id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__01075749 | The area of the parallelogram formed by two identical triangles is 56 square decimeters, what is the area of one of the triangles? | <gadget id="calculator">56 / 2</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00152757 | Suppose A◎B=3A-2B, and X◎(4◎1)=7 is known, so what is X◎4= | <gadget id="calculator">3 * 9</gadget>
<output>27</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">27 - 8</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
aqua_rat__qfNTm16QQy8zbwxb | The average weight of 8 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? Choose the correct answer
A) 93 Kg B) 50 Kg C) 85 Kg D) 80 Kg E) 60 KG | Explanation: Total increase in weight = 8 × 3.5 = 28 If x is the weight of the new person, total increase in weight = x−65 => 28 = x - 65 => x = 28 + 65=
<gadget id="calculator">28 + 65</gadget>
<output>93</output>
93 93 Kgnswer: Option 93 Kg
<result>A</result> | A | calc |
aqua_rat__DpLVBWLFstYB19TP | A certain quantity of 60% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced? Options:
A) 1/4
B) 1/3
C) 1/2
D) 2/3
E) 5/7 | Let's say that the total original mixture A is 100 ml The original mixture A thus has 60 ml of alcohol out of 100 ml of solution You want to replace some of that original mixture A with another mixture B that contains 25 ml of alcohol per 100 ml. Thus, the difference between 60 ml and 25 ml is 35 ml per 100 ml of m... | E | calc |
ape210k__00407187 | ship sails down the river from A to B at a speed of 65 km/h and arrives in 8 hours. It took 10 hours to go upstream when returning, what is the average speed of the ship when returning? | <gadget id="calculator">8 / 10</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">65 * (4/5)</gadget>
<output>52</output>
<result>52</result> | 52 | calc |
ape210k__00344321 | There are 80 kilograms of sugar water with a concentration of 10%, how many kilograms of water need to be added to obtain sugar water with a concentration of 8%? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">(1/10) / (2/25)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">80 * (5/4)</gadget>
<output>100</output>
<gadget id="c... | 20 | calc |
ape210k__01083953 | In 2000, the area of my country's nature reserves accounted for 6% of the country's land area. In 2000, the area of my country's nature reserves was tens of thousands of square kilometers. | <gadget id="calculator">6 / 100</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">960 * (3/50)</gadget>
<output>288/5 = around 57.6</output>
<result>288/5 = around 57.6</result> | 288/5 | calc |
aqua_rat__3HV8F5tCmf98V4ES | what is summation of [3^k(28Ck)] (summation range 28 to k=0) where 28Ck is the number of ways of choosing k items from 28 items?? Answers: A) 4^28 B) 4^27 C) 4^26 D) 4^25 E) 4^24 | The expansion of (1+x)^n=nC0 x^0+nC1 x^1+nC2 x^2+...... putting the value of x=3 and n=28 we get (1+3)^28=28C0 3^0+28C1 3^1+28C2 3^2+28C3 3^3....... which is the given summation we need to find hence, ans= 4^28 4^28NSWER:4^28
<result>A</result> | A | calc |
ape210k__01147201 | high-speed EMU set sailed from Wuhan to Guangzhou. It took about an hour and a half (4/9) for the whole journey. What percentage of the journey was the distance from Guangzhou? | <gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">1 - (4/9)</gadget>
<output>5/9 = around 0.555556</output>
<result>5/9 = around 0.555556</result> | 5/9 | calc |
aqua_rat__wbvdoJ6dN5BMt62Y | The product of Diana's age, in years, and a third of Rashid's age, in years, is 32. If Diana is 4 years older than Rashid is, then how old is Rashid ? Choose the correct choice: A) 6 B) 8 C) 9 D) 12 E) 15 | Let D be Diana's age, in years, and Rashid's age be R D*R/3 = 32 D = R+4 Now (R+4)R / 3 = 32 = > R^2+4R-96 => R = 8 or -12. ANS option 8.
<result>B</result> | B | calc |
math_qa__PySEEP8fbeZPdshv | A car travels at a speed of 65 miles per hour. How far will it travel in 6 hours?
Pick one:
A) 125 miles B) 225 miles C) 390 miles D) 425 miles E) 525 miles | <gadget id="calculator">65 * 6</gadget>
<output>390</output>
<result>C</result> | C | calc |
ape210k__00156128 | If A*B=(A*5-2)/B is stipulated, what is the result of 4*3 | <gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<gadget id="calculator">18 / 3</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__JCdHikKZcTb7CI0E | The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is: Answers.
