id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00203507 | A parallelogram is formed by connecting two 6 cm and two 4 cm sticks end to end. Of all the parallelograms formed, what is the largest area in square centimetres? | <gadget id="calculator">6 * 4</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
math_qa__7WxWcw30Khludu7F | There are 6 working days in a regular week and for each day, the working hours are 10. A man earns Rs. 2.10 per hour for regular work and Rs. 4.20 per hour for overtime. If he earns Rs.525 in 4 weeks, how many hours did he work? Choose the correct choice from the following options: A) 225 B) 235 C) 215 D) 255 E) ... | <gadget id="calculator">4 * 6</gadget>
<output>24</output>
<gadget id="calculator">24 * 10</gadget>
<output>240</output>
<gadget id="calculator">240 * 2.1</gadget>
<output>504</output>
<gadget id="calculator">525 - 504</gadget>
<output>21</output>
<gadget id="calculator">21 / 4.2</gadget>
<output>5</output>
<gadge... | E | calc |
ape210k__00169513 | It costs 25.5 yuan to buy a piece of clothing, and 2.5 yuan less to buy a pair of trousers. How much does it cost to buy a set? | <gadget id="calculator">25.5 - 2.5</gadget>
<output>23</output>
<gadget id="calculator">23 + 25.5</gadget>
<output>48.5</output>
<result>48.5</result> | 48.5 | calc |
aqua_rat__Yp1L3zxdpMMPxyvA | If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is? Choose the correct choice from the following options
A) Rs. 400
B) Rs. 450
C) Rs. 460
D) Rs. 480
E) Rs. 580 | Let the sum be Rs. P. Then, [P(1 + 25/(2 * 100))2 - P] = 510 P[(9/8)2 - 1] = 510. Sum = Rs. 1920 So, S.I. = (1920 * 25 * 2) / (2 * 100) = Rs. 480 ANSWER:Rs. 480
<result>D</result> | D | calc |
aqua_rat__eaqhiThI3VrnVzKF | A river 7m deep and 75 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
Pick
A) 54996.5 B) 32296.5 C) 34996.5 D) 34996.5 E) 31255.5 | Rate of water flow-4kmph--4000/60--66.66 m/min depth of river--7m width of river--75m vol of water per min--66.66 *7*75---34996.5 Answer 34996.5
<result>C</result> | C | calc |
ape210k__00981901 | Move the decimal point of a decimal two places to the left to get a new number which is 44.55 less than the original number. What is the original number? | <gadget id="calculator">100 - 1</gadget>
<output>99</output>
<gadget id="calculator">44.55 / 99</gadget>
<output>0.45</output>
<gadget id="calculator">0.45 * 100</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00214026 | A rectangle with a width of 3 cm, if the length and width are increased by 3 cm, the area will increase by 81 cm2; if the length and width are both reduced by 2 cm, then the area will be reduced by how many cm2. | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">81 - 9</gadget>
<output>72</output>
<gadget id="calculator">72 / 3</gadget>
<output>24</output>
<gadget id="calculator">24 - 3</gadget>
<output>21</output>
<gadget id="calculator">21 * 3</gadget>
<output>63</output>
<gadget id="calcu... | 44 | calc |
ape210k__00128887 | Li Gang works at the school where his son studies. One day, both father and son walked from home to school at the same time. Li Gang walked 20 meters more than his son every minute. After 30 minutes, Li Gang arrived at school and found that he had forgotten his key, so he immediately returned by the same way. I met my ... | <gadget id="calculator">30 * 20</gadget>
<output>600</output>
<gadget id="calculator">600 - 350</gadget>
<output>250</output>
<gadget id="calculator">350 - 250</gadget>
<output>100</output>
<gadget id="calculator">100 / 20</gadget>
<output>5</output>
<gadget id="calculator">250 / 5</gadget>
<output>50</output>
<ga... | 42 | calc |
ape210k__00217495 | A pile of goods is more than 10 pieces when half of it is transported on the first day, and the remaining half is less than 5 pieces after being transported on the second day. After 50 pieces are transported on the third day, there are still 45 pieces left. How many pieces are there in this pile of goods? | <gadget id="calculator">50 - 5</gadget>
<output>45</output>
<gadget id="calculator">45 + 45</gadget>
<output>90</output>
<gadget id="calculator">90 * 2</gadget>
<output>180</output>
<gadget id="calculator">180 + 10</gadget>
<output>190</output>
<gadget id="calculator">190 * 2</gadget>
<output>380</output>
<result>... | 380 | calc |
aqua_rat__3ZkW8GYEOUpQ9vVS | There are 79 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there? Choose the correct choice from the following choices.
