id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__Zd0UnmvyvSzkMsCx | Jar Y has 10% more marbles than Jar X . What percent of marbles from Jar Y need to be moved into X so that both jars have equal marbles
Options: A) 4.54% B) 9.09% C) 10% D) 11% E) 12.25 % | No; the choices will be approximated only when GMAT question explicitly mentions that; Here the answer is very close 4.54, not 5. Jar Y has 10% more marbles than X Y = 1.1X If k marbles are taken out of Y. The remaining marbles in Jar Y= 1.1X-k If k marbles are added to X. The new marbles' count in Jar X= X+k... | A | calc |
ape210k__00354436 | Obviously reading a storybook, he has already read 30 pages. At this time, he finds that the ratio of the number of pages he has read to the number of unread pages is 2:5. How many pages does this storybook have? | <gadget id="calculator">2 + 7</gadget>
<output>9</output>
<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">30 / (2/9)</gadget>
<output>135</output>
<result>135</result> | 135 | calc |
ape210k__00354833 | The turnover of Wanda Commercial Building in September is 750,000 yuan, and the business tax is paid at a rate of 3%. How much is the tax payable by this commercial building in September? | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">75 * (3/100)</gadget>
<output>9/4 = around 2.25</output>
<result>9/4 = around 2.25</result> | 9/4 | calc |
aqua_rat__G2luHJmndEDOewg1 | The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)? Choose the correc... | Present total age of the members = 26(5) = 130 years. Present age of the youngest member = 10 years Present total age of the remaining four members = 130 -10=
<gadget id="calculator">130 -10</gadget>
<output>120</output>
120 years Their average age at the time of the birth of the youngest member= [120 - (4 * 10)... | C | calc |
ape210k__00872773 | Mom bought a top with a 20% discount and spent 64 yuan. What was the original price of this top? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">64 / (4/5)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00586465 | If a cone is completely immersed in a cylindrical container with a base diameter of 20 cm and the water level rises by 5 cm, what is the volume of the cone in cubic decimeters? | <gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">3.14 * 100 * (1/20)</gadget>
<output>15.7</output>
<result>15.7</result> | 15.7 | calc |
ape210k__00154466 | Lingling has a total of 95 red and blue balls, and 50% of the red balls are as many as the blue balls (1/3), what is the difference between the two balls? | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(3/5) - (2/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">95 * (1... | 19 | calc |
ape210k__00712037 | Given that the area of a triangle is 22.5 square decimeters, what is the area of a square with the same base and height as the triangle? | <gadget id="calculator">22.5 * 2</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00298714 | Spread 4 cubic meters of yellow sand in a bunker covering an area of 6.4 square meters, how many meters can be spread. | <gadget id="calculator">4 / 6.4</gadget>
<output>0.625</output>
<result>0.625</result> | 0.625 | calc |
aqua_rat__Og2YGaomRj8vQyrW | X can finish a work in 15 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work? Choose the most appropriate option: A) 5 B) 3 C) 4 D) 7 E) 8 | Work done by X in 1 day = 1/15 Work done by Y in 1 day = 1/20 Work done by Y in 12 days = 12/20 = 3/5 Remaining work = 1 – 3/5 = 2/5 Number of days in which X can finish the remaining work = (1/3) / (1/15)=
<gadget id="calculator">(1/3) / (1/15)</gadget>
<output>5</output>
5 5
<result>A</result> | A | calc |
ape210k__00213013 | In a few days, the Sutong Bridge will be fully opened to traffic. On a map with a scale of 1:1,000,000, the main bridge length of the Sutong Bridge is measured to be 1.4 cm. What is the actual length of the main bridge of the Sutong Bridge in kilometers? | <gadget id="calculator">1_000_000 / 100_000</gadget>
<output>10</output>
<gadget id="calculator">1.4 * 10</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
aqua_rat__tpTm6xBMiqYlouRA | What least number must be added to 1096, so that the sum is completely divisible by 23 ?
