id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__PHIvuDrOme3Ocqaw | In an election, candidate Smith won 52% of the total vote in Counties A and D. He won 61% of the vote in County A. If the ratio of people who voted in County A to County D is 3:1, what percent of the vote did candidate Smith win in County D ?
Select
A) A.25% B) B.27% C) C.34% D) D.43% E) E.49% | (61%)*3x + (y%)*x = (52%)*4x y = 25% of County D hence answer is A.25%.
<result>A</result> | A | calc |
ape210k__00219990 | For a five-digit number, the sum of its digits is 34. What is the minimum number for this five-digit number? | <result>16_999</result> | 16_999 | calc |
aqua_rat__lCBaqVH3RVxTOSfZ | If x and y are integers and 2x–y= 11, then 4x+ y CANNOT be Choose the correct answer: A) –5 B) 1 C) 13 D) 17 E) 55 | 2x-y=11 2x=11+y 4x=22+2y now we need to check the value of 4x+4 => 22+2y+y=22+3y hence 22+3y=value(in the options) so y=value-22/3 so checking the options only 17 is unfit ANSWER:17
<result>D</result> | D | calc |
ape210k__00302942 | What is the quotient of the sum of 82 and 38 divided by 12? | <gadget id="calculator">82 + 38</gadget>
<output>120</output>
<gadget id="calculator">120 / 12</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00366164 | The minute hand of a clock is 5 cm long. From 7 am to 8 am, what is the area swept by the minute hand in square centimeters? | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3.14 * 25</gadget>
<output>78.5</output>
<result>78.5</result> | 78.5 | calc |
aqua_rat__kH0qB7u4COrVVoAf | An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time S will it take to fill the bucket to full capacity? Answers:
A) 7/18 B) 9/18 C) 2 D) 18/7 E) 18/5 | Solution - Work and Time are directly proportional. W1/W2=T1/T2 7/10 work in 6 mins 1 work in T mins (7/10)/1 = 6/T -> T = 60/7 mins. Remaining minutes to fill the tank S= 60/7 - 6 = 18/7 mins. ANS 18/7.
<result>D</result> | D | calc |
ape210k__00456072 | Master Wang needs to process 48 parts, and has already processed 12 parts. The rest is calculated by processing 9 per hour, how many hours will it take to complete. | <gadget id="calculator">48 - 12</gadget>
<output>36</output>
<gadget id="calculator">36 / 9</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__b7wBdb3RvgpjlYgW | Find the value of y from (12)^3 x 6^4÷432 =y?
Choices.
A) 4363 B) 4765 C) 4879 D) 6789 E) 5184 | Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184 432 12 x 62 5184
<result>E</result> | E | calc |
ape210k__00385206 | A rectangular tablecloth has a perimeter of 44 decimeters. After cutting off a piece of cloth 2 decimeters wide, it becomes a square. What is the area of this square in square meters? | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">44 - 4</gadget>
<output>40</output>
<gadget id="calculator">40 / 4</gadget>
<output>10</output>
<gadget id="calculator">40 / 4 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">10 * (1/10)</gadget>
<output>1</o... | 1 | calc |
ape210k__01097807 | The diameter of the base of the circle is 6 cm and the height is 8 cm. What is the volume of the circle in cubic centimeters? | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9 * 8</gadget>
<output>226.08</output>
<result>226.08</result> | 226.08 | calc |
ape210k__00405675 | There are 240 books in the school, which are placed on 4 bookshelves on average, and each shelf has 6 floors. How many books are placed on each floor? | <gadget id="calculator">240 / 4 / 6</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00395278 | Master Wang needs to process 520 parts, 352 of which have already been made, and the remaining parts will be completed in 7 days. How many parts are made on average per day? | <gadget id="calculator">520 - 352</gadget>
<output>168</output>
<gadget id="calculator">168 / 7</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00066256 | The area of a triangle is 2.5 square meters, its base is 0.5 meters, how many meters is its height? | <gadget id="calculator">2.5 / 0.5</gadget>
<output>5</output>
<gadget id="calculator">2 * 5</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__01152313 | What is the reciprocal of (7/2). | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<result>2/7 = around 0.285714</result> | 2/7 | calc |
ape210k__00237305 | The ratio of divisor and dividend is 1:3, the sum of dividend, divisor and quotient is 35, what is the dividend. | <gadget id="calculator">3 / 1</gadget>
<output>3</output>
<gadget id="calculator">35 - 3</gadget>
<output>32</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">3 / 1 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">32 * (3/4)</gadget>
<output>24</output... | 24 | calc |
aqua_rat__i1dIqUCrMSP6eBSk | If X-Y = 2X-2Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z? Choose the correct choice from the following choices.
A) -4.5.
B) -2.
C) -1.7.
D) -0.667.
