id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00361632 | Two vehicles, A and B, start from AB at the same time and go towards each other along the same route. After meeting, they continue to drive in the original direction. When the distance between the two vehicles is 118 kilometers, the distance between A and B is 40% of the total distance, and B has already traveled. Pass... | <gadget id="calculator">118 - 30</gadget>
<output>88</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(1/2) - (2/5)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator"... | 880 | calc |
ape210k__01105179 | When a number is divided by 9, the quotient is 5 and the remainder is 4. What is the number? | <gadget id="calculator">9 * 5</gadget>
<output>45</output>
<gadget id="calculator">45 + 4</gadget>
<output>49</output>
<result>49</result> | 49 | calc |
aqua_rat__LL6kBcwk5c2GgSzT | The sum of the ages of 4 children born at the intervals of 5 years each is 58 years. what is the age of the youngest child ? Pick one.
A) 7
B) 8
C) 10
D) None of these
E) Cannot be determined | Explanation: Let x = the youngest child. Each of the other four children will then be x+5, x+10, x+15 We know that the sum of their ages is 58 . so, x+(x+5)+(x+10)+(x+15) = 58 x= 7 The youngest child is 4 years old. 7nswer: 7
<result>A</result> | A | calc |
ape210k__00337503 | Zhang Qiang reads a book. On the first day, he reads 48 pages. On the second day, he reads (1/3) of the whole book, and half of it is left. How many pages does this book have? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/2) - (1/3)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">48 / (1/6)</gadget>
<output>288</output>
<result>288</r... | 288 | calc |
ape210k__00401437 | The length of a cuboid is 5cm, the width is 45cm, and the height is 24cm. After cutting along its length and width, how many square centimeters will the surface increase? | <gadget id="calculator">5 * 24</gadget>
<output>120</output>
<gadget id="calculator">120 * 2</gadget>
<output>240</output>
<gadget id="calculator">45 * 24</gadget>
<output>1_080</output>
<gadget id="calculator">1_080 * 2</gadget>
<output>2_160</output>
<gadget id="calculator">240 + 2_160</gadget>
<output>2_400</out... | 2_400 | calc |
ape210k__00307742 | Use an iron wire to form a rectangle with a length of 15 cm and a width of 13 cm, and then straighten the wire to form a square. What is the side length of this square in cm? | <gadget id="calculator">15 + 13</gadget>
<output>28</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">28 * (1/2)</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
aqua_rat__43tOSJ4CwXDfUwj6 | The first three terms of a proportion are 4, 9 and 12. The fourth term is?
Choose the correct choice from the following:
A) 24 B) 25 C) 26 D) 27 E) 28 | (9*12)/4=
<gadget id="calculator">(9*12)/4</gadget>
<output>27</output>
27 ANSWER:27
<result>D</result> | D | calc |
ape210k__00243079 | My sister is 15 years old and I am 12 years old. Five years later, my sister is much older than me. | <gadget id="calculator">15 - 12</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00577090 | There are two warehouses. The grain in warehouse A accounts for 62.5% of that in warehouse B. If 42 tons of grain are shipped out from warehouse A, and 45% of the grain in warehouse B is shipped out, the grain in the two warehouses is equal. How many tons of grain is originally stored in warehouse B? ． | <gadget id="calculator">62.5 / 100</gadget>
<output>0.625</output>
<gadget id="calculator">45 / 100</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">1 - (9/20)</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">0.625 - (11/20)</gadget>
<output>0.075</output>
<gadget id="calcul... | 560 | calc |
aqua_rat__ftqNfZW1pAQMowKL | Jim’s Taxi Service charges an initial fee of $2.05 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles? Choose the correct answer.
A) $5.20 B) $4.45 C) $4.80 D) $5.05 E) $5.40 | Let the fixed charge of Jim’s Taxi Service = 2.05 $ and charge per 2/5 mile(.4 mile) = .35$ Total charge for a trip of 3.6 miles = 2.05 + (3.6/.4) * .35 = 2.05 + 9*.35=
<gadget id="calculator">2.05 + 9*.35</gadget>
<output>5.2</output>
5.2 $ $5.20nswer $5.20
<result>A</result> | A | calc |
ape210k__00134998 | The base of the triangle is 1.8 meters long and the height is 7 decimeters, what is its area in square decimeters | <gadget id="calculator">7 / 10 / 2</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">1.8 * (7/20) * 100</gadget>
<output>63</output>
<result>63</result> | 63 | calc |
ape210k__00776319 | The side length of a square vegetable field is 16 meters, and there are (3/8) cucumbers in it. How many square meters does the cucumber occupy? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">16 * 16 * (3/8)</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__00382636 | Plant trees around a square pond, 18 trees are planted on each side, and one tree is planted on each of the four vertices. How many trees are planted around this pond? | <gadget id="calculator">18 * 4</gadget>
<output>72</output>
<gadget id="calculator">72 - 4</gadget>
<output>68</output>
<result>68</result> | 68 | calc |
aqua_rat__CS6mqqfvyhr9AGCg | 7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of b... | Sol. Let the books distributed by man, a woman and a child be 5x, 4x and 2x respectively. ∴ No. of books distributed in 1st day = 7×5x+5×4x+8×2x=71x No. of books distributed in 1Ind day =7×5x+3×4x+5×2x=57x And no. of books distributed in IIIrd day =4×5x+5×4x+3×2x=46x 71x + 57x + 46x = 2000, x = 2000/174 ... | D | calc |
aqua_rat__zcp24gxYPKtlTLsJ | If x is equal to the sum of the integers from 30 to 40, inclusive, and y is the number of EVEN integers from 30 to 40, inclusive, what is the value of x+y ?
