id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00088071 | A cylindrical grain hoard filled with rice has a bottom area of 2 square meters and a height of 80 cm. Each cubic meter of rice weighs about 600 kilograms. How many kilograms does the rice stored in this grain hoard weigh? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">2 * (4/5) * 600</gadget>
<output>960</output>
<result>960</result> | 960 | calc |
ape210k__00869719 | The sum of a number and 5870 is 12504, what is this number? | <gadget id="calculator">12_504 - 5_870</gadget>
<output>6_634</output>
<result>6_634</result> | 6_634 | calc |
ape210k__00970403 | There are 4 hectares of orchards in Zhang Village. The area planted with apple trees accounts for (2/5) of the orchard, and the area planted with pear trees (6/5). How many hectares are planted with pear trees? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(2/5) / (6/5)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">4 * (1/3)</gadget>
<output>4/3 = around 1.333333</output>
<r... | 4/3 | calc |
ape210k__00205636 | The area of a circle is 15 square meters. If the radius of the circle is doubled, what is the area in square meters? | <gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">15 * 4</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00431465 | There are 30 boys and 21 girls in our class. What percentage of the whole class are boys? | <gadget id="calculator">30 + 21</gadget>
<output>51</output>
<gadget id="calculator">30 / 51</gadget>
<output>10/17 = around 0.588235</output>
<result>10/17 = around 0.588235</result> | 10/17 | calc |
ape210k__00544684 | What is the difference between 900 minus 10 times the product of 18 and 5? | <gadget id="calculator">18 * 5 * 10</gadget>
<output>900</output>
<gadget id="calculator">900 - 900</gadget>
<output>0</output>
<result>0</result> | 0 | calc |
ape210k__00073196 | A car is driving from place A to place B. If the speed is increased by (1/9), then it will arrive 1 hour earlier than the original time. If it travels 162 kilometers at the original speed, then increase the speed by (1/6) , Also arrived 1 driving ahead of the scheduled time. How many kilometers are there between A and ... | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">1 + (1/9)</gadget>
<output>10/9 = around 1.111111</output>
<gadget id="calculator">(10/9) / 1</gadget>
<output>10/9 = around 1.111111</ou... | 540 | calc |
ape210k__00834625 | The teachers and students of Hongxing Primary School donated money to the children in the disaster area. The students donated 420 yuan, which was 90 yuan more than the amount donated by the teachers. How much did the teachers and students donate in total? | <gadget id="calculator">420 - 90</gadget>
<output>330</output>
<gadget id="calculator">330 + 420</gadget>
<output>750</output>
<result>750</result> | 750 | calc |
aqua_rat__pfGa7glWjbGEvcQE | Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 7 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Select the correct op... | For A, r=8/2pi. Its capacity = (4pi)^2 * 7= 112pi For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi 56%/B = 112pi/200pi = 0.56 56%112 /200=
<gadget id="calculator">112 /200</gadget>
<output>14/25 = around 0.56</output>
0.56 56%
<result>A</result> | A | calc |
ape210k__00471014 | Students from Xinya Primary School participated in the spring outing. The school bus went up the mountain at a speed of 36 kilometers per hour. It took 5 hours to go up the mountain, but it only took 4 hours to go down the mountain. How many kilometers does the school bus travel per hour when it goes downhill? | <gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">36 * (5/4)</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00060543 | 250*199． | <gadget id="calculator">250 * 199</gadget>
<output>49_750</output>
<result>49_750</result> | 49_750 | calc |
ape210k__00625765 | 12*30=360, if one factor is multiplied by 2, and the other factor remains unchanged, the product becomes what it is. | <gadget id="calculator">12 * 30 * 2</gadget>
<output>720</output>
<result>720</result> | 720 | calc |
ape210k__00483485 | How much more is 8 meters than 5 meters? | <gadget id="calculator">8 - 5</gadget>
<output>3</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
ape210k__00836133 | Class 31 planted 39 trees, class 32 planted 45 trees, how many trees were planted by the two classes? | <gadget id="calculator">39 + 45</gadget>
<output>84</output>
<result>84</result> | 84 | calc |
ape210k__00996095 | Two cuboids with a length of 30 cm, a width of 10 cm, and a height of 8 cm are used to form a large cuboid. What is the largest surface area of the cuboids in square centimeters? | <gadget id="calculator">30 * 10</gadget>
<output>300</output>
<gadget id="calculator">30 * 8</gadget>
<output>240</output>
<gadget id="calculator">10 * 8</gadget>
<output>80</output>
<gadget id="calculator">300 + 240 + 80</gadget>
<output>620</output>
<gadget id="calculator">620 * 2 * 2</gadget>
<output>2_480</outp... | 2_320 | calc |
ape210k__00161255 | Xiaoli pours out the coins in the piggy bank, there are 86 coins of 0.1 yuan, and 64 coins of 0.5 yuan, then, how many yuan does Xiaoli have in total | <gadget id="calculator">0.1 * 86</gadget>
<output>8.6</output>
<gadget id="calculator">0.5 * 64</gadget>
<output>32</output>
<gadget id="calculator">8.6 + 32</gadget>
<output>40.6</output>
<result>40.6</result> | 40.6 | calc |
ape210k__00752315 | The passenger car and the truck depart from the two places at the same time, and meet at a distance of 20 kilometers from the midpoint of the two places after 5 hours. After meeting, the bus travels for another 3 hours to arrive at B. How many kilometers are there between A and B? | <gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">20 * 8</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
ape210k__00641341 | The school library originally had a total of 630 music books and art books, of which music books accounted for 20%. Later, a batch of music books were bought, and now music books accounted for 30%. How many music books were bought later? | <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">630 * (4/5)</gadget>
<output>504</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculat... | 90 | calc |
aqua_rat__ixEPvVtzDQKpWvV6 | Find the value of (45 + 23/89) × 89 Select the correct option:
A) 4028 B) 4026 C) 4248 D) 4538 E) 9028 | =(45 + 23/89) × 89 =(4005 + 23)/89 × 89 =4028/89 × 89 =4028 4028nswer is 4028.
