id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00316967 | 35/16*32/10=how much. | <gadget id="calculator">35 / 16</gadget>
<output>35/16 = around 2.1875</output>
<gadget id="calculator">32 / 10</gadget>
<output>16/5 = around 3.2</output>
<gadget id="calculator">(35/16) * (16/5)</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00994353 | Mom bought Xiaoming a globe for 85 yuan and a schoolbag for 48 yuan. How much did mother spend in total? | <gadget id="calculator">85 + 48</gadget>
<output>133</output>
<result>133</result> | 133 | calc |
ape210k__00402036 | parallelogram vegetable field, the longer side of which is close to the wall, and the adjacent two sides are 10 meters and 8 meters long respectively, if it is surrounded by a fence, how many meters of fence is needed at least? | <gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">10 + 16</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
ape210k__00566582 | Master Zhang wants to cut the largest circle out of a square iron sheet with a side length of 16 decimeters. What is the area of this circle in square decimeters? | <gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">3.14 * 64</gadget>
<output>200.96</output>
<result>200.96</result> | 200.96 | calc |
aqua_rat__YMLyTquUQl90THgs | In what time will a train 120 m long cross an electric pole, it its speed be 121 km/hr?
Choose the correct choice from the following answers: A) 2.5 B) 2.7 C) 2.9 D) 3.6 E) 2.1 | Speed = 121 * 5/18 = 33.6 m/sec Time taken = 120/33.6 = 3.6 sec. Answer: 3.6
<result>D</result> | D | calc |
ape210k__00451565 | Grandma spent 3.45 yuan on vegetables, 9.3 yuan on fish, 2.55 yuan on bean products, and 20.7 yuan on meat. How much did grandma share? | <gadget id="calculator">3.45 + 20.55</gadget>
<output>24</output>
<gadget id="calculator">9.3 + 20.7</gadget>
<output>30</output>
<gadget id="calculator">24 + 30</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
ape210k__00412065 | In a mathematics class, a group of students measured the shadow length of a 3-meter-long bamboo pole in the sun to be 2 meters long, and another group of students measured the shadow length of the national flag pole to be 10 meters long. How long is the national flag pole? (Solve with ratio) | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">10 / (2/3)</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00411655 | The quotient of two numbers is 3, the dividend is increased by 100 times, and the divisor is increased by 10 times, what is the quotient? | <gadget id="calculator">100 / 10</gadget>
<output>10</output>
<gadget id="calculator">3 * 10</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00546816 | Aunt Liu’s house grew 96 square meters of radishes in a plastic greenhouse, and sold 30 square meters last week, earning a total of 360 yuan. According to this calculation, how much can the remaining carrots be sold for? | <gadget id="calculator">360 / 30</gadget>
<output>12</output>
<gadget id="calculator">96 - 30</gadget>
<output>66</output>
<gadget id="calculator">12 * 66</gadget>
<output>792</output>
<result>792</result> | 792 | calc |
ape210k__00375841 | The quotient of 0.46/0.3 is 1.5, what is the remainder | <gadget id="calculator">1.5 * 0.3</gadget>
<output>0.45</output>
<gadget id="calculator">0.46 - 0.45</gadget>
<output>0.01</output>
<result>0.01</result> | 0.01 | calc |
aqua_rat__T86AaAtO7eSWhb5q | A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Choices: A) 7 sec B) 6 sec C) 9 sec D) 4 sec E) 3 sec | Speed of train relative to man = (60 + 6) km/hr = 66 km/hr [66 * 5/18] m/sec = [55/3] m/sec. Time taken to pass the man = [110 * 3/55=
<gadget id="calculator">110 * 3/55</gadget>
<output>6</output>
6 sec Answer:6 sec
<result>B</result> | B | calc |
ape210k__00975519 | A rectangle whose length is shortened by 4 decimeters becomes a square with an area of 64 square decimeters. What is the area of the original rectangle? | <gadget id="calculator">8 * 8</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
ape210k__00880477 | A rectangle is 30 decimeters long and 5 decimeters greater than its width. What is the area of the rectangle? | <gadget id="calculator">30 - 5</gadget>
<output>25</output>
<gadget id="calculator">30 * 25</gadget>
<output>750</output>
<result>750</result> | 750 | calc |
ape210k__01123135 | There are 280 boxes of pears and 450 boxes of apples, 245 boxes have been shipped, how many boxes are left? | <gadget id="calculator">450 - 245</gadget>
<output>205</output>
<gadget id="calculator">280 + 205</gadget>
<output>485</output>
<result>485</result> | 485 | calc |
ape210k__00292114 | The engineering team planned to dig an 800-meter canal in 20 days, but actually completed the task in 16 days. By what percentage has the actual work efficiency of the engineering team improved compared to the plan? | <gadget id="calculator">800 / 16</gadget>
<output>50</output>
<gadget id="calculator">800 / 20</gadget>
<output>40</output>
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">10 / 40</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
aqua_rat__Fz3Cx3J4GsW5KQWM | In a camp, there is a meal for 110 men or 200 children. If 140 children have taken the meal, how many men will be catered to with remaining meal?