Choose the correct choice from the following.
A) 171 B) 281 C) 391 D) 591 E) 601 | sum s= n/2{2a+(n-1)d} = 11/2{2*30+ (11-1)*1} =11*35=
<gadget id="calculator">11*35</gadget>
<output>385</output>
385=X number of even number =( 40-30)/2 +1=
<gadget id="calculator">( 40-30)/2 +1</gadget>
<output>6</output>
6= Y X+Y = 385+6=
<gadget id="calculator">385+6</gadget>
<output>391</output>
391 391
<r... | C | calc |
ape210k__00079254 | Xiao Li walks 50 meters per minute from home to school, half of the distance is covered in 7 minutes, and the remaining half of the distance is completed in 5 minutes. How many meters does he walk on average per minute? | <gadget id="calculator">7 / 5</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">50 * (7/5)</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
ape210k__00187243 | In the fractions (7/4), (23/24), (39/13), (6/9), (15/20), what is the number of the simplest fractions | <result>2</result> | 2 | calc |
ape210k__00216957 | A, B, and C go to the movies. If A brings money to buy three movie tickets, the difference is 0.55 yuan. If B brings money to buy three movie tickets, the difference is 0.69 yuan. If you bring the money to buy three movie tickets, it will be 0.30 yuan more. Knowing that C brings 0.37 yuan, how much does it cost to buy ... | <gadget id="calculator">0.3 - 0.37</gadget>
<output>-0.07</output>
<gadget id="calculator">0.55 + 0.69 + (-0.07)</gadget>
<output>1.17</output>
<gadget id="calculator">3 - 3</gadget>
<output>0</output>
<gadget id="calculator">3 + 0</gadget>
<output>3</output>
<gadget id="calculator">1.17 / 3</gadget>
<output>0.39</... | 0.39 | calc |
aqua_rat__2NkpCSBM8haNwSkL | In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3 times as old as Robert. In which year was Richard 1.5 times as old as Robert? Choices: A) 1960 B) 1965 C) 1970 D) 1975 E) 2000 | In 1950: Ri = 4 Ro -------------- eq1 In 1955: Ri +5 = 3(Ro+5)---------eq2 Thus in 1950, solving eq1 and eq2 Ro= 10 , Ri =40 Now for each year we can calculate: 2000: Ri= 60, Ro = 90 Thus Ans:2000
<result>E</result> | E | calc |
ape210k__00276640 | 4**2+5**2+6**2+...+50**2+4**3+5**3+6**3+...+50**3. | <gadget id="calculator">50 + 1</gadget>
<output>51</output>
<gadget id="calculator">2 * 50</gadget>
<output>100</output>
<gadget id="calculator">100 + 1</gadget>
<output>101</output>
<gadget id="calculator">101 / 6</gadget>
<output>101/6 = around 16.833333</output>
<gadget id="calculator">50 * 51 * (101/6)</gadget>... | 1_668_500 | calc |
ape210k__01221007 | The fuel carried by an aircraft can support the aircraft to fly for up to 6 hours. When the aircraft goes with the wind, it can fly 1500 kilometers per hour; when it flies back against the wind, it can fly 1200 kilometers per hour. How many kilometers can this aircraft fly at most? Just need to fly back? (Solve with ra... | <gadget id="calculator">1_500 * 6</gadget>
<output>9_000</output>
<gadget id="calculator">1_200 + 1_500</gadget>
<output>2_700</output>
<gadget id="calculator">9_000 / 2_700</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">1_200 * (10/3)</gadget>
<output>4_000</output>
<result>4_000</result> | 4_000 | calc |
aqua_rat__SpMyLIZaQyPiykWA | Find the missing number. 1, 4, 9, 16, 25, 36, 49, (....) Choose the most appropriate option
A) 80 B) 67 C) 64 D) 85 E) 96 | The series is 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, ... Hence, next term = 8^2 = 64 Answer is 64
<result>C</result> | C | calc |
ape210k__00405584 | What is the number closest to 8 | <result>7.98</result> | 7.98 | calc |
math_qa__kGg4vNld9y5Qrt6i | If the perimeter of square region Q and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of Q
Choose the correct answer
A) 25 : 16
B) 24 : 25
C) 5 : 6
D) 4 : 5
E) 4 : 9 | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">10 / 4</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) ** 2</gadget>
<output>25/4 = around 6... | B | calc |
ape210k__00977437 | In a subtraction formula, the minuend is 35, and the subtrahend is difference (2/3), what is the difference. | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 + (2/3)</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">35 / (5/3)</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00029693 | Dongfang Elementary School carried out tree planting activities. The fifth grade planted 114 trees, twice that of the third grade. The fourth grade planted 32 more trees than the third grade. How many trees were planted in the fourth grade? | <gadget id="calculator">114 / 2</gadget>
<output>57</output>
<gadget id="calculator">57 + 32</gadget>
<output>89</output>
<result>89</result> | 89 | calc |