<result>A</result> | A | calc |
ape210k__01124981 | There are 36 rows of seats in Daqing Art Palace, and each row has 25 seats. A movie was shown on October 1st, and each movie ticket was 15 yuan. Movie tickets were sold out according to the number of seats. Tickets for this movie Art Palace How much is the total income? | <gadget id="calculator">25 * 36 * 15</gadget>
<output>13_500</output>
<result>13_500</result> | 13_500 | calc |
ape210k__00094752 | When Xiao Ming climbs the mountain, he travels an average of 8 kilometers per hour when going up the mountain, and 12 kilometers per hour when going down the mountain from the original road. How many kilometers per hour does Xiao Ming travel on average? | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/8) + (1/12)</gadget>
<output>5/24 = around 0.208333</output>
<gadget id="cal... | 48/5 | calc |
aqua_rat__T8cGgBzTBhfmcqo0 | A rectangle has 20 meter length and 15 meter breadth. Find ratio between area of rectangle and square whose side is same with rectangle's length.
Select.
A) 3 : 2 B) 3 : 4 C) 4 : 5 D) 2 : 3 E) 2 : 5 | Area of rectangle = 20*15=
<gadget id="calculator">20*15</gadget>
<output>300</output>
300 Area of square= 20^2 = 400 Ratio of rectangle' area and square's area = 300 : 400 = 3 : 4 Answer: 3 : 4
<result>B</result> | B | calc |
math_qa__Vaw38jveQbe7xuyS | Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 4 inches tall. How tall are the sculpture andbase together? Pick one.
A) 3.17 feet
B) 3.2 feet
C) 3.3 feet
D) 3.4 feet
E) 3.5 feet | <gadget id="calculator">2 + 10</gadget>
<output>12</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<gadget id="calculator">24 + 10</gadget>
<output>34</output>
<gadget id="calculator">34 + 4</gadget>
<output>38</output>
<gadget id="calculator">38 / 12</gadget>
<output>19/6 = around 3.166667</ou... | A | calc |
ape210k__00522093 | A cylindrical container filled with water has a bottom radius of 4 cm, a depth of 20 cm, and a water depth of 16 cm. Put a cylindrical iron rod with a bottom radius of 2 cm and a height of 16 cm vertically into the container. Find the time What is the depth of water in the container? | <gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<gadget id="calculator">16 / 50.24</gadget>
<output>0.318471</output>
<gadget id="calculator">3.14 * 4 * 0.318471</gadget>
<output>... | 19.999996 | calc |
aqua_rat__raEFB8Vzj8eCcrMD | Solution Y is 30 percent liquid O and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid O? Select:
A) 30% B) 33 1/3% C) 37 1/2% D) 40% E) 50% | Answer:C Took time to solve this one, the statement2 kilograms of solution Y are added to the remaining 6 kilograms of liquidwas confusing to me. After thinking more deeply, it was clear to me that new 2 kg of solution Y will also be 30% liquid O and 70% water, and then I was able to get the answer. That was a bit tr... | C | calc |
aqua_rat__qcm6siZsKFteqhN2 | we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed? Choose the correct choice from the following answers
A) 8 B) 9 C) 10 D) 11 E) 12 | Total no. of cubes=n^3 here n^3 =125 which makes n=5, also minimum no. of cuts required =3(n-1) hence, 3(5-1)=12 cuts. ANSW12R:12
<result>E</result> | E | calc |
ape210k__00760111 | 6 students play table tennis. It takes about 5 minutes to play a game. They can play singles or doubles. How many minutes does it take for each player to play a game? How about two rounds each? | <gadget id="calculator">5 * 3</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00457002 | What is the number that is 1 more than 69999? | <gadget id="calculator">69_999 + 1</gadget>
<output>70_000</output>
<result>70_000</result> | 70_000 | calc |
gsm8k__AJk7Vlhrd3A1yZi3 | Vivian plays 10 Spotify songs every day. Her best friend Clara plays 2 fewer songs each day. If in June they didn't play any song during the weekends only, and there were 8 weekend days in June, what's the total number of songs they both listened to in that month? | June has 30 days, so if they didn't play any songs on weekends, then they played 30 days - 8 days =
<gadget id="calculator">30-8</gadget>
<output>22</output>
22 days.