A) 276
B) 299
C) 322
D) 345
E) 365 | Clearly, the numbers are (23 x 13) and (23 x 14). Larger number = (23 x 14) = 322. Answer: Option 322
<result>C</result> | C | calc |
math_qa__1e1ZB17Akqs9Ye4W | For a right angle triangle the hypotenuse is 5 and base is 3. What is the area of the triangle? Select
A) 6
B) 7
C) 8
D) 9
E) 10 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 3</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">25 - 9</gadget>
<output... | A | calc |
math_qa__5T1lY4UQQno2yqhH | Two brothers Ram and Ravi appeared for an exam. The probability of selection of Ram is 3/7 and that of Ravi is 1/5. Find the probability that both of them are selected.
Choose the most appropriate option: A) 3 / 35 B) 2 / 3 C) 7 / 35 D) 5 / 7 E) 7 / 5 | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(3/7) * (1/5)</gadget>
<output>3/35 = around 0.085714</output>
<result>A</result> | A | calc |
aqua_rat__RkJcJBfAbcdWcjaw | How many digits will be there to the right of the decimal point in the product of 95.75 and .02554? Pick.
A) 5
B) 6
C) 7
D) 8
E) 9 | Solution Som of decimal places = 7. Since the last digit to the extreme right will be zero ( ∴ 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point. Answer 6
<result>B</result> | B | calc |
ape210k__00100469 | In a math exercise, A got wrong answers (1/9) of the total number of questions, B got 7 questions right, and both of them answered correctly (1/6) of the total number of questions. How many questions did A get right? | <result>32</result> | 32 | calc |
ape210k__00221401 | The railway between A and B is 490 kilometers long. A train departs from A and travels 196 kilometers in the first 2 hours. At this speed, how many hours will it take to reach B? | <gadget id="calculator">490 - 196</gadget>
<output>294</output>
<gadget id="calculator">196 / 2</gadget>
<output>98</output>
<gadget id="calculator">294 / 98</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00500673 | The circular flower bed in the park in the middle of the street has a circumference of 15.7 meters. What is the area of the flower bed in square meters? | <gadget id="calculator">15.7 / 3.14 / 2</gadget>
<output>2.5</output>
<gadget id="calculator">2.5 ** 2</gadget>
<output>6.25</output>
<gadget id="calculator">3.14 * 6.25</gadget>
<output>19.625</output>
<result>19.625</result> | 19.625 | calc |
math_qa__vH3n9sfSqjc4USQn | 3 machines operating independently , simultaneously , and at the same constant rate can fill a certain production order in 44 hours . if one additional machine were used under the same operating conditions , in how manyfewerhours of simultaneous operation could the production order be fulfilled ? Choose the correct cho... | <gadget id="calculator">3 * 44</gadget>
<output>132</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">132 / 4</gadget>
<output>33</output>
<gadget id="calculator">44 - 33</gadget>
<output>11</output>
<result>D</result> | D | calc |
aqua_rat__oqXT6izPucttdWwy | What is the average of four tenths and five thousandths? Choose the correct choice from the following options
A) 0.2022 B) 0.2012 C) 0.2025 D) 0.2021 E) 0.2029 | Four tenths = 0.4 Five thousandths = 0.005 The average is (0.4 + 0.005)/2=
<gadget id="calculator">(0.4 + 0.005)/2</gadget>
<output>0.2025</output>
0.2025 Answer: 0.2025
<result>C</result> | C | calc |
ape210k__00064556 | There is a cuboid wood whose length, width and height are respectively 10 decimeters, 6 decimeters and 4 decimeters. If it is sawed into cubes with side lengths of 2 decimeters, how many pieces can be sawed at most? | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">5 * 3 * 2</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__6RMTmC3MXnakzjEX | Oranges are purchased for $15/bag at the Farmer's Market. A bag weighs 3 lbs. The oranges are peeled and the seeds removed (removing 1/6 of the weight). Then, these oranges are crushed and used for making marmalade. It takes 1 lb of oranges to make 3 cups of crushed oranges. If 4 cups of crushed oranges can make one ja... | Initial cost for a bag = $15; since 1 bag = 3 lbs, 1 lb = $15/3, but ONLY 5/6 is used. So the cost of 5/6 lb = $5, or 1 lb = $30/5, and 1 lb of oranges = 2 cups of crushed oranges, so 2 cups of oranges costs $30/5, but 4 cups are needed for 1 jar, so cost of 4 cups = $(30/5)(4/3) = $120/15=
<gadget id="calculator"... | C | calc |
aqua_rat__Igf9LHgZyZOqh6qN | A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze? Choose the most appropriate option:
A) 1218 B) 1212 C) 1210 D) 277 E) 291 | π (232 – 122) = 1210 Answer: 1210
<result>C</result> | C | calc |
ape210k__00548048 | Hechuan Jiuchang Street Pedestrian Street held the "Chinese Dream. My Dream" art exhibition, in which 128 paper-cut works were exhibited, 16 less than calligraphy works (9/11). How many calligraphy works were exhibited? | <gadget id="calculator">128 + 16</gadget>
