id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00918001 | There are 30 rows of seats in the west stand of a gymnasium, and the rear row has 2 more seats than the front row. It is known that the first row has 74 seats, and the last row has 132 seats. How many seats are there in the west stand of the stadium? | <gadget id="calculator">132 + 74</gadget>
<output>206</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">206 * 15</gadget>
<output>3_090</output>
<result>3_090</result> | 3_090 | calc |
ape210k__00432884 | There are 22 residential buildings in Xingfu Community, each residential building has 4 units, and each unit can accommodate 12 households. How many households can live in this community? | <gadget id="calculator">12 * 4 * 22</gadget>
<output>1_056</output>
<result>1_056</result> | 1_056 | calc |
aqua_rat__GZpLi03X2jGe9JeN | In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m? Choose the correct choice from the following answers
A) 127.5 B) 127.1 C) 127.8 D) 127.2 E) 127.0 | When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m. When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8=
<gadget id="calculator">6300/8</gadget>
<output>1_575/2 = around 787.5</output>
787.5 m. In a race of 1000 m, A beats C by (1000 - 787.5)=
<gadget id="calculator"> (1000 - 7... | B | calc |
ape210k__00180322 | Teacher Li, Xiao Ma, Xiao Lu, and Xiao Zhou walked the same road from school to the cinema successively. The walking speed of the three students was equal, and Teacher Li's walking speed was 1.5 times that of the students. Now Teacher Li is 235 meters away from the school, Xiao Ma is 87 meters away from the school, Xia... | <gadget id="calculator">235 - 26 - 59 - 87</gadget>
<output>63</output>
<gadget id="calculator">3 - 1.5</gadget>
<output>1.5</output>
<gadget id="calculator">63 / 1.5</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
ape210k__00452808 | 500 corn seeds were used for an experiment, and the number of germinated seeds was 480. What is the germination rate? | <gadget id="calculator">480 / 500</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(24/25) * 1</gadget>
<output>24/25 = around 0.96</output>
<result>24/25 = around 0.96</result> | 24/25 | calc |
ape210k__00139541 | A/B=23, if (A*13)/(B*13), what is the quotient. | <result>23</result> | 23 | calc |
aqua_rat__FO3tXemu7j5t5a3H | A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently ni... | no. of possible outcomes = 6*6=
<gadget id="calculator">6*6</gadget>
<output>36</output>
36 no. of outcomes that result a total of 9 (as A is 9 spaces behind B)= 4 ( (3,6), (4,5), (5,4), (6,3) ) So, the probability = 4/36=1/9 (Option 1/9)
<result>C</result> | C | calc |
math_qa__UGXA8uR6RCBqRWd7 | If the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline, by how much % should he reduce the quantity of gasoline that he buys? Choose the correct option.
A) 10 % B) 12.5 % C) 8 % D) 12 % E) 6.66 % | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 + (3/20)</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<g... | C | calc |
aqua_rat__v41vn2kYEAyF1Uiu | Five persons - A, B, C, D and E are being compared in weight and height. The second heaviest person. D is the shortest. A is the 2nd tallest and shorter than E, The heaviest person is the third tallest person. There is only one person shorter than B, who is lighter than E and A respectively.
Who is the heaviest person?... | Explanation: A is the second tallest person. There is only one person shorter than B. So, B is the fourth tallest person. D is the shortest and second heaviest. Weight Height 1 2 D A 3 4 B 5 D A is shorter than E. So, the third tallest person is C. Who is the heaviest person. B is lighter than E and... | C | calc |
ape210k__00416934 | 10 meters long rope, cut off (1/5), how many meters are left. | <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">10 * (4/5)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__01183945 | Telecom companies have two plans for charging mobile phones: the first one, the user's monthly fee is 10 yuan plus the call fee of 0.4 yuan per minute; the second one, the user's monthly fee is 25 yuan plus the monthly fee 0.2 yuan call fee per minute. Due to business needs, Boss Wang’s phone calls are no less than 3 h... | <result>3</result> | 3 | calc |
aqua_rat__2vjg0UjYTs30PR9L | The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
Choices:
A) 120
B) 278
C) 378
D) 368
E) 367 | 4*5*6=
<gadget id="calculator">4*5*6</gadget>
<output>120</output>
120 120nswer: 120
<result>A</result> | A | calc |
ape210k__00607852 | The length of a rectangle is 4 cm, the width is 3 cm, what is the perimeter in cm? | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00208827 | Great bargain for home appliances during the festival, the price of the refrigerator is reduced by 296 yuan, and the price of all samples is reduced by 104 yuan. The original price of a refrigerator sample is 3234 yuan, how much is the current price? | <gadget id="calculator">3_234 - 296 - 104</gadget>
<output>2_834</output>
<result>2_834</result> | 2_834 | calc |
ape210k__00336505 | Calculation: 3687-222-363-478-687-1637=how much. | <gadget id="calculator">3_687 - 222 - 363 - 478 - 687 - 1_637</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