A) 2 B) 4 C) 8 D) 49 E) 32 | lets assign variables to all the areas in Venn Diagram of Three. three different Units are 49OG, Cat, Snake= Total = 79 Only 49og= d=15 Only Cat = c=10 Only Snake = s Exactly 49og and Cat= 5 Exactly 49og and Snake = x Exactly Cat and Snake = y all three= 3 so 79=15+10+5+3+x+y+s we need to know total... | D | calc |
ape210k__00072782 | Observe the following formula: \begin{array}\\1**3+2**3=9\\1**3+2**3+3**3=36\end{array} Then, 1 What is the value of **3+2**3+3**3+4**3+5**3 | <gadget id="calculator">1 ** 3</gadget>
<output>1</output>
<gadget id="calculator">2 ** 3</gadget>
<output>8</output>
<gadget id="calculator">3 ** 3</gadget>
<output>27</output>
<gadget id="calculator">4 ** 3</gadget>
<output>64</output>
<gadget id="calculator">5 ** 3</gadget>
<output>125</output>
<gadget id="calc... | 225 | calc |
ape210k__00201803 | Mom and Dad are running on the playground. Mom runs a lap every 8 minutes, and Dad runs a lap every 6 minutes. They start from the starting point at the same time. Will they meet again at the starting point in at least a few minutes? | <gadget id="calculator">2 * 3 * 2 * 2</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
gsm8k__UZWr8ebASi7acfW5 | Jamie knows that once she has any more than 32 ounces of liquid she has to use the bathroom, and her teacher said that no one can use the bathroom during the math test. She remembers that she had a cup of milk at lunch and a pint of grape juice at recess. How many ounces can she drink from her water bottle during the t... | Jamie has had 24 ounces because 8 plus 16 equals
<gadget id="calculator">8+16</gadget>
<output>24</output>
24.
She can drink 8 ounces because 32 - 24 equals
<gadget id="calculator">32-24</gadget>
<output>8</output>
8.
<result>8</result> | 8 | calc |
ape210k__00074699 | 25% of a number is equal to (1/2) of 36. Find this number. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) / (1/4)</gadget>
<output>2</output>
<gadget id="calculator">36 * 2</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
aqua_rat__0iG6mioj9rY9S6ex | In what ratio should a variety of rice costing Rs. 5.5 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg? Choose the correct choice from the following options
A) 5/6 B) 5/9 C) 5/1 D) 5/8 E) 7/6 | Let us say the ratio of the quantities of cheaper and dearer varieties = x : y By the rule of allegation, x/y = (8.75 - 7.50) / (7.50 - 5.5) =5/8 Answer: 5/8
<result>D</result> | D | calc |
aqua_rat__4jim7t6Wfn1oajY4 | From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 20 percent. What percent of the stock’s 2007 starting price was the price of the stock at the end of 2009? Choose one.
A) 80 B) 90 C) 95 D) 100 E) 108 | Assume a value at the beginning of 2007. As this is a % question, assume P=100. At the end of 2007 it becmae = 1.2*100=
<gadget id="calculator">1.2*100</gadget>
<output>120</output>
120 At the end of 2008 it decreased by 25%= 120*.75=
<gadget id="calculator">120*.75</gadget>
<output>90</output>
90 At the end of... | E | calc |
aqua_rat__vmSJPELMj4dvM3tl | A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money T did Bob receive? Choices: A) 20 B) 22 C) 24 D) 26 E) 52 | Notice that we need not consider Ann's portion in the solution. We can just let K = the money REMAINING after Ann has received her portion and go from there. Our equation will use the fact that, once we remove Bob's portion, we have $32 for Chloe. So, we getK - Bob's $ = 32 Bob received 4 dollars plus one-third o... | B | calc |
aqua_rat__DC9U8l9Nj6OBE1bL | Evaluate the expression
[x : (y - 3)] ⋅ (-4) - [xy + (-3)] : -1 = ?
when x = -5 and y = -2 Options.
A) 3
B) 4
C) 5
D) 6
E) None | Solution: Evaluate the expression [x : (y - 3)] ⋅ (-4) - [xy + (-3)] : -1 = [(-5) : (-2 - 3)] ⋅ (-4) - [(-5) ⋅ (-2) + (-3)] : -1 = [(-5) : (-5)] ⋅ (-4) - [10 + (-3)] : -1 = (+1) ⋅ (-4) - (+7) : -1 = -4 - (-7) = -4 + 7=
<gadget id="calculator">-4 + 7</gadget>
<output>3</output>
3 3nswer 3
<result>A</result> | A | calc |
aqua_rat__lL8ZXfm8olDK3XIw | The probability that event A occurs is 0.4, and the probability that event B occurs is 0.45. If the probability that either event A or event B occurs is 0.6, what is the probability that event B and event B will occur?
