id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__oPxRIniPKINclMX1 | A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum. Choose the correct choice from the following
A) 3377 B) 6886 C) 2788 D) 2000 E) 28712 | P(11/10)4 - P(6/5)2 = 482 P = 2000 Answer:2000
<result>D</result> | D | calc |
ape210k__00409254 | A table is about 8 decimeters long, written as a fraction is ((())/(())) meters, and written as a decimal is how many meters. | <gadget id="calculator">8 / 10</gadget>
<output>4/5 = around 0.8</output>
<result>4/5 = around 0.8</result> | 4/5 | calc |
math_qa__ML0xxI0iPdJXy8dD | If the sides of a rectangle are increased by 15%, what is the percentage increase in the area? Choose the correct choice from the following answers:
A) 32.25 % B) 40 % C) 37.50 % D) 36.75 % E) 32 % | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">(3/20) + 1</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">(23/20) ** 2</gadget>
<output>529/400 = around 1.3225</output>
<gadget id="calculator">(529/400) - 1</gadget>
<output>129/400 = around... | A | calc |
ape210k__01182031 | When Xiaoying was doing (4800/75+A)*12 (A represents a number), due to carelessness, she did not pay attention to the brackets in the question, and the result was 208. What is the correct result of this question? | <gadget id="calculator">4_800 / 75</gadget>
<output>64</output>
<gadget id="calculator">208 - 64</gadget>
<output>144</output>
<gadget id="calculator">144 / 12</gadget>
<output>12</output>
<gadget id="calculator">64 + 12</gadget>
<output>76</output>
<gadget id="calculator">76 * 12</gadget>
<output>912</output>
<re... | 912 | calc |
ape210k__01047889 | A cuboid is 2 meters long, 2 decimeters wide and 2 decimeters thick, if it is sawed into 4 sections, how much will the surface area increase? | <gadget id="calculator">2 * 2 * 6</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
aqua_rat__jFL76EqKvjoIN0mn | 10% of inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants let the village. The population is then reduced to 4050. Find the original inhabitants
Options: A) 5500 B) 6000 C) 6500 D) 7000 E) 8000 | Explanation: Let the total number is x, then, (100-25)% of (100 - 10)% x = 4050 => 75% of 90% of x = 4050 => 75/100 * 90/100 * x = 4050 => x = (4050*50)/27 = 6000 Answer: Option 6000
<result>B</result> | B | calc |
ape210k__00291258 | In a ratio, the two internal terms are reciprocals of each other, one of the external terms is 0.25, and the other external term is how much. | <gadget id="calculator">1 / 0.25</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00138842 | When the two sides of a triangle are 8cm and 4cm long respectively, what is the possible length of the third side in cm? | <result>7</result> | 7 | calc |
aqua_rat__IzbfdiXxTRYcYmyw | A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if atleast one black ball is to be included in the draw? Pick:
A) 64 B) 36 C) 52 D) 86 E) 24 | We may have (1 black and 2 non black) or (2 black and 1 non black) or (3 black) Required number of ways = 3C1*6C2+3C2*6C1+3C3 = 64 64nswer is 64
<result>A</result> | A | calc |
aqua_rat__0e4ke3rVUVneNTB4 | How many odd numbers are possible between 1 to 1000000? find out the number of odd number of digits? Choose the most appropriate option:
A) 2999 B) 3500 C) 4000 D) 4599 E) 499999 | There are always one odd and one even no. And the question is odd no. Between 1 to 1000000 So we have to find no. Between 1 to 1000000 so we should not includes 1 1000000/2 -1=
<gadget id="calculator">1000000/2 -1</gadget>
<output>499_999</output>
499999 ANSW499999R:499999
<result>E</result> | E | calc |
gsm8k__n6V7cchMHHNLNkjz | Lilith is trying to break the world record for largest cap collection. She collects 3 caps per month in the first year, and 5 caps per month after the first year. Each Christmas, she also receives 40 caps from friends and family. She estimates that each year, she loses 15 of the caps she has collected. If Lilith has be... | In the first year, Lilith collects 3 caps * 12 months =
<gadget id="calculator">3*12</gadget>
<output>36</output>
36 caps.
Every year afterwards, she collects 5 caps * 12 months =
<gadget id="calculator">5*12</gadget>
<output>60</output>
60 caps.