ape210k__00826709 | The distance between A and B is 66 kilometers. A and C walk from A to B, and B walks from B to A. A travels 12 kilometers per hour, B travels 10 kilometers per hour, and C travels 8 kilometers per hour. The three start at the same time, how many hours later, B just reaches the midpoint of the distance between A and C? | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">10 - 4</gadget>
<output>6</output>
<gadget id="calculator">8 + 6 + 6</gadget>
<output>20</output>
<gadget id="calculator">66 / 20</gadget>
<output>33/10 = around 3.3</output>
... | 33/10 | calc |
ape210k__00996805 | The charging standard of a taxi in a certain city is: the starting price is 10 yuan (that is, 10 yuan is required if the driving distance does not exceed 3 kilometers). The taxi traveled a total of 5 kilometers from school to home. How much does Teacher Li have to pay? | <gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">2.5 * 2</gadget>
<output>5</output>
<gadget id="calculator">5 + 10</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00568203 | Liu Bo was born on July 12, 1986. How old will he be on his birthday in 2005? | <gadget id="calculator">2_005 - 1_986</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
ape210k__00410051 | The supermarket shipped 13.45 tons of vegetables, 6.55 tons less than the fruit. How many tons of vegetables and fruits are imported by the supermarket? | <gadget id="calculator">13.45 + 6.55 + 13.45</gadget>
<output>33.45</output>
<result>33.45</result> | 33.45 | calc |
aqua_rat__vEgYyX1cAWMiuGzF | If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other Choose the correct choice from the following choices:
A) 34 B) 77 C) 12 D) 45 E) None of these | Explanation: For any this type of question, remember Product of two numbers = Product of their HCF and LCM So Other number = 693×1199 = 77 Answer: Option 77
<result>B</result> | B | calc |
ape210k__00163145 | A part is 3 cm long, draw it on a drawing with a scale of 10:1, how many centimeters should the length be drawn. | <gadget id="calculator">10 / 1</gadget>
<output>10</output>
<gadget id="calculator">3 * 10</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00541451 | □/8=16…2, what is the dividend of this formula | <gadget id="calculator">16 * 8</gadget>
<output>128</output>
<gadget id="calculator">128 + 2</gadget>
<output>130</output>
<result>130</result> | 130 | calc |
ape210k__00140274 | 2008*2006+2007*2005-2007*2006-2008*2005=how much. | <gadget id="calculator">2_008 * 2_006</gadget>
<output>4_028_048</output>
<gadget id="calculator">2_007 * 2_005</gadget>
<output>4_024_035</output>
<gadget id="calculator">2_007 * 2_006</gadget>
<output>4_026_042</output>
<gadget id="calculator">2_008 * 2_005</gadget>
<output>4_026_040</output>
<gadget id="calculat... | 1 | calc |
ape210k__01140921 | It is known that the area of the triangle is 120 square meters, and its area is three times the height. How many meters is the base of the triangle? | <gadget id="calculator">120 / 3</gadget>
<output>40</output>
<gadget id="calculator">2 / 40</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">120 * (1/20)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__zB3ePCQzAz4GbOVK | In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 180 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 30% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resul... | There are 0.3*100=
<gadget id="calculator">0.3*100</gadget>
<output>30</output>
30 ml of element X in the initial solution. We need X to be 1/3rd of 180 ml in the resulting solution, so 60 ml. Thus out of 80 ml of solution added, 30 must be X (in order it to become 60 ml) ans the remaining 50 must be Y. 50 mlnswer... | A | calc |
ape210k__00410029 | There is a rectangular fish pond with a length of 50 meters and a width of 30 meters. If it is to be made into a square fish pond, how many square meters will the area be increased at least? | <gadget id="calculator">50 - 30</gadget>
<output>20</output>
<gadget id="calculator">50 * 20</gadget>
<output>1_000</output>
<result>1_000</result> | 1_000 | calc |
ape210k__00180857 | The distance between port A and port B is 120 kilometers, the speed of the ship is 35 kilometers per hour, and the speed of water is 5 kilometers per hour. How many hours does it take for a passenger to go back and forth between ports A and B by this ship? | <gadget id="calculator">35 + 5</gadget>
<output>40</output>
<gadget id="calculator">120 / 40</gadget>
<output>3</output>
<gadget id="calculator">35 - 5</gadget>
<output>30</output>
<gadget id="calculator">120 / 30</gadget>
<output>4</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<result>7</resu... | 7 | calc |
ape210k__01191647 | The ratio of salt to water in 40 grams of salt water is 1:3, how many grams of water should be added to make the salt content of the salt water 20%. | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">40 * (1/5)</gadget>
<output>8</output>
<gadget id="calculator">40 * (1/5) * 3</gadget>
<output>24</output>
<gadget id="calculator">40 - 8 - 24</gadget>
<output>8</output>
<gadget id="calculator">(1/5) * 3</gadget>
<o... | 10 | calc |
ape210k__00234874 | A rope is (1/2) meters long, how many meters is (1/2) the length of the rope? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * (1/2)</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
aqua_rat__mhY71UIyoudmlPH0 | if abcd is four digit highest number that is divisible by 10.9.22 give remainder 4,9,10. find bc
Select the correct option.