Options:
A) 0.25
B) 0.15
C) 0.45
D) 0.5
E) 0.55 | P(0.25 or B) = P (0.25) + P(B) - p(a n b) 0.6= 0.4 + p(a n b) + 0.45 P(B) = 0.25 0.25ns : 0.25
<result>A</result> | A | calc |
ape210k__00547524 | In a right triangle, if one interior angle is 31.5°, what is the other interior angle? | <gadget id="calculator">180 - 90 - 31.5</gadget>
<output>58.5</output>
<result>58.5</result> | 58.5 | calc |
ape210k__00291237 | The students made colorful flags, the second class made the first class (4/5), the third class made the second class (1/3), and the first class made 60 pieces. How many noodles did the third class make? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">60 * (4/5) * (1/3)</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__01196023 | A cube container (thickness is negligible) with a side length of 4 decimeters is filled with water and poured into a conical container (thickness is negligible) with a bottom area of 12 decimeters square. The height of this conical container is How many decimeters. | <gadget id="calculator">3 / 12</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 * 4 * 4 * (1/4)</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00489850 | In a book, the ratio of the number of pages Xiaohong has read to the number of pages she has not read is 3:11. If she reads another 48 pages, which is exactly half of the book, how many pages does the book have? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3 + 11</gadget>
<output>14</output>
<gadget id="calculator">3 / 14</gadget>
<output>3/14 = around 0.214286</output>
<gadget id="calculator">(1/2) - (3/14)</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calc... | 168 | calc |
ape210k__00380355 | □The product of 2*45 is a three-digit number, how many numbers can be filled in the box. | <result>2</result> | 2 | calc |
ape210k__00534015 | A rides a bicycle and travels 36 kilometers per hour, B walks 4 kilometers per hour, and C walks 3 kilometers per hour. They start from A to B at the same time. In order to make the three of them reach B at the same time as soon as possible, A respectively Pick up B and C for a certain distance, so that C walked 7.2 ki... | <gadget id="calculator">7.2 / 3</gadget>
<output>2.4</output>
<gadget id="calculator">36 * 2.4</gadget>
<output>86.4</output>
<gadget id="calculator">86.4 + 7.2</gadget>
<output>93.6</output>
<gadget id="calculator">93.6 / 2</gadget>
<output>46.8</output>
<gadget id="calculator">9.9 + 46.8</gadget>
<output>56.7</ou... | 56.7 | calc |
ape210k__00257551 | Given that x=8 is the solution of the equation ax-4*7=12, then what is the solution y= of the equation ay+5=20. | <gadget id="calculator">20 - 5</gadget>
<output>15</output>
<gadget id="calculator">15 / 5</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00186542 | It is known that the sum of two numbers is 325, one of the addends is 146, and what is the other addend. | <gadget id="calculator">325 - 146</gadget>
<output>179</output>
<result>179</result> | 179 | calc |
ape210k__00482999 | During the "Campus Reading Festival", the school library bought 40 new comic books, 150 science and technology books, and 10 more story books than the sum of these two books. How many times are the number of story books as comic strips? | <gadget id="calculator">40 + 150 + 10</gadget>
<output>200</output>
<gadget id="calculator">200 / 40</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00098782 | Rules: 3! =1*2*3, 4! =1*2*3*4, 5! =1*2*3*4*5, then, 36! /35! = how much. | <result>36</result> | 36 | calc |
ape210k__00482832 | A 44 cm long iron wire surrounds a square, what is the side length of the square in cm? | <gadget id="calculator">44 / 4</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
aqua_rat__md6E6fcZQT1VligR | In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes? Select.
A) 55
B) 58
C) 64
D) 65
E) 70 | Ans.(C) Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
<result>C</result> | C | calc |
ape210k__00611300 | The road repair team built a road and repaired 30% of the total length in 3 days. At this speed, how many days will it take to finish the rest? (answer with ratio) | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) * 3</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">3 - (9/10)</gadget>
<output>21/10 = around 2.1</output>
<gadget id="calculator">(21/10) / (3/10)</gadget>
<output>7</output>
<result>7</... | 7 | calc |
aqua_rat__EJ6Ybok7ANX6Utd8 | How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choose the correct choice from the following choices
A) 482 B) 887 C) 299 D) 277 E) 200 | 20000(11/10)4 - 20000(6/5)2 = 482 482nswer: 482
<result>A</result> | A | calc |
aqua_rat__bp7IdZIQ5tQhVcjd | A train starts full of passengers. At the first station, it drops one-third of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning. Select.
A) ... | Let x be no. of passengers at beginning At, 1st station is drops 1/3rd so remaining 2/3rd are in train only plus 280 i.e., 2x/3+280 at 2nd stop 1/2 of new total and 12 more i.e., (2x/3+280)/2 + 12 = 248 on solving above equation we get x as 288 ANSWER:288
<result>D</result> | D | calc |
ape210k__00609488 | In a ratio, the two inner terms are reciprocals of each other, one of the outer terms is 4, and the other is how many. | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
math_qa__rzBmw5Q8xgHGyGTs | A man cycling along the road noticed that every 18 minutes a bus overtakes him and every 6 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses? Select:
A) 5 minutes
B) 6 minutes
C) 8 minutes
D) 9 minutes
E) 10 minutes | <gadget id="calculator">6 + 18</gadget>
<output>24</output>
<gadget id="calculator">18 - 6</gadget>
<output>12</output>
<gadget id="calculator">24 / 12</gadget>
<output>2</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="calculator">18 - 9</gadget>
<output>9</output>
<gadget id="calcu... | D | calc |
ape210k__00978457 | The school teaching building has 3 floors, with 4 classrooms on each floor. If each classroom needs 12 fluorescent tubes, how many fluorescent tubes does this teaching building need at least? | <gadget id="calculator">4 * 3 * 12</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
ape210k__00545183 | There are 218 pine cones packed in 2 baskets on average, how many are packed in each basket. | <gadget id="calculator">218 / 2</gadget>
<output>109</output>
<result>109</result> | 109 | calc |
ape210k__00139995 | ((1/2)+(1/3)+(1/4)+...+(1/30))+((2/3)+(2/4)+(2/5)+...+( 2/30))+((3/4)+(3/5)+(3/6)+…+(3/30))+…+((28/29)+(28/30))+ (29/30). | <gadget id="calculator">1 + 29</gadget>
<output>30</output>
<gadget id="calculator">29 / 2</gadget>
<output>29/2 = around 14.5</output>
<gadget id="calculator">30 * (29/2)</gadget>
<output>435</output>
<gadget id="calculator">435 / 2</gadget>
<output>435/2 = around 217.5</output>
<result>435/2 = around 217.5</resul... | 435/2 | calc |
aqua_rat__suB3gTkPevCNam5P | what is the minimum possible range in scores of the three test-takers?Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 25 and 36. Choose the correct option.