Pick: A) 2 B) 1 C) 3 D) 5 E) 8 | 1096/23 = 47.6-- that is 23 * 47=
<gadget id="calculator"> 23 * 47</gadget>
<output>1_081</output>
1081 Now, 1096- 1081=
<gadget id="calculator">1096- 1081</gadget>
<output>15</output>
15 To get completely divided by 23 add 8 to 1096 Ans -8
<result>E</result> | E | calc |
ape210k__00521598 | A ship travels 251 kilometers in 3 hours. According to this calculation, how many kilometers can you sail in a day? | <gadget id="calculator">251 / 3</gadget>
<output>251/3 = around 83.666667</output>
<gadget id="calculator">(251/3) * 24</gadget>
<output>2_008</output>
<result>2_008</result> | 2_008 | calc |
ape210k__00906535 | A school used 150 tons of water in April, saving 30 tons compared with March. The water used in April is a fraction of that in March. | <gadget id="calculator">150 + 30</gadget>
<output>180</output>
<gadget id="calculator">150 / 180</gadget>
<output>5/6 = around 0.833333</output>
<result>5/6 = around 0.833333</result> | 5/6 | calc |
ape210k__00668333 | There is a cup of 500ml of 35% sugar water, and 200ml of water is added, what is the concentration of the sugar water now? | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">500 * (7/20)</gadget>
<output>175</output>
<gadget id="calculator">500 + 200</gadget>
<output>700</output>
<gadget id="calculator">175 / 700</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">100 /... | 1/4 | calc |
aqua_rat__xVTH4ucHkOJLjE9j | There are 6 people in the elevator. Their average weight is 154 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person. Select.
A) 133 B) 168 C) 189 D) 190 E) 200 | Solution Average of 7 people after the last one enters = 151 . ∴ Required weight = (7x151)-(6x154) = 1057- 924=
<gadget id="calculator">1057- 924</gadget>
<output>133</output>
133. 133nswer 133
<result>A</result> | A | calc |
ape210k__01028755 | There are 120 students in the sixth grade of the central primary school, and 108 students have reached the physical education standard. What is the physical education standard rate of the sixth grade students in the central primary school? | <gadget id="calculator">108 / 120</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(9/10) * 1</gadget>
<output>9/10 = around 0.9</output>
<result>9/10 = around 0.9</result> | 9/10 | calc |
ape210k__00446194 | A piece of bread is cut into 6 slices of the same size, and Xiaodong eats 2 slices, how much of the bread does Xiaodong eat? | <gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
ape210k__00267330 | What is the total length in centimeters after gluing 4 pieces of paper with a length of 20 centimeters together? (glue is 2 cm) | <gadget id="calculator">20 * 4</gadget>
<output>80</output>
<gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">80 - 6</gadget>
<output>74</output>
<result>74</result> | 74 | calc |
ape210k__00930893 | During the summer vacation, Teacher Li suddenly received a notice from his superiors that the art festival would organize 60 students to rehearse the program. He notified by phone. If each call takes 1 minute, at least how many minutes will it take to notify each team member. | <result>6</result> | 6 | calc |
ape210k__00486767 | 4 kilometers (1/5) is the same length as how many kilometers (4/5). | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(1/5) / (4/5)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 * (1/4)</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
gsm8k__kUCBDBEIVfA7myt2 | Lisa has 36 candies. On Mondays and Wednesdays, she eats 2 candies for each day and on the other days of the week she eats 1 candy for each day. How many weeks does it take for Lisa to eat all of the candies? | On Monday and Tuesday, she eats 2 * 2 =
<gadget id="calculator">2*2</gadget>
<output>4</output>
4 candies.
On the other days of the week, she eats 5 * 1=
<gadget id="calculator">5*1</gadget>
<output>5</output>
5 candies.
In a week she eats 5 + 4=
<gadget id="calculator">5+4</gadget>
<output>9</output>
9 candies.
So i... | 4 | calc |
ape210k__00297858 | Mom bought a set of clothes for Xiaohong, and the trousers cost 36 yuan. The jacket was 12 yuan more expensive than the trousers. How much should the mother pay? | <gadget id="calculator">36 + 12 + 36</gadget>
<output>84</output>
<result>84</result> | 84 | calc |
ape210k__01130671 | Xiaodong reads a story book. He reads 50 pages of the whole book on the first day and 70 pages of the whole book on the second day. At this time, there are only 2/5 of the whole book left. How many pages does this storybook have? | <gadget id="calculator">50 + 70</gadget>
<output>120</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">120 / (3/5)</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00048095 | The adult ticket of the History Museum is 25 yuan, and the student ticket is 12 yuan. Four teachers from a certain school lead 112 students to visit a history museum. How much does it cost to buy tickets? | <gadget id="calculator">25 * 4</gadget>
<output>100</output>
<gadget id="calculator">12 * 112</gadget>
<output>1_344</output>
<gadget id="calculator">100 + 1_344</gadget>
<output>1_444</output>
<result>1_444</result> | 1_444 | calc |
ape210k__01221065 | For a cuboid, if the height increases by 3 decimeters and the length and width remain the same, its surface area increases by 48 square decimeters, and it becomes exactly a cube. What is the volume of this cuboid in cubic decimeters | <gadget id="calculator">48 / 4 / 3</gadget>
<output>4</output>
<gadget id="calculator">4 - 3</gadget>
<output>1</output>
<gadget id="calculator">4 * 4 * 1</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00472239 | Divide a circle into several parts on average, and then put together an approximate rectangle, the circumference of which is increased by 8 cm. What is the area of this rectangle. | <gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">6.28 * 4</gadget>
<output>25.12</output>
<gadget id="calculator">25.12 / 2</gadget>
<output>12.56</output>
<gadget id="calculator">12.56 + 4</gadget>
<output>16.56</output>
<gadget id="calculator">16.56 * 2</gadget>
<output>33.12</out... | 33.12 | calc |
ape210k__00426866 | A pencil (2/5) yuan, how much is 3 pencils. | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 3</gadget>
<output>6/5 = around 1.2</output>
<result>6/5 = around 1.2</result> | 6/5 | calc |
aqua_rat__SP2yMpi6jJi6noSN | A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices
A) 12 B) 20 C) 88 D) 77 E) 14 | 1: 2/5 = 5: 2 2/7 * 70=
<gadget id="calculator">2/7 * 70</gadget>
<output>20</output>
20 Answer: 20
<result>B</result> | B | calc |
ape210k__00573677 | Apples cost 12 yuan per kilogram, how much does it cost to buy 12 kilograms of apples? | <gadget id="calculator">12 * 12</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
aqua_rat__himaNAwMaDB9k6wg | the percentage discount offered for"Buy 6 get 1 free is"?