She does this for a total of 5 - 1 =
<gadget id="calculator">5-1</gadg... | 401 | calc |
ape210k__00458718 | There are 100 bags of chemical fertilizer in a truck, 27 bags were transported in the first time, and 37 bags were transported in the second time. How much of the total was transported twice? | <gadget id="calculator">27 + 37</gadget>
<output>64</output>
<gadget id="calculator">64 / 100</gadget>
<output>16/25 = around 0.64</output>
<result>16/25 = around 0.64</result> | 16/25 | calc |
ape210k__00339053 | Zhang Qiong opened a children's clothing store. The pricing principle of clothing is: the selling price of clothing is the purchase price of clothing plus 50% of the purchase price. It is known that the selling price of a set of boys' clothes is 180 yuan. How much is the purchase price of this set of boys' clothes? | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">180 / (3/2)</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00429464 | Dig a tree pit every 5 meters along the side of the road (no need to dig on both sides of the road). The total length of the road is 1300 meters, and trees should be planted on both sides of the road. How many saplings are needed in total? | <gadget id="calculator">1_300 / 5</gadget>
<output>260</output>
<gadget id="calculator">260 - 1</gadget>
<output>259</output>
<gadget id="calculator">259 * 2</gadget>
<output>518</output>
<result>518</result> | 518 | calc |
ape210k__00153400 | 48 young pioneers select the captain, the candidates are A, B, and C. On the way of billing, A gets 13 votes, B gets 10 votes, and C gets 7 votes. According to the rules, the person with the most votes is elected. In the future balloting, how many votes must A have at least to be elected. | <result>8</result> | 8 | calc |
ape210k__01153407 | The total output value of Xinchao Toy Factory last year was 1.25 million yuan, which was 250,000 yuan more than the original plan. How much did the output value increase? | <gadget id="calculator">125 - 25</gadget>
<output>100</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00712557 | A cube of stone with a side length of 0.6 meters. What is the volume of this stone in cubic meters? | <gadget id="calculator">0.6 * 0.6 * 0.6</gadget>
<output>0.216</output>
<result>0.216</result> | 0.216 | calc |
ape210k__00682503 | One number is 340, the other number is 371 more than it, what is the other number? | <gadget id="calculator">340 + 371</gadget>
<output>711</output>
<result>711</result> | 711 | calc |
ape210k__00619946 | If the volume of a cone is 120 cubic centimeters and the height is 4 centimeters, what is the area of its base in square centimetres? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">120 * (3/4)</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__00750687 | Divide (3/5) L of orange juice into (1/5) L small bottles, how many bottles can be filled? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(3/5) / (1/5)</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__QioHyFsrLsh4Oof9 | A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water? Choose the correct choice from the following choices.
A) 37
B) 38
C) 30
D) 77
E) 27 | US = 25 DS = 35 M = (35 + 25)/2=
<gadget id="calculator">(35 + 25)/2</gadget>
<output>30</output>
30 Answer:30
<result>C</result> | C | calc |
aqua_rat__IRvEyHbuLAlaHEsi | A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Answers.
A) 13, 3 B) 12, 6 C) 15, 3 D) 14, 4 E) None of these | Explanation: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively. Given x + y = 18 --- (1) and x - y = 10 --- (2) From (1) & (2) 2x = 28 => x = 14, y = 4. Answer: Option 14, 4
<result>D</result> | D | calc |
ape210k__00845189 | The area of a rectangular parking lot is 100 square meters. After expansion, the length is tripled and the width is doubled. What is the area of the parking lot after the expansion? | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">100 * 6</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
math_qa__od75WcKFhPUmLpZD | A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is: Choose the correct choice from the following options.
A) 0 B) 1 C) 2 D) 3 E) 4 | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">18 / 6</gadget>
<output>3</output>
<result>D</result> | D | calc |
ape210k__00441867 | From A to B, it takes 12 hours for a bus and 16 hours for a truck. How much faster is the speed of the bus than the speed of the truck? | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 16</gadget>
<output>1/16 = around 0.0625</output>
<gadget id="calculator">(1/12) - (1/16)</gadget>
<output>1/48 = around 0.020833</output>
<gadget id="calculator">(1/48) / (1/16)</gadget>
<output>1/3 = around ... | 1/3 | calc |
ape210k__00149440 | When a four-digit number is divided by 5, the remainder is 3, when divided by 7, the remainder is 5, and when divided by 11, the remainder is 9. What is the smallest four-digit number? | <gadget id="calculator">7 * 5 * 11</gadget>