A) 36 B) 17 C) 25 D) 40 E) 35 | I simply looked at the 3 different possible scores for each individual test: 17,36,25 We have to find the minimum range: 36-17=9 36-25=
<gadget id="calculator">36-25</gadget>
<output>11</output>
11 25-17=
<gadget id="calculator">25-17</gadget>
<output>8</output>
8 The find the minimum range, you have to mak... | D | calc |
aqua_rat__nC59M9jZ7Ijc1dnD | The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the W odds that it is an ace? Choose one:
A) 1/... | The question should ask about the probability not the odds. There are 13 spades, the probability W that the spade we already have is an ace is therefore 1/13. Answer: 1/13.
<result>C</result> | C | calc |
ape210k__00295841 | Each worker and equipment of two garment factories A and B can fully produce suits of the same specification. Factory A takes (3/5) time to produce jackets and (2/5) time to produce trousers every month, producing exactly 900 suits in a whole month; factory B takes (4/7) time to produce jackets every month, (3 /7) prod... | <gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">1_200 / (4/7)</gadget>
<output>2_100</output>
<gadget id="calculator">1_200 / (4/7) / 900</gadget>
<output>7/3 = around 2.333333</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<ga... | 60 | calc |
aqua_rat__wfVyALnMZpX08yWu | Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is ? Choices.
A) 12628 B) 12228 C) 22812 D) 12727 E) 11922 | Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3. Reena's share Rs. 31570 * (2 / 5) = Rs. 12628 12628nswer: 12628
<result>A</result> | A | calc |
math_qa__9rZE7MstnvlF0AyL | A side of beef lost 50 percent of its weight in processing. If the side of beef weighed 750 pounds after processing, how many pounds did it weigh before processing? Choose the correct choice from the following choices.
A) 191 B) 355 C) 737 D) 840 E) 1,500 | <gadget id="calculator">750 * 100</gadget>
<output>75_000</output>
<gadget id="calculator">100 - 50</gadget>
<output>50</output>
<gadget id="calculator">75_000 / 50</gadget>
<output>1_500</output>
<result>E</result> | E | calc |
ape210k__00041505 | A road construction team originally planned to complete a road in 20 days. Actually, 45 meters more than the original plan was repaired every day, and the task was completed 5 days ahead of schedule. How many meters was originally planned to build the road every day? | <gadget id="calculator">20 - 5</gadget>
<output>15</output>
<gadget id="calculator">45 * 15</gadget>
<output>675</output>
<gadget id="calculator">675 / 5</gadget>
<output>135</output>
<result>135</result> | 135 | calc |
ape210k__00693411 | The opening hours of the Science and Technology Exhibition Hall are from 8:00 to 17:00 every day. According to statistics, a certain Saturday received 210 tourists in the morning and 150 tourists in the afternoon. Among them (3/4) tourists entered the exhibition hall between 10:00 and 14:00. How many visitors enter the... | <gadget id="calculator">210 + 150</gadget>
<output>360</output>
<gadget id="calculator">3 / 4</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">360 * (1/4)</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__00682295 | There are five numbers, their average is 92, the average of the first three numbers is 95, and the average of the last three numbers is 90, do you know what the middle number is? | <gadget id="calculator">95 * 3</gadget>
<output>285</output>
<gadget id="calculator">90 * 3</gadget>
<output>270</output>
<gadget id="calculator">92 * 5</gadget>
<output>460</output>
<gadget id="calculator">270 - 460</gadget>
<output>-190</output>
<gadget id="calculator">285 + (-190)</gadget>
<output>95</output>
<... | 95 | calc |
gsm8k__OJJ8ZRYGRdeOfrDv | Sandy bought 1 million Safe Moon tokens. She has 4 siblings. She wants to keep half of them to herself and divide the remaining tokens among her siblings. After splitting it up, how many more tokens will she have than any of her siblings? | She will keep 1000000 / 2 =
<gadget id="calculator">1000000/2</gadget>
<output>500_000</output>
500000 Safe Moon tokens for herself.
For the remaining siblings, they will each receive 500000 / 4 =
<gadget id="calculator">500000/4</gadget>
<output>125_000</output>
125000 tokens.