A) 75 B) 89 C) 95 D) 98 E) 97 | 9954.............>95 ANSWER:95
<result>C</result> | C | calc |
ape210k__00783157 | A bottle of beverage, drink it (1/7) more 20 milliliters every day, just finish drinking it in 5 days. How many milliliters is this bottle of drink originally? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(1/5) - (1/7)</gadget>
<output>2/35 = around 0.057143</output>
<gadget id="calculator">20 / (2/35)</gadget>
<output>350</output>
<result>350<... | 350 | calc |
aqua_rat__kQtMeJf3hT7DxXwa | A city with a population of 173,460 is to be divided into 9 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have? Choose one.
A) 17,400 B) 17,500 C... | The minimum possible population occurs when all the other districts have a population that is 10% greater than the least populated district. Let p be the population of the least populated district. Then 173,460 = p + 8(1.1)p 9.8p=173,460 p = 17,700 The answer is 17,700.
<result>D</result> | D | calc |
ape210k__00005277 | There are 34 peach trees planted in the orchard, and the number of pear trees is 8 times that of the peach trees. How many pear trees and peach trees are there in total? | <gadget id="calculator">34 * 8</gadget>
<output>272</output>
<gadget id="calculator">34 + 272</gadget>
<output>306</output>
<result>306</result> | 306 | calc |
ape210k__00018236 | From the fifty numbers of 1, 2, 3, ..., 50, take out a number of numbers so that the sum of any two of them cannot be divisible by 7, then how many numbers can be taken out at most. | <gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">8 + 14 + 1</gadget>
<output>23</output>
<result>23</result> | 23 | calc |
ape210k__00560441 | A road repair team repaired 150 meters of road in the first month, and repaired 1/3 of the full length in the second month, leaving 250 meters to be repaired. How long is this road in meters? | <gadget id="calculator">150 + 250</gadget>
<output>400</output>
<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">400 / (2/3)</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
ape210k__00371224 | Aunt Zhang is interested in a suit, the original price is 1800 yuan, and now there is a 20% discount in the shopping mall. Aunt Zhang can enjoy a 10% discount on top of the discount with the VIP card. How much did she actually pay for this suit? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">1_800 * (4/5) * (9/10)</gadget>
<output>1_296</output>
<resu... | 1_296 | calc |
aqua_rat__F7BXLic0NwY9cSof | A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth? Choose one:
A) Rs.59 B) Rs.58 C) Rs.09 D) Rs.50 E) Rs.13 | SP per metre = 18000/400 = Rs. 45 Loss per metre = Rs. 5 CP per metre = 45 + 5 = Rs.50 Answer: Rs.50
<result>D</result> | D | calc |
ape210k__00785315 | Mom is 40 years old this year. Xiaohong's age is her mother's (1/4) and her grandmother's (1/6). How old is Xiaohong's grandmother this year? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/4) / (1/6)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">40 * (3/2)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
math_qa__a4GNkBKM6LT3gP7U | In a simultaneous throw of a pair of dice, find the probability of getting a total more than 11 Choose the correct option: A) 11 / 25 B) 7 / 12 C) 5 / 13 D) 5 / 12 E) 6 / 17 | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">11 - 6</gadget>
<output>5</output>
<gadget id="calculator">5 / 11</gadget>
<output>5/11 = around 0.454545</output>
<result>A</result> | A | calc |
ape210k__00118322 | The students actively participated in the school children's palace activities. Among them, there are 18 people participating in the robot group, 12 people in the aviation model group are 3 times less than the robot group, and the jigsaw technology group is exactly 3 times the aircraft model group. How many people parti... | <gadget id="calculator">18 * 3</gadget>
<output>54</output>
<gadget id="calculator">54 - 12</gadget>
<output>42</output>
<gadget id="calculator">42 * 3</gadget>
<output>126</output>
<result>126</result> | 126 | calc |
ape210k__00685351 | It is known that A: B=3:5, A is 24 smaller than B, what is the number of A? | <gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__KeYLZOrjJfCTI3yS | The price of pulses has fallen by 22%. How many quintals can be bought for the same amount which was sufficient to buy 20 quintals at the higher price? Choose the most appropriate option:
A) 20 B) 22.5 C) 25.6 D) 27.8 E) 32.5 | 80% of original price can buy = 18 quintals. Therefore, he can buy ( 20 x 100 )/ 78 = 25.6 quintals at the lower price. ANSWER:25.6
<result>C</result> | C | calc |