<output>385</output>
<gadget id="calculator">385 * 3</gadget>
<output>1_155</output>
<gadget id="calculator">1_155 + 2</gadget>
<output>1_157</output>
<result>1_157</result> | 1_157 | calc |
ape210k__00537863 | There is a circular flower bed with a diameter of 8.5 meters in the community. What is its circumference in meters? | <gadget id="calculator">3.14 * 8.5</gadget>
<output>26.69</output>
<result>26.69</result> | 26.69 | calc |
math_qa__if66kWmVuVcjb8Ul | Two heavily loaded sixteen-wheeler transport trucks are 787 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintai... | <gadget id="calculator">787 - 90</gadget>
<output>697</output>
<gadget id="calculator">90 + 80</gadget>
<output>170</output>
<gadget id="calculator">697 / 170</gadget>
<output>41/10 = around 4.1</output>
<gadget id="calculator">90 - 80</gadget>
<output>10</output>
<gadget id="calculator">(41/10) * 10</gadget>
<outp... | B | calc |
aqua_rat__Drtq0kJMlu9BHyKz | A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is Choose the correct choice from the following
A) 38 B) 40 C) 28 D) 12 E) 19 | Explanation: Let there be x pupils in the class. Total increase in marks = (x * 1/2) = x/2. x/2 = (83 - 63) => x/2 = 20 => x = 40. Answer: 40
<result>B</result> | B | calc |
ape210k__00326393 | The jackets in the clothing store are 68 yuan each, and the trousers are 57 yuan each. A total of 8 sets of these clothes were sold on the "May 1st" Golden Week. How much did they sell in total? | <gadget id="calculator">68 + 57</gadget>
<output>125</output>
<gadget id="calculator">125 * 8</gadget>
<output>1_000</output>
<result>1_000</result> | 1_000 | calc |
ape210k__00109905 | Two road repair teams work together to build a 3.9-kilometer road and complete it in 20 days. Road repair team A repairs 0.1 km per day, and how many kilometers does road repair team B repair every day? | <gadget id="calculator">20 * 0.1</gadget>
<output>2</output>
<gadget id="calculator">3.9 - 2</gadget>
<output>1.9</output>
<gadget id="calculator">1.9 / 20</gadget>
<output>0.095</output>
<result>0.095</result> | 0.095 | calc |
aqua_rat__NV3QfXXwKsIJuTXy | A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
Choose the correct choice from the following answers:
A) 3600
B) 2992
C) 2209
D) 2889
E) 7881 | X * (90/100) * (80/100) * (75/100) = 1944 X * 0.9 * 0.8 * 0.75 X = 1944/0.54=
<gadget id="calculator">1944/0.54</gadget>
<output>3_600</output>
3600 3600nswer:3600
<result>A</result> | A | calc |
ape210k__00027365 | A building has 9 floors and each floor has 26 windows, how many windows are there in total? | <gadget id="calculator">26 * 9</gadget>
<output>234</output>
<result>234</result> | 234 | calc |
ape210k__00877255 | Grandma Zhang's family raised 8 chickens and 72 ducklings, how many times as many ducklings as chickens? | <gadget id="calculator">72 / 8</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
math_qa__3cst9DLfozbmosUk | Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $7 more than 1/4 of the fine and Peter paid $7 less than 1/3 of the fine, leaving pay $12 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?
Answers: A) $ 65 B) $ 55 C) $ 50 ... | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/4) + (1/3)</gadget>
<output>7/12 = around 0.583333</output>
<gad... | D | calc |
ape210k__00043892 | October 1 this year is the anniversary of the founding of the People's Republic of China. | <gadget id="calculator">2_012 - 1_949</gadget>
<output>63</output>
<result>63</result> | 63 | calc |
ape210k__00258623 | There are two wooden strips with a length of 25 cm. They are fixed into a wooden strip with a length of 36 cm. They are nailed together in the middle. What is the length of the overlapping part? | <gadget id="calculator">25 * 2</gadget>
<output>50</output>
<gadget id="calculator">50 - 36</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__01219313 | The garment factory needs to produce 6,500 suits, and has been producing them for 15 days, with an average of 200 suits per day. The rest will produce 50 more sets per day, how many more days will it take to complete the production task? | <gadget id="calculator">200 * 15</gadget>
<output>3_000</output>
<gadget id="calculator">6_500 - 3_000</gadget>
<output>3_500</output>
<gadget id="calculator">200 + 50</gadget>
<output>250</output>
<gadget id="calculator">3_500 / 250</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
gsm8k__6Ynm0pqY50QSqUgT | In 3 years, Jayden will be half of Ernesto's age. If Ernesto is 11 years old, how many years old is Jayden now? | Ernesto = 11 + 3 =
<gadget id="calculator">11+3</gadget>
<output>14</output>
14.
Jayden = 14/2 =
<gadget id="calculator">14/2</gadget>
<output>7</output>
7 in 3 years.
Now = 7 - 3 =
<gadget id="calculator">7-3</gadget>
<output>4</output>
4.
Jayden is 4 years old.