Choose the correct choice from the following answers: A) 41 B) 30 C) 35 D) 33 E) 36 | D 33 There is a meal for 200 children. 140 children have taken the meal. Remaining meal is to be catered to 60 children. Now, 200 children 110 men. 60 children = (110/200)x 60= 33 men.
<result>D</result> | D | calc |
aqua_rat__dMB6l50NeKybQZch | The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than Choose the correct choice from the following choices:
A) 14 years
B) 12 years
C) 56 years
D) 66 years
E) 15 years | Given that A+B = 15 + B + C => A – C = 15 + B – B = 15 => C is younger than A by 15 years Answer:15 years
<result>E</result> | E | calc |
ape210k__00535679 | A piece of white paper with a side length of 5.5 cm is surrounded to form a cylindrical paper tube. What is the side area of the paper tube in square centimeters? | <gadget id="calculator">5.5 * 5.5</gadget>
<output>30.25</output>
<result>30.25</result> | 30.25 | calc |
aqua_rat__G2SjH2Bwxfgcckir | Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.2880? Choose the correct choice from the following options.
A) 8100 B) 3388 C) 7767 D) 2009 E) 3645 | 2880* 9/8 * 9/8=
<gadget id="calculator">2880* 9/8 * 9/8</gadget>
<output>3_645</output>
3645 Answer: 3645
<result>E</result> | E | calc |
aqua_rat__uEQnTEmoq4QPAwBC | Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 42 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast? Choose the most appropriate option:
A) 10... | Let me try a simpler one. Lets assume that candidate got 42% votes and total votes is 100. Candidate won = 42 Remaining = 58 To get 50%, candidate requires 8 votes from 100 which is 8% and 8 votes from 58. 8/58 = .137 = 13.7% Which is approx 14%. Hence the answer is 14%.