If Vivian played 10 songs each day, the total number of songs she played for the month is 10 songs/day * 22 days =
<gadget id="calculator">10*22</gadge... | 396 | calc |
ape210k__00510801 | A certain agency originally had 200 staff members, but after streamlining the organization, there are 143 staff members. What percentage is the reduction now? | <gadget id="calculator">200 - 143</gadget>
<output>57</output>
<gadget id="calculator">57 / 200</gadget>
<output>57/200 = around 0.285</output>
<result>57/200 = around 0.285</result> | 57/200 | calc |
ape210k__00069194 | Riding a bicycle from place A to place B, Zhang Daming travels (1/3) the whole journey every hour, and Li Xiaowei travels the whole journey (1/5) every hour. Which of the two is faster? How much faster? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/3) - (1/5)</gadget>
<output>2/15 = around 0.133333</output>
<result>2/15 = around 0.133333</result> | 2/15 | calc |
ape210k__01153095 | A story book has 276 pages. Linlin has read 198 pages, how many pages are there left? | <gadget id="calculator">276 - 198</gadget>
<output>78</output>
<result>78</result> | 78 | calc |
ape210k__00575859 | The length of an overcoat of an extended matchbox is 6.5 centimeters, the width is 4.2 centimeters, and the height is 1.5 centimeters. What is the area of cardboard required to make the inner box and the overcoat of such a matchbox? (Consider the length, width, and height of the inner box and the jacket as the same num... | <gadget id="calculator">6.5 * 4.2</gadget>
<output>27.3</output>
<gadget id="calculator">1.5 * 6.5</gadget>
<output>9.75</output>
<gadget id="calculator">27.3 + 9.75</gadget>
<output>37.05</output>
<gadget id="calculator">37.05 * 2</gadget>
<output>74.1</output>
<gadget id="calculator">1.5 * 4.2</gadget>
<output>6.... | 133.5 | calc |
aqua_rat__maaiRACPLItI198p | On a track for remote controlled racing cars, racing car A completes the track in 58 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again. Choose the correct choice:
A) 275 B) 325 C) 2030 D) 425 E) None of these | Time required in seconds will be L2030M ( 35, 58 ) = 2030 Hence, answer will be (2030) 2030
<result>C</result> | C | calc |
aqua_rat__BqcTK185mMwfMdbU | Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 36 seconds, the speed of each train (in km/hr) is
Answers
A) 12 B) 36 C) 28 D) 20 E) 24 | Explanation: Distance covered = 120+120=
<gadget id="calculator">120+120</gadget>
<output>240</output>
240 m Time= 36 s Let the speed of each train = v. Then relative speed = v+v = 2v 2v = distance/time = 240/36 = 6.667 m/s Speed of each train = v = 6.667/2 = 3.33 m/s = 3.33×36/10 km/hr = 12 km/hr 12nswe... | A | calc |
ape210k__01008355 | The teaching building of Guangming Primary School has 3 floors, each floor has 12 classrooms, and each classroom is equipped with 12 fluorescent lamps. How many fluorescent lamps are installed in these classrooms? (column comprehensive formula) | <gadget id="calculator">12 * 3 * 12</gadget>
<output>432</output>
<result>432</result> | 432 | calc |
ape210k__00153704 | On a road parallel to the railway, a pedestrian walking 3.6 kilometers per hour and a cyclist traveling 10.8 kilometers per hour are moving in the same direction. There is a train on the railway coming from behind the two. It takes 26 seconds for the car to find the length of the train? | <gadget id="calculator">3 * 26</gadget>
<output>78</output>
<gadget id="calculator">78 - 22</gadget>
<output>56</output>
<gadget id="calculator">26 - 22</gadget>
<output>4</output>
<gadget id="calculator">56 / 4</gadget>
<output>14</output>
<gadget id="calculator">14 - 1</gadget>
<output>13</output>
<gadget id="ca... | 286 | calc |
aqua_rat__VbbdK1rvTBw2as6l | If C.P. of 28 books is equal to S.P of 30 books , then your gain or loss is ?
Choose the correct choice from the following choices:
A) 23 1/3 gain % B) 30 10/23 loss % C) 6.67 loss % D) 30 1/3 loss % E) 40 1/3 loss % | Say the cost price of 28 books is $28 so $1 for a book. The cost of 30 books would be $30, and the selling price of 30 books would be 28$, hence the loss = ($30 - $28)/$30 = ~6.67%. Answer: 6.67 loss %.