This means that Sandy will have 500000 ... | 375_000 | calc |
ape210k__00452851 | The speed ratio of passenger and freight vehicles is 3:2, and it will take (9/2) hours for the freight vehicles to travel between places A and B. If two passenger and freight vehicles depart from A and B at the same time, how many hours can they meet? | <gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">(9/2) / 3</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) * 2</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 ... | 9/5 | calc |
aqua_rat__kXYsEF6MiHevQLrQ | If a - b = 3 and a^2 + b^2 = 29, find the value of ab.
Choose the correct choice from the following:
A) 12 B) 15 C) 10 D) 18 E) 13 | 2ab = (a^2 + b^2) - (a - b)^2 = 29 - 9=
<gadget id="calculator">29 - 9</gadget>
<output>20</output>
20 ab= 10. Answer is 10.
<result>C</result> | C | calc |
aqua_rat__Oyf7gITS7pBNhVzp | Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself? Choose the correct choice from the following answers
A) 6 years
B) 9 years
C) 5 years
D) 4 years
E) 6 years | 4 years Answer: 4 years
<result>D</result> | D | calc |
aqua_rat__IjB0hdWtz9iU0sTG | The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid. Pick one: A) 9: 8 B) 9: 5 C) 9: 1 D) 9: 2 E) 9: 4 | a1 : a2 = 3 : 1 6 a12 : 6 a22 = 9: 1 Answer:9: 1
<result>C</result> | C | calc |
aqua_rat__UGaPP1xwA24INFmx | The greatest possible length which can be used to measure exactly the length 3m, 5m 30cm, 4 m is Options:
A) 10 B) 27 C) 35 D) 87 E) 98 | Explanation: Required Length = H.C.F of 300 cm, 530 cm and 400 c = 10 cm. 10nswer: 10) 10 cm
<result>A</result> | A | calc |
ape210k__00277529 | A three-digit number, after adding a 0 at the end, is 1134 more than the original number, what is the three-digit number? | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">1_134 / 9</gadget>
<output>126</output>
<result>126</result> | 126 | calc |
ape210k__00545631 | Expand the side of a cylinder to get a square. The diameter of the base of this cylinder is 5 decimeters. What is the volume of this cylinder? | <gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) ** 2</gadget>
<output>25/4 = around 6.25</output>
<gadget id="calculator">3.14 * 5</gadget>
<output>15.7</output>
<gadget id="calculator">3.14 * (25/4) * 15.7</gadget>
<output>308.1125</output>
<result>308.1125</r... | 308.1125 | calc |
aqua_rat__eB98sXllMO486eus | A trader bought a car at 10% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price? Choose the correct option.
A) 17% B) 62% C) 12% D) 19% E) 22% | Original price = 100 CP = 90 S = 90*(180/100)=
<gadget id="calculator">90*(180/100)</gadget>
<output>162</output>
162 100 - 162= 62% Answer: 62%
<result>B</result> | B | calc |
math_qa__XN1AqvtwwxkWvR8d | A rope of which a calf is tied is increased from 10 m to 20 m, how much additional grassy ground shall it graze? Choose the correct choice from the following.
A) 540 B) 128 C) 100 D) 942 E) 942.86 | <gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">400 - 100</gadget>
<output>300</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">20 + 2</gadget>
<output>22</output>
<gadget... | E | calc |
aqua_rat__SwTctTzEUmR8P8e2 | John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 9 minutes earlier. How far is the office from his house? Pick
A) 3 2/5 Km B) 3 1/5 Km C) 4 1/5 Km D) 5 1/5 Km E) None | Formula = S1*S2/S2-S1 * T1+T2/60 = 4*6/2 * 17/6 = 24/2 * 17/60 = 17/5 = 3 2/5 Km 3 2/5 Km
<result>A</result> | A | calc |
ape210k__01217259 | A rectangular test field has a circumference of 40 meters and a width of 8 meters. What is its area? | <gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">20 - 8</gadget>
<output>12</output>
<gadget id="calculator">12 * 8</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__00359080 | Xiao Miao read a 320-page story book, and read a total of 160 pages in the first 4 days. According to this calculation, how many days are left to finish reading. | <gadget id="calculator">320 - 160</gadget>
<output>160</output>
<gadget id="calculator">160 / 4</gadget>
<output>40</output>
<gadget id="calculator">160 / 40</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00931095 | The clock strikes 4 times at 4 o'clock and takes 12 seconds to finish. Then knock 6 times at 6 o'clock, how many seconds to finish knocking. | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">12 / 3</gadget>