<result>C</result> | C | calc |
ape210k__00230280 | If the two sides of an isosceles triangle are 4 cm and 10 cm long, what is the length of the other side in cm? | <result>10</result> | 10 | calc |
ape210k__00527877 | After a factory implements the responsibility system, the number of employees has decreased (1/10), but the output has increased by 8%. What is the work efficiency of the employees now? | <gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">1 + (2/25)</gadget>
<output>27/25 = around 1.08</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gad... | 6/5 | calc |
ape210k__00235886 | The length of a rectangle is increased by (1/2) and the width is also increased by (1/2). What is the area of the new large rectangle? | <gadget id="calculator">1 / 2</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">(3/2) * (3/2)</gadget>
<output>9/4 = around 2.25</output>
<result>9/4 = around 2.25</result> | 9/4 | calc |
ape210k__00086163 | What is the volume of a cube surrounded by a wire with a length of 108 cm? | <gadget id="calculator">108 / 12</gadget>
<output>9</output>
<gadget id="calculator">9 * 9 * 9</gadget>
<output>729</output>
<result>729</result> | 729 | calc |
aqua_rat__VY1EtnFmJsbzCpZy | Find the probability that a number selected from numbers 1, 2, 3,..., 50 is a prime number, when each of the given numbers is equally likely to be selected? Choose one:
A) 10/50 B) 15/50 C) 8/50 D) 3/50 E) 7/50 | Let X be the event of selecting a prime number. X = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47} n(X) = 15, n(S) = 50 Hence, the required probability is 15/50. ANSWER:15/50
<result>B</result> | B | calc |
ape210k__00455426 | "June 1" Cup sports competition, there are 6 grades in the school, 4 classes in each grade, a total of 288 students won the prize, how many students in each class win the prize on average? | <gadget id="calculator">288 / 6 / 4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00762145 | There is a cuboid container with a rectangular bottom, 3.2 decimeters long and 2.5 decimeters wide when measured from the inside. Inside the container is a cube iron block with a side length of 1 decimeter. Now pour all 11 liters of water into the container, just enough to fill it up. , how many decimeters is this cont... | <gadget id="calculator">1 * 1 * 1</gadget>
<output>1</output>
<gadget id="calculator">1 + 11</gadget>
<output>12</output>
<gadget id="calculator">3.2 * 2.5</gadget>
<output>8</output>
<gadget id="calculator">12 / 8</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | calc |
gsm8k__sYpdM3jVywULoWbn | Tom decides to make lasagna with all his beef. It takes twice as many noodles as beef. He has 10 pounds of beef. He already has 4 pounds of lasagna noodles and the noodles come in 2-pound packages. How many packages does he need to buy? | He needs 10*2=
<gadget id="calculator">10*2</gadget>
<output>20</output>
20 pounds of noodles.
That means he needs to buy 20-4=
<gadget id="calculator">20-4</gadget>
<output>16</output>
16 pounds of noodles.
So he needs to buy 16/2=
<gadget id="calculator">16/2</gadget>
<output>8</output>
8 packages.
<result>8</result... | 8 | calc |
ape210k__00715409 | Li Xin deposited 4,000 yuan in the bank on January 6, 2003. The fixed term is 3 years, and the annual interest rate is 2.70%. | <gadget id="calculator">2.7 / 100</gadget>
<output>0.027</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">4_000 * 0.027 * 3 * (19/20)</gadget>
<output>307.8</output>
<gadget ... | 4_307.8 | calc |
ape210k__00612330 | In a triangle, it is known that ∠B=59˚, ∠C=90˚, what is the degree of ∠A? | <gadget id="calculator">180 - 90 - 59</gadget>
<output>31</output>
<result>31</result> | 31 | calc |
ape210k__01224679 | Calculation: 0.8*(1.25+6) | <gadget id="calculator">1.25 + 6</gadget>
<output>7.25</output>
<gadget id="calculator">0.8 * 7.25</gadget>
<output>5.8</output>
<result>5.8</result> | 5.8 | calc |
ape210k__00431344 | What is the area of a parallelogram with a base of 5 meters and a height of 4 meters? | <gadget id="calculator">5 * 4</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__01160811 | A pair of gloves is 7 yuan, a pair of sports shoes is 77 yuan, how many times the price of a pair of sports shoes is a pair of gloves? | <gadget id="calculator">77 / 7</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
aqua_rat__AEAncGM4CFUClXZd | An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 29 metre of cloth ? Choose the correct choice from the following answers:
A) 175 seconds B) 195 seconds C) 155 seconds D) 227 seconds E) 115 seconds | Explanation: Let the time required by x seconds. Then, More cloth means More time (227 secondsirect Proportion) So, 0.128 : 1 :: 29 : x => x = {\color{Blue} \frac{29\times 1}{0.128}} => x = 226.56 So time will be approx 227 seconds Answer: 227 seconds
<result>D</result> | D | calc |
ape210k__00062491 | Li Ming got the same number of 5 yuan and 1 yuan lucky money during the Spring Festival, so how many yuan Li Ming might have | <result>48</result> | 48 | calc |
aqua_rat__3P58Y2TFFQNCjRRv | A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 20 hrs and a machine of type S does the same job in 60 hours. If the company used the same number of each type of machine to do the job in 3 hours, how many machines of type R were used? Optio... | Type R completes 1/20 of the job each hour. Type S completes 1/60 of the job each hour. Together R and S complete 1/20 +1/60 = 1/15 of the job each hour. Let n be the number of each type of machine. 3*n*(1/15) = 1 job completed n = 5 The answer is 5.