<result>C</result> | C | calc |
ape210k__00717877 | What is the result of 1-(1/3)-(1/6)-(1/12)-(1/24) | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>
... | 3/8 | calc |
gsm8k__IcV7kpO8b06a6DzD | Peter and Kristin are to read 20 fantasy novels each in a week. Peter can read three times as fast as Kristin. If Peter reads one book in 18 hours, how long will Kristin read half of her books? | Since Peter reads three times as fast as Kristin, Kristin will take 18*3 =
<gadget id="calculator">18*3</gadget>
<output>54</output>
54 hours to read one book.
Kristin reads half of her books, a total of 20/2 =
<gadget id="calculator">20/2</gadget>
<output>10</output>
10 books.
The time Kristin will take to read half... | 540 | calc |
aqua_rat__Bv4M7rmXACWP1gmR | A person buys an article at Rs.340. At what price should he sell the article so as to make a profit of 10%? Select the correct option.
A) 600 B) 882 C) 374 D) 356 E) 521 | 374ost price = Rs.340 profit = 10% of 340 = Rs.34 Selling price = 374ost price + Profit = 340 + 34=
<gadget id="calculator">340 + 34</gadget>
<output>374</output>
374 Answer: 374
<result>C</result> | C | calc |
ape210k__00303544 | A piece of clothing is 45 yuan cheaper after a 10% discount. What is the original price of this piece of clothing? | <gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">1 - (9/10)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">45 / (1/10)</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
ape210k__00520813 | For a basket of apples, half of it is sold for the first time, and the first (4/5) is sold for the second time. What percentage of the remaining apples in the basket have not been sold? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(1/2) * (4/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (1/2) - (2/5)</gadget>
<output>1/10 = around 0.1</output>
<re... | 1/10 | calc |
ape210k__00614499 | It is known that the product of two inner terms in a ratio is the smallest prime number, one outer term is 0.75, and what is the other outer term. | <gadget id="calculator">2 / 0.75</gadget>
<output>2.666667</output>
<result>2.666667</result> | 2.666667 | calc |
aqua_rat__1ggFjFPMnGLB9RnZ | In a bag, there are seven 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals ... | As 'complex-looking' as this question might appear, it's actually rather simple. Pay careful attention to what the specific questions asks for - the number of DIFFERENT possible SUMS from 4 dice. Since we're dealing with some 'special' dice (some 12-sided and 20-sided dice), we have to adjust out math accordingly, but ... | D | calc |
aqua_rat__egcGtnd6DCA9ZRvU | Let's find out how sharp your mind is. Let's see if you can find the missing numbers in the series:
192, 021, 222, 324, 252, 627, 2__, 9__? Select:
A) 281 and 930. B) 282 and 930. C) 283 and 930. D) None E) Cannot be determined | Solution: If you look closely, you will find a sequence in every alternating number. 192, 222 and 252 form one series where 30 is added each time. 021, 324 and 627 form one series where 303 is added each time. Thus the next two numbers will be 282 and 930. Answer 282 and 930.
<result>B</result> | B | calc |
aqua_rat__sEVPsjBCoKR9nNGD | A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 35% impurities to the product. Find the net profit percentage of the dealer? Select the correct option.
A) 44% B) 40% C) 68.75% D) 56.25% E) 36... | The dealer uses weight which is 20% less than the real weight. or (1- 1/5) or 4/5 of real weight. It means that he is selling $4 worth of product for $5. The dealer then further added 35% impurities to the product. It means that he is selling $5 worth of product for $6.75. So his profit is $6.75-$4 = $2 and h... | C | calc |
ape210k__00218014 | Add 26 to a number, subtract 37 from their sum, then multiply the difference by 17, and finally divide their product by 48, the result is 50 plus 14. Find out how much a certain number is. | <gadget id="calculator">50 * 48</gadget>
<output>2_400</output>
<gadget id="calculator">2_400 + 14</gadget>
<output>2_414</output>
<gadget id="calculator">2_414 / 17</gadget>
<output>142</output>
<gadget id="calculator">37 - 26</gadget>
<output>11</output>
<gadget id="calculator">142 + 11</gadget>
<output>153</outp... | 153 | calc |
math_qa__7ZJGSUFNnn241szy | In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 32 people were made to stand in a column, how many columns could be formed? Choose the correct choice from the following answers
A) 15 B) 20 C) 25 D) 30 E) 35 | <gadget id="calculator">32 / 16</gadget>
<output>2</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<result>A</result> | A | calc |
ape210k__00647565 | There are 65 female members in the Sunset Red Club, and there are more male members than female members (1/5). How many male and female members are there in total? | <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">65 * (6/5)</gadget>
<output>78</output>
<gadget id="calculator">78 + 65</gadget>
<output>143</output>
<result>143</result> | 143 | calc |
ape210k__00221141 | There are 104 students in classes A and B, 106 students in classes B and C, and 101 students in classes C and D. How many people are there in Class A and Class D? | <gadget id="calculator">101 - 106</gadget>