Choose one:
A) 14.29% B) 15.29% C) 17.29% D) 19.29% E) 12.29% | Total Items = 7 Discounted = 1 Percentage = 1/7*100 =14.29% 14.29%NSWER:14.29%
<result>A</result> | A | calc |
ape210k__00895163 | According to national regulations, personal income does not exceed 3,000 yuan and no tax is paid. If it exceeds 3,000 yuan, the excess part is subject to personal income tax at 15%. Uncle Yang’s salary is 4,500 yuan. How much is his actual salary? | <gadget id="calculator">4_500 - 3_000</gadget>
<output>1_500</output>
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1_500 * (3/20)</gadget>
<output>225</output>
<gadget id="calculator">4_500 - 225</gadget>
<output>4_275</output>
<result>4_275</result> | 4_275 | calc |
ape210k__00108913 | ◎ indicates a new operation symbol, known 2◎3=2+3+4, 7◎2=7+8, 3◎5=3+4+5+6+7, according to this rule, 10◎4 = how much. | <gadget id="calculator">10 + 11 + 12 + 13</gadget>
<output>46</output>
<result>46</result> | 46 | calc |
aqua_rat__wufp7U1FNs46x8GH | The ratio of numbers is 3:4 and their H.C.F is 3. Their L.C.M is:
Choose the correct choice from the following answers.
A) 12 B) 16 C) 36 D) 48 E) 98 | Let the numbers be 3x and 4x. Then their H.C.F = x. So, x = 3. So, the numbers are 9 and 12. L.C.M of 9 and 12 = 36. ANSWER:36
<result>C</result> | C | calc |
ape210k__00732831 | There are two kinds of soap in the store, one is 3 yuan each, and the other is 2 yuan each, and the quantity of the two soaps is the same. The teacher spent a total of 30 yuan on the soap. How many pieces of each soap did you buy? | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">30 / 5</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00375583 | The distance between A and B is 280 kilometers. It takes 4.5 hours for a car to travel from A to B, and it takes 1 hour longer to return than to go. What is the average speed of this car going back and forth? | <gadget id="calculator">280 * 2</gadget>
<output>560</output>
<gadget id="calculator">4.5 + 1 + 4.5</gadget>
<output>10</output>
<gadget id="calculator">560 / 10</gadget>
<output>56</output>
<result>56</result> | 56 | calc |
ape210k__00098272 | There are 23 boys and 25 girls in Class 1 of the fourth grade. For each group of 4 people to participate in labor, how many groups should be divided into total? (by comprehensive formula) | <gadget id="calculator">23 + 25</gadget>
<output>48</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__xsHnoVcW5JK0Bpw4 | Find the surface area of a 8 cm x 6 cm x 2 cm brick. Choose the correct choice from the following answers
A) 112 cu cm
B) 136 cu cm
C) 164 cu cm
D) 180 cu cm
E) 152 cu cm | Sol. Surface area = [2(8 x 6 + 6 x 2 + 8 x 2)] = (2 x 76) = 152 cu cm Answer 152 cu cm
<result>E</result> | E | calc |
ape210k__00605861 | Xiangyang Stationery Store buys erasers at 10 yuan per box, with a purchase price of 44 yuan and a retail price of 6 yuan per piece; pencils in a bundle of 20 sticks, with a purchase price of 16 yuan per bundle and a retail price of 1.30 yuan per piece. The store sold 28 erasers and 15 pencils a day. How much profit do... | <result>52.5</result> | 52.5 | calc |
aqua_rat__aIOpMOSK6xDOOPaL | The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream? Choose the correct choice from the following
A) 170, 10 kmph B) 35, 27 kmph C) 50, 60 kmph D) 115, 15 kmph E) 45, 65 kmph | Speed of the boat in still water = (100+130)/2=
<gadget id="calculator">(100+130)/2</gadget>
<output>115</output>
115 kmph. Speed of the stream= (100-130)/2 = 15 kmph ANSWER:115, 15 kmph
<result>D</result> | D | calc |
ape210k__00337754 | When a number is divided by 7, the quotient is 12 and the remainder is 4. What is the number? | <gadget id="calculator">12 * 7</gadget>
<output>84</output>
<gadget id="calculator">84 + 4</gadget>
<output>88</output>
<result>88</result> | 88 | calc |
ape210k__00318378 | A rectangle with a perimeter of 120 cm has a ratio of length to width of 7:5. What is the area of this rectangle in square centimeters? | <gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">7 + 5</gadget>
<output>12</output>