ape210k__01202265 | The teacher of the information technology class distributes candies to the students in the robot group. If you give 3 candies to each male student and 4 to each female student, then there will be 8 more candies; if you give 4 candies to each male student, and 5 candies to each female student , then there will be 7 less... | <gadget id="calculator">7 - 4</gadget>
<output>3</output>
<gadget id="calculator">3 + 8 + 3</gadget>
<output>14</output>
<gadget id="calculator">5 - 3 - 4</gadget>
<output>-2</output>
<gadget id="calculator">4 + (-2)</gadget>
<output>2</output>
<gadget id="calculator">14 / 2</gadget>
<output>7</output>
<gadget id=... | 60 | calc |
aqua_rat__DxQ2p3jPHXYv0B4W | If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was? Select
A) 12,0000 B) 130000 C) 261000 D) 627000 E) 12690 | Explanation: X * (105/100) * (105/100) * (105/100) = 138915 X = 138915/1.157625=
<gadget id="calculator">138915/1.157625</gadget>
<output>120_000</output>
120000 12,0000nswer: Option 12,0000
<result>A</result> | A | calc |
ape210k__00837971 | Uncle Wang raised 258 roosters and 432 hens. Also raised 46 ducks. How many times are there more chickens than ducks? | <gadget id="calculator">258 + 432</gadget>
<output>690</output>
<gadget id="calculator">690 / 46</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00628313 | On a map with a scale of (1/50000), the distance from Beijing to Tianjin is 28 centimeters. If the train travels 80 kilometers per hour, how long will it take to travel from Tianjin to Beijing by train? | <gadget id="calculator">1 / 50_000</gadget>
<output>1/50_000 = around 0.00002</output>
<gadget id="calculator">28 / (1/50_000) / 100_000 / 80</gadget>
<output>7/40 = around 0.175</output>
<result>7/40 = around 0.175</result> | 7/40 | calc |
aqua_rat__Dizc6oBt4UnD5jCq | If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 4, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
A. B.
C.
D.
E. Answers
A) 1/2
B) 1/3
C) 1/5
D) 1/6
E) 1/7 | 1) Lets first find TOTAL ways.. a) first/leftmost digit can be any of 5 except 0, so 4 ways b) middle digit can be any of the 5. so 5 ways c) the units digit can be ONLY odd- 1,7, and 9- so 3 ways TOTAL = 4*5*3=
<gadget id="calculator">4*5*3</gadget>
<output>60</output>
60 ways 2) lets now find multiple of 3... | B | calc |
ape210k__00755953 | There is a river between two cities. A ship sails between the two cities. It takes 6 hours to sail forward and 8 hours to go upstream. The speed of the current is 2.5 kilometers per hour. Find the speed of the boat in still water. | <gadget id="calculator">2.5 * 6</gadget>
<output>15</output>
<gadget id="calculator">2.5 * 8</gadget>
<output>20</output>
<gadget id="calculator">15 + 20</gadget>
<output>35</output>
<gadget id="calculator">8 - 6</gadget>
<output>2</output>
<gadget id="calculator">35 / 2</gadget>
<output>35/2 = around 17.5</output>... | 35/2 | calc |
ape210k__00273674 | Xiaohua participates in personal accident insurance, the insurance amount is 60,000 yuan, and the annual insurance premium rate (the ratio of the annual insurance premium paid to the insurance amount) is 0.2%. After applying for the insurance for one year, how much should Xiao Ming pay for the insurance premium? | <gadget id="calculator">6 * 10_000</gadget>
<output>60_000</output>
<gadget id="calculator">0.2 / 100</gadget>
<output>0.002</output>
<gadget id="calculator">60_000 * 0.002 * 1</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__01190389 | Xiaofang finished reading a story book in three weeks. Those who read the whole book in the first and second weeks (3/4), those who read the whole book in the second and third weeks (5/7). How much did I read the whole book in the second week? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">5 / 7</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">(5/7) - 1</gadget>
<output>-2/7 = around -0.285714</output>
<gadget id="calculator">(3/4) + (-2/7)</gadget>
<output>13/28 = around 0.464286</... | 13/28 | calc |
ape210k__00663529 | A certain chicken farm collects 960 eggs every day, 8 eggs are placed in a tray, and 5 trays are placed in a box. How many boxes of eggs can this chicken farm collect in a day? | <gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calculator">960 / 40</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
aqua_rat__A5gX9he8DZ5LZczh | With a uniform speed a car covers a distance in 8 hours. Were the speed increased by 4 km/hr the same distance could be covered in 7 1⁄2 hours. What is the distance covered? Choices
A) 640 km B) 480 km C) 420 km D) Cannot be determined E) None of these | Here D⁄7.5 - D⁄8 = 4 (where D is the distance in km) ⇒ 0.5 D = 4 × 8 × 7.5 ⇒ D = 2 × 4 × 8 × 7.5 = 480 km Answer 480 km
<result>B</result> | B | calc |
math_qa__Ko365oBbZcTyJoRF | At what rate percent on simple interest will Rs.750 amount to Rs.900 in 4 years?