<output>-5</output>
<gadget id="calculator">104 + (-5)</gadget>
<output>99</output>
<result>99</result> | 99 | calc |
ape210k__00228698 | During the Spring Festival this year, the Cultural Center held an art exhibition. From February 15th to the end of February, how many days did the art exhibition last? | <gadget id="calculator">28 - 15</gadget>
<output>13</output>
<gadget id="calculator">13 + 1</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00380847 | After transferring (1/5) the coal from pile A to pile B, the two piles have the same amount of coal, how much less pile B is than pile A | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 2</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
ape210k__00538116 | One base of a right-angled trapezoid is 5 cm. If the other base is reduced by 2 cm, the trapezoid becomes a square. What is the area of this trapezoid in square centimetres. | <gadget id="calculator">5 + 2 + 5</gadget>
<output>12</output>
<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">12 * (5/2)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00563210 | Uncle Li deposits 20,000 yuan in the bank for five years. The annual interest rate is 4.75%. How much yuan can Uncle Li get back when it expires? | <gadget id="calculator">2 * 10_000</gadget>
<output>20_000</output>
<gadget id="calculator">4.75 / 100</gadget>
<output>0.0475</output>
<gadget id="calculator">20_000 * 0.0475 * 5</gadget>
<output>4_750</output>
<gadget id="calculator">20_000 + 4_750</gadget>
<output>24_750</output>
<result>24_750</result> | 24_750 | calc |
aqua_rat__RVBhdEOujOl4p9UG | A toothed wheel of diameter 50 cm is attached to a smaller wheel of diameter 30 cm. How many revolutions will the smaller wheel make when the larger one makes 15 revolutions?
Choose the correct choice from the following options:
A) 18 B) 20 C) 22 D) 25 E) 27 | Solution Distance covered by smaller wheel in 1 revolution = (2Π x 15) cm = (30 Π) cm. Distance covered by larger wheel in 1 revolution = (2Π x 25) cm = (50 Π) cm. Let k x 30 Π = 15 x 50 Π. Then, k = [15 x 50 Π / 30 Π] = 25. ∴ Required number of revolutions = 25. Answer 25
<result>D</result> | D | calc |
aqua_rat__zZow13KpIh6YCG4J | In how many different ways can the letters of the word "CORPORATION" be arranged in such a way that no two vowels are together?
Options:
A) 6!/2!∗C57∗5!3! B) 4!/2!∗C57∗5!3! C) 6!/2!∗C57∗6!3! D) 3!/2!∗C57∗5!3! E) 12!/2!∗C57∗5!3! | Step 1: Separate consonants with 7 empty slots *C*R*P*R*T*N*. Step 2: 6 consonants CRPRTN can be arranged in 6!/2! ways (6 letters with two R's); Step 3: we have 5 vowels OOAIO. Choose 5 slots out of 7 for them (this way no two vowels will be together): C57 Step 4: 5 vowels in their slots can be arranged in 5!/3!... | A | calc |
math_qa__trzMbMnZPXiqa2jg | The average of 5 quantities is 6. The average of 3 of them is 4. What is the average of remaining 2 numbers? Choose the most appropriate option: A) 9 B) 10 C) 8 D) 9.5 E) none of these | <gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">30 - 12</gadget>
<output>18</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<result>A</result> | A | calc |
gsm8k__kBtU8SU4YPAfOHUB | Sam bought a dozen boxes, each with 30 highlighter pens inside, for $10 each box. He rearranged five of these boxes into packages of six highlighters each and sold them for $3 per package. He sold the rest of the highlighters separately at the rate of three pens for $2. How much profit did he make in total, in dollars? | Sam bought 12 boxes x $10 = $
<gadget id="calculator">12*10</gadget>
<output>120</output>
120 worth of highlighters.
He bought 12 * 30 =
<gadget id="calculator">12*30</gadget>
<output>360</output>
360 highlighters in total.
Sam then took 5 boxes * 6 highlighters/box =
<gadget id="calculator">5*6</gadget>
<output>30</... | 115 | calc |
ape210k__00437057 | Take a square billet with a side length of 0.6 meters and forge it into a rectangular steel with a cross section of 0.09 square meters. How long is the forged steel? (solution with equation) | <gadget id="calculator">0.6 * 0.6 * 0.6</gadget>
<output>0.216</output>
<gadget id="calculator">0.216 / 0.09</gadget>
<output>2.4</output>
<result>2.4</result> | 2.4 | calc |
ape210k__00006989 | If a coin is tossed 3 times, 2 heads and 1 tails, what is the probability of tails on the 4th toss? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__01002907 | The decimal point of a two-digit decimal is moved one place to the right to obtain a new decimal. The sum of the two numbers is 6.05. What is the two-digit decimal? | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">6.05 / 11</gadget>
<output>0.55</output>
<result>0.55</result> | 0.55 | calc |
ape210k__00160152 | The password of Xiaoming's combination lock is 1□45, which is a multiple of 3. He has forgotten a number in the combination lock, how many times can he try at least to ensure that the combination lock can be opened. | <result>3</result> | 3 | calc |
math_qa__I0h1Dtrha6OPxLXY | The sum of two numbers is 30 and their difference is 10. Find their product. Choose the correct choice from the following choices.