ape210k__00198692 | An ant climbs from 19 centimeters to 8 centimeters, how many centimeters does the ant climb? | <gadget id="calculator">19 - 8</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00772629 | Li Mei finished reading a 175-page storybook in a week, how many pages did she read on average every day? | <gadget id="calculator">175 / 7</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
aqua_rat__GwE56EsB0Oieoip4 | A train cross a 450 m bridge in 42 s and another bridge 650 m length in 50 s what is approximate speed of train in km/h? Choose the correct choice from the following choices
A) 90 Km /hr. B) 25 Km /hr. C) 30 Km /hr. D) 20 Km /hr. E) None of these | Explanation: Let the length of the train be L. Then, => (450 + L)/42 = (650+L)/50. => L= 600 m. Now, speed = (450+600)/42 or (650+600)/50=
<gadget id="calculator"> (650+600)/50</gadget>
<output>25</output>
25 m/s i.e. 25*(18/5)= 90 Km /hr. 90 Km /hr.NSWER IS 90 Km /hr.
<result>A</result> | A | calc |
ape210k__00954995 | Xiaoqiang planned to read an extracurricular book in 3 days (the same number of pages per day). The first day went according to the original plan, but the second day was due to a class reunion, and he only read 50 pages. In this way, he just read it two days ago. half of the book. How many pages does this extracurricul... | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/2) - (1/3)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">50 / (1/6)</gadget>
<output>300</output>
<result>300</r... | 300 | calc |
aqua_rat__uyue3gXLPwPud9un | The ratio of spinsters to cats is 2 to 7. If there are 55 more cats than spinsters, how many spinsters are there? Pick.
A) 20
B) 21
C) 22
D) 23
E) 24 | Let 2x be the number of spinsters. Then 7x is the number of cats. 7x-2x=55 x=11 and the number of spinsters is 2(11)=22. The answer is 22.
<result>C</result> | C | calc |
ape210k__00652769 | In the fifth grade, 200 people participated in the interest group, and 35% of them participated in the aircraft model group. How many people participated in the aircraft model group? | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">200 * (7/20)</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
aqua_rat__d6DBSqUMcHOhpOJZ | A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color? Choose the correct answer: A) 5/5 B) 5/9 C) 5/8 D) 5/1 E) 5/2 | Two balls can be picked from nine balls in ⁹C₂ ways. We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways. The required probability = (5 * 4)/9C2 = 20/36 = 5/9 Answer: 5/9
<result>B</result> | B | calc |
math_qa__I48avsJfbHGFgGk2 | Ashok secured average of 78 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Pick one
A) 66 B) 74 C) 78 D) 98 E) none of these | <gadget id="calculator">78 * 6</gadget>
<output>468</output>
<gadget id="calculator">74 * 5</gadget>
<output>370</output>
<gadget id="calculator">468 - 370</gadget>
<output>98</output>
<result>D</result> | D | calc |
math_qa__OdN5h9sYzD3eLU48 | In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 75000*10^(-3) Petri dishes. How many germs live happily in a single dish? Pick
A) 10
B) 20
C) 30
D) 40
E) 48 | <gadget id="calculator">1_000 * 100</gadget>
<output>100_000</output>
<gadget id="calculator">100_000 * 0.036</gadget>
<output>3_600</output>
<gadget id="calculator">75_000 / 1_000</gadget>
<output>75</output>
<gadget id="calculator">3_600 / 75</gadget>
<output>48</output>
<result>E</result> | E | calc |
ape210k__00347552 | Teacher Wang bought 640 pieces of candy and distributed them to 8 groups of students. There are 4 students in each group. How many pieces of candy are there on average? | <gadget id="calculator">640 / 8 / 4</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00658769 | A number is 2 less than 4 times 3.6, what is this number? | <gadget id="calculator">3.6 * 4</gadget>
<output>14.4</output>
<gadget id="calculator">14.4 - 2</gadget>
<output>12.4</output>
<result>12.4</result> | 12.4 | calc |
ape210k__00084993 | A cuboid water tank is 30 cm long, 25 cm wide, and 40 cm high when measured from the inside. There is a cube iron block with a side length of 20 cm in the water tank. The water tank is filled with water at first, and then 16400 cubic centimeters of water is released. At this time What is the height of the water level i... | <gadget id="calculator">30 * 25 * 40</gadget>
<output>30_000</output>
<gadget id="calculator">20 * 20 * 20</gadget>
<output>8_000</output>
<gadget id="calculator">30_000 - 8_000 - 16_400</gadget>
<output>5_600</output>
<gadget id="calculator">30 * 25</gadget>
<output>750</output>
<gadget id="calculator">20 * 20</ga... | 16 | calc |
ape210k__00158432 | Add 10 grams of sugar and 10 grams of water to 20% sugar water, what is the sugar content of the sugar water? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
aqua_rat__9YAHAtO1d0YTSdUV | 3 mangoes and 4 apples costs Rs.85. 5 apples and 6 peaches costs 122. 6 mangoes and 2 peaches costs Rs.144. What is the combined price of 1 apple, 1 peach, and 1 mango. Choose the correct answer.