<gadget id="calculator">7 / 12</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">60 * (7/12)</gadget>
<output>35</output>
<gadget id="calculator">60 - 35</gadget>
<output>25... | 875 | calc |
ape210k__00931935 | The "Three Small" competition was held in Ruian City, and a total of 212 entries were received, including 104 "small productions", 4 less than twice as many as "small inventions". How many "small inventions" are there? | <gadget id="calculator">104 + 4</gadget>
<output>108</output>
<gadget id="calculator">108 / 2</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
math_qa__ADDj5yMVnTGtaQaG | Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many Y miles will Tom drive before Karen wins the bet? Choose the correct choice from the following... | <gadget id="calculator">45 / 60</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 4</gadget>
<output>3</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">60 / 60</gadget>
<output>1</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = aro... | D | calc |
ape210k__00161087 | If a piece of wire 72 cm long is used to form a cube frame, what is the volume of the cube in cubic centimeters? | <gadget id="calculator">72 / 12</gadget>
<output>6</output>
<gadget id="calculator">6 * 6 * 6</gadget>
<output>216</output>
<result>216</result> | 216 | calc |
aqua_rat__sx0kk7FBnFyZqwM8 | John has on his shelf four books of poetry, three novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work? Choose one.
A) 1/6 B) 2/5 C) 3/10 D) 7/20 E) 8/45 | When we are picking two books, one novel and one reference work, we could either pick a novel first and then a reference book or pick a reference book and then a novel. Therefore the answer is 3/9*2/8 + 2/9*3/8 = 1/6. 1/6nswer: 1/6.
<result>A</result> | A | calc |
ape210k__00979731 | What is the difference (9/10) between the largest three-digit number and the smallest four-digit number. | <gadget id="calculator">1_000 - 999</gadget>
<output>1</output>
<gadget id="calculator">9 / 10</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">1 * (9/10)</gadget>
<output>9/10 = around 0.9</output>
<result>9/10 = around 0.9</result> | 9/10 | calc |
ape210k__00634529 | △ and □ represent two numbers respectively, if △+□=120, △/□=4, then △=how many | <gadget id="calculator">120 / 5</gadget>
<output>24</output>
<gadget id="calculator">24 * 4</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
aqua_rat__B010A6tX5uXsWEiC | One night 10 percent of the female officers on a police force were on duty. If 200 officers were on duty that night and half of these were female officers, how many female officers were on the police force? Choose the correct option
A) 90
B) 180
C) 270
D) 500
E) 1,000 | Let total number of female officers in the police force = F Total number of officers on duty on that night = 200 Number of female officers on duty on that night = 200/2=
<gadget id="calculator">200/2</gadget>
<output>100</output>
100 (10/100)*F=100 =>F = 1000 Answer 1,000
<result>E</result> | E | calc |
ape210k__00835663 | 47 students passed the mid-semester test in Class 1, and 3 failed. What is the passing rate? | <gadget id="calculator">47 + 3</gadget>
<output>50</output>
<gadget id="calculator">47 / 50</gadget>
<output>47/50 = around 0.94</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(47/50) * 1</gadget>
<output>47/50 = around 0.94</output>
<result>47/50 = around 0.94</resul... | 47/50 | calc |
ape210k__00345387 | Hongxia Fashion Factory produced 1,200 sets of clothing in February, and 1,500 sets in March. How many percent was the increase in March compared to February? | <gadget id="calculator">1_500 - 1_200</gadget>
<output>300</output>
<gadget id="calculator">300 / 1_200</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00718599 | There is a subtraction formula, add the minuend, the subtrahend and the difference to get 80, what is the minuend | <gadget id="calculator">80 / 2</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__KPLbh6tX0TEkO2QV | When Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent greater than the quantifying chopped by Tom?.