A) 104 B) 114 C) 315 D) 200 E) 335 | <gadget id="calculator">30 + 10</gadget>
<output>40</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">20 - 10</gadget>
<output>10</output>
<gadget id="calculator">20 * 10</gadget>
<output>200</output>
<result>D</re... | D | calc |
ape210k__00353189 | □The quotient of 508/7 is a three-digit number, the maximum number that can be filled in □. | <result>6</result> | 6 | calc |
aqua_rat__p73pDWz6ZtDQuPVi | An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 9 candidates for the 4 consultant slots. If 2 out of 9 consultants refuse to be on the same team, how many different teams ar... | Answer= Total number combinations - Total number of combinations with constraints Total number of combinations = 2C1*3C1*9C4= 756 Total number of combinations with constraints = 2C1*3C1*7C2=126 Answer=756-126=
<gadget id="calculator">756-126</gadget>
<output>630</output>
630 ANSWER: 630
<result>B</result> | B | calc |
ape210k__00389843 | A batch of parts is inspected, 247 are qualified and 3 are unqualified. What is the pass rate of this batch of parts? | <gadget id="calculator">247 + 3</gadget>
<output>250</output>
<gadget id="calculator">247 / 250</gadget>
<output>247/250 = around 0.988</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(247/250) * 1</gadget>
<output>247/250 = around 0.988</output>
<result>247/250 = arou... | 247/250 | calc |
ape210k__00182617 | The perimeter of a rectangle is 18 centimeters, and how many centimeters are there in length and width? | <result>4</result> | 4 | calc |
ape210k__00557349 | Cut a 3-meter-long rope into 4 sections on average, what is the total length of each section | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00581487 | The tire diameter of a car is 6 decimeters, and the wheel rotates 500 times per minute. How many kilometers does the car travel per hour? | <gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 * 1_000</gadget>
<output>1_000</output>
<gadget id="calculator">60 / 1_000</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">3.14 * (3/5) * 500 * 1 * (3/50)</gadget>
<output>56.52</output>
<result>... | 56.52 | calc |
ape210k__00487611 | If the sum of the sides of a cube is 36 decimeters, what is its surface area in square decimeters? | <gadget id="calculator">36 / 12</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 * 6</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
ape210k__00795115 | The fertilizer factory plans to produce a batch of fertilizers. On the first day, it produced (1/6) of all the tasks, on the second day it produced the remaining tasks (1/4), and on the third day it produced the rest of the tasks after the first two days. (1/5), the result is that there are still 50 tons left unfinishe... | <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">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="ca... | 100 | calc |
ape210k__00893081 | In a ratio, the product of two outer terms is 2.4, one of the inner terms is 6, and what is the other inner term. | <gadget id="calculator">2.4 / 6</gadget>
<output>0.4</output>
<result>0.4</result> | 0.4 | calc |
aqua_rat__mmGO2F4EB9S9nPKM | A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train? Pick.
A) 5 sec B) 9 sec C) 12 sec D) 18 sec E) 15 sec | Answer : E. Speed of the train relative to man = (68 - 8) kmph = (60* 5/18) m/sec = (50/3)m/sec Time taken by the train to cross the man = Time taken by It to cover 250 m at 50/3 m / sec = 250 *3/ 50=
<gadget id="calculator">250 *3/ 50</gadget>
<output>15</output>
15sec
<result>E</result> | E | calc |
aqua_rat__OAraFgyR8gXfjvhl | The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 784 feet squared, what is the difference between the length and the width of the roof?
Choose the correct choice from the following choices: A) 38. B) 40. C) 42. D) 44. E) 46. | Let the width= x x*4x=784 x^2= 196 x= 14 Length= 4*14=
<gadget id="calculator">4*14</gadget>
<output>56</output>
56 difference= 56-14=
<gadget id="calculator">56-14</gadget>
<output>42</output>
42 42. is the answer
<result>C</result> | C | calc |
ape210k__00127918 | Xiao Ming runs to school and walks home, so it takes 30 minutes on the road. If he runs back and forth, it only takes 10 minutes on the road. How many minutes does it take if he walks to and from school? | <gadget id="calculator">30 - 10</gadget>
<output>20</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">20 + 5</gadget>
<output>25</output>
<gadget id="calculator">25 * 2</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00452885 | Specify the new operation \begin{bmatrix}\begin{matrix}a&b\\c&d\end{matrix}\end{bmatrix}=a*db*c, then \begin{bmatrix}\begin{matrix}2&1\\3&4\ end{matrix}\end{bmatrix}=how much. | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">1 * 3</gadget>
<output>3</output>
<gadget id="calculator">8 - 3</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__CeK1JrCRrRDG3lXn | Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank? Pick one.