Pick one:
A) 6 % B) 2 % C) 4 % D) 5 % E) 3 % | <gadget id="calculator">900 - 750</gadget>
<output>150</output>
<gadget id="calculator">150 / 750</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) / 4</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 100</gadget>
<output>5</output>
<result>D</result> | D | calc |
math_qa__3exyvIJthx4o0seM | 60% of the employees of a company are men. 60% of the men in the company speak French and 50% of the employees of the company speak French. What is % of the women in the company who do not speak French?
Select:
A) 4 % B) 10 % C) 96 % D) 90 % E) 65 % | <gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3... | E | calc |
ape210k__01204135 | Swap the ones and hundreds digits of a three-digit number to get a new three-digit number. It is known that the product of these two three-digit numbers is equal to 52605, so what is the sum of these two three-digit numbers. | <gadget id="calculator">105 + 501</gadget>
<output>606</output>
<result>606</result> | 606 | calc |
ape210k__00732537 | A triangle with an area of 225 square decimeters has a base of 3 meters, what is its height? | <gadget id="calculator">3 * 10</gadget>
<output>30</output>
<gadget id="calculator">2 / 30</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">225 * (1/15)</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__srJLgEl2v9sAitxJ | Each of the 59 members in a Arts class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for ... | Each of the 59 members in a Arts class is required to sign up for a minimum of one and a maximum of three academic clubs. Total = G1 + G2 + G3 - (# In exactly 2) - 2*(# in 3 sets) 59 = 22+27+28 - (6) - 2x so, # In 3 sets = 6=6
<result>C</result> | C | calc |
ape210k__00511115 | A book has 200 pages in total. Wei Wen read 25% of the book on the first day. How many pages should he read on the second day? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">200 * (1/4)</gadget>
<output>50</output>
<gadget id="calculator">50 + 1</gadget>
<output>51</output>
<result>51</result> | 51 | calc |
aqua_rat__giiSv4jr5rXJJhjs | If x is the sum of six consecutive integers, then x is divisible by which of the following: I. 6 II. 7 III. 3
Select the correct option
A) II only B) I only C) I,II only D) II,III only E) III only | We're told that X is the SUM of 6 CONSECUTIVE INTEGERS. We're asked what X is divisible by.... Let's TEST VALUES.... IF we use the 6 consecutive integers: 8,9,10,11,12 and 13, then the sum = 63. 63 is divisible by 3 63 is NOT divisible by 6 63 is NOT divisible by 7 There's only one answer that 'fits' with t... | E | calc |
ape210k__00552612 | It takes 4 minutes for the master to produce 2 parts. It takes 7 minutes for the master to produce 1 piece and the apprentice to produce 1 piece. How many minutes will it take for the apprentice to produce 2 parts? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">7 - 2</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00186879 | A conical pile of sand has a volume of 28.26 cubic meters. If this pile of sand is evenly filled in a rectangular bunker with a length of 5 meters and a width of 2 meters, how many meters is the thickness of the sand? | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">28.26 / 10</gadget>
<output>2.826</output>
<result>2.826</result> | 2.826 | calc |
ape210k__00310299 | Students in grades 4, 5, and 6 of a certain school donated money to the earthquake-stricken area. The amount donated by grade 4 is (2/3) the amount donated by grades 5 and 6, and the amount donated by grade 5 is the amount donated by grades 4 and 6 (3 /5), the known donation amount for the sixth grade is 2700 yuan. How... | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3 + 5</gadget>
<output>8</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 - (2/5) - (3/8)</gadget>
<... | 12_000 | calc |
ape210k__00612038 | Add a 0 after 231, how much more is this number than the original number. | <gadget id="calculator">2_310 - 231</gadget>
<output>2_079</output>
<result>2_079</result> | 2_079 | calc |
aqua_rat__awUk3y6TfQU0YD4l | P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together? Choices
A) 491/2)
B) 4(1/2)
C) 4(1/8)
D) 7(1/2)