<output>144</output>
<gadget id="calculator">9 / 11</gadget>
<output>9/11 = around 0.818182</output>
<gadget id="calculator">144 / (9/11)</gadget>
<output>176</output>
<result>176</result> | 176 | calc |
ape210k__00023264 | The school buys 25 boxes of white chalk and 25 colored chalks each. The white chalk is 0.48 yuan per box, and the colored chalk is 0.72 yuan per box. How much does the school have to pay in total? | <gadget id="calculator">0.48 + 0.72</gadget>
<output>1.2</output>
<gadget id="calculator">1.2 * 25</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__x931y8qUx9rsH6Bf | A Shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed. The ratio of the cost price and the printed price of the book is:
Choose the most appropriate option
A) 12:24
B) 29:23
C) 32:41
D) 45:56
E) 40:42 | Explanation: Printed price of the book is Rs. 100 After a discount of 10% S.P = Rs. 90 Profit earned = 12% C.P of the book = Rs. (100/112 × 90) = Rs. 1125/14 (C.P) : (Printed price) = 1125/14 : 100 or 45 : 56 Answer: Option 45:56
<result>D</result> | D | calc |
ape210k__00335807 | Hongxing Village plans to build a 3,000-meter canal in 15 days, and actually builds 250 meters a day. By what percentage is the actual work efficiency improved compared to the original plan? | <gadget id="calculator">3_000 / 15</gadget>
<output>200</output>
<gadget id="calculator">250 - 200</gadget>
<output>50</output>
<gadget id="calculator">50 / 200</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__01210341 | Zhang Bing bought 7 pencils and 10 notebooks for a total of 17.6 yuan, and the price of each notebook is 1.2 yuan. How much is each pencil? | <gadget id="calculator">10 * 1.2</gadget>
<output>12</output>
<gadget id="calculator">17.6 - 12</gadget>
<output>5.6</output>
<gadget id="calculator">5.6 / 7</gadget>
<output>0.8</output>
<result>0.8</result> | 0.8 | calc |
ape210k__00531377 | high-speed train departs from Shanghai, passes through Tianjin, and finally arrives in Beijing. There were 616 people on the train at Shanghai Station. When it arrived at Tianjin Station, 378 people got off and 407 boarded. How many people are on board? | <gadget id="calculator">616 - 378</gadget>
<output>238</output>
<gadget id="calculator">238 + 407</gadget>
<output>645</output>
<result>645</result> | 645 | calc |
ape210k__00564270 | How many days are there from June 1st to September 1st? | <gadget id="calculator">31 + 31 + 1</gadget>
<output>63</output>
<gadget id="calculator">30 + 63</gadget>
<output>93</output>
<result>93</result> | 93 | calc |
ape210k__01126753 | The lateral area of a cylinder is 25.12 square centimeters, and its height is equal to the radius of the base. Find the surface area of the cylinder. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 * (1/2) * 12.56</gadget>
<output>12.56</output>
<gadget id="calculator">12.56 + 12.56</gadget>
<output>25.12</output>
<result>25.12</result> | 25.12 | calc |
aqua_rat__vLZdSqxzXJFwDVso | Today is Monday. After 61 days, it will be Pick one
A) Thursday B) Sunday C) Monday D) Saturday E) None of these | Explanation : 61 days = 8 weeks 5 days = 5 odd days Hence if today is Monday, After 61 days, it will be = (Monday + 5 odd days) = Saturday .Answer : Option Saturday
<result>D</result> | D | calc |
ape210k__00224858 | Chickens and rabbits are in the same cage. There are exactly the same number of chickens and rabbits inside. There are 240 legs in total. How many chickens and rabbits are there? | <gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">240 / 3 / 2</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00255833 | There is a cube with a volume of 12cm**3. If the cube is cut into the largest cone, what is the volume of the cone in cm**3? | <gadget id="calculator">157 / 600</gadget>
<output>157/600 = around 0.261667</output>
<gadget id="calculator">12 * (157/600)</gadget>
<output>157/50 = around 3.14</output>
<result>157/50 = around 3.14</result> | 157/50 | calc |
ape210k__00387123 | What is the perimeter of a square table whose side length is 1 meter? | <gadget id="calculator">1 * 4</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00196375 | A's number is 580, which is 182 less than B's number, what is B's number | <gadget id="calculator">580 + 182</gadget>
<output>762</output>
<result>762</result> | 762 | calc |
ape210k__01182691 | There are 45 students in Class A of the fourth grade, 35 of them subscribe to "Primary School Mathematics Newspaper", and 30 people subscribe to "Youth Daily". Each person subscribes at least one copy. How many people subscribe to both newspapers? | <gadget id="calculator">30 - 45</gadget>
<output>-15</output>
<gadget id="calculator">35 + (-15)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__GDjLqhvxBZhVsB6t | A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform? Choose the most appropriate option.