A) 38
B) 92
C) 72
D) 37
E) 28 | Sol: Note: It is 114 not 144. 3m + 4a = 85 ..(1) 5a + 6p = 122 ..(2) 6m + 2p = 114 ..(3) (1) x 2 => 6m + 8a = 170 (3) => 6m + 2p = 114 Solving we get 8a - 2p = 56 ..(4) (2) => 5a + 6p = 122 3 x (4) = 24a - 6p = 168 Solving we get a = 10, p = 12, m = 15 So a + p + m = 37 Answer:37
<result>... | D | calc |
ape210k__00464568 | In a subtraction formula, the minuend is 5.8 larger than the difference, and the subtrahend is 4.3 less than the minuend. What is the minuend? | <gadget id="calculator">5.8 + 4.3</gadget>
<output>10.1</output>
<result>10.1</result> | 10.1 | calc |
ape210k__00222953 | Number A is ɑ, which is b less than (2/3) of Number B, what is the formula of Number B? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<result>2/3 = around 0.666667</result> | 2/3 | calc |
ape210k__00169578 | There are 6 classes in the fifth and sixth grades of Qingcheng Primary School, and there is a basketball game between every two classes. How many games will be played in total. | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__8ulSFMxmMxstSiPm | A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 1 rounds per hour and 1 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ? Select:
A) A)5 B) B)6 C) C)8 D) D)3 E) E)9 | Relative speed = 1 + 1=
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
2 rounds per hour. So, they cross each other 2 times in an hour and 1 times in half an hour. Hence, they cross each other 3 times before 9.30 a.m. ANSWER:3
<result>D</result> | D | calc |
ape210k__00218645 | A cylinder and a cone have the same base and volume. The height of the cone is 9 cm. What is the height of the cylinder in cm? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">9 * (1/3)</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00517290 | The oil yield rate of a soybean is 36%, indicating how many kilograms of oil can be produced per 200 kilograms of soybeans. | <gadget id="calculator">36 / 100</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">200 * (9/25)</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
ape210k__00415216 | What is the product of the sum of 5.6 and 4.4 multiplied by 0.2? | <gadget id="calculator">5.6 + 4.4</gadget>
<output>10</output>
<gadget id="calculator">10 * 0.2</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__K8LqsqKx65KFT0fV | P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?
Choose the correct choice from the following answers:
A) 4
B) 5
C) 6
D) 7
E) 8 | Explanation : Let P takes x days to complete the work Then Q takes x/2 days and R takes x/3 days to finish the work Amount of work P does in 1 day = 1/x Amount of work Q does in 1 day = 2/x Amount of work R does in 1 day = 3/x Amount of work P,Q and R do in 1 day = 1/x + 2/x + 3/x = 1/x (1 + 2 + 3) = 6/x ... | C | calc |
ape210k__00805193 | On a map with a scale of 1:4,000,000, the distance from Beijing to Yinchuan is 14.5cm. What is the actual distance from Beijing to Yinchuan? | <gadget id="calculator">1 / 4_000_000</gadget>
<output>1/4_000_000 = around 0</output>
<gadget id="calculator">14.5 / (1/4_000_000) / 100_000</gadget>
<output>580</output>
<result>580</result> | 580 | calc |
ape210k__00631742 | The distance between A and B is 320 kilometers. A bus and a truck drive towards each other at the same time. After 2 hours, the distance between the two cars is 80 kilometers. It is known that the passenger car travels 65 kilometers per hour, how many kilometers per hour does the truck travel? | <gadget id="calculator">320 - 80</gadget>
<output>240</output>
<gadget id="calculator">240 / 2</gadget>
<output>120</output>
<gadget id="calculator">120 - 65</gadget>
<output>55</output>
<result>55</result> | 55 | calc |
ape210k__00328324 | Xiaohong buys a pencil case, pays the salesperson 20 yuan, and gets back 13.8 yuan. How much is this pencil case? | <gadget id="calculator">20 - 13.8</gadget>
<output>6.2</output>
<result>6.2</result> | 6.2 | calc |
ape210k__00792845 | A park had 2.8 million visitors in the first half of last year, which was 1/6 more than in the second half of the year. How many million visitors did the park have last year? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 + (1/6)</gadget>