<output>4</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00090133 | A two-digit number, the number on the tenths place is 2 greater than the number on the percentile, and a new two-digit decimal is obtained by exchanging the number on the tenths place with the number on the percentile, and the original two-digit decimal is the same as The new number after adding the two decimal places ... | <result>3.42</result> | 3.42 | calc |
aqua_rat__aOIVwJXRNbWDjV2l | A car covers a distance of 780 km in 6 ½ hours. Find its speed? Choose the most appropriate option: A) 104 kmph B) 187 kmph C) 164 kmph D) 130 kmph E) 106 kmph | 780/6=
<gadget id="calculator">780/6</gadget>
<output>130</output>
130 kmph Answer: 130 kmph
<result>D</result> | D | calc |
ape210k__00032498 | Two cars are traveling towards each other at the same time at places A and B, and meet each other after 7 hours. If the speed increases by 8 kilometers per hour, they will meet after 6 hours. Find the distance between A and B. | <gadget id="calculator">8 + 8</gadget>
<output>16</output>
<gadget id="calculator">7 - 6</gadget>
<output>1</output>
<gadget id="calculator">6 / 1</gadget>
<output>6</output>
<gadget id="calculator">16 * 6</gadget>
<output>96</output>
<gadget id="calculator">96 * 7</gadget>
<output>672</output>
<result>672</result... | 672 | calc |
math_qa__DwiOTPLldOpfKa6X | Of 70 players on a football team, 34 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? Options
A) 54 B) 58 C) 63 D) 71 E) 92 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">70 - 34</gadget>
<output>36</output>
<gadget id="calculator">(2/3) * 36</gadget>
<output>24</output>
<gadget id="calculator">24 + 34... | B | calc |
ape210k__01012943 | On a map with a scale of 1:6000, the distance between A and B is 6 cm. If drawn on a map with a scale of 1:8000, what is the distance in centimeters between A and B? | <gadget id="calculator">1 / 6_000</gadget>
<output>1/6_000 = around 0.000167</output>
<gadget id="calculator">6 / (1/6_000)</gadget>
<output>36_000</output>
<gadget id="calculator">1 / 8_000</gadget>
<output>1/8_000 = around 0.000125</output>
<gadget id="calculator">36_000 * (1/8_000)</gadget>
<output>9/2 = around 4... | 9/2 | calc |
aqua_rat__ScNEVByq3nT6CJOx | A chemist mixes one liter of pure water with x liters of a 30% salt solution, and the resulting mixture is a 15% salt solution. What is the value of x?
Choose the correct choice from the following answers:
A) 1/4 B) 1/3 C) 1/2 D) 1 E) 3 | Concentration of salt in pure solution = 0 Concentration of salt in salt solution = 30% Concentration of salt in the mixed solution = 15% The pure solution and the salt solution is mixed in the ratio of --> (30 - 15)/(15 - 0) = 1/1 1/x -- (30 - 15)/(15 - 0)=
<gadget id="calculator">-- (30 - 15)/(15 - 0)</... | D | calc |
ape210k__01214433 | Xinxing School bought a batch of 800 new books, which were distributed to 27% of the sixth grade and 22% of the fifth grade. How many books are left? | <gadget id="calculator">27 / 100</gadget>
<output>27/100 = around 0.27</output>
<gadget id="calculator">22 / 100</gadget>
<output>11/50 = around 0.22</output>
<gadget id="calculator">1 - (27/100) - (11/50)</gadget>
<output>51/100 = around 0.51</output>
<gadget id="calculator">800 * (51/100)</gadget>
<output>408</out... | 408 | calc |
ape210k__00013127 | Students from three classes in grade six donated books to primary schools in mountainous areas. Class 2 donated as many books as Class 1 (5/6), and Class 3 donated less than Class 2 (1/5). Class 1 and Class 3 donated 180 books in total. So how many books were donated by these three classes? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(5/6) * (4/5)</gadget>
<output>2/3 = around 0.666667</output>
<g... | 270 | calc |
ape210k__01015565 | The price of each ticket in the theater is 8 yuan. The theater can seat 870 people. The tickets for this theater are all sold out. How much is the box office revenue of this theater? | <gadget id="calculator">8 * 870</gadget>
<output>6_960</output>
<result>6_960</result> | 6_960 | calc |
ape210k__01195279 | The waist length of an isosceles trapezoid is 1.5 cm, the upper base is 1.5 times the waist length, and the lower base is twice the waist length. Find the perimeter of this isosceles trapezoid? | <gadget id="calculator">1.5 * 1.5</gadget>
<output>2.25</output>
<gadget id="calculator">1.5 * 2</gadget>
<output>3</output>
<gadget id="calculator">2.25 + 3 + 1.5 + 1.5</gadget>
<output>8.25</output>
<result>8.25</result> | 8.25 | calc |
aqua_rat__gy21nWy0jGTGjaE9 | n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2*n is divided by 4 ?