<result>4</result> | 4 | calc |
aqua_rat__tkxM0namm7K201el | A math teacher has 27 cards, each of which is in the shape of a geometric figure. Half of the cards are rectangles, and a third of the cards are rhombuses. If 8 cards are squares, what is the maximum possible number of cards that re circles. Choose the correct answer:
A) 9 B) 10 C) 11 D) 12 E) 13 | a square is a special kind of rhombus (sides are perpendicular) a square is a special kind of rectangles (sides with same length) Among the 27 cards with have: 15 rectangles 10 rhombus 8 squares Among the 15 rectangles, there could be 8 special ones (with sides of same length) that are squares. That lets at... | B | calc |
ape210k__00262149 | His mother is 27 years older than Xiao Liang. When his mother is 2.5 times Xiao Liang's age, how old is Xiao Liang? | <gadget id="calculator">2.5 - 1</gadget>
<output>1.5</output>
<gadget id="calculator">27 / 1.5</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00102714 | A square and a rectangle have the same perimeter. The length of the rectangle is 12 cm and the width is 8 cm. What is the area of the square in square centimeters? | <gadget id="calculator">12 + 8</gadget>
<output>20</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">20 * (1/2)</gadget>
<output>10</output>
<gadget id="calculator">10 * 10</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__01029509 | The number of pages read in a book is 1/4 of the number of unread pages. If you read another 220 pages, the number of unread pages is 1/3 of the number of pages read. How many pages are there in this book? ? | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(3/4) - (1/5)</gadget>
<outpu... | 400 | calc |
ape210k__00467462 | The Chinese Young Pioneers was established on October 13, 1949. What is the anniversary until October 13th of this year? | <gadget id="calculator">2_014 - 1_949</gadget>
<output>65</output>
<result>65</result> | 65 | calc |
math_qa__GiJQY9CLJGEFAmmh | In a school of 800 students, 45% wear blue shirts, 23% wear red shirts, 15% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)? Choices:
A) 120 B) 128 C) 136 D) 144 E) 152 | <gadget id="calculator">45 / 100</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">(9/20) * 800</gadget>
<output>360</output>
<gadget id="calculator">23 / 100</gadget>
<output>23/100 = around 0.23</output>
<gadget id="calculator">(23/100) * 800</gadget>
<output>184</output>
<gadget id="calculator... | C | calc |
ape210k__00071162 | The perimeter of a rectangular lawn is 240 meters, the length is 70 meters, and the width is how many meters. | <gadget id="calculator">240 / 2</gadget>
<output>120</output>
<gadget id="calculator">120 - 70</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00039685 | There are two barrels filled with the same amount of oil, the first barrel is used (1/4), the second barrel is used 40%, and then 8 kg of oil is taken from the first barrel and poured into the second barrel. The ratio of one barrel of oil to the second barrel of oil is 14:13, how many kilograms of oil are contained in ... | <gadget id="calculator">13 * 8</gadget>
<output>104</output>
<gadget id="calculator">14 * 8</gadget>
<output>112</output>
<gadget id="calculator">104 + 112</gadget>
<output>216</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">14 * (2/5)</gadget>
<output>28... | 320 | calc |
aqua_rat__V2pTtOKDnjg6BgFL | The public library has exactly 2 floors. It has 2/3 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 1/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor? Choose the correct choice from the following options.
A) 1/4 B) 9/10 C) 5/9 ... | Let x be the no of shelves and y be the no of books per shelf on first floor. Now no of shelves on 2nd floor = (2/3)*x no of books per shelf on 2nd floor = (1/6) * y So total no books on first floor = xy and total no of books on 2nd floor = (2/3)*x*(1/6)*y = (1/9)*xy fraction of library books on first floor = (... | B | calc |
aqua_rat__B675x5f0KLsgQQy8 | What is the minimum value of z for which z^2 + z - 3/14 > 0 is not true?
Select:
A) -5/7
B) -3/7
C) -1/7
D) 1/7
E) 4/7 | I think -3/7 -3/7 is the best ans...