E) 4(5/2) | Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total. Work done by P and Q, working together in one day = 1/6 + 1/18 = 4/18 = 2/9 of the total They would take 9/2 days = 4 (1/2) days to complete the work ... | D | calc |
ape210k__00180117 | Saw a piece of wood that is about 2 meters long into 3 sections. It takes (2/3) minutes to saw the wood each time. How many minutes will it take to saw 3 sections? | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">2 * (2/3)</gadget>
<output>4/3 = around 1.333333</output>
<result>4/3 = around 1.333333</result> | 4/3 | calc |
ape210k__00512154 | Cars A and B drive oppositely from places A and B at the same time. The first meeting is 200 kilometers away from place A, and then they each continue to drive at their original speed. The distance from A to the second meeting accounts for 75% of the total length between A and B. How many miles is the distance between ... | <gadget id="calculator">200 * 3</gadget>
<output>600</output>
<gadget id="calculator">75 / 100</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">(1/4) + 1</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculato... | 480 | calc |
math_qa__ccxPe0wgSa8cL56U | At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses T at the restaurant? (Assume that all boxes are filled to capac... | <gadget id="calculator">16 * 2</gadget>
<output>32</output>
<gadget id="calculator">32 * 15</gadget>
<output>480</output>
<result>E</result> | E | calc |
ape210k__00315788 | When a number is divided by 6, there is a remainder. What is the maximum number of this remainder? | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__EbfZaJwzytIZSZjz | A boat crossed a lake from North to South at the speed of 4 km/h, entered a river and covered twice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.5 km/h that day, what was its approximate downstream speed? Choose the correct option.
A) 4 B... | Another way will be: Total time for the trip = distance covered in Lake/speed in still water +distance covered upstream/upstream speed + distance covered downstream/downstream speed If 5D is the total distance, then distance covered in lake = D, distance covered upstream = 2D and distance covered downstream = 2D ... | A | calc |
aqua_rat__tBlhNytYnaIXMuon | If f(x) = 2x+2 what is f(f(3))?
a. 18
b. 8
c. 64
d. 16 Options:
A) 8 B) 18 C) 64 D) 16 E) 26 | f(3)=2*3+2=
<gadget id="calculator">2*3+2</gadget>
<output>8</output>
8 now put this value again in the function f(8)=2*8+2=
<gadget id="calculator">2*8+2</gadget>
<output>18</output>
18 ANSWER:18
<result>B</result> | B | calc |
aqua_rat__6rOYtgFlk3favb3p | A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Choose the correct choice from the following options:
A) 278
B) 240
C) 88
D) 21
E) 192 | Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m Answer:240
<result>B</result> | B | calc |
ape210k__01147739 | On a map with a scale of 1:4000000, the distance between A and B is 24 cm. Two trains depart from A and B at the same time. A train travels 55 kilometers per hour, which is 10 times slower than B per hour. Kilometers, meet in a few hours? | <gadget id="calculator">1 / 4_000_000</gadget>
<output>1/4_000_000 = around 0</output>
<gadget id="calculator">55 + 10 + 55</gadget>
<output>120</output>
<gadget id="calculator">24 / (1/4_000_000) / 100_000 / 120</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00783183 | The store originally had a batch of color TV sets, which were sold (5/7), and 54 sets were shipped in. At this time, the number of color TV sets in the store was less than before (1/5). How many sets were there originally? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">5 / 7</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">1 - (5/7)</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">1 - (1/5) - (2/7)</gadget>
<output>18/35 = around 0.514286</... | 105 | calc |
gsm8k__I4mh90MJHrdo4gA4 | Forty percent of the students have elected to learn from home during the pandemic. The remaining students are divided into two equal groups, only one of which is physically in school on any day. What percent of students are present in school? | 100-40=
<gadget id="calculator">100-40</gadget>
<output>60</output>
60 percent of students are remaining.
60/2=
<gadget id="calculator">60/2</gadget>
<output>30</output>
30 percent are present in school.