<result>C</result> | C | calc |
gsm8k__phwSsBIiwj4G2rwP | Carolyn practices the piano for 20 minutes a day and the violin for three times as long. If she practice six days a week, how many minutes does she spend practicing in a month with four weeks? | First find Carolyn's total violin practice time by tripling her piano practice time: 20 minutes/day * 3 =
<gadget id="calculator">20*3</gadget>
<output>60</output>
60 minutes/day.
Then find the total amount of time she spends practicing each day: 60 minutes/day + 20 minutes/day =
<gadget id="calculator">60+20</gadget... | 1_920 | calc |
aqua_rat__rBc9sdS5dgG9kToC | Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 8) and (12,2). What is the slope of line m? Select:
A) -2 B) -1 C) 0 D) 1 E) 2 | The midpoint of (2,8) and (12,2) is (7,5). The slope of a line through (0,-2) and (7,5) is (5-(-2))/(7-0) = 7/7=
<gadget id="calculator">7/7</gadget>
<output>1</output>
1 The answer is 1.
<result>D</result> | D | calc |
ape210k__01147155 | The rectangular pillowcase is 72 cm long and 55 cm wide, with lace trimmed around it. How long is the lace? | <gadget id="calculator">72 + 55</gadget>
<output>127</output>
<gadget id="calculator">127 * 2</gadget>
<output>254</output>
<result>254</result> | 254 | calc |
ape210k__00576619 | How many (1/6) sums are equal to 2. | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">2 / (1/6)</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
math_qa__eDbrYXx2knw9rxnf | Find the ratio in which rice at Rs. 7.10 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg Choices:
A) 2 : 0
B) 3 : 4
C) 2 : 1
D) 2 : 2
E) 2 : 8 | <gadget id="calculator">6.3 - 5.7</gadget>
<output>0.6</output>
<gadget id="calculator">7.1 - 6.3</gadget>
<output>0.8</output>
<gadget id="calculator">0.6 / 0.8</gadget>
<output>0.75</output>
<result>B</result> | B | calc |
ape210k__00520858 | A car drives from place A to place B. It travels the whole distance (3/5) in the first hour, and travels 45km in the second hour. It is still 80km away from place B. How many meters are there between A and B? | <gadget id="calculator">45 + 80</gadget>
<output>125</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">125 / (2/5)</gadget>
<output>625/2 = around 312.5</output>
<gadget id="calculato... | 312_500 | calc |
ape210k__00541905 | The volume of a cuboid is 72dm**3, the area of the base is 12dm**2, what is its height in dm? | <gadget id="calculator">72 / 12</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__ZnmqqbZJMDM27lFw | The workforce of Company X is 40% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers? Choose the correct choice:
A) 480
B) 500
C) 520
D) 460
E) 440 | let x be the total worker then 0.4x =female worker and 0.6x is male worker then 20 male worker added 04x/(0.6x +20) = 50/100 or 40x = 50*( 0.6x+100) = 30x+ 5000 or 10x = 5000 , x = 500 total worker = 500 +20=
<gadget id="calculator">500 +20</gadget>
<output>520</output>
520 520
<result>C</result> | C | calc |
ape210k__00232792 | How many days are there in the first half of 2008? | <gadget id="calculator">31 * 3</gadget>
<output>93</output>
<gadget id="calculator">30 * 2</gadget>
<output>60</output>
<gadget id="calculator">93 + 60 + 29</gadget>
<output>182</output>
<result>182</result> | 182 | calc |
aqua_rat__NqVtVII3HburnQEd | Which number, when found in the denominator of any given fraction, gives a terminating decimal?