Opti... | Tom chops 4 lbs in 6 minutes Tammy chops 9 lbs in 6 minutes So in the same amount of time, Tammy chops 125% more than Tom, since 9 is 125% greater than 4. So 125% is the answer. Note that the actual time doesn't matter. If you multiply the time each work by x, you'll multiply the work each does by x, and 9x is st... | B | calc |
ape210k__00215880 | It is now 9:20, how many minutes later, the hour and minute hands will coincide for the first time. | <gadget id="calculator">5 / 60</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/12) * 20</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">25 + (5/3)</gadget>
<output>80/3 = around 26.666667</output>
<gadget id="calculator">1 - (1/12)</gadget>
<output>11/12 = around 0... | 320/11 | calc |
ape210k__00312552 | 4999+499+49+3. | <gadget id="calculator">4_999 + 499 + 49 + 3</gadget>
<output>5_550</output>
<result>5_550</result> | 5_550 | calc |
ape210k__00549976 | ((a)/15) can be transformed into a finite decimal, so what should a be equal to | <result>6</result> | 6 | calc |
ape210k__00631013 | A glass of pure milk, the first time I drink it (1/3), after filling up with water, I drink it again (1/3), how much milk did I drink in total? | <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">(2/3) * (1/3)</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">(2/9) + (1/3)</gadget>
<output>5/9 = around 0.5... | 5/9 | calc |
ape210k__00534618 | A, B, and C process a batch of parts, A's processing accounts for (1/2) of the other two's total processing (1/2), B's processing accounts for the other two's total processing (1/3), and the remaining 300 parts are produced by After processing C, how many parts are there in this batch? | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/3) - (1/4)</gadge... | 720 | calc |
ape210k__00399855 | If a cylinder with a base diameter of 10 cm and a height of 12 cm is processed into the largest cuboid, what is the volume of the cuboid in cubic centimeters? | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">2 * 25 * 12</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
ape210k__00063820 | Two people, A and B, start from A and B respectively and walk towards each other. Their speed ratio is 3:2 when they start. After they meet for the first time, A’s speed increases by 20%, and B’s speed increases. 30%. In this way, when A arrives at B, B is still 28 kilometers away from A, so how many kilometers is the ... | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 + (3... | 90 | calc |
aqua_rat__00bRWlzMk8CsWFUA | The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.80 per metre. Pick:
A) 2399
B) 6336
C) 2999
D) 5808
E) 2888 | Explanation: Area = (13.86 x 10000) sq.m = 138600 sq.m Circumference = Cost of fencing = Rs. (1320 x 4.80) = Rs. 6336. Answer: 6336) 6336
<result>B</result> | B | calc |
aqua_rat__M2eUlsRO0XlDVqY6 | On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 10 percent. What was the total rent the motel actually charged for that... | Let total rent the motel charge for all rooms =x If 10 rooms that were rented for 60 $ had instead been rented for 40 $, then total difference in prices = 20 $ * 10 = 200 $ Total rent the motel charged would have been reduced by 10 % .10x = 200 => x= 2000 Answer $2,000
<result>E</result> | E | calc |
ape210k__00206015 | The engineering team repaired a 9-kilometer-long section of road in 28 days. How much is the average amount of road repaired per day? | <gadget id="calculator">1 / 28</gadget>
<output>1/28 = around 0.035714</output>
<result>1/28 = around 0.035714</result> | 1/28 | calc |
aqua_rat__DfZv5SIuKBV0TI6V | A car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 60 km/hour. At what speed, in km/hr, is the car traveling? Choices:
A) 70
B) 72
C) 74
D) 75
E) 55 | Time to cover 1 kilometer at 80 kilometers per hour is 1/60 hours = 3,600/60 seconds = 60 seconds; Time to cover 1 kilometer at regular speed is 60 + 5=
<gadget id="calculator"> 60 + 5</gadget>
<output>65</output>
65 seconds= 65/3,600 hours = 1/55 hours; So, we get that to cover 1 kilometer 1/55 hours is needed -... | E | calc |
math_qa__SyNyqv5zeZ9fXBxL | A man is 22 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Pick: A) 23 years B) 22 years C) 21 years D) 20 years E) 19 years | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">22 - 2</gadget>
<output>20</output>
<gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">20 / 1</gadget>
<output>20</output>
<result>D</result> | D | calc |
ape210k__00625820 | A wooden stick is sawn into small sections of the same length, and after 7 sawings, each small section takes up ((())/(())) of the entire length of the wooden stick. | <gadget id="calculator">7 + 1</gadget>
<output>8</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<result>1/8 = around 0.125</result> | 1/8 | calc |
ape210k__00891751 | Xiao Ming (8 years old), grandpa, grandma, father and mother went to the park to play. It is known that an adult ticket is 15 yuan and a child ticket is 7 yuan. How much does it cost for their family of five? | <gadget id="calculator">15 * 4</gadget>
<output>60</output>
<gadget id="calculator">60 + 7</gadget>
<output>67</output>
<result>67</result> | 67 | calc |
ape210k__00097192 | The distance between Tianjin and Jinan is 360km. A train drives from Tianjin to Jinan at 13:30 and arrives at 16:30. How many miles per hour does the train travel on average? | <gadget id="calculator">16.5 - 13.5</gadget>
<output>3</output>
<gadget id="calculator">360 / 3</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
aqua_rat__o9Wv4JJHn1mc64PH | Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 67.5% percent carbonated water, what percent of the volume of the mixture is P? Choose the correct choice:
A) 25% B) 40% C) 50% D) 60% E) ... | 67.5% is 12.5%-points below 80% and 12.5%-points above 55%. So the ratio of solution P to solution Q is 1:1. Mixture P is 1/2 = 50% of the volume of mixture PQ. The answer is 50%.