<result>30</result> | 30 | calc |
ape210k__00292862 | Aunt Zhang deposited 5,000 yuan in the bank on June 30 this year for three years, with an annual interest rate of 2.70%. How much tax will she pay on the interest when it is due? | <gadget id="calculator">2.7 / 100</gadget>
<output>0.027</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">5_000 * 0.027 * 3 * (1/5)</gadget>
<output>81</output>
<result>81</result> | 81 | calc |
aqua_rat__mhh29EunqoFL6CqS | A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 5.4 kilometer long bridge, at the same speed? Pick.
A) 4 min B) 2 min C) 8 min D) 6 min E) 3 min | S = 600/40=
<gadget id="calculator">600/40</gadget>
<output>15</output>
15 mps S=5400/15=
<gadget id="calculator">5400/15</gadget>
<output>360</output>
360 sec= 6 min.Answer:6 min
<result>D</result> | D | calc |
math_qa__zYPuAZHboebrYdkg | The compound interest on $2000 at 10% per annum is $662. The period(in years) is? Pick one:
A) 2
B) 3
C) 4
D) 5
E) 6 | <gadget id="calculator">2_000 / 662</gadget>
<output>1_000/331 = around 3.021148</output>
<result>B</result> | B | calc |
ape210k__00206600 | train is 360 meters long and travels 18 meters per second. The whole train passes a bridge whose length is (1/4) the length of the train. How much time is needed? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">360 * (1/4)</gadget>
<output>90</output>
<gadget id="calculator">360 + 90</gadget>
<output>450</output>
<gadget id="calculator">450 / 18</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
ape210k__00556458 | 10% discount on a batch of products for the first time. In order to promote sales, a 20% discount was applied on the basis of the discounted price for the second time. At this time, the price of each item was 360 yuan. Q: How much is each item in this batch of stores? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">360 / (4/5) / (9/10)</gadget>
<output>500</output>
<result>500</result> | 500 | calc |
ape210k__00583039 | Car model 10 yuan/pen 2.5 yuan/piece. Dongdong bought two small car models and several pens for 30 yuan. Do you know how many pens he bought? | <gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">30 - 20</gadget>
<output>10</output>
<gadget id="calculator">10 / 2.5</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__bdaRsMs9Y8btPyms | Two trains each 210m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 90km/h while the other travels at 85km/h. how long will it take for them to pass each other completely.
Choose the correct answer
A) 3 sec B) 2.6 sec C) 3.6 sec D) 8.6 sec E) 7.6 sec | Explanation: 8.6 sec = 210 m +210 m = 420 m RS = 90 + 85=
<gadget id="calculator">90 + 85</gadget>
<output>175</output>
175 * 5/18= 243/5 T = 420 * 5/243 = 8.6 sec Answer: Option 8.6 sec
<result>D</result> | D | calc |
ape210k__01120137 | The distance from Tianjin to Beijing is about 120 kilometers. On a map with a scale of (1/5,000,000), what is the approximate distance in centimeters from Tianjin to Beijing? | <gadget id="calculator">1 / 5_000_000</gadget>
<output>1/5_000_000 = around 0</output>
<gadget id="calculator">120 * 100_000 * (1/5_000_000)</gadget>
<output>12/5 = around 2.4</output>
<result>12/5 = around 2.4</result> | 12/5 | calc |
ape210k__00479893 | A parallelogram and a triangle have the same base and area. If the height of the parallelogram is 5 cm, what is the height of the triangle in cm? | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__01023185 | It takes 12 hours for a small ship to sail 120 kilometers downstream and 90 kilometers upstream; at this speed, it takes 8 hours to sail 100 kilometers downstream and 45 kilometers upstream. 30 kilometers, how many hours does it take for this small ship to go back and forth? | <gadget id="calculator">200 - 120</gadget>
<output>80</output>
<gadget id="calculator">16 - 12</gadget>
<output>4</output>
<gadget id="calculator">80 / 4</gadget>
<output>20</output>
<gadget id="calculator">30 / 20</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">12 - 6</gadget>
<output>6</output>... | 7/2 | calc |
aqua_rat__R3o0tzq379qKmTKl | What will be the fraction of 33.33% Select the correct option:
A) 1/4 B) 1/5 C) 1/3 D) 1/8 E) None of above | Explanation: It will 33.33*1/100 = 1/3 Answer: Option 1/3
<result>C</result> | C | calc |
math_qa__AQw3o6gjtkx2vygI | A jogger running at 9 km/hr along side a railway track is 270 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Choose the correct option:
A) 67 sec B) 89 sec C) 39 sec D) 87 sec E) 45 sec | <gadget id="calculator">270 + 120</gadget>
<output>390</output>
<gadget id="calculator">45 - 9</gadget>
<output>36</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">36 / 2</gadget>
<output>18</output>
<gadget id="calculator">5 / 18</gadget>
<output>5/18 = around 0.277778</o... | C | calc |
ape210k__00361483 | Xiaofang bought a square tablecloth for the round dining table at home. The diameter of the round tabletop is 1.4 meters and the height is 1.6 meters. If the four corners of the square tablecloth just touch the ground, the square tablecloth will How many meters is the corner line? | <gadget id="calculator">1.6 * 2</gadget>
<output>3.2</output>
<gadget id="calculator">1.4 + 3.2</gadget>
<output>4.6</output>
<result>4.6</result> | 4.6 | calc |
math_qa__pepJXIk3oW3F9BP0 | The ratio between the sale price and the cost price of an article is 6:4. What is the ratio between the profit and the cost price of that article? Answers
A) 23 B) 1 : 2 C) 2 : 5 D) 3 : 5 E) 25 | <gadget id="calculator">6 - 4</gadget>
<output>2</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<result>B</result> | B | calc |
math_qa__hw71AVanvszxadFT | According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 360 6 ounces servings of orange juice?