A) 288
B) 350
C) 889
D) 276
E) 234 | Speed = 300/18 = 50/3 m/sec. Let the length of the platform be x meters. Then, (x + 300)/39 = 50/3 3x + 900 = 1950 => x = 350 m. Answer:350
<result>B</result> | B | calc |
ape210k__00790091 | Apples are 12 yuan per 2 kilograms, and bananas are 15 yuan per 3 kilograms. How much does Aunt Li need to buy 8 kilograms of apples and 9 kilograms of bananas? | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">6 * 8</gadget>
<output>48</output>
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">5 * 9</gadget>
<output>45</output>
<gadget id="calculator">48 + 45</gadget>
<output>93</output>
<result>93</result... | 93 | calc |
ape210k__00969367 | If two squares with side lengths of 3 cm are put together, what is the perimeter of the resulting figure in cm? | <gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">6 + 3</gadget>
<output>9</output>
<gadget id="calculator">9 * 2</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00319665 | The school organizes students of 3 grades to participate in the singing and dancing performances. Each grade has 8 singing and dancing programs. In each program, 3 people dance and 2 people sing. How many students participate in the singing and dancing performances? | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">5 * 8 * 3</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
math_qa__ud2bEACXPwXU2n03 | A textile manufacturing firm employees 50 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 50 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over ... | <gadget id="calculator">5 * 1_000</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 * 100</gadget>
<output>500_000</output>
<gadget id="calculator">75_000 * 2</gadget>
<output>150_000</output>
<gadget id="calculator">150_000 + 75_000</gadget>
<output>225_000</output>
<gadget id="calculator">500_000 - 22... | B | calc |
ape210k__01085993 | A total of 32 tons of apples were purchased, and 12 tons were transported away first, and the remaining trucks with a load capacity of 4 tons were transported at one time. How many such trucks are needed? | <gadget id="calculator">32 - 12</gadget>
<output>20</output>
<gadget id="calculator">20 / 4</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00719665 | Xiaohua's mother is 30 years old this year, exactly five times Xiaohua's age. Xiaohua's height is 1.3 meters, 38 centimeters shorter than her mother. Ask two questions first and then answer. | <gadget id="calculator">1.3 + 0.38</gadget>
<output>1.68</output>
<result>1.68</result> | 1.68 | calc |
ape210k__01133299 | A basketball is 68 yuan, Mr. Zhang bought 3, if he brought 250 yuan, how much money is left? | <gadget id="calculator">68 * 3</gadget>
<output>204</output>
<gadget id="calculator">250 - 204</gadget>
<output>46</output>
<result>46</result> | 46 | calc |
ape210k__00618888 | In the division formula 642/6, if the quotient is to be increased by 5, how much should the dividend be increased. | <gadget id="calculator">5 * 6</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00714317 | Mom bought 4.5 kilograms of apples and some grapes, and the total cost was 45.8 yuan. It is known that each kilogram of apples is 6.5 yuan. How much did you spend on grapes? | <gadget id="calculator">6.5 * 4.5</gadget>
<output>29.25</output>
<gadget id="calculator">45.8 - 29.25</gadget>
<output>16.55</output>
<result>16.55</result> | 16.55 | calc |
ape210k__01031433 | (1/10) of a piece of rectangular paper is painted red, (3/10) is painted blue, and the rest are not colored. What fraction of the paper is uncolored? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (1/10) - (3/10)</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
aqua_rat__W3GMxkD9Y7IQTM6N | The diameter of a ball is 20 inches. If the surface area of the diameter is the same as the surface area of a cube, what does 1 side of the cube measure? Round to the nearest whole number. Select the correct option.