Choose the correct answer: A) 8 B) 2 C) 6 D) 7 E) 1 | Explanation: Let n=4*q + 3. Then, 2*n = 8*q + 6 = 4(2*q + 1) + 2. Thus when 2*n is divided by 4, the reminder is 2. Answer: 2) 2
<result>B</result> | B | calc |
ape210k__00206433 | If the circumference of a circle is 18.84 meters, what is its area in square meters? | <gadget id="calculator">18.84 / 2 / 3.14</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</output>
<result>28.26</result> | 28.26 | calc |
aqua_rat__JHgJrLjHltO8jIyM | A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be: Choices
A) 10 m B) 12.5 m C) 17.5 m D) 21.25 m E) None | let height of the building be x meters 40.25 : 28.75 :: 17.5 <=> 40.25 x X = 28.75 x17.5 x= 28.75 x 17.5 / 40.25 x = 12.5 Answer: Option 12.5 m
<result>B</result> | B | calc |
math_qa__DmyaLDXZ5FytTtyI | square of 99=? Pick one: A) 9001 B) 9621 C) 9431 D) 9801 E) 9601 | <gadget id="calculator">99 * 99</gadget>
<output>9_801</output>
<result>D</result> | D | calc |
aqua_rat__pxSkF5u8RKKYC8nv | A boat having a length 8 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:
Select the correct option.
A) 12 kg B) 60 kg C) 72 kg D) 160 kg E) None of these | Explanation: Volume of water displaced = (8 x 2 x 0.01) m3 = 0.16 m3. ∴ Mass of man = Volume of Water displaced x Density of water = (0.16 x 1000)kg = 160 kg. Answer: 160 kg
<result>D</result> | D | calc |
ape210k__00151984 | A miniature part is 5cm long on the design drawing. If the scale of this drawing is 100:1, what is the actual length of the part in millimeters? | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 10</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
aqua_rat__jrFVy3HybOa59Xsp | Rs.8000 become Rs.11819 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Answers:
A) 6 YEARS B) 7 C) 5 D) 3 E) 8 | 8xplanation: 9261 = 11819(21/20)N (21/20)8 = (21/20)N => N = 8 Answer: Option 8
<result>E</result> | E | calc |
ape210k__00843331 | Huafeng Farm's wheat sown area this year is 259.2 hectares, an increase of 8% over last year. How many hectares was the area sown with wheat last year? | <gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">1 + (2/25)</gadget>
<output>27/25 = around 1.08</output>
<gadget id="calculator">259.2 / (27/25)</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
ape210k__00412156 | The distance between Xiao Ming's house and Xiao Gang's house is 1240 meters. Xiao Ming walks 75 meters per minute, and Xiao Gang walks 80 meters per minute. The two start from home at the same time. How many minutes did they meet? (solution with equation) | <gadget id="calculator">75 + 80</gadget>
<output>155</output>
<gadget id="calculator">1_240 / 155</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00094517 | A slow train is 120 meters long and its speed is 15 meters per second; an express train is 160 meters long and its speed is 20 meters per second. The two cars are running towards each other on the double-track track. How many seconds does it take from the front of the train to the rear of the train? bell. | <gadget id="calculator">120 + 160</gadget>
<output>280</output>
<gadget id="calculator">15 + 20</gadget>
<output>35</output>
<gadget id="calculator">280 / 35</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00312046 | □/7=152…6, what is the dividend represented by □ | <gadget id="calculator">152 * 7</gadget>
<output>1_064</output>
<gadget id="calculator">1_064 + 6</gadget>
<output>1_070</output>
<result>1_070</result> | 1_070 | calc |
ape210k__00271971 | In a triangle, ∠1=75°, ∠2=35°, ∠3=how much. | <gadget id="calculator">180 - 75 - 35</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
ape210k__01101579 | Two workers process transistors. Worker A processes 24 per hour, and worker B processes 26 per hour. They work 8 hours a day. How many transistors can they process in a day? | <gadget id="calculator">24 * 8</gadget>
<output>192</output>
<gadget id="calculator">26 * 8</gadget>
<output>208</output>
<gadget id="calculator">192 + 208</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
gsm8k__5tu3cEuUOEEnSSD3 | Rachel is writing an essay. She writes 1 page every 30 minutes. She spends 45 minutes researching the topic. She writes a total of 6 pages. Then she spends 75 minutes editing her essay. Altogether, how many hours did she spend completing the essay? | She spends this long researching and editing her essay 45 min + 75 min =
<gadget id="calculator">45+75</gadget>
<output>120</output>
120 min.
Converting the minutes to hours for researching and editing is 120 / 60 =
<gadget id="calculator">120/60</gadget>
<output>2</output>
2 hours.