Pick.
A) 45 B) 34 C) 50 D) 67 E) 100 | <gadget id="calculator">360 * 6</gadget>
<output>2_160</output>
<gadget id="calculator">2_160 / 12</gadget>
<output>180</output>
<gadget id="calculator">180 / 4</gadget>
<output>45</output>
<result>A</result> | A | calc |
ape210k__00422475 | A cylinder and a cone have the same base and height, and the sum of their volumes is 132cm**3, so what is the volume of the cone in cm**3. | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">132 * (1/4)</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
ape210k__00431162 | Put 7 red balls and 4 blue balls of the same size into a pocket. At least how many balls are taken out in the dark to ensure that two balls are of different colors. | <gadget id="calculator">7 + 1</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
gsm8k__VU5KpUAQv9So4wWo | During the most recent voyage of the Starship Conundrum, the spacecraft traveled from Planet X to Planet Y in eight hours less than twice the number of hours in a typical earth day. If the distance between these two planets is 4,000 parsecs, what was the average speed, in parsecs per hour, of the Starship Conundrum du... | Twice the number of hours in a typical earth day is 24*2=
<gadget id="calculator">24*2</gadget>
<output>48</output>
48 hours.
Eight hours less than twice the number of hours in a typical earth day is 48-8=
<gadget id="calculator">48-8</gadget>
<output>40</output>
40 hours.
If the distance between these two planets is 4... | 100 | calc |
ape210k__00052130 | If the side length of a cube is 0.8 decimeters, what is its surface area? | <gadget id="calculator">0.8 * 0.8 * 6</gadget>
<output>3.84</output>
<result>3.84</result> | 3.84 | calc |
aqua_rat__GFLxc1FNLbrg5bPY | Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $170. What is the share of Rahul?
Pick
A) $68 B) $40 C) $60 D) $100 E) $90 | Rahul's wages: Rajesh's wages = 1/3 : 1/2 = 2:3 Rahul's share = 170*2/5=
<gadget id="calculator">170*2/5</gadget>
<output>68</output>
$68 $68nswer is $68
<result>A</result> | A | calc |
ape210k__01049087 | A cone and a cylinder have the same base and height, and the volume of the cone is 18 cubic decimeters smaller than that of the cylinder. What is the volume of the cylinder? | <gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="calculator">9 * 3</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__00496067 | For a rope, Uncle Wang cut off (1/4) of the total length for the first time, and (1/5) for the second time. It is known that the first time cut 4 meters more than the second time. How many meters is the rope? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/4) - (1/5)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">4 / (1/20)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00015973 | In the parking lot, there are 153 cars with odd number plates, and 15 cars with odd number plates that are three times as many as even number plates. How many cars are there with even number plates? | <gadget id="calculator">153 - 15</gadget>
<output>138</output>
<gadget id="calculator">138 / 3</gadget>
<output>46</output>
<result>46</result> | 46 | calc |
ape210k__01039345 | Each person eats about 160 grams of rice per day, and there are 350 people eating in a cafeteria. How many kilograms of rice do you need to eat in a month (calculated on the basis of 30 days)? | <gadget id="calculator">30 / 1_000</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">160 * 350 * (3/100)</gadget>
<output>1_680</output>
<result>1_680</result> | 1_680 | calc |
ape210k__00854943 | There are 35 teams participating in the 17th World Cup, and each team has 23 athletes. How many athletes participated? | <gadget id="calculator">23 * 35</gadget>
<output>805</output>
<result>805</result> | 805 | calc |
ape210k__00614283 | For a potion containing 10% medicine, the weight of the water is much more than the weight of the medicine. | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10) - (1/10)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) / (1/10)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
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