<result>B</result> | B | calc |
ape210k__00295992 | Gooday Home Appliances Store sold 2,800 TVs this year, an increase of 40% compared to last year. How many TVs were sold last year? (solution by equation) | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 + (2/5)</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">2_800 / (7/5)</gadget>
<output>2_000</output>
<result>2_000</result> | 2_000 | calc |
ape210k__01007207 | The school organizes a visit to the exhibition. There are 208 students and 8 teachers. How many times the number of students is the number of teachers? | <gadget id="calculator">208 / 8</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
ape210k__00069791 | Divide a number (except 0) by (1/4), how many times the number will be enlarged | <result>4</result> | 4 | calc |
ape210k__00370618 | The master and apprentice have to make 600 parts, the apprentice makes 15 parts every time, and the master makes 20 parts every time. After the master works for 15 hours, the apprentice will do the rest. How many hours will it take to complete the task? | <gadget id="calculator">20 * 15</gadget>
<output>300</output>
<gadget id="calculator">600 - 300</gadget>
<output>300</output>
<gadget id="calculator">300 / 15</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00387834 | What is the area of a parallelogram whose base is 13 cm and whose height is 5 cm? | <gadget id="calculator">13 * 5</gadget>
<output>65</output>
<result>65</result> | 65 | calc |
ape210k__00078853 | ABCD represents a four-digit number, EFG represents a three-digit number, and A, B, C, D, E, F, G represent different numbers from 1 to 9. Given that ABCD+EFG=1993, ask: What is the difference between the maximum value and the minimum value of the product ABCD*EFG? | <gadget id="calculator">1_234 * 759</gadget>
<output>936_606</output>
<gadget id="calculator">1_759 * 234</gadget>
<output>411_606</output>
<gadget id="calculator">936_606 - 411_606</gadget>
<output>525_000</output>
<result>525_000</result> | 525_000 | calc |
gsm8k__Dsfmv4X0jsKm2HRx | Ben has 20 eggs in the fridge. Yesterday, he ate 4 eggs in the morning and 3 in the afternoon. How many eggs does Ben have now? | Ben ate 4 + 3 =
<gadget id="calculator">4+3</gadget>
<output>7</output>
7 eggs yesterday.
So he will have left 20 - 7 =
<gadget id="calculator">20-7</gadget>
<output>13</output>
13 eggs.
<result>13</result> | 13 | calc |
aqua_rat__ctDB6pKjtGA1DfhD | if a@b = a * b^(1/2) then 4@9 = ?
self made
Choose the correct choice
A) 2 B) 12 C) 3 D) 8 E) 4 | 4* (9)^1/2= 4*3=
<gadget id="calculator">4*3</gadget>
<output>12</output>
12 12 is the answer
<result>B</result> | B | calc |
ape210k__00286621 | 2.5 is 0.8 more than 25% of x, find x (solution of column equation). | <gadget id="calculator">1.7 / 0.25</gadget>
<output>6.8</output>
<result>6.8</result> | 6.8 | calc |
ape210k__00118656 | The students made 40 red flowers and 4 bunches of yellow flowers, each with 2 flowers. How many times are there more red flowers than yellow flowers? | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">40 / 8</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00400665 | The perimeter of a square is equal to that of a circle. Given that the side length of the square is 9.42 meters, what is the radius of the circle in meters? | <gadget id="calculator">4 / 3.14 / 2</gadget>
<output>0.636943</output>
<gadget id="calculator">9.42 * 0.636943</gadget>
<output>6.000003</output>
<result>6.000003</result> | 6.000003 | calc |
ape210k__00236746 | Mount Wutai in Shanxi is a famous Buddhist resort both at home and abroad, and is the highest peak in North China. Its highest point is 3061 meters above sea level, which is 565 meters more than four times the lowest point. How many meters above sea level is the lowest point? (column equation solution) | <gadget id="calculator">3_061 - 565</gadget>
<output>2_496</output>
<gadget id="calculator">2_496 / 4</gadget>
<output>624</output>
<result>624</result> | 624 | calc |
ape210k__00055352 | Both Xiao Gang and Xiao Ming ride bicycles to school. Xiao Ming rode 5,400 meters in 9 minutes, and Xiao Gang rode 6,300 meters in 10 minutes. Which of the two rode faster? How many meters per minute on average? | <gadget id="calculator">6_300 / 10</gadget>
<output>630</output>
<gadget id="calculator">5_400 / 9</gadget>
<output>600</output>
<gadget id="calculator">630 - 600</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__ol7XKIYCiPPzTaiU | If p, q, and r are positive numbers such that (p/(p+q))(10) + (q/(p+q))(20)=r and if p<q which of the following could be the value of r?
Select
A) 10 B) 12 C) 15 D) 18 E) 30 | The answer is D. For any positive p and q, r is a number between 10 and 20. Since p < q, weight of 10 is inferior of weight of 20 -> r is > 15 -> 18 is the answer.