A) 10
B) 5
C) 8
D) 4
E) 3 | The surface area of a sphere is determined by squaring the radius, multiply by Pi and multiply by 4. The radius is half of the diameter of a circle. So the radius of the ball is 10 inches. Multiply 10 by Pi, then multiply the answer by 4 will calculate to 125.663 inches as the surface area of the ball. Since a cube has... | B | calc |
ape210k__00544406 | A car parking lot is 250 meters long and 80 meters wide. How many hectares does it cover? | <gadget id="calculator">250 * 80</gadget>
<output>20_000</output>
<gadget id="calculator">20_000 / 10_000</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00586288 | A cuboid, the sum of its sides is 480 cm, and the ratio of length, width and height is 4:3:1, what is the volume of this cuboid? | <gadget id="calculator">480 / 4</gadget>
<output>120</output>
<gadget id="calculator">4 + 3 + 1</gadget>
<output>8</output>
<gadget id="calculator">4 / 8</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">120 * (1/2)</gadget>
<output>60</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = a... | 40_500 | calc |
ape210k__00485683 | A copy of "Composition World" is 3 cm thick, and an exercise book is 5 mm thick. How many times thicker is this "Composition World" than this exercise book? | <gadget id="calculator">30 / 5</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00155316 | Teacher Wang and 10 students are playing the game of eagle and chick. They take turns to each be a mother chicken. How many different choices are there? | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00053451 | The number of pine trees is less than that of willow trees (1/4), and the number of pine trees is the same as that of willow trees. | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) / 1</gadget>
<output>3/4 = around 0.75</output>
<result>3/4 = around 0.75</result> | 3/4 | calc |
aqua_rat__xH36q7Ue0X07caeF | At what rate percent on simple interest will Rs.750 amount to Rs.900 in 10 years? Choose the correct choice from the following choices
A) 6% B) 2% C) 4% D) 5% E) 3% | 150 = (750*10*R)/100 R = 2% Answer: 2%
<result>B</result> | B | calc |
ape210k__00518308 | 96/8=12, if both the dividend and the divisor are reduced by 4 times, what is the current quotient. | <gadget id="calculator">96 / 8</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__FxDl340QokYrraGF | If the average (arithmetic mean) of the four numbers 23, 15, 32, and (N + 1) is 50, then N = Pick:
A) 19 B) 20 C) 121 D) 122 E) 129 | 23+15+32+N+1= 50 x 4 = 200 =>N +71 = 200 =>N=129 Answer 129
<result>E</result> | E | calc |
ape210k__00206202 | There are several chickens and rabbits in a cage. Counting from the top, there are 8 heads, and counting from the bottom, there are 26 feet. How many chickens are there? | <gadget id="calculator">2 * 8</gadget>
<output>16</output>
<gadget id="calculator">26 - 16</gadget>
<output>10</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">8 - 5</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
math_qa__RRQk6FvON3iQXJxd | If n is an integer and 101n^2 is less than or equal to 8100, what is the greatest possible value of n? Choose the correct choice from the following options:
A) 7
B) 8
C) 9
D) 10
E) 11 | <gadget id="calculator">8_100 / 101</gadget>
<output>8_100/101 = around 80.19802</output>
<gadget id="calculator">(8_100/101) ** (1/2)</gadget>
<output>90*sqrt(101)/101 = around 8.955335</output>
<gadget id="calculator">floor(90*sqrt(101)/101)</gadget>
<output>8</output>
<result>B</result> | B | calc |
ape210k__00099891 | Xiaogang’s family bought a cuboid glass fish tank, 45 cm long and 30 cm wide. After Xiaogang added 20 cm of water to the water tank, he put in goldfish. When all the goldfish swam under the water, the measured water depth was 23 cm. What is the volume of the fish put in? | <gadget id="calculator">23 - 20</gadget>
<output>3</output>
<gadget id="calculator">45 * 30 * 3</gadget>
<output>4_050</output>
<result>4_050</result> | 4_050 | calc |
math_qa__5gtMnZq1Fvn1zl6D | A ring x of diameter 16 inches is placed inside another ring y of diameter of 18 inches. How much fraction of the ring x surface is not covered by the ring y?
Choose one
A) 13 / 15 B) 12 / 4 C) 16 / 17 D) 22 / 16 E) 17 / 81 | <gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="calculator">pi * (9 ** 2)</gadget>
<output>81*pi = around 254.469005</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">pi * (8 ** 2)</gadget>
<output>64*pi = around 201.06193</output>
<gadget id="calcula... | E | calc |
math_qa__x9oQoRtt08vwr96X | Carrie likes to buy t-shirts at the local clothing store. They cost $8.55 each. One day, she bought 9 t-shirts. How much money did she spend? Select
A) $ 150
B) $ 248.75
C) $ 200
D) $ 171.6
E) $ 73.1025 | <gadget id="calculator">9 * 8.55</gadget>
<output>76.95</output>
<gadget id="calculator">floor(76.95)</gadget>
<output>76</output>
<result>E</result> | E | calc |
aqua_rat__pRqQwmY6RZbEz2dn | 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 155kg then find the average weight of all the 7 rounds? Choose the correct choice from the following answers
A) 98.5 kgs B) 88.5 kgs C) 86.... | Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 155/7 = 88.5 kgs Answer:88.5 kgs
<result>B</result> | B | calc |
ape210k__00419728 | The area of a terraced field is 90 square meters, the upper base is 7 meters, and the lower base is 11 meters. How many meters is it high? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">7 * (1/2)</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">11 * (1/2)</gadget>
<output>11/2 = around 5.5</output>
<gadget id="calculator">(7/2) + (11/2)</gadget>
<output>9</output>
<gadget id="calculat... | 10 | calc |
ape210k__00081272 | A factory works from 6:00 to 11:00 in the morning and from 2:00 to 6:00 in the afternoon. What are the working hours for the whole day? | <gadget id="calculator">5 + 4</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00285180 | A book with 150 pages, read 10% in the first week and 36% in the second week, how many pages were read in total in two weeks. | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">36 / 100</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">(1/10) + (9/25)</gadget>
<output>23/50 = around 0.46</output>
<gadget id="calculator">150 * (23/50)</gadget>
<output>69</output>
<result>... | 69 | calc |
ape210k__00153424 | A number plus the sum of 8, then multiplied by the product of 8, then subtracting the difference of 8, and then divided by the quotient of 8, is equal to 80, then, what is this number | <gadget id="calculator">80 * 8</gadget>
<output>640</output>
<gadget id="calculator">640 + 8</gadget>
<output>648</output>
<gadget id="calculator">648 / 8</gadget>
<output>81</output>
<gadget id="calculator">81 - 8</gadget>
<output>73</output>
<result>73</result> | 73 | calc |
gsm8k__cPCyxxMhnLs1Z0Jr | Sandra has a box of apples that weighs 120 pounds. She's going to use half the weight in apples to make applesauce. The rest will be used to make apple pies. She needs 4 pounds of apples per pie. How many pies will she be able to make? | The box weighs 120 pounds and she's going to use half of it to make applesauce so she'll use 120/2 =
<gadget id="calculator">120/2</gadget>
<output>60</output>
60 pounds for applesauce.