<output>7/6 = around 1.166667</output>
<gadget id="calculator">280 / (7/6)</gadget>
<output>240</output>
<gadget id="calculator">240 + 280</gadget>
<output>520</output>
<result>520</result> | 520 | calc |
aqua_rat__Ip1XsY9d1YnuNqED | There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially? Choose the correct answer: A) 2009 B) 6000 C) 2000 D) 7000 E) 1000 | Let the price of the article, four years age be Rs. 100 in the 1st year, price of the article = 100 + 30 = Rs. 130. In the 2nd year, price = 130 - 20% of 130 = 130 - 26 = Rs. 104. In the 3rd year, price = 104 + 10% of 104 = 104 + 10.4 = Rs. 114.40. But present price of the article is Rs. 2288 for 114.4 ---&... | C | calc |
aqua_rat__yLT7xZeNaFgx8vJR | How many positive integers W between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5? Choose the correct choice from the following choices
A) 3 B) 16 C) 75 D) 24 E) 26 | 1) I figured there are 101 integers (300 - 200 + 1 = 101). Since the set begins with an even and ends with an even, there are 51 evens. 2) Question says integers are not divisible by 2, leaving all of the odds (101 - 51 = 50 integers). 3) Question says integers are not divisible by 5, removing all the integers endi... | E | calc |
ape210k__00326290 | The distance between A and B is 260 kilometers. It takes 5.5 hours for a truck to transport goods from A to B. When returning, it takes 1 hour less than when going back because the truck is empty. Find the average round-trip speed of this truck. | <gadget id="calculator">5.5 - 1</gadget>
<output>4.5</output>
<gadget id="calculator">5.5 + 4.5</gadget>
<output>10</output>
<gadget id="calculator">2 / 10</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">260 * (1/5)</gadget>
<output>52</output>
<result>52</result> | 52 | calc |
math_qa__76ujWiJWWmC3bsCv | What is the percentage increase in the area of a rectangle, if each of its sides is increased by
20 % ? Choose one
A) 42 % B) 43 % C) 45 % D) 44 % E) 46 % | <gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 * 120</gadget>
<output>14_400</output>
<gadget id="calculator">100 * 100</gadget>
<output>10_000</output>
<gadget id="calculator">14_400 - 10_000</gadget>
<output>4_400</output>
<gadget id="calculator">4_400 / 100</gadget>
<o... | D | calc |
ape210k__00574385 | The Young Pioneers Brigade should make a small red flag with a right-angled triangle whose sides are 3 decimeters and 4 decimeters. A piece of red paper is 1.2 meters long and 0.6 meters wide. If you want to make 120 small red flags, how many pieces of red paper are needed at least? | <gadget id="calculator">4 / 10</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1.2 / (2/5)</gadget>
<output>3</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">0.6 / (3/10)</gadget>
<output>2</output>
<gadget id="calculator">3 * 2 * 2</gad... | 10 | calc |
math_qa__u4cOxO6MzMRgEI0y | The equation of line s is y = 4/3*x - 100. What is the smallest possible distance in the xy-plane from the point with coordinates (0, 0) to any point on line s?
Pick.
A) 48 B) 50 C) 60 D) 75 E) 100 | <gadget id="calculator">100 * 3</gadget>
<output>300</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">16 + 9</gadget>
<output>25</output>
<gadget id="calculator">25 ** (1/2)</gadget>
<output>5</output>
<gadget id... | C | calc |
ape210k__00127638 | Uncle Li completed 210 parts in one week. According to this calculation, how many parts can be made in the whole month of July? | <gadget id="calculator">210 / 7</gadget>
<output>30</output>
<gadget id="calculator">30 * 31</gadget>
<output>930</output>
<result>930</result> | 930 | calc |
ape210k__00413809 | If the side length of a square is 12 decimeters, what is its area in square decimeters? | <gadget id="calculator">12 * 12</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
aqua_rat__yALggcYsCT3QJ42X | In the sixth grade at Parkway elementary school there are 450 students. 300 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choose the most appropriate option.