<result>D</result> | D | calc |
aqua_rat__zV9oKROcYe8Arh6m | A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in? Answers
A) 9
B) 9 3/5
C) 10
D) 11
E) None of these | (A + B + C)'s 1 day's work = 1 , 4 A's 1 day's work = 1 , 16 B's 1 day's work = 1 . 12 Therefore C's 1 day's work = 1 - ( 1 + 1 ) = ( 1 - 7 ) = 5 . 4 16 12 4 48 48 So, C alone can do the work in 48 = 9 3 days. 5 5 Answer is 9 3/5
<result>B</result> | B | calc |
aqua_rat__FFTCksGDTPQpmv8u | The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? Choose the correct answer:
A) 4 years B) 8years C) 10 years D) 12 years E) None of these | Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years. Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 5x = 20 x = 4. Age of the youngest child = x = 4 years. 4 yearsNSWER:4 years
<result>A</result> | A | calc |
aqua_rat__jhmYRFLwI03MJZk3 | How many positive integers less than 1000 are multiples of 5 but NOT of 4 or 7? Choose one:
A) 114 B) 121 C) 122 D) 129 E) 136 | There are 1000/5=
<gadget id="calculator">1000/5</gadget>
<output>200</output>
200 multiples of 5 . now we have to find the number of multiples of 5 and 4 that is 20 between 0 to 1000 and 5 and 7 that is 35 between 0 to 1000. multiples of 20=1000/20=
<gadget id="calculator">1000/20</gadget>
<output>50</output>
50 m... | C | calc |
aqua_rat__yQNLkxghGrfiM5Ww | A man has some hens and cows. If the number of heads be 42 and the number of feet equals 124, then the number of hens will be Pick one
A) 22
B) 24
C) 26
D) 20
E) 28 | Explanation : Let number of hens = h and number of cows = c number of heads = 42 => h + c = 42 ---(Equation 1) number of feet = 124 => 2h + 4c = 124 => h + 2c = 62 ---(Equation 2) (Equation 2) - (Equation 1) gives 2c - c = 62 - 42 => c = 20 Substituting the value of c in Equation 1, we g... | A | calc |
ape210k__00156560 | In the evening of a certain day, the temperature dropped from 5°C above zero at noon to 1°C below zero, by how much °C did the temperature drop. | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00204004 | Connect the midpoints of the four sides of the large square to get the first square, and then connect the midpoints of the four sides of the first square to get the second square. Continue to connect in this way to get the third, fourth, and fifth squares. It is known that the area of the fifth square is 6 square centi... | <gadget id="calculator">6 * 2 * 2 * 2 * 2 * 2</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
ape210k__01206727 | (5/6) minus its (1/5), what is the sum of the resulting difference plus (3/5)? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(5/6) * (1/5)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(5/6) - (1/6)</gadget>
<output>2/3 = around 0.666667</ou... | 19/15 | calc |
ape210k__00939517 | An airplane flies an average of 420 kilometers per hour. After 1.5 hours, it flies from place A to place B. When it returns to headwind, it flies less (1/7) per hour on average than when it went there. How many hours? | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 - (1/7)</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">1 / (6/7)</gadget>
<output>7/6 = around 1.166667</output>
<gadget id="calculator">1.5 * (7/6)</gadget>
<output>1.75</output>
<gadget... | 3.25 | calc |
ape210k__00079334 | A road construction team wanted to repair a section of road with a length of 4960 meters, and 2400 meters had been repaired in 15 days. At this speed, how many more days will it take to complete the repair? | <gadget id="calculator">4_960 - 2_400</gadget>
<output>2_560</output>
<gadget id="calculator">2_400 / 15</gadget>
<output>160</output>
<gadget id="calculator">2_560 / 160</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00347675 | Wang Hui typed 28 characters per minute on average, Chen Hua typed three times faster than Wang Hui, how many more characters per minute did Chen Hua type on average? | <gadget id="calculator">28 * 3</gadget>
<output>84</output>
<gadget id="calculator">84 - 28</gadget>
<output>56</output>
<result>56</result> | 56 | calc |
ape210k__00536913 | Solve the equation: x-0.25x=1.5. | <gadget id="calculator">1 - 0.25</gadget>
<output>0.75</output>
<gadget id="calculator">1.5 / 0.75</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00484078 | One person processes a part alone, A needs 6 minutes, B needs 5 minutes, and C needs 4 minutes. Now the three people process a total of 370 parts, and start and finish the task assigned to them at the same time, how many parts does A process? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/6) + (1/5) + (1/4)</gadget>
<output>37/60 = around 0.616667</outp... | 100 | calc |
ape210k__00605935 | Calculation: 0.38*(7+(3/5))+38%*2+((0.38)/(2.5)). | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">7 + (3/5)</gadget>
<output>38/5 = around 7.6</output>
<gadget id="calculator">0.38 * (38/5)</gadget>