The box weighs 120 pounds and she'll use 60 pounds for applesauce so that leaves 120-60 =
<gadget id="calculator">120-60</gadget>
<o... | 15 | calc |
ape210k__00214431 | 2005*((1/1995)+(1/50))-1995*((1/2005)+(1/50))-50*((1/1995)+(1/2005))+99= How many. | <gadget id="calculator">1 - 1</gadget>
<output>0</output>
<gadget id="calculator">1 + 0 + 99</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00249846 | If the perimeter of a square is 1.2 meters, what is its area in square meters? | <gadget id="calculator">1.2 / 4</gadget>
<output>0.3</output>
<gadget id="calculator">0.3 * 0.3</gadget>
<output>0.09</output>
<result>0.09</result> | 0.09 | calc |
ape210k__00942787 | The fourth, fifth, and sixth grades of Yongsheng Primary School donated a total of 2,043 yuan, of which the donation for the fourth grade was for the sixth grade (1/2), and the donation for the sixth grade was for the fifth grade (1/3). How much is the sixth grade donation? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2) + 3</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">2_043 / (9/2)</gadget>
<output>454</output>
<result>454</result> | 454 | calc |
gsm8k__ZvSrbfsMunleW64B | Meadow has a business that sells baby diapers to her local townspeople. She orders 30 boxes of diapers containing 40 packs weekly, with each pack having 160 diapers. She sells each diaper for $5. How much money is Meadow making from selling all her diapers? | When she orders 30 boxes, the total number of packs in the boxes is 30*40 =
<gadget id="calculator">30*40</gadget>
<output>1_200</output>
1200 packs.
If a pack has 160 diapers, 1200 packs contain 1200*160 =
<gadget id="calculator">1200*160</gadget>
<output>192_000</output>
192000 diapers.
After selling all the diaper... | 960_000 | calc |
ape210k__00381929 | 48/12=4, if both the dividend and the divisor are reduced by 2 times, what is the current quotient. | <gadget id="calculator">48 / 12</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00001443 | Teacher Li received a manuscript fee of 3,000 yuan, and after deducting 2,000 yuan according to the regulations, he had to pay personal income tax at 5%. How much yuan did Teacher Li actually get? | <gadget id="calculator">3_000 - 2_000</gadget>
<output>1_000</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1_000 * (1/20)</gadget>
<output>50</output>
<gadget id="calculator">3_000 - 50</gadget>
<output>2_950</output>
<result>2_950</result> | 2_950 | calc |
ape210k__00460718 | One pan can only put 2 cakes at a time, one cake needs to be baked on both sides, it takes 3 minutes to cook one side, and how many minutes is the minimum time to bake 5 cakes. | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">6 + 9</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__d8jX1PZh0XD8iK42 | An employee’s annual salary was increased 50%. If her old annual salary equals $80,000 , what was the new salary? Pick one: A) $128,000 B) $120,000 C) $110,000 D) $139,000 E) $125,000 | Old annual salary = $80,000 Salary increase = 50%. Original salary = $80,000 *50/100 = $40,000 new salary = $80,000+$40,000 =$120,000 Hence $120,000.