A) 69. B) 115 C) 81. D) 91. E) 108. | Total students = 450 Boys = 300, Girls = 150 Total playing soccer = 250 86%of 250 = 215 are boys who play soccer. Girls who play soccer = 35. Total girls who do not play soccer = 150 - 35=
<gadget id="calculator">150 - 35</gadget>
<output>115</output>
115. Correct option: 115
<result>B</result> | B | calc |
ape210k__00984541 | Xiaoqiang reads a story book. He reads a total of 45 pages in the first 5 days, and reads an average of 12 pages a day in the next 10 days. He just finishes it. How many pages does Xiaoqiang read in average per day? | <gadget id="calculator">12 * 10</gadget>
<output>120</output>
<gadget id="calculator">45 + 120</gadget>
<output>165</output>
<gadget id="calculator">5 + 10</gadget>
<output>15</output>
<gadget id="calculator">165 / 15</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
aqua_rat__5QwPheYI1DFkWAG4 | Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of b crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of b? Choose the... | Lets do it by picking up numbers. Let Arthur carry 2 crumbs per trip, this means Amy carries 3 crumbs per trip. Also let Arthur make 2 trips and so Amy makes 4 trips. Thus total crumbs carried by Arthur (b) = 2 x 2 = 4, total crumbs carried by Amy = 3 x 4 = 12. 12 is 3 times 4, so 3b
<result>E</result> | E | calc |
ape210k__00186919 | At 3:30 on the clock face, what is the angle formed by the hour and minute hands? | <gadget id="calculator">30 * 2.5</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__01053745 | Li Hua deposited 5,000 yuan in the bank for a period of three years, with an annual interest rate of 4.80%. How much yuan will he get in total after maturity? | <gadget id="calculator">4.8 / 100</gadget>
<output>0.048</output>
<gadget id="calculator">5_000 * 0.048 * 3</gadget>
<output>720</output>
<gadget id="calculator">720 + 5_000</gadget>
<output>5_720</output>
<result>5_720</result> | 5_720 | calc |
ape210k__00126677 | The road from the foot of the mountain to the top of the mountain is 3,000 meters long. It took Xiaohua 3 hours to go up the mountain and 4 hours to go down the mountain along the original road. On average, how many kilometers per hour is Xiaohua going up the mountain faster than going down the mountain? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
aqua_rat__E02CrdXtQbPWx3Gg | The triplicate ratio of 2:3 is? Choose the correct answer
A) 1:64 B) 1:62 C) 1:34 D) 8:27 E) 5:64 | 2^3: 3^3 = 8:27 ANSWER:8:27
<result>D</result> | D | calc |
ape210k__00301794 | A book with 200 pages, Xiao Ming read 45 pages on the first day, and read 14 pages more on the second day than on the first day. How many pages did you read in two days? From which page did Xiao Ming start reading on the third day? | <gadget id="calculator">45 + 14 + 45</gadget>
<output>104</output>
<gadget id="calculator">104 + 1</gadget>
<output>105</output>
<result>105</result> | 105 | calc |
ape210k__00865089 | The construction site needs to transport a batch of cement. A large truck transports 160 packages per trip, and a small truck transports 30 packages per trip (1/2) more than the large truck. How many packages of cement are transported by two vehicles in one trip? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">160 * (1/2)</gadget>
<output>80</output>
<gadget id="calculator">80 + 30 + 160</gadget>
<output>270</output>
<result>270</result> | 270 | calc |
ape210k__00540830 | A piece of iron wire is 90 cm long. Three equal equilateral triangles are surrounded by it. What is the side length of each triangle? | <gadget id="calculator">90 / 3 / 3</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00279540 | The kindergarten distributes a basket of apples to the children. If it is distributed to the children in the big class, there are 5 apples and 6 apples per person. If it is distributed to the children in the small class, there are 3 apples and 4 apples per person. It is known that the big class has 2 children less than... | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 + 4 + 6</gadget>
<output>16</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calcul... | 34 | calc |
ape210k__00252960 | Uncle Zhang deposited 5,000 yuan in China Construction Bank on April 1, 2003, with an annual interest rate of 2.52%. By April 1 this year, how much can he get with the principal and interest? (5% interest tax will be paid when due) | <gadget id="calculator">2.52 / 100</gadget>
<output>0.0252</output>
<gadget id="calculator">2_013 - 2_003</gadget>
<output>10</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator"... | 6_197 | calc |
gsm8k__GnY1JdNc6lekfRWh | Lulu has $65 in her piggy bank. She spent $5 on ice cream. She then spent half of the remainder of the money on a t-shirt. Afterwards, she went to the bank and deposited a fifth of her remaining money. How much cash was Lulu left with? | Lulu had 65-5 =
<gadget id="calculator">65-5</gadget>
<output>60</output>
60 dollars left after eating ice cream.
Lulu had 60/2 =
<gadget id="calculator">60/2</gadget>
<output>30</output>
30 dollars left.
Lulu deposited 30/5 =
<gadget id="calculator">30/5</gadget>
<output>6</output>
6 dollars.
Lulu was left with 30-... | 24 | calc |
ape210k__00988239 | The cross section of a canal is trapezoidal, the width of the canal mouth is 2.5m, the width of the canal bottom is 1.5m, and the canal is 2 meters deep. What is the area of the cross section of this canal in square meters? | <gadget id="calculator">2.5 + 1.5</gadget>
<output>4</output>
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">4 * 1</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__01008177 | Mom bought 2.5 kilograms of cucumbers in the supermarket, and after giving 10 yuan to the salesperson, the cucumber is 3.4 yuan per kilogram. How much should I get back? | <gadget id="calculator">3.4 * 2.5</gadget>
<output>8.5</output>
<gadget id="calculator">10 - 8.5</gadget>
<output>1.5</output>
<result>1.5</result> | 1.5 | calc |
aqua_rat__2HF1JOSuwl7Uknf8 | In a group of cows and chickens, the number of legs was 20 more than twice the number of heads. The number of cows was: Options.
