>140</result> | 140 | calc |
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