<result>B</result> | B | calc |
ape210k__00463372 | A conical sand pile has a circumference of 18.84 meters at the bottom and a height of 1.2 meters. Use this pile of sand to pave a 3 cm thick sand surface on a road with a width of 8 meters. How many meters can you pave? | <gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">18.84 / 6.28</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3 / 100</gadget>
<output>3... | 47.1 | calc |
ape210k__00447530 | A bag of brown sugar weighs 500 grams, how many bags of this kind of red sugar is exactly 1 kilogram. | <gadget id="calculator">1_000 / 500</gadget>
<output>2</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00229858 | The apex angle of an isosceles triangle is 70 degrees, how many degrees are each base angle? | <gadget id="calculator">180 - 70</gadget>
<output>110</output>
<gadget id="calculator">110 / 2</gadget>
<output>55</output>
<result>55</result> | 55 | calc |
ape210k__00608643 | Grandpa walked around the vegetable garden. Starting from the entrance of the vegetable garden, he turned around and returned to the entrance of the vegetable garden. He walked a total of 785 steps. Each step of the grandfather was about 1 meter. What is the circumference of the vegetable garden in meters? | <gadget id="calculator">785 * 1</gadget>
<output>785</output>
<result>785</result> | 785 | calc |
aqua_rat__OTTlrqFsVUUKiEVC | In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies? Choose the correct choice from the following answers: A) 100 B) 200 C) 300 D) 400 E) 500 | (3 men out 6) and (2 ladies out of 5) are to be chosen. Required number of ways = (6c3x5c2) = [6x5x4/3x2x1] x [5x4/2x1] = 200. Answer 200.
<result>B</result> | B | calc |
ape210k__00477409 | A kind of triangular drape used in hospitals is an isosceles right triangle with a side length of 8 decimeters. Now there is a rectangular piece of white cloth with a length of 160 decimeters and a width of 16 decimeters. How many pieces of this triangle scarf can be cut at most? | <gadget id="calculator">160 / 8</gadget>
<output>20</output>
<gadget id="calculator">16 / 8</gadget>
<output>2</output>
<gadget id="calculator">20 * 2 * 2</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
gsm8k__c5RH2OpjgIHAozgS | The owner of a Turkish restaurant wanted to prepare traditional dishes for an upcoming celebration. She ordered ground beef, in four-pound packages, from three different butchers. The following morning, the first butcher delivered 10 packages. A couple of hours later, 7 packages arrived from the second butcher. Finally... | Since each package weighed 4 pounds, the first butcher delivered 10 * 4 =
<gadget id="calculator">10*4</gadget>
<output>40</output>
40 pounds.
The second butcher's delivery was 7 * 4 =
<gadget id="calculator">7*4</gadget>
<output>28</output>
28 pounds.
The first two butchers therefore delivered 40 + 28 =
<gadget id=... | 8 | calc |
ape210k__00410604 | Calculate □20*31, if the product is five digits, what is the minimum amount to fill in □. | <result>4</result> | 4 | calc |
aqua_rat__It9jBHN1YnhWJfbT | Two mixtures A and B contain milk and water in the ratios 2:5 and 5:4 respectively. How many gallons of A must be mixed with 90 gallons of B so that the resultant mixture contains 40% milk? Choose the correct choice from the following answers: A) 144 B) 122.5 C) 105.1 D) 72 E) 134 | Mixture A: 2:5 ratio of Milk:Water Mixture B: 5:4 ratio of Milk:water 90 gallons mixture B with a ratio of 5:4 = 50 gallons of milk and 40 gallons of water 90/(5+4)=
<gadget id="calculator">90/(5+4)</gadget>
<output>10</output>
10. 10*5= 50 and 10*4=
<gadget id="calculator"> 10*4</gadget>
<output>40</output>
4... | B | calc |
ape210k__00231056 | It takes 8 hours for Master Wang to process the same batch of parts, and 6.4 hours for Master Li. So how much more efficient is Master Li's work than Master Wang? | <gadget id="calculator">1 / 6.4</gadget>
<output>0.15625</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">0.15625 - (1/8)</gadget>
<output>0.03125</output>
<gadget id="calculator">0.03125 / (1/8)</gadget>
<output>0.25</output>
<result>0.25</result> | 0.25 | calc |
aqua_rat__j3FiqIXkxmae8Fss | Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 3 hours. How long would it take for both hoses to fill up two-thirds of the pool? Choices:
A) 5/12 hours B) 5/8 hours C) 4/3 hours D) 12/7 hours E) 12/5 hours | Hose 1 would fill the pool alone in 6 hours i.e. 1 Hour work of Hose 1 = 1/6 Hose 2 would fill the pool alone in 3 hours i.e. 1 Hour work of Hose 2 = 1/3 i.e. 1 Hour work of Hose1 and Hose2 together = (1/6)+(1/3) = (1/2) i.e. (1/2) work can be finished by Hose1 and Hose2 together in 1 hour i.e. (2/3) work c... | C | calc |
ape210k__01156681 | At noon, Xiaohua took out his own fruit and shared it with his classmates. "Wow, what a beautiful dragon fruit! How much is it per kilogram?" Xiao Ming asked. Xiaohua said, "The apples and dragon fruits I bought are both 2 kilograms. The apples are 6 yuan per kilogram, and the total payment is 22 yuan. You can calculat... | <gadget id="calculator">22 / 2</gadget>
<output>11</output>