<result>C</result> | C | calc |
aqua_rat__yOrgnZAWN6cveX8T | John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house? Select:
A) 2 1/5 Km B) 3 1/5 Km C) 3 2/5 Km D) 3 3/5 Km E) 4 1/5 Km | Formula = S1*S2/S2-S1 * T1+T2/60 = 4*6/2 * 16/6 = 24/2 * 16/60 = 8 * 2/5 = 16/5 = 3 1/5 Km 3 1/5 Km
<result>B</result> | B | calc |
math_qa__5GlbCynt340iYELR | At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? Select: A) 62.5 B) 62.8 C) 62.1 D) 62.9 E) 32.5 | <gadget id="calculator">47.5 * 25</gadget>
<output>1_187.5</output>
<gadget id="calculator">1_187.5 / 100</gadget>
<output>11.875</output>
<gadget id="calculator">47.5 + 11.875</gadget>
<output>59.375</output>
<gadget id="calculator">59.375 * 100</gadget>
<output>5_937.5</output>
<gadget id="calculator">100 - 5</ga... | A | calc |
ape210k__00537445 | The perimeter of a rectangular flower bed is 120 meters, and the ratio of length to width is 3:1. What is the area of this rectangular flower bed in square meters? | <gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">60 * (3/4)</gadget>
<output>45</output>
<gadget id="calculator">60 - 45</gadget>
<output>15</output... | 675 | calc |
gsm8k__EgXz2Z3qZF5w5Oa6 | Balki is counting the number of raisins in boxes of cereal. He counted 437 total raisins in 5 boxes. In one box he counted 72 raisins. In a second box he counted 74 raisins. The other three boxes had the same number each. How many were in each of the other three boxes? | Let x = the number of raisins in each of the other 3 boxes. Then 72 + 74 + 3x = 437 raisins.
Combining like terms we get 146 + 3x = 437 raisins.
Subtracting 146 from both sides we get 3x = 291 raisins.
Dividing both sides by 3, we get x = 291 / 3 = 97 raisins.
<result>97</result> | 97 | calc |
ape210k__00075343 | A project requires 12 days to be completed by the cooperation of teams A and B, 15 days by the cooperation of teams B and C, and 20 days by the cooperation of teams A and C. If A, B and C cooperate, how many days will it take to complete? | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/12) + (1/15) + (1/20)</gadget>
<output>1/5 = around 0.... | 10 | calc |
aqua_rat__T8KjR1dYgR8MKtrR | A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: Choose the correct choice from the following choices:
A) 18 B) 24 C) 42 D) 81 E) 83 | Let the two digit number is 10x+y Product of the digits x*y=8 10x+y+18=10y+x on solving this we get X-y=-2 x+y=6 by solving the above two equations we get x=2 and y=4 therefore the digit is 10*2+4=
<gadget id="calculator"> 10*2+4</gadget>
<output>24</output>
24 ANSWER:24
<result>B</result> | B | calc |
ape210k__00289855 | A workshop planned to produce 200 parts, but produced 240. How much was the overproduction? | <gadget id="calculator">240 - 200</gadget>
<output>40</output>
<gadget id="calculator">40 / 200</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00841949 | For "Hope Primary School", the fifth grade donated a total of 240 yuan, accounting for (1/4) of the total donations of the whole school, and the fourth grade donations accounted for (1/6) of the total donations of the whole school. How much is the fourth grade donation? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">240 / (1/4)</gadget>
<output>960</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">960 * (1/6)</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
ape210k__00282275 | There are two cars A and B. The fuel consumption of car A per 100 kilometers is 2 liters more than that of car B per 100 kilometers. It is also known that the gasoline that can make car A travel 60 kilometers can make car B travel 65 kilometers. Then How many liters of fuel does car B consume per 100 kilometers? | <gadget id="calculator">2 / 100</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">1 / 60</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">1 / 65</gadget>
<output>1/65 = around 0.015385</output>
<gadget id="calculator">(1/60) - (1/65)</gadget>
<output>1/780 = around 0.001282... | 24 | calc |
aqua_rat__xB8Ly3W4O9uGhBZv | Let R1 and R2 respectively denote the maximum and minimum possible remainders when (276)n is divided by 91 for any natural number n , n>= 144. Find R1+R2.