A) 12 min. 40 sec.
B) 13 min. 40 sec.
C) 14 min. 30 sec.
D) 14 min. 20 sec.
E) 14 min. 40 sec. | Part filled in 4 minutes = 4 (1/15+1/20)=7/15. Remaining part =1 - 7/15 =8/15 Part filled by B in 1 minute = 1/20 1/20 :8/15:: 1 : x x =(8/15 x 1 x 20)= 10 2/3 min = 10 min. 40 sec. The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec. Answer is 14 min. 40 sec.
<result>E</result> | E | calc |
ape210k__00305049 | Cars A, B, and C start from point A to point B at the same time. Vehicles A and B are traveling at 90 and 72 kilometers per hour respectively. An oncoming truck encounters vehicles A, B and C successively 6 hours, 7 hours and 8 hours after their departure. So, how many kilometers does car C travel per hour? | <gadget id="calculator">90 * 6</gadget>
<output>540</output>
<gadget id="calculator">108 - 72</gadget>
<output>36</output>
<gadget id="calculator">36 * 2</gadget>
<output>72</output>
<gadget id="calculator">540 - 72</gadget>
<output>468</output>
<gadget id="calculator">468 / 8</gadget>
<output>117/2 = around 58.5</... | 117/2 | calc |
ape210k__00605107 | Because 7*5=35, so 7000*5=how much. | <gadget id="calculator">7_000 * 5</gadget>
<output>35_000</output>
<result>35_000</result> | 35_000 | calc |
math_qa__aAPYMYPtUCLO0nUV | An electric pump can fill a tank in 6 hours. Because of a leak in the tank, it took 12hours to fill the tank. If the tank is full, how much time will the leak take to empty it? Pick: A) 10 hours B) 12 hours C) 8 hours D) 5 hours E) 15 hours | <gadget id="calculator">12 / 1</gadget>
<output>12</output>
<result>B</result> | B | calc |
ape210k__00956733 | Xiaohong reads a story book. On the first day, she reads 1/5 of the whole book, and on the second day, she reads 20% of the whole book. In two days, she reads a total of 36 pages. How many pages does this storybook have? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) + (1/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">36 / (2/5)</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__00964911 | A and B work together to make 377 parts, and the cooperation is completed in 6.5 hours. A makes 12 more parts per hour than B. How many parts does B make per hour? | <gadget id="calculator">377 / 6.5</gadget>
<output>58</output>
<gadget id="calculator">58 - 12</gadget>
<output>46</output>
<gadget id="calculator">46 / 2</gadget>
<output>23</output>
<result>23</result> | 23 | calc |
ape210k__00026199 | There are 26 large cars in the parking lot, and the number of small cars is three times that of large cars. How many large and small cars are there in the parking lot? | <gadget id="calculator">26 * 3</gadget>
<output>78</output>
<gadget id="calculator">78 + 26</gadget>
<output>104</output>
<result>104</result> | 104 | calc |
math_qa__94HbJIEPQ2PI1YGu | A can do a job in 15days and B in 30days. If they work on it together for 4 days, then the fraction of the work that is left is?
Choose the correct choice from the following answers: A) 2 / 15 B) 3 / 5 C) 3 / 11 D) 1 / 12 E) 6 / 13 | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/15) + (1/30)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">4 * (1/10)</gadget>
<output>2/5 = around 0.4</out... | B | calc |
ape210k__00844095 | The engineering team wants to build a road, and plans to build 12 meters per day, which will be completed in 6 days. Due to the weather, the actual repair is only 9 meters per day. How many days does it actually take to complete the task? | <gadget id="calculator">6 / 9</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">12 * (2/3)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00041557 | In the book donation activities organized by the school, students in the lower grades donated 206 books, and students in the upper grades donated 88 books, which was four times more than those in the lower grades. How many books did the students in the upper grades donate? | <gadget id="calculator">206 * 4</gadget>
<output>824</output>
<gadget id="calculator">824 + 88</gadget>
<output>912</output>
<result>912</result> | 912 | calc |
gsm8k__wteOyuTyrcodk6kj | Terry's mom brought home 4 different colored dogs from the shelter. The brown dog weighs 4 pounds. The black dog weighs 1 pound more than the brown dog. The white dog weighs twice as much as the brown dog. The grey dog weighs 2 pounds less than the black dog. What's the average weight of all the dogs? | Since the black dog weighs 1 pound more than the brown dog, the black dog weighs 1 + 4 =
<gadget id="calculator">1+4</gadget>
<output>5</output>
5 pounds.
The white dog weighs 4 * 2 =
<gadget id="calculator">4*2</gadget>
<output>8</output>
8 pounds.