E) 2.5. | X-Y = 2X-2Z Y= -X+2Z---------- 1 X-2Y = 4Z X-4Z= 2Y--------- 2 Adding equation 1 from equation 2 -2Z= 3Y Y/Z= -0.667 -0.667. is the answer
<result>D</result> | D | calc |
aqua_rat__mBqmP25EYZNtA6RE | Two cars start from the opposite places of a main road, 105 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 ... | Answer: 20) 20 km
<result>C</result> | C | calc |
ape210k__00470499 | The upper floor where Qingqing lives has the same number of steps. Qingqing walks a total of 48 steps from the first floor to the third floor. How many steps does it take to walk from the first floor to the sixth floor? | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">48 / 2</gadget>
<output>24</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">24 * 5</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
aqua_rat__CGB3ENsDvFxKrnM0 | Kuber borrowed rs 169 due in 2 years at 4%per annum compound interest.Find the Present worth? Pick one.
A) 160.15 B) 225 C) 156.25 D) 180.25 E) 150.5 | 156.25ompound interest=[169*(1+(4/100))^2] =[169*((104/100)^2)] =(169*((26/25)^2)) =(169*25*25)/(26*26) =Rs.156.25 Option 156.25
<result>C</result> | C | calc |
ape210k__00471678 | Xiaohong travels (3/8) kilometers in (1/5) hours, how many hours does it take her to travel 1 kilometer? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(1/5) / (3/8)</gadget>
<output>8/15 = around 0.533333</output>
<result>8/15 = around 0.533333</result> | 8/15 | calc |
ape210k__00404515 | Xiaohong made 186 shots in the first 3 minutes and 104 shots in the last 2 minutes. How many shots does Xiaohong take on average per minute? | <gadget id="calculator">186 + 104</gadget>
<output>290</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">290 / 5</gadget>
<output>58</output>
<result>58</result> | 58 | calc |
ape210k__00511841 | There was an expedition that brought a total of 38 bowls. When eating, each person has a rice bowl, three people share a vegetable bowl, and four people share a soup bowl, which is just enough. How many people are there in this expedition? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/3) + (1/4)</gadget>
<output>19/12 = around 1.583333</output>
<gadget id="calculator">38 / (19/12)</gadget>
<output>24</output>
<resul... | 24 | calc |
ape210k__00351048 | Divide a 10-meter-long rope into 5 parts, and each section is ((())/(())) of the rope. | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
aqua_rat__MYMk53MQ9UiekaTz | In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? Choose the correct choice from the following answers.
A) 30%
B) 70 percent
C) 100%
D) 120%
E) None | Solution Let C.P. = Rs. 100. Then, Profit = Rs.320, S.P. = 420. Let C.P. = Rs. 125% of Rs. 100 = Rs.125. New S.P. = Rs.420. Profit = Rs. (420 - 125) = Rs.295. ∴ Required percentage = (295 / 420 x 100)% = 1475 / 21% = 70%. Answer 70 percent
<result>B</result> | B | calc |
aqua_rat__ObkO696iWyWGNL68 | A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ?
Choose the most appropriate option
A) 74 B) 25 C) 27 D) 91 E) 11 | Number of runs scored more to increse the ratio by 1 is 26 - 14=
<gadget id="calculator"> 26 - 14</gadget>
<output>12</output>
12 To raise the average by one (from 14 to 15), he scored 12 more than the existing average. Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5= 60 more than ... | A | calc |
math_qa__Cx69HnF27uQ2FBGi | Which number can we add to 859722 to get a number exactly divisible by 456? Choose the correct choice
A) 294 B) 306 C) 318 D) 338 E) 362 | <gadget id="calculator">859_722 % 456</gadget>
<output>162</output>
<gadget id="calculator">456 - 162</gadget>
<output>294</output>
<result>A</result> | A | calc |
ape210k__00378489 | According to 14*18=252, fill in the appropriate number in the brackets. 0.014*18=how much*1.8=0.252. | <result>0.14</result> | 0.14 | calc |
ape210k__00345391 | The engineering team repaired a road. In the first week, 1/4 of the full length was repaired. In the second week, it was 300 meters longer than in the first week, leaving 340 meters. How many meters is the total length of this road? | <gadget id="calculator">300 + 340</gadget>
<output>640</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4) - (1/4)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">640 / (1/2)</gadget>
<output>1_280</output>
<result>1_280</result> | 1_280 | calc |
aqua_rat__xFPgV6KdZjKTfFuQ | S and T are two-digit positive integers that have the same digits but in reverse order. If the positive difference between S and T is less than 50, what is the greatest possible value of S minus T? Choose the correct answer.
A) 40
B) 42
C) 44
D) 45
E) 48 | A two-digit integer "ab" can be expressed algebraically as 10a+b. S-T=(10a+b)-(10b+a)=9(a-b)<50. The greatest multiple of 9 which is less than 50 is 45. The answer is 45.