Select
A) 90 B) 82 C) 84 D) 64 E) None | Explanation : The remainder when 276 divided by 91 is 3 hence remainder of (276)n/91 = remainder 3n/91 Taking n = 1,2,3,4,5 We get the possible remainders as 3, 9, 27, 81, 61, 1 respectively. For n>5, the pattern repeats Hence R1 = 81 and R2 = 1 R1+R2 = 81+1=
<gadget id="calculator">81+1</gadget>
<out... | B | calc |
aqua_rat__pqXlG57KKE1M1umT | The length of a room is 5 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre. Choose the correct choice from the following answers.
A) 21375
B) 25750
C) 26550
D) 26750
E) 25725 | Area = 5 × 4.75 sq. metre. Cost for 1 sq. metre. = Rs. 900 Hence total cost = 5 × 4.75 × 900 = 5 × 4275 = Rs. 21375 21375nswer is 21375.
<result>A</result> | A | calc |
ape210k__00202940 | Cut off half of a rope, more than 4 meters, and then cut off the remaining half, leaving 43 meters. How long is this rope? | <gadget id="calculator">43 * 2</gadget>
<output>86</output>
<gadget id="calculator">86 + 4</gadget>
<output>90</output>
<gadget id="calculator">90 * 2</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
ape210k__00528770 | How many classrooms of 50 square meters have an area of about 1 hectare. | <gadget id="calculator">10_000 / 50</gadget>
<output>200</output>
<gadget id="calculator">1 * 200</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
aqua_rat__jj8IlyBTcTgYDF4p | The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result? Choose the correct choice
A) 21 B) 67 C) 18 D) 25 E) 23 | 1 to 11 = 11 * 49=
<gadget id="calculator">11 * 49</gadget>
<output>539</output>
539 1 to 6= 6 * 49=
<gadget id="calculator">6 * 49</gadget>
<output>294</output>
294 6 to 11= 6 * 52=
<gadget id="calculator">6 * 52</gadget>
<output>312</output>
312 6th= 294 + 312 – 539 = 67 Answer:67
<result>B</result> | B | calc |
aqua_rat__z9ZRri2AoBSijjMw | Each student at a certain business school is assigned a 8-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create?
Choose the correct choice fr... | The identification number is of the form _ _ _ _ 1. First digit cannot be 0 2. Middle digits can be anything 3. Last digit has to be prime - 2, 3, 5, 7 We can have the following number of possibilities for each space __ __ __ __ 9 10 10 10 10 10 10 4 Total cases = 36,000,000 Option 36,000,000
<result>C<... | C | calc |
ape210k__01105497 | Xiaolan's mother deposited 20,000 yuan in the bank two years ago with an annual interest rate of 2.7%. Now she wants to transfer the expired money to a five-year fixed deposit with an annual interest rate of 4.75%. How much money can she get back when it matures? | <gadget id="calculator">2 * 10_000</gadget>
<output>20_000</output>
<gadget id="calculator">2.7 / 100</gadget>
<output>0.027</output>
<gadget id="calculator">20_000 * 0.027 * 2</gadget>
<output>1_080</output>
<gadget id="calculator">20_000 + 1_080</gadget>
<output>21_080</output>
<gadget id="calculator">4.75 / 100<... | 26_086.5 | calc |
ape210k__00357569 | There is a column of numbers: 2, 5, 8, 11, 14, ... What is the 20th number in this column. | <gadget id="calculator">20 - 1</gadget>
<output>19</output>
<gadget id="calculator">19 * 3</gadget>
<output>57</output>
<gadget id="calculator">2 + 57</gadget>
<output>59</output>
<result>59</result> | 59 | calc |
ape210k__00266238 | If the area of a rectangle is 12 square centimeters, what is the area of the square centimeter if it is enlarged on a scale of 1:4? | <gadget id="calculator">12 * 16</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
ape210k__00946407 | A cuboid with a surface area of 30 square centimeters can be divided into 7 identical cubes. What is the volume of this cuboid in cubic centimeters? | <gadget id="calculator">6 * 7</gadget>
<output>42</output>
<gadget id="calculator">2 * 6</gadget>
<output>12</output>
<gadget id="calculator">42 - 12</gadget>
<output>30</output>
<gadget id="calculator">30 / 30</gadget>
<output>1</output>
<gadget id="calculator">1 * 1 * 1 * 7</gadget>
<output>7</output>
<result>7<... | 7 | calc |