<gadget id="calculator">11 - 6</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
math_qa__5xeG34v3e3x01jTO | Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 6x boxes? Choose one: A) 3 minutes B) 4 min... | <gadget id="calculator">6 * 10</gadget>
<output>60</output>
<gadget id="calculator">10 / 10</gadget>
<output>1</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">20 / 5</gadget>
<output>4</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calcul... | E | calc |
ape210k__00984139 | Eddie walked to school, walking 60 meters per minute. After 12 minutes away from home, his father found that Eddie’s pencil case was left at home. With the pencil case, his father immediately rode a bicycle to chase Eddie at a speed of 180 meters per minute. Ask Dad to catch up with Eddie a few minutes after he set off... | <gadget id="calculator">180 - 60</gadget>
<output>120</output>
<gadget id="calculator">12 / 120</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">60 * (1/10)</gadget>
<output>6</output>
<gadget id="calculator">180 * 6</gadget>
<output>1_080</output>
<result>1_080</result> | 1_080 | calc |
ape210k__00545574 | Li Qiang's father received a monthly salary of 4,200 yuan from his unit in November this year. According to the new personal income tax law, the part of the monthly personal income exceeding 3,500 yuan should be levied personal income tax at a rate of 5%. How much is Li Qiang's father's after-tax income this month? | <gadget id="calculator">4_200 - 3_500</gadget>
<output>700</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">700 * (1/20)</gadget>
<output>35</output>
<gadget id="calculator">4_200 - 35</gadget>
<output>4_165</output>
<result>4_165</result> | 4_165 | calc |
ape210k__00122420 | Take a bamboo pole of uniform thickness (about 1 meter long), make a small hole at the midpoint and tie it with a rope. The plastic bag on the left is on the scale 3, put 4 chess pieces, and the plastic bag on the right is on the scale 4, how many chess pieces can be placed to keep the balance. | <gadget id="calculator">4 / 4</gadget>
<output>1</output>
<gadget id="calculator">3 * 1</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__14MmY5vMYU2th0IC | The length of a room is 7 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. Select the correct option.
A) 25650 B) 25750 C) 26550 D) 26750 E) 29925 | Area = 7 × 4.75 sq. metre. Cost for 1 sq. metre. = Rs. 900 Hence total cost = 7 × 4.75 × 900 = 7 × 4275 = Rs. 29925 Answer is 29925
<result>E</result> | E | calc |
aqua_rat__T8WS9HY3vamhaagc | The volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 5. What is the length of the wire?
Choose the correct choice from the following answers:
A) A)5:4 B) B)2:7 C) C)2:2 D) D)2:1 E) E)2:9 | The volume of the cone = (1/3)πr2h Only radius (r) and height (h) are varying. Hence, (1/3)π may be ignored. V1/V2 = r12h1/r22h2 => 1/20 = (1)2h1/(5)2h2 => h1/h2 = 5/4 i.e. h1 : h2 = 5 : 4 5:4nswer: 5:4
<result>A</result> | A | calc |
ape210k__00484817 | 10 vehicles transport 8,400 tons of goods in 8 days, how many tons are transported per day on average? | <gadget id="calculator">8_400 / 10 / 8</gadget>
<output>105</output>
<result>105</result> | 105 | calc |
ape210k__00251211 | Cut a cube with an edge length of 1 meter into several small cubes with an edge length of 1 cm. These small cubes are arranged in a row, how many kilometers long | <gadget id="calculator">1 / 100_000</gadget>
<output>1/100_000 = around 0.00001</output>
<gadget id="calculator">1 * 100 * 1 * 100 * 1 * 100 * (1/100_000)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00372099 | Cars A and B start from AB at the same time, and after 3 hours of traveling towards each other, car A meets car B at (3/7) of the whole journey. It is known that car A travels 30 kilometers per hour, and car B travels the entire distance It takes 5 (1/4) hours, how many kilometers is the distance between AB and AB? | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">3 / (3/7)</gadget>
<output>7</output>
<gadget id="calculator">30 * 7</gadget>
<output>210</output>
<result>210</result> | 210 | calc |
ape210k__00032772 | One morning, the number of absentees in class 61 was 1/6 of the number of attendees. In the afternoon, another student asked for leave due to an emergency. At this time, the number of attendees was exactly 5 times the number of absentees. How many people were absent in this class in the morning? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">5 * (1/6)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(1/6) + (5/6)</gadget>
<output>1</output>
<gadget id="calculator">1 - (5/6)</gadget>
<output>1/6 = around 0.166667</output>
<gadget ... | 6 | calc |
ape210k__00407110 | The school bought 4 basketballs and 3 volleyballs. The volleyballs cost 64.30 yuan each, and the basketballs cost 49.20 yuan each. How much did you pay in total? | <gadget id="calculator">64.3 * 3</gadget>
<output>192.9</output>
<gadget id="calculator">49.2 * 4</gadget>
<output>196.8</output>
<gadget id="calculator">192.9 + 196.8</gadget>
<output>389.7</output>
<result>389.7</result> | 389.7 | calc |
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