She spends this long writing the e... | 5 | calc |
ape210k__01146659 | Each pen is 8.5 yuan, and each ballpoint pen is 3.5 yuan. How much did Xiao Ming spend on four fountain pens and one ballpoint pen? | <gadget id="calculator">8.5 * 4</gadget>
<output>34</output>
<gadget id="calculator">34 + 3.5</gadget>
<output>37.5</output>
<result>37.5</result> | 37.5 | calc |
ape210k__00719249 | A's number is 4.8, which is 1.9 more than B's number. What is the sum of A's and B's numbers? | <gadget id="calculator">4.8 - 1.9</gadget>
<output>2.9</output>
<gadget id="calculator">2.9 + 4.8</gadget>
<output>7.7</output>
<result>7.7</result> | 7.7 | calc |
ape210k__00058394 | Find the sum of 1+2+3+...+1998+1999. | <gadget id="calculator">1 + 1_999</gadget>
<output>2_000</output>
<gadget id="calculator">1_999 / 2</gadget>
<output>1_999/2 = around 999.5</output>
<gadget id="calculator">2_000 * (1_999/2)</gadget>
<output>1_999_000</output>
<result>1_999_000</result> | 1_999_000 | calc |
ape210k__00454449 | Kindergarten buys 50 packs of towels, 5 packs per pack, each priced at 6 yuan, how much does it cost in total? | <gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">50 * 30</gadget>
<output>1_500</output>
<result>1_500</result> | 1_500 | calc |
ape210k__01084311 | The sum of the lengths of the sides of a cube is 1.8m, what is its surface area in cm**2. | <gadget id="calculator">100 / 12</gadget>
<output>25/3 = around 8.333333</output>
<gadget id="calculator">1.8 * (25/3) * 1.8 * (25/3) * 6</gadget>
<output>1_350</output>
<result>1_350</result> | 1_350 | calc |
aqua_rat__BBjUAI3q7o5xXVzs | Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 1800 Select:
A) 30
B) 70
C) 210
D) 300
E) 180 | 27 = 3*3*3, and its GCF with x is 3, which implies that x has ONE factor of 3, but not TWO factors of 3. 100 and x have a GCF of 10, which implies that x has ONE factor of 10, but not TWO factors of 10. Then we want to know what is the largest possible GCF of x and 2100. Well 1800 = 3 * 6 * 10 * 10 We want x to... | E | calc |
ape210k__00184870 | One number is 390, the other number is 150 more than it, what is the other number | <gadget id="calculator">390 + 150</gadget>
<output>540</output>
<result>540</result> | 540 | calc |
ape210k__01222213 | A car departs from A to B to deliver goods. When going there, it travels 40km per hour. When returning, it travels 20km more per hour because the car is empty. It takes 7.5 hours for a round trip. Find the distance between A and B. | <gadget id="calculator">40 * 7.5</gadget>
<output>300</output>
<gadget id="calculator">20 * 7.5</gadget>
<output>150</output>
<gadget id="calculator">300 + 150</gadget>
<output>450</output>
<gadget id="calculator">40 + 40 + 20</gadget>
<output>100</output>
<gadget id="calculator">450 / 100</gadget>
<output>9/2 = ar... | 180 | calc |
ape210k__00559655 | An oil press presses 9 tons of oil in 3 hours, how many tons of oil is squeezed per hour on average? The column is correct. How many | <gadget id="calculator">9 / 3</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00538863 | A conical iron block with a base radius of 10 cm and a height of 6 cm is forged into a cylinder with a base radius of 5 cm. What is the height of this cylinder? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">10 * 10 * 3.14 * 6 * (1/3)</gadget>
<output>628</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3.14 * 25</gadget>
<output>78.5</output>
<gadget id="calculator">628 / 78... | 8 | calc |
ape210k__00062652 | It is known that the sum of the lengths of the sides of a cuboid is 160 cm, and the ratio of length, width and height is 2:1:1. Please calculate the volume of this cuboid? | <gadget id="calculator">2 + 1 + 1</gadget>
<output>4</output>
<gadget id="calculator">160 / 4</gadget>
<output>40</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">40 * (1/2)</gadget>
<output>20</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = aro... | 2_000 | calc |
aqua_rat__rRrWw2F2GIjkdESb | A certain basketball team that has played 2/3 of its games has a record of 13 wins and 7 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games?
Choices: A) 0 B) 1 C) 2 D) 4 E) 3 | 13 wins, 7 losses - total 20 games played. The team has played 2/3rd of all games so total number of games = 30 3/4th of 30 is 22.5 so the team must win 23 games and can afford to lose at most 7 total games. It has already lost 7 games so it can lose another 0 at most. 0nswer (0)
<result>A</result> | A | calc |
math_qa__B0UeTkTnyMyO2w2t | What will be the difference between simple and compound interest at 12% per annum on a sum of Rs. 1000 after 4 years? Options
A) 94.19 B) 94.12 C) 93.5 D) 64.1 E) 64.11 | <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) ** 4</gadget>
<output>614_656/390_625 = around 1.573519</output>
<gadget id="calculator">1_000 * (614_656/390_625)</gadget>
<o... | C | calc |
ape210k__00405709 | The price of a commodity has been reduced twice in a row, and the average price of each reduction is 3.52 yuan. What is the original price of this commodity? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">3.52 / (4/5)</gadget>
<output>4.4</output>
<gadget id="calculator">4.4 / (4/5)</gadget>
<output>5.5</output>
<result>5.5</result> | 5.5 | calc |
math_qa__tkPSv7hcZ1419fKb | If w and y are both odd prime numbers and w < y, how many distinct positive integer factors does 2wy have? Choose the correct choice from the following answers: A) 3 B) 4 C) 6 D) 8 E) 12 | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<result>D</result> | D | calc |
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