A) 5 B) 7 C) 10 D) 12 E) 14 | Let the number of cows be x and their legs be 4x. Let the number of chicken be y and their legs be 2x. Total number of legs = 4x + 2y. Total number of heads = x + y. The number of legs was 20 more than twice the number of heads. Therefore, 2 × (x + y) + 20 = 4x + 2y. or, 2x + 2y + 20 = 4x + 2y. or, 2x + 2... | C | calc |
ape210k__00607342 | Among the four fractions (24/25), (7/28), (3/16), (12/7), how many fractions can be reduced to finite decimals? | <result>3</result> | 3 | calc |
ape210k__00153273 | What is the result of calculating (4/7)*16-(4/7)*9 | <gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">(4/7) * 16</gadget>
<output>64/7 = around 9.142857</output>
<gadget id="calculator">(4/7) * 9</gadget>
<output>36/7 = around 5.142857</output>
<gadget id="calculator">(64/7) - (36/7)</gadget>
<output>4</output>
<re... | 4 | calc |
ape210k__00478396 | 200-199+198-197+...+4-3+2-1=how much. | <gadget id="calculator">1 * 100</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00247445 | There are currently 50 students doing physics and chemistry experiments. If 40 students do the physics experiment correctly, 31 students do the chemistry experiment correctly, and 4 students do both experiments correctly, then both experiments are done correctly. how many. | <gadget id="calculator">50 - 4</gadget>
<output>46</output>
<gadget id="calculator">31 - 46</gadget>
<output>-15</output>
<gadget id="calculator">40 + (-15)</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
ape210k__00045781 | (5/24)*23*(8/15). | <gadget id="calculator">5 / 24</gadget>
<output>5/24 = around 0.208333</output>
<gadget id="calculator">8 / 15</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">(5/24) * 23 * (8/15)</gadget>
<output>23/9 = around 2.555556</output>
<result>23/9 = around 2.555556</result> | 23/9 | calc |
ape210k__00258686 | Xiao Ming measured the height of the flagpole. He measured the shadow length of the flagpole on the flat ground as 8.5 meters. At the same time, he stood the 2-meter-long bamboo pole upright on the ground and measured the shadow length as 1.7 meters. How many meters is the flagpole high? | <gadget id="calculator">2 / 1.7</gadget>
<output>1.176471</output>
<gadget id="calculator">1.176471 * 8.5</gadget>
<output>10.000004</output>
<result>10.000004</result> | 10.000004 | calc |
aqua_rat__ITyfUiNA90YHWDwS | In a Company, there are certain number of team members and certain number of team leaders. If five team members are assigned to each team leader, then one member is left out without team leader. If six members are assigned to each team leader, then one team leader has no member at all. Find the number of team leaders i... | on the basis of question x = 5y+1 x = 6(y-1) on solving these 2 equations x 5 +1=
<gadget id="calculator">5 +1</gadget>
<output>6</output>
6(y-1) on solving these 2 equations x= 36 ANSWER:36
<result>B</result> | B | calc |
ape210k__01140475 | Find (1/1), (1/2), (2/2), (1/2), (1/3), (2/3), (3/3), (2/3), ( 1/3), ...(1/2000), (2/2000), ...(2000/2000), (1999/2000), ...(2/2000), (1/2000) the sum of all fractions. | <gadget id="calculator">1 + 2_000</gadget>
<output>2_001</output>
<gadget id="calculator">2_000 / 2</gadget>
<output>1_000</output>
<gadget id="calculator">2_001 * 1_000</gadget>
<output>2_001_000</output>
<result>2_001_000</result> | 2_001_000 | calc |
ape210k__00062373 | For a fraction, if the numerator is multiplied by 3 and the denominator is divided by 3, how many times will the fraction be enlarged | <result>9</result> | 9 | calc |
aqua_rat__HkDxyLtPt1KV8Cp1 | In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 15 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this... | Initially the number of gold coins and silver coins is 2k and 6k. After adding gold coins, the number of coins is 3k and 6k. Thus k = 15 and the total number of coins is 9k = 135. The answer is 135.
<result>B</result> | B | calc |
gsm8k__6xvEgR0rnBUFJCLs | An apple tree can fill 20 baskets. Each basket can be filled with 15 apples. How many apples can you get from 10 trees? | You can get 20 x 15 =
<gadget id="calculator">20*15</gadget>
<output>300</output>
300 apples per tree.
So a total of 300 x 10 =
<gadget id="calculator">300*10</gadget>
<output>3_000</output>
3000 apples can be gotten from 10 trees.