<result>D</result> | D | calc |
aqua_rat__qmzYruoDpFPAhuVF | Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y? Choose the correct choice: A) 187 m B) 420 m C) 197 m D) 167 m E) 186 m | Let the length of the stationary train Y be LY Given that length of train X, LX = 300 m Let the speed of Train X be V. Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively. => 300/V = 25 ---> ( 1 ) (300 + LY) / V = 60 ---> ( 2 ) From (1) V = 300/25=
<gadget id="ca... | B | calc |
ape210k__00218313 | There are 10 red balls and 10 yellow balls in the bag, at least how many balls must be touched to ensure that there are red balls and yellow balls. | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
aqua_rat__zNWUkZWQAcrxgyuW | A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work? Choose the correct choice from the following choices:
A) 11 days B) 77 days C) 15 days D) 18 days E) 19 days | B's 1 day work = (1/12 - 1/20) = 1/30 Now, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15 So, A and B together will complete the work in 15 days. Answer:15 days
<result>C</result> | C | calc |
aqua_rat__sY3qGnvuvM4xfTOm | A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes? Choices
A) 100 m
B) 276 m
C) 186 m
D) 187 m
E) 124 m | Relative speed of the thief and policeman = 11 - 10=
<gadget id="calculator">11 - 10</gadget>
<output>1</output>
1 km/hr. Distance covered in 6 minutes= 1/60 * 6 = 1/10 km = 100 m. Distance between the thief and policeman = 200 - 100=
<gadget id="calculator">200 - 100</gadget>
<output>100</output>
100 m. 100 mn... | A | calc |
math_qa__C5eV5hRv6dj50skO | In an election between two candidates, the first candidate got 60% of the votes and the second candidate got 480 votes. What was the total number of votes? Options:
A) 900 B) 1200 C) 1500 D) 1800 E) 2100 | <gadget id="calculator">480 * 100</gadget>
<output>48_000</output>
<gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">48_000 / 40</gadget>
<output>1_200</output>
<result>B</result> | B | calc |
ape210k__00652369 | A factory used 5,400 tons of coal in July, and it saved (1/9) less in August than in July. How many tons of coal was used in August? | <gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">5_400 * (1/9)</gadget>
<output>600</output>
<gadget id="calculator">5_400 - 600</gadget>
<output>4_800</output>
<result>4_800</result> | 4_800 | calc |
aqua_rat__K4a0LjCgFP3OxIxp | A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 50 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
Choose the correct answer.
A) 5... | Pastry is divided in 50 customers equally. So,total number of pastry must be a multiple of 50 Only option 500. satisfies the condition, and hence is the answer
<result>A</result> | A | calc |
ape210k__01138209 | A car travels 80 kilometers per hour. And the speed of a truck is slower than that of a car (1/4), how many kilometers does the truck travel per hour? | <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">80 * (3/4)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00841367 | A cuboid becomes a cube if its height is reduced by 4 cm, and its volume is reduced by 48 cm3. What is the surface area of the cube? | <gadget id="calculator">48 / 4</gadget>
<output>12</output>
<gadget id="calculator">12 * 6</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
ape210k__00257434 | The length of a rectangle is (5/6) decimeters, and the width is (2/3), what is the area of the rectangle? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(5/6) * (2/3) * (5/6)</gadget>
<output>25/54 = around 0.462963</output>
<result>25/54 = around 0.462963</result> | 25/54 | calc |
ape210k__00271407 | There were 72 students in the first grade who paid a total of □52.7□ for extra meals between classes, (□unclear) how much each person paid. | <gadget id="calculator">252.72 / 72</gadget>
<output>3.51</output>
<result>3.51</result> | 3.51 | calc |
ape210k__00213318 | batch of oranges is shipped from the fruit shop, 40% of the total number is sold on the first day, and 140 kilograms are sold on the second day. The mass ratio of the rest to the sold is 4:3. How many kilograms does this batch of oranges weigh? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">1 - (2/5) - (4/7)</gadget>
<output>1/35 = around 0.028571</output>
<gadget id="c... | 4_900 | calc |
ape210k__00724579 | A conical pile of wheat has a base radius of 2 meters and a height of 1.2 meters. If each cubic meter of wheat weighs 500 kilograms, how many kilograms does this pile of wheat weigh? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">(1/3) * 3.14 * 4 * 1.2 * 500</gadget>
<output>2_512</output>
<result>2_512</result> | 2_512 | calc |
ape210k__00896659 | There is a stack (1uò) of paper with a height of 3 decimeters. If it is divided into small stacks every 5 cm, how many small stacks can it be divided into? | <gadget id="calculator">3 * 10</gadget>
<output>30</output>
<gadget id="calculator">30 / 5</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00000846 | In archery, the number of rings obtained by shooting an arrow is a natural number not exceeding 10. Two athletes, A and B, shoot 6 arrows each, and the product of the number of rings obtained by each of the 6 arrows is 8820, so what is the maximum difference between the total number of rings of the two players? | <gadget id="calculator">1 + 2 + 9 + 7 + 7 + 10</gadget>
<output>36</output>
<gadget id="calculator">3 + 3 + 4 + 5 + 7 + 7</gadget>
<output>29</output>
<gadget id="calculator">36 - 29</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
math_qa__Es4VOLD5tFVAgcSB | Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage X. Choose the correct choice from the following options.