<output>2.888</output>
<gadget id="calculator">38 / 100</gadget>
<output>19/50 = around 0.38</output>
<gadget id="calc... | 3.8 | calc |
ape210k__00092553 | On a map of China with a scale of 1:15000000, the distance between Beijing and Nanjing is measured to be 6 centimeters, so how many kilometers is the actual distance between Beijing and Nanjing? | <gadget id="calculator">1 / 15_000_000</gadget>
<output>1/15_000_000 = around 0</output>
<gadget id="calculator">6 / (1/15_000_000) / 100_000</gadget>
<output>900</output>
<result>900</result> | 900 | calc |
ape210k__00459029 | A jacket costs 125 yuan, and a pair of trousers costs 65 yuan. Mr. Wang donated 40 sets of such clothes to the students of Hope Primary School. How much is the total cost? | <gadget id="calculator">125 + 65</gadget>
<output>190</output>
<gadget id="calculator">190 * 40</gadget>
<output>7_600</output>
<result>7_600</result> | 7_600 | calc |
ape210k__00148484 | A's number is 50, which is 10% less than B's number, find B's number. What is the correct column type; | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">50 / (9/10)</gadget>
<output>500/9 = around 55.555556</output>
<result>500/9 = around 55.555556</result> | 500/9 | calc |
ape210k__00205935 | The store’s National Day promotion, the price of soda is changed from 6 yuan per 3 bottles to 6 yuan per 4 bottles, and yogurt is bought 1 bottle and free 1 bottle, Dongdonghua 42 yuan to buy several bottles of soda and yogurt at a preferential price, including soda The number of bottles is 4 less than three times the ... | <gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">42 - 30</gadget>
<output>12</output>
<gadget id="calculator">20 + 4</gadget>
<output>24</output>
<gadget id="calculator">24 / 3</gadget>
<output>8</output>
<gadget id="calcu... | 3/2 | calc |
ape210k__00431015 | A 1 kg object on the earth will weigh only (1/6) that of the earth on the moon. Xiao Ming’s weight on the earth is 36 kg. How much does Xiao Ming’s weight decrease on the moon? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">36 * (1/6)</gadget>
<output>6</output>
<gadget id="calculator">36 - 6</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__kdRdrpQxvvNxcQUb | (786×74) ÷ ? = 4847 Pick: A) A)4.8 B) B)12 C) C)58 D) D)68 E) E)48 | Explanation: 58164/x = 4847 => x = 58164/4847=
<gadget id="calculator">58164/4847</gadget>
<output>12</output>
12 Answer: Option 12
<result>B</result> | B | calc |
ape210k__00178439 | A car is driving from A to B. If the speed is increased by 20%, it can arrive 1 hour earlier than the original time. If it travels 120 kilometers at the original speed, and then increases the speed by 25%, it can arrive 40 minutes earlier. How many kilometers is the distance between A and B? | <gadget id="calculator">40 / 60</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">1 / (5/4)</gadget>
<output>4/5 = around 0.8</output>
<gad... | 270 | calc |
aqua_rat__QCGz8f0YkafxLyKr | A starts a business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital? Choose the correct choice from the following choices
A) Rs.7500
B) Rs.8000
C) Rs.8500
D) Rs.9000
E) None | Solution Let B's capital be Rs.x. Then, 3500×12 ⁄ 7x =2⁄3 ‹=›14x = 126000 x = 9000. Answer Rs.9000
<result>D</result> | D | calc |
ape210k__01120271 | The municipal greening team has to complete a greening task. Team A can complete it in 10 weeks alone, and team B can complete it in 15 weeks alone. How many weeks can the two teams complete at the same time? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/10) + (1/15)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / (1/6)</gadget>
<output>6</output>
<result>6</... | 6 | calc |
aqua_rat__p7nIcklS9g4crc9h | A cement mixture is composed of 3 elements. By weight, 1/3 of the mixture is sand, 1/4 of the mixture is water, and the remaining 10 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds? Options
A) 24 B) 26 C) 28 D) 30 E) 36 | Let the total weight be x. Sand content= (1/3)x Water content= (1/4)x Gravel=x-(1/3)x-(1/4)x=(5/12)x=10 x=24 Then answer will be 24=24
<result>A</result> | A | calc |
ape210k__00314305 | The area ratio of a trapezoid and a parallelogram is 3:2. Their heights are equal. The upper base of the trapezoid is 6 cm and the lower base is 9 cm. What is the base of the parallelogram in cm? | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">3 + (9/2)</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(15/2) / (... | 5 | calc |
ape210k__00369177 | After the banquet, Guo Qiang and Liu Jia went to buy notebooks. It costs 0.6 yuan more to buy 6 exercise books than to buy 3 masterwork texts, and 0.6 yuan per exercise book. How much is each masterwork text? (solution by equation) | <gadget id="calculator">6 * 0.6</gadget>
<output>3.6</output>
<gadget id="calculator">3.6 - 0.6</gadget>
<output>3</output>