<result>3_000</result> | 3_000 | calc |
aqua_rat__Mf5zNSHk6Q8AoFMe | 2+2+2²+2³ ... +2^10 Pick
A) 2^9
B) 2^10
C) 2^11
D) 2^35
E) 2^37 | 2+2=2^2 2^2+2^2=(2^2)*(1+1)=2^3 2^3+2^3=(2^3)*(1+1)=2^4 so you can notice the pattern... in the end you will have 2^10+2^10, which will give you 2^11 Answer 2^11
<result>C</result> | C | calc |
ape210k__00171353 | Store 525 photos in 5 archive albums on average, how many photos are stored in each album? | <gadget id="calculator">525 / 5</gadget>
<output>105</output>
<result>105</result> | 105 | calc |
ape210k__00288883 | There are 360 peach and apricot trees in the orchard. The number of apricot trees is the number of peaches (4/5). How many apricot trees are there? | <gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">360 / 9</gadget>
<output>40</output>
<gadget id="calculator">40 * 4</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
aqua_rat__8o9dvVbsL4skuu3a | 30 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is : Pick one:
A) 33
B) 34
C) 26
D) 10
E) 19 | Explanation: Let the two parts be (30- x) and x. Then, 10 (30 - x) + 22x = 780 => 12x = 480 => x = 40. Bigger part = (30- x) = 10. Answer: 10) 10
<result>D</result> | D | calc |
aqua_rat__JmuOk2w9LjVBdcTn | Special codes are designated by either a 2-letter or a 3-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system?
Choose the correct choice from the following answers.
A) 2(26)^3 B) 26(26)^2 C) 27(2... | 26^2+26^3 = 26^2(1+26)=27*26^2 The answer is 27(26)^2.
<result>C</result> | C | calc |
aqua_rat__yVVQx7FLSJOeffN0 | A train 180 m long is running with a speed of 55 km/hr. In what time will it pass a man who is running at 7km/hr in the direction opposite to that in which the train is going? Choose the correct choice from the following
A) 5.5 B) 10.45 C) 7 D) 8 E) 9.5 | Speed of train relative to man = 55+ 7=
<gadget id="calculator">55+ 7</gadget>
<output>62</output>
62 km/hr.= 62 * 5/18 = 155/9 m/sec. Time taken to pass the men = 180 *9/155 = 10.45 sec. Answer: Option 10.45
<result>B</result> | B | calc |
ape210k__00347533 | water pool is equipped with water inlet and outlet pipes, if the water inlet pipe is only opened, the empty pool can be filled in 8 minutes, and the water outlet pipe can be opened only, and the full pool can be drained in 12 minutes. Now only open the water inlet pipe for 2 minutes before opening the water outlet pipe... | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/8) * 2</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">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadg... | 18 | calc |
aqua_rat__SFsOAxLA2i4s6t8H | A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choose the correct choice from the following choices
A) 1.5
B) 1.8
C) 1.6
D) 1.3
E) 1.1 | 72 --- 9 DS = 8 ? ---- 1 45 ---- 9 US = 5 ? ---- 1 S = ? S = (8 - 5)/2=
<gadget id="calculator">(8 - 5)/2</gadget>
<output>3/2 = around 1.5</output>
1.5 Answer:1.8
<result>B</result> | B | calc |
ape210k__00288971 | A school planted 50 trees this spring, but 2 died. What is the survival rate? | <gadget id="calculator">50 - 2</gadget>
<output>48</output>
<gadget id="calculator">48 / 50</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</resul... | 24/25 | calc |
aqua_rat__FRvEaqiAInCJTmCA | A cube of side 8 meter length is cut into small cubes of side 16 cm each. How many such small cubes can be obtained? Choose the correct choice from the following
A) 10780 B) 127600 C) 125000 D) 152000 E) 10000 | Along one edge, the number of small cubes that can be cut = 800/16=
<gadget id="calculator">800/16</gadget>
<output>50</output>
50 Along each edge 50 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut=50 * 50 * 50=
<gadget id="calculator">50 * 50 * 50</gadget>
<outpu... | C | calc |
aqua_rat__hGSrNALtv8T1j4s9 | Find large number from below question The difference of two numbers is 1345. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Choose the correct option:
A) 1235
B) 1345
C) 1678
D) 1767
E) 1611 | Let the smaller number be x. Then larger number = (x + 1345). x + 1345 = 6x + 15 5x = 1330 x = 266 Large number = 266+1345=
<gadget id="calculator">266+1345</gadget>
<output>1_611</output>
1611 1611
<result>E</result> | E | calc |
ape210k__00076560 | There are 3 rows of parking spaces in the safe parking place, and each row can park 12 motorcycles. How many motorcycles can be parked in this parking place? | <gadget id="calculator">3 * 12</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
math_qa__N1yFQ9oqS8iasb5c | . In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 70 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are exp... | <gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">60 * (7/10)</gadget>
<output>42</output>
<gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">40 * (1/5)</... | A | calc |
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