A) 16.8 % B) 17.4 % C) 17.9 %... | <gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">20 * 21</gadget>
<output>420</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) + 1</gadget>
<output>5/4 = ... | B | calc |
ape210k__00628829 | There are 10 students in the first team of Class 1, Class 6. Whenever the holidays come, every two people talk on the phone once. I wish each other a happy holiday. During the National Day, they talked on the phone as agreed. How many times did they call in total? How many | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">9 * 5</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
aqua_rat__ryplcnQ8kUwc2fqJ | If 3 men or 4 women can reap a field in 10 days how long will 5 men and 6 women take to reap it? Pick:
A) 19/60
B) 9/60
C) 2/3
D) 5/18
E) 6/24 | Explanation: 3 men reap 1/10 field in 1 day 1 man reap 1/(3 x 10) 4 women reap 1/10 field in 1 day 1 woman reap 1/(10 x 4) 5 men and 6 women reap (5/(3 x 10)+ 6/(4 x 10)) =19/60 in 1 day 5 men and 6 women will reap the field in 19/60 days 19/60nswer: Option 19/60
<result>A</result> | A | calc |
ape210k__00260713 | 6-digit number that does not contain 0, the number of each digit is different, any 3 adjacent three-digit numbers are multiples of 3, how many such 6-digit numbers are there? | <gadget id="calculator">3 * 3 * 3</gadget>
<output>27</output>
<gadget id="calculator">2 * 2 * 2</gadget>
<output>8</output>
<gadget id="calculator">6 * 27 * 8</gadget>
<output>1_296</output>
<result>1_296</result> | 1_296 | calc |
gsm8k__5WRB8Xlcr8cKQPFp | A group of researchers are studying a colony of penguins. Their results show that the size doubled in the first year they watched the colony, then tripled in the next year. This year, however, harsh conditions meant the colony only gained 129 penguins. The colony has 1077 penguins in it now. Each penguin eats one and a... | The colony had 1077 - 129 =
<gadget id="calculator">1077-129</gadget>
<output>948</output>
948 penguins in it at the beginning of this year.
At the beginning of the second year, the colony had 948 / 3 =
<gadget id="calculator">948/3</gadget>
<output>316</output>
316 penguins in it.
At the beginning of the first year,... | 237 | calc |
ape210k__00265187 | 123456789□□, this 11-digit number can be divisible by 36, so what is the smallest number in the ones digit of this number. | <result>0</result> | 0 | calc |
aqua_rat__Dr1fMjbVYBw4WFpV | In Solution P, the proportion of water to alcohol is 3:1. In Solution Q, the proportion of water to alcohol is 2:1. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
Choose the correct choice from the following answers.
A) ... | Let V be the total volume of the new solution. The amount of alcohol added from Solution P is (1/4)*V/2=(1/8)*V The amount of alcohol added from Solution Q is (1/3)*V/2=(1/6)*V The total amount of alcohol in the new solution is (1/8+1/6)*V=(7/24)*V The alcohol concentration is 7/24=29% (approximately) The ans... | B | calc |
ape210k__00546163 | The edge length of the small cube is 5 cm, and the edge length of the large cube is 20% longer than that of the small cube. By what percentage is the volume of the large cube larger than that of the small cube? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">5 * (6/5)</gadget>
<output>6</output>
<gadget id="calculator">6 * 6 * 6</gadget>
<output>216</output>
<gadget id="calculator">5 * 5 * 5</ga... | 91/125 | calc |
ape210k__00922729 | Calculation: (1/(1*5))+(1/(5*9))+(1/(9*13))+(1/(13*17))+…+(1/(25* 29)). | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 29</gadget>
<output>1/29 = around 0.034483</output>
<gadget id="calculator">1 - (1/29)</gadget>
<output>28/29 = around 0.965517</output>
<gadget id="calculator">(1/4) * (28/29)</gadget>
<output>7/29 = around 0.24137... | 7/29 | calc |
ape210k__00246206 | At 9:30 on the clock face, what is the smallest angle formed by the hour and minute hands? | <gadget id="calculator">360 / 60</gadget>
<output>6</output>
<gadget id="calculator">15 + 2.5</gadget>
<output>17.5</output>
<gadget id="calculator">6 * 17.5</gadget>
<output>105</output>
<result>105</result> | 105 | calc |
aqua_rat__ykAB0IDyO82TF1st | A takes twice as much time as B & C takes thrice as much time as B to finish a piece of work. Working together they can finish the work in 18 days. The no. of days need for B to do the work alone is? Choose the correct choice from the following choices
A) 30 days
B) 31 days
C) 33 days
D) 41 days
E) 52 days | Let A takes x days to complete the work , then B takes x/2 days and C takes 3x/2 days to complete the work. A,B and 33 days together complete the work in 18 days In 1 day , all they together can do => 1/x+ 2/x+ 2/3x = 1/18 3+6+2/3x = 1/18 3x23x2 = 18 X = 66 days The number of days B alone takes... | C | calc |
math_qa__Ey484XpbonrOgIA2 | A die is rolled twice. What is the probability of getting a sum equal to 9?