ape210k__00792705 | The distance between A and B is 375 kilometers. After a car drives for 3 hours, the remaining distance is 15 kilometers longer than the distance traveled. How many kilometers does this car drive on average per hour? | <gadget id="calculator">375 - 15</gadget>
<output>360</output>
<gadget id="calculator">360 / 2 / 3</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00896995 | A cylindrical oil barrel has a bottom diameter of 60cm and a height of 1m. After pouring out 40% of the oil in the barrel, how high is the remaining oil in the barrel? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 * 100 * (3/5)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00065130 | A rectangular piece of land with an area of 0.6 hectares has a length of exactly 100 meters. Now it is necessary to enclose the largest square flower garden in this field. How many square meters is the area of this square flower garden? | <gadget id="calculator">10_000 / 100</gadget>
<output>100</output>
<gadget id="calculator">0.6 * 100 * 0.6 * 100</gadget>
<output>3_600</output>
<result>3_600</result> | 3_600 | calc |
ape210k__01141379 | The price of a piece of sportswear after a 20% discount is 560 yuan. What is the original price of this piece of sportswear? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">560 / (4/5)</gadget>
<output>700</output>
<result>700</result> | 700 | calc |
ape210k__00537000 | The physical education standard rate of Class 1 is 90%, and how many people fail to meet the standard? | <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>
<result>1/10 = around 0.1</result> | 1/10 | calc |
aqua_rat__lVUgufxm1kU8BXN3 | A train of 50 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long? Choose the correct choice from the following answers.
A) 6 B) 3 C) 4 D) 4.5 E) 2 | 4.5 = 50 * 60 + 1500 = 3000 m T = 4500/60 * 18/5=
<gadget id="calculator">4500/60 * 18/5</gadget>
<output>270</output>
270 sec= 4.5 mins Answer:4.5
<result>D</result> | D | calc |
ape210k__00344940 | How much does 50 meters increase to 70 meters? | <gadget id="calculator">70 - 50</gadget>
<output>20</output>
<gadget id="calculator">20 / 50</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
math_qa__BOOWsKrV4opVk3BL | In a kilometer race, A beats B by 20 meters or 10 seconds. What time does A take to complete the race?
Choose the correct choice from the following choices.
A) 290 sec
B) 190 sec
C) 199 sec
D) 192 sec
E) 490 sec | <gadget id="calculator">1 * 1_000</gadget>
<output>1_000</output>
<gadget id="calculator">20 / 10</gadget>
<output>2</output>
<gadget id="calculator">1_000 / 2</gadget>
<output>500</output>
<gadget id="calculator">500 - 10</gadget>
<output>490</output>
<result>E</result> | E | calc |
ape210k__00800745 | The area of the triangle is 27cm**2, the ratio of the base to the height is 2:3, what is the height of the triangle in cm? | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00285030 | The TV factory actually produced 4,500 TV sets in March, which was (1/8) more than the original plan. How many units were originally planned to be produced? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 + (1/8)</gadget>
<output>9/8 = around 1.125</output>
<gadget id="calculator">4_500 / (9/8)</gadget>
<output>4_000</output>
<result>4_000</result> | 4_000 | calc |
math_qa__4NyugGdP0FseuepC | nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 12 cm? Select.
A) 243 cm 2
B) 239 cm 2
C) 267 cm 2
D) 230 cm 2
E) 228 cm 2 | <gadget id="calculator">20 + 18</gadget>
<output>38</output>
<gadget id="calculator">12 * 38</gadget>
<output>456</output>
<gadget id="calculator">456 / 2</gadget>
<output>228</output>
<result>E</result> | E | calc |
aqua_rat__rRTvh1niIsOMzBZt | Find a 6-digit integer abcdef with the following properties:
Take the rightmost digit and place it in front of the integer to form a new number (abcdef --> fabcde).
The new one is the product of the old one and the shifted digit (fabcde = f*abcdef).
What was the original integer? Choose the correct choice from the fol... | a=1 b=0 c=2 d=5 e=6 f=4 fabcde = f x abcdef 410256 = 4 x 102564 ANSWER:102564
<result>B</result> | B | calc |
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