Because the grey dog weighs 2 pounds less than the black dog, the gr... | 5 | calc |
aqua_rat__uosv4mHWJfA3tCK7 | A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
Choose the correct choice from the following answers:
A) 18 years
B) 20 years
C) 24 years
D)... | Explanation: Let the present age of the person be x years. Then, 3(x + 3) - 3(x - 3) = x 3x + 9 - 3x + 9 = x => x = 18 18 yearsNSWER IS 18 years
<result>A</result> | A | calc |
aqua_rat__gbAlwUFqfhaSSDZ4 | In one hour,a boat goes 16 km along the stream and 6 km against the stream.The speed of the boat in still water (in km/hr) is :
Options
A) 3 B) 11 C) 8 D) 9 E) 10 | Solution Speed in still water =1/2(16+6)kmph.= 11 kmph. Answer 11
<result>B</result> | B | calc |
ape210k__00550585 | Calculation: 3-(3/2)*(10/21)-(2/7)=how much. | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">10 / 21</gadget>
<output>10/21 = around 0.47619</output>
<gadget id="calculator">(3/2) * (10/21)</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</outpu... | 2 | calc |
ape210k__00729345 | Ping An Primary School distributes 648 sets of desks and chairs to 6 grades, and each grade has 3 classes. How many sets of desks and chairs are allocated to each class on average? | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">648 / 18</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__01133845 | Cars A and B are traveling toward each other from AB at the same time, and continue driving after meeting each other. A travels the whole distance (4/5) and B travels the whole distance (2/3). At this time, the distance between the two cars is 24km. Find the distance between AB and the formula For how much. | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) - 1</gadget>
<output>-1/3 = around -0.333333</output>
<gadget id="calculator">(4/5) + (-1/3)</gadget>
<output>7/15 = around 0.466667</ou... | 360/7 | calc |
math_qa__MBtMZpxh2vAUJ231 | A 40-liter solution of alcohol and water is 5 percent alcohol. If 3.5 liters of alcohol and 6.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Choose the correct choice:
A) 8 % B) 11 % C) 14 % D) 17 % E) 20 % | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">40 * (1/20)</gadget>
<output>2</output>
<gadget id="calculator">2 + 3.5</gadget>
<output>5.5</output>
<gadget id="calculator">3.5 + 6.5</gadget>
<output>10</output>
<gadget id="calculator">40 + 10</gadget>
<output>5... | B | calc |
ape210k__00854137 | The canteen shipped 150 kilograms of rice, which was 30 kilograms less than three times the amount of flour shipped in. How many kilograms of flour did the canteen bring? | <gadget id="calculator">150 + 30</gadget>
<output>180</output>
<gadget id="calculator">180 / 3</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__NkdCsdLq3kVoidh4 | In an election a candidate who gets 60% of the votes is elected by a majority of 1200 votes. What is the total number of votes polled? Select the correct option: A) 4500 B) 5200 C) 6900 D) 7520 E) 6000 | Let the total number of votes polled be x Then, votes polled by other candidate = (100-60)=
<gadget id="calculator">(100-60)</gadget>
<output>40</output>
40% of x 60% of x - 40% of x= 1200 20x/100 = 1200 x = 1200*100/20=
<gadget id="calculator">1200*100/20</gadget>
<output>6_000</output>
6000 Answer is 6000... | E | calc |
ape210k__00337635 | cuboid packaging box measures 36 cm, 24 cm, and 10 cm in length, width, and height from the inside, and puts it into a cylindrical beverage can with a bottom radius of 3 cm and a height of 10 cm. How many cans can it hold at most? | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">36 / 6</gadget>
<output>6</output>
<gadget id="calculator">24 / 6</gadget>
<output>4</output>
<gadget id="calculator">10 / 10</gadget>
<output>1</output>
<gadget id="calculator">6 * 4 * 1</gadget>
<output>24</output>
<result>24</resu... | 24 | calc |
math_qa__7MINnpo7fUzLatW1 | A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 600 m long? Choices.
A) 266 sec
B) 180 sec
C) 776 sec
D) 166 sec
E) 997 sec | <gadget id="calculator">1_200 + 600</gadget>
<output>1_800</output>
<gadget id="calculator">1_200 / 120</gadget>
<output>10</output>
<gadget id="calculator">1_800 / 10</gadget>
<output>180</output>
<result>B</result> | B | calc |
ape210k__00118310 | What is the percentage of (2/5)? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
aqua_rat__KDVQKBluzNRL3iFv | Real-estate salesman Z is selling a house at a 30 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 30 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 30 percent discount. Salesman Y... | Let the retail price be = x Selling price of Z = 0.70x Selling price of X = 0.70*0.80=
<gadget id="calculator">0.70*0.80</gadget>
<output>0.56</output>
0.56x Selling price of Y= ((0.70x + 0.56x)/2)*0.70 = 0.63x * 0.70 = 0.44x 0.44x = k * 0.56x k = 0.44/0.56 = 44/56=11/14 Answer: 11/14
<result>D</result> | D | calc |
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