Select the correct option: A) 2 / 9 B) 5 / 7 C) 1 / 7 D) 1 / 9 E) 3 / 7 | <gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<result>D</result> | D | calc |
gsm8k__MX0zVVBmBJMJrDfe | Tamika drove for 8 hours at an average speed of 45 miles per hour. Logan drove for 5 hours at 55 miles an hour. How many miles farther did Tamika drive? | Tamika drove 8 hours * 45 mph =
<gadget id="calculator">8*45</gadget>
<output>360</output>
360 miles.
Logan drove 5 hours * 55 mph =
<gadget id="calculator">5*55</gadget>
<output>275</output>
275 miles
360 - 275 =
<gadget id="calculator">360-275</gadget>
<output>85</output>
85 miles.
Tamika drove 85 miles farther.
... | 85 | calc |
aqua_rat__TGJbz8Q0te28Fz1G | Two trains 110 meters and 140 meters long are running in the same direction with speeds of 102 km/hr, 66 km/hr. In how much time will the first train cross the second Options: A) 22 sec B) 25 sec C) 27 sec D) 23 sec E) 30 sec | Explanation: Relative speed of the trains = (102 - 66) km/hr = 36 km/hr = (36× 5/18) m/sec = 10 m/sec. Time taken by the trains to cross each other = Time taken to cover (110 + 140) m at 10 m /sec = (250/10)=
<gadget id="calculator">(250/10)</gadget>
<output>25</output>
25 sec. Answer: Option 25 sec
<result... | B | calc |
ape210k__01011369 | Xiaohong and Xiaoli start from opposite ends of a bridge at the same time, and travel back and forth between the two ends. Xiaohong walks 96 meters per minute, and Xiao Li walks 105 meters per minute. After 5 minutes, the two meet for the second time. How long is the bridge? | <gadget id="calculator">96 + 105</gadget>
<output>201</output>
<gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">201 * (5/3)</gadget>
<output>335</output>
<result>335</result> | 335 | calc |
aqua_rat__lzCQsduZBZe272lr | Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time? Choose the correct choice from the following.
A) 17 1/7 B) 17 1/6 C) 17 1/7 D) 17 1/1 E) 17 1/2 | 1/20 + 1/30 - 1/40 = 7/120 120/7 = 17 1/7 Answer: 17 1/7
<result>C</result> | C | calc |
ape210k__00080071 | Dad plans to pave the upper bricks for the bright little study room. It takes 100 square bricks with a side length of 3 decimeters. If the square bricks with a side length of 5 decimeters are used instead, how many square bricks are needed? (Solve with ratio) | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 * 100</gadget>
<output>900</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">900 / 25</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00342864 | Wang Fei traveled 240 kilometers at a speed of 40 kilometers per hour, and traveled 60 kilometers per hour when returning the same way. What is the average speed of Wang Fei's round trip in kilometers per hour? | <gadget id="calculator">240 * 2</gadget>
<output>480</output>
<gadget id="calculator">240 / 40</gadget>
<output>6</output>
<gadget id="calculator">240 / 60</gadget>
<output>4</output>
<gadget id="calculator">6 + 4</gadget>
<output>10</output>
<gadget id="calculator">480 / 10</gadget>
<output>48</output>
<result>48... | 48 | calc |
ape210k__01158205 | If the sum of 5 consecutive even numbers is 100, what is the largest even number? | <gadget id="calculator">100 / 5</gadget>
<output>20</output>
<gadget id="calculator">20 + 4</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00946447 | All the even-numbered pages of a book use 397 numbers to write page numbers. How many numbers are used to write page numbers in this book? | <gadget id="calculator">201 * 3</gadget>
<output>603</output>
<gadget id="calculator">603 + 180 + 9</gadget>
<output>792</output>
<result>792</result> | 792 | calc |
ape210k__00306789 | Xiaohong's father is 35 years old this year, and her mother is younger than her father (1/7). How old is her mother this year? | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 - (1/7)</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">35 * (6/7)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__xed0idinmBTtn5Tb | how many internal diagonals does a hexagon (six sided polygon) have? Options:
A) 5 B) 6 C) 8 D) 9 E) 10 | Number of diagonals in any polygon can be found using this formula: n(n-3)/2 Here n = 6 No. of diagonals = 6(6 - 3)/2 = 9 Ans 9
<result>D</result> | D | calc |
ape210k__00927061 | A book has 180 pages, Xiaoxiao has already read 40 pages, and the rest should be read within a week. How many pages do you read on average per day? | <gadget id="calculator">180 - 40</gadget>
<output>140</output>
<gadget id="calculator">140 / 7</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__TRiiXDrZ5R8Qeuo8 | Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, F, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X? Choose the correct answer.