<gadget id="calculator">3 / 3</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00073875 | The area of a rectangle is 120 square meters. If its length is quadrupled and its width remains the same, what is the area of the rectangle now? | <gadget id="calculator">120 * 4</gadget>
<output>480</output>
<result>480</result> | 480 | calc |
aqua_rat__4Y6FyeuKjVhRyOjE | There are two sections B and C of a class, consisting of 46 and 54 students respectively. If the average weight of sections B is 50 kg and that of sections C is 45 kg. Find the average weight of the whole class Select the correct option:
A) 47.3 B) 48.3 C) 49.3 D) 50.3 E) None | Solution Total weight of(46+54)Students = (46x50+54x45)Kg = 4730 kg. Average weight of the whole class = (4730 / 100) = 47.30. 47.3nswer 47.3
<result>A</result> | A | calc |
ape210k__00787553 | A parallelogram rice field with a bottom of 180 meters and a height of 150 meters can harvest 16 tons of rice per hectare on average. How many tons of rice can be harvested in this field? | <gadget id="calculator">180 / 10_000</gadget>
<output>9/500 = around 0.018</output>
<gadget id="calculator">16 * 150 * (9/500)</gadget>
<output>216/5 = around 43.2</output>
<result>216/5 = around 43.2</result> | 216/5 | calc |
ape210k__01046269 | Oranges cost 1.2 yuan per kilogram, and bananas cost 2.3 yuan per kilogram. Mom bought 1 kilogram each. How much did it cost? | <gadget id="calculator">1.2 * 1</gadget>
<output>1.2</output>
<gadget id="calculator">2.3 * 1</gadget>
<output>2.3</output>
<gadget id="calculator">1.2 + 2.3</gadget>
<output>3.5</output>
<result>3.5</result> | 3.5 | calc |
ape210k__00389751 | What is the difference between the product of 24 and its reciprocal, minus (2/3) of (1/2)? | <gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">24 * (1/24)</gadget>
<output>1</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculato... | 2/3 | calc |
ape210k__01162811 | The volume of a cuboid is 36 cubic centimeters, the area of the base is 12 square centimeters, and the height is in centimeters. | <gadget id="calculator">36 / 12</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00551902 | garment factory receives a batch of orders for 300 pieces of clothing. If workshop A alone takes 8 days to complete, if workshop B alone takes 10 days to complete, if two workshops do this batch of orders at the same time, how many days can it be completed? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/8) + (1/10)</gadget>
<output>9/40 = around 0.225</output>
<gadget id="calculator">1 / (9/40)</gadget>
<output>40/9 = around 4.444444</output... | 40/9 | calc |
ape210k__01098765 | Team A and Team B jointly build a canal. Team A builds 14.5 meters every day, and Team B builds 46.5 meters in 3 days. According to this calculation, how many meters of canal will the two teams build together in 6 days? | <gadget id="calculator">46.5 / 3</gadget>
<output>15.5</output>
<gadget id="calculator">14.5 + 15.5</gadget>
<output>30</output>
<gadget id="calculator">30 * 6</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
ape210k__01201127 | Xiao Li and Xiao Chen are traveling westward from West Village and East Village respectively. Xiao Li rides a bicycle and travels 15 kilometers per hour, Xiao Hong walks 3 kilometers per hour, and Xiao Ming catches up with Xiao Hong after 3 hours. How many kilometers apart? | <gadget id="calculator">15 - 3</gadget>
<output>12</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__fkrU9RVmeDxIQ61c | In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Choo... | The percent of tagged fish in the second catch is 2/40*100=
<gadget id="calculator">2/40*100</gadget>
<output>5</output>
5%. We are told that 5% approximates the percent of tagged fish in the pond. Since there are 40 tagged fish, then we have 0.05x= 40 --> x = 800. Answer: 800.
<result>B</result> | B | calc |
aqua_rat__xkEM4QzN7fKnCGa9 | Of the 80 people in a room, 2/5 are women. If 1/2 of the people are married, what is the maximum number of women in the room who could be unmarried? Choose the correct choice from the following choices.
A) 20
B) 22
C) 26
D) 30
E) 32 | women = 2/5 * 80=
<gadget id="calculator">2/5 * 80</gadget>
<output>32</output>
32 married= 1/2 * 80=
<gadget id="calculator">1/2 * 80</gadget>
<output>40</output>
40 unmarried= 40 max(un-married women) = 32 32
<result>E</result> | E | calc |
aqua_rat__1eC82j9LSFURfjYO | If x is a positive integer, which of the following must be odd?
Choose the correct choice from the following answers:
A) x+1 B) x^2+x C) x^2+x+9 D) x^2−1 E) 3x^2−3 | A. X+1 = can be odd or even. Since O + O =E or E + O = O B. X^2 + X = X(X+1). Since from the above derivation we already know the term X+1 can be Odd or Even, directly substitute here. X(ODD) = Even (When X is Even) or X(EVEN) = EVEN [When X is ODD] C. Here's the answer. Since we know the term x^2 + X can always ta... | C | calc |
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