A) 14 B) 16 C) 17 D) 20 E) 26 | Since 11Y = Even therefore Y has to beEVENsince 11 is a odd integer (Even * Odd = Even) Similarly, Y is the product of all integers in set X But all integers in Set X are odd except the unknown F and since X contains only prime numbers, F has to equal to 2... ( 2 is the only even prime number and the product of all p... | C | calc |
aqua_rat__BUaS0goQ4wHKjjCM | The navy pilots are practicing flight formations. 200 pilots are practicing flying in rectangles. They want to make a rectangular formation with X planes in a row and Y planes in a column. If the
number of airplanes in a row is no less than 5 and no more than 40, how many different combinations of rectangular shapes ar... | firstly factors of 200 = 1,2,4,5,8,10,20,25,40,50,100,200 the question says each row will have airplanes not less than 5 and not more than 40, therefore, we should be interested in the factors starting from 5 til 40 (inclusive) 5(in each row) * 40(number of columns) =200, similarly 8 * 25 10 * 20 20 * 10 ... | A | calc |
ape210k__00395088 | A rectangular vegetable field is 5 meters wide and twice as long as it is wide. If there is a rectangular vegetable field around it, fences are placed around it. How many meters of fence is needed? | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">10 + 5</gadget>
<output>15</output>
<gadget id="calculator">15 * 2</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00179754 | There are 50-100 students who participated in the mathematics competition in the sixth grade of the school. Those who won the first prize accounted for (1/7) of the total number of participants, and those who won the second prize accounted for (1/6) of the total number of participants. Those who are waiting for the pri... | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/7) - (1/6) - (1/3)</gadget>
<output>5/14 = around 0.... | 30 | calc |
aqua_rat__Pyryv4fk9lE4hY4H | A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is? Pick one:
A) 1797
B) 2970
C) 2782
D) 4200
E) 208... | 15:25 => 3:5 9600*10/100=
<gadget id="calculator">9600*10/100</gadget>
<output>960</output>
960 9600 - 960=
<gadget id="calculator">9600 - 960</gadget>
<output>8_640</output>
8640 8640*3/8=
<gadget id="calculator">8640*3/8</gadget>
<output>3_240</output>
3240 + 960=
<gadget id="calculator">3240 + 960</gadg... | D | calc |
aqua_rat__CYCRUCHD625VmdtQ | Rajeswari went to the stationers and bought things worth Rs. 100, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 10%. then what was the cost of the tax free items?
Pick one:
A) Rs. 90.50 B) Rs. 89.50 C) Rs. 94.00 D) Rs. 99.50 E) Rs. 94.50 | Solution Let the amount of taxable purchases be Rs.x. Then, 10% of x = 50/100 x ‹=› (50/100×100/10) = 5 Cost of tax free items = Rs.[100 - (5 + 0.50)] = Rs. 94.50 Answer Rs. 94.50
<result>E</result> | E | calc |
ape210k__00418450 | The circumference of a circular flower bed is 62.8m. After the extension, the radius increases by 2m. How much does the area increase? | <gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">62.8 / 6.28</gadget>
<output>10</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">12 ** 2</gadget>
<output>144</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<g... | 138.16 | calc |
aqua_rat__NTvUWcQbi0trh6Rg | A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 3 minutes?
Select the correct option:
A) 36 B) 54 C) 162 D) 216 E) 324 | Direct Relationship:- 1 standard Veggiematik machine - 36 162arrots - 4 minutes, 1 standard Veggiematik machine - 9 162arrots - 1 minute, Now 6 standard Veggiematik machine - ? 162arrots - 3 minutes, Hence = 9X6X3 =324 162arrots Answer 162
<result>C</result> | C | calc |
aqua_rat__iV5pb2gG21rUcLLz | A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it... | Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500. Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000. Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P) Total income of B = only his share from ... | D | calc |
ape210k__01200509 | The side length of an equilateral triangle vegetable field is 20 meters. How many meters of fence is needed to enclose this vegetable field? | <gadget id="calculator">20 * 3</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
gsm8k__Bv2tIYzaWcjWA5CU | A hay farmer harvested 560 bales of hay from 5 acres of grass per month last year. This year, he planted an additional 7 acres of grass. If the farmer also owns 9 horses and each horse consumes 3 bales of hay a day, how many bales of hay would the farmer have left by the end of December if he starts feeding them this y... | For every acre of grass, the farmer can harvest 560/5 =
<gadget id="calculator">560/5</gadget>
<output>112</output>
112 bales of hay each month.
This year, the farmer has 7 + 5 =
<gadget id="calculator">7+5</gadget>
<output>12</output>
12 acres of grass.
He can expect to harvest 12 x 112 =
<gadget id="calculator">12... | 12_834 | calc |
ape210k__01136687 | Xiaoming's mother bought a set of western dining table and chairs for 1950 yuan. There are 6 chairs, each of which is 105 yuan. How much does this western dining table cost? | <gadget id="calculator">105 * 6</gadget>
<output>630</output>
<gadget id="calculator">1_950 - 630</gadget>
<output>1_320</output>
<result>1_320</result> | 1_320 | calc |
ape210k__00305036 | The length of a cuboid is 15 cm, the width is 12 cm, and the height is 10 cm. After dividing the block into three cuboids, how many square centimeters can its surface area increase? | <gadget id="calculator">15 * 12 * 4</gadget>
<output>720</output>
<result>720</result> | 720 | calc |
ape210k__00227802 | Which of the following fractions is not equal to (9/9) | <gadget id="calculator">99 / 100</gadget>
<output>99/100 = around 0.99</output>
<result>99/100 = around 0.99</result> | 99/100 | calc |
ape210k__00892067 | A car has a load of 4 tons. It is used to transport a batch of goods. It has been transported 5 times, and there are still 24 tons left. How many tons of this batch of goods are there? | <gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">20 + 24</gadget>
<output>44</output>
<result>44</result> | 44 | calc |
aqua_rat__7h72Hftef5HdJe59 | What distance (in meters) will be covered by a bus moving at 54 km/hr in 20 seconds? Choose the correct choice from the following answers: A) 200 B) 250 C) 300 D) 350 E) 400 | 54 km/hr = 54 * 5/18=
<gadget id="calculator">54 * 5/18</gadget>
<output>15</output>
15 m/s distance= 15 * 20=
<gadget id="calculator">15 * 20</gadget>
<output>300</output>
300 meters The answer is 300.
<result>C</result> | C | calc |
ape210k__00117682 | The female workers in the textile factory accounted for 5/8 of the total number of workers. Later, 30 female workers were transferred in. At that time, the number of female workers was twice the number of male workers. How many workers are there in the whole factory now? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 - (5/8)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(5/8) / (3/8)</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">2 - (5/3)</gadget>
<output>1/3 = around 0.333333</out... | 270 | calc |
ape210k__00153472 | If a number is multiplied by 13, the result is 108 more than the original number. What is the original number? what is the correct formula | <gadget id="calculator">13 - 1</gadget>
<output>12</output>
<gadget id="calculator">108 / 12</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__jcFbeL6Yutbign5f | If p and q are positive integers, how many integers are larger than pq and smaller than p(q + 4)? Pick one.
A) 4p - 1 B) P + 2 C) p – 2 D) 2p – 1 E) 2p + 1 | The number of integers between x and y, where x>y is (x-y)-1. For example, the number of integers between 1 and 5 is (5-1)-1=
<gadget id="calculator"> (5-1)-1</gadget>
<output>3</output>
3: 2, 3, and 4. Thus, the number of integers between pq and p(q+4)=pq+4p is (pq+4p-pq)-1=4p-1. 4p - 1nswer: 4p - 1.
<result>... | A | calc |
ape210k__01091995 | The area of a rectangle is 36 square centimeters. If the length remains the same and the width increases from 5 centimeters to 10 centimeters, what is the area now? | <gadget id="calculator">36 / 5</gadget>
<output>36/5 = around 7.2</output>
<gadget id="calculator">(36/5) * 10</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
aqua_rat__yhsC9LIEFipfNMjo | There are a total of 15 numbers with an average of 11. The average of first seven numbers is 14 and the average of last seven numbers is 6. What is the middle number? Select.
A) 31
B) 24
C) 29
D) 25
E) 21 | The total of 15 numbers = 15X11 = 165 The total of first 7 and last 7 numbers is = 7 X 14+7 X 6 = 140 So, the middle number is (165 - 140 )=
<gadget id="calculator"> (165 - 140 )</gadget>
<output>25</output>
25 25
<result>D</result> | D | calc |
ape210k__00351656 | There are 480 apple trees in the orchard, the number of pear trees is 5/8 of apple trees, and 3/4 of orange trees. How many orange trees are there? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(5/8) / (3/4)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">480 * (5/6)</gadget>
<output>400</output>
<result>400</re... | 400 | calc |
aqua_rat__VzeRFE5yvJHjwodc | Two trains of length 120 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? Choose the correct choice from the following answers
A) 10 sec B) 22 sec C) 82 sec D) 20 sec E) 89 sec | Relative speed = (42 + 30) * 5/18 = 4 * 5=
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
20 mps. Distance covered in passing each other= 120 + 320=
<gadget id="calculator">120 + 320</gadget>
<output>440</output>
440 m. The time required= d/s = 440 /20=
<gadget id="calculator">440 /20</gadget>
<outpu... | B | calc |
gsm8k__ILpScqNqnCRhTbSm | Phillip's mother asked him to go to the supermarket to buy some things and gave him $95, so he spent $14 on oranges, $25 on apples and $6 on candy. How much money does he have left? | If we add everything Phillip bought, we will have: $14 + $25 + $6 = $
<gadget id="calculator">14+25+6</gadget>
<output>45</output>
45.
He spent $45, and we know that he had $95 dollars, so now we have to subtract: $95 - $45 = $
<gadget id="calculator">95-45</gadget>
<output>50</output>
50.
<result>50</result> | 50 | calc |
aqua_rat__DKmDLwWUg9VnRVD2 | A can do double work of B.so,A take 15 days less than B in doing a work.then both together in how much days will finish that work?
Choose the correct answer: A) 10 B) 12 C) 15 D) 8 E) 16 | let alone finish a work in x days.,then B will take 2x days 2x-x=15,x=15. so,10 alone finish this work in 15 days and B alone finish this work in 30 days work of 10 in 1 days=1/15,work of B in 1 days=1/30 (10+B) work in 1 days=1/10 so, together they finish the work in 10 days answer 10
<result>A</result> | A | calc |
aqua_rat__phynGQAFI3uakC6R | To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 10%, and reduce the price it charges its consumers by 10% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese? ... | Take smart numbers Let, L = 20: B = 10: H= 10 of initial box and Price = 50$ Therefore Price / cubic inch = 50 / (20*10*10)=
<gadget id="calculator">50 / (20*10*10)</gadget>
<output>1/40 = around 0.025</output>
0.025 Now, when dimensions are reduced by 10% and price also reduced by 10% L= 18; B=9; H=9 and Pr... | A | calc |
ape210k__01042525 | To build a road, 34.5 kilometers have been repaired, and the rest is 13.6 kilometers less than the repaired one. How many kilometers is the total length of this road? | <gadget id="calculator">34.5 - 13.6</gadget>
<output>20.9</output>
<gadget id="calculator">20.9 + 34.5</gadget>
<output>55.4</output>
<result>55.4</result> | 55.4 | calc |
aqua_rat__NfhxPeobCZKxYceJ | . A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choose the correct option
A) 16 2/3% B) 20% C) 18% D) 25% E) 35% | 900 ---- 180 100 ---- ? => 20% ANSWER:20%
<result>B</result> | B | calc |
aqua_rat__tSAVsmHbn9YR6UoH | On a certain transatlantic crossing, 15 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets? Choose the correct cho... | 0.15P = RT + C 0.6(RT) = no C => 0.40(RT) had C 0.15P = 0.40(RT) RT/P = 37.5% 37.5%nswer - 37.5%
<result>A</result> | A | calc |
aqua_rat__QsvLfVvOaWMqXlj3 | If Re.5 amounts to Rs.20 over a period of 3 years. What is the rate of simple interest? Pick one.
A) 80% B) 90% C) 100% D) 110% E) 115% | 15 = (5*3*R)/100 R = 100% Answer:100%
<result>C</result> | C | calc |
aqua_rat__eBEfObi3QxBCMzxW | A lady grows cabbage in her garden that is in the shape of a square. Each cabbage takes 1 square foot of area in her garden. This year, she has increased her output by 127 cabbages when compared to last year. The shape of the area used for growing the cabbage has remained a square in both these years. How many cabbages... | Explanatory Answer The shape of the area used for growing Cabbage has remained a square in both the years. Let the side of the square area used for growing Cabbage this year be X ft. Therefore, the area of the ground used for cultivation this year = X2 sq.ft. Let the side of the square area used for growing Cab... | A | calc |
ape210k__00259581 | The average age of A, B, and C is 15 years old, and the average age of A and B is 13 years old. How old is C? | <gadget id="calculator">3 * 15</gadget>
<output>45</output>
<gadget id="calculator">2 * 13</gadget>
<output>26</output>
<gadget id="calculator">45 - 26</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
ape210k__01139061 | The ratio of the number of people in the first, second and third workshops of the printing factory is 5:3:4. The first workshop has 60 more people than the second workshop. How many people are there in the three workshops? | <gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<gadget id="calculator">5 + 3 + 4</gadget>
<output>12</output>
<gadget id="calculator">30 * 12</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
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