Choose the correct choice from the following: A) 75 B) 80 C) 85 D) 90 E) 95 | 75 = 3 * 5 * 5; 80 = 2^4 * 5; 85 = 5 * 17; 90 = 2 * 3^2 * 5; 95 = 5 * 19. Only Option B has 2 and 5 as factors, hence terminating. Option 80.
<result>B</result> | B | calc |
math_qa__Am0hUlhKZZAZZeX1 | find last digits of (1023^3923)+(3081^3921) Select.
A) 8 B) 9 C) 10 D) 11 E) 12 | <gadget id="calculator">3_923 % 4</gadget>
<output>3</output>
<gadget id="calculator">10 - 3</gadget>
<output>7</output>
<gadget id="calculator">7 + 1</gadget>
<output>8</output>
<result>A</result> | A | calc |
ape210k__00529497 | The school chorus team has 48 students, and the number of dance teams is the chorus team (7/8). The number of people in the technology group is 3 more than that in the dance team. How many people are there in the technology group? | <gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">48 * (7/8)</gadget>
<output>42</output>
<gadget id="calculator">42 + 3</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
aqua_rat__JFhz8fGCiFAzj9uW | A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of water in the mixture of 1 liter is
Choose the most appropriate option: A) 83.33 ml B) 83.03 ml C) 93.33 ml D) 63.03 ml E) 82.33 ml | Explanation: Profit (%) = 9.09 % = \inline \frac{1}{11} Since the ratio of water and milk is 1 : 11, Therefore the ratio of water is to mixture = 1:12 Thus the quantity of water in mixture of 1 liter = \inline 1000\times \frac{1}{12} = 83.33 ml] 83.33 mlnswer: 83.33 ml) 83.33 ml
<result>A</result> | A | calc |
ape210k__00136059 | How much more is the 2 in the second digit to the left of the decimal point than the 2 in the second digit to the right of the decimal point | <gadget id="calculator">20 - 0.02</gadget>
<output>19.98</output>
<result>19.98</result> | 19.98 | calc |
aqua_rat__gYVegBzYQXKgytpl | If 1 persons can do 1 times of a particular work in 1 day, then, 7 persons can do 7 times of that work in
? Choose the correct choice from the following answers
A) 3 days B) 1 day C) 9 days D) 11 days E) 15 days | That is, 1 person can do one time of the work in 1 day. Therefore, 7 persons can do 7 times work in the same 1 day itself. Option '1 day'
<result>B</result> | B | calc |
gsm8k__ejJCbzga6aUQQKWb | Julio makes a mocktail every evening. He uses 1 tablespoon of lime juice and tops with 1 cup of sparkling water. He can usually squeeze 2 tablespoons of lime juice per lime. After 30 days, if limes are 3 for $1.00, how much will he have spent on limes? | He uses 1 tablespoon of lime juice per drink so over 30 days that's 1*30 =
<gadget id="calculator">1*30</gadget>
<output>30</output>
30 tablespoons of lime juice.
He can get 2 tablespoons of lime juice per lime and he will use 30 tablespoons of lime juice so he will need 30/2 = 15 limes.
The limes are 3 for $1.00 and ... | 5 | calc |
ape210k__00337689 | Xiaogang’s family bought a bag of flour and ate 18 kilograms, which happened to be (3/4) of this bag of flour. How many kilograms of this bag of flour are left? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">18 / (3/4)</gadget>
<output>24</output>
<gadget id="calculator">24 - 18</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00533609 | After improving the technology, the work efficiency of the master will increase by 25%, and the time to complete the project will be shortened from the original 10 hours to how many hours. | <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>
<gadget id="calculator">10 * (4/5)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00254668 | If the perimeter of a rectangle is 60 cm and the ratio of length to width is 3:2, what is the area in square centimeters? | <gadget id="calculator">60 / 2</gadget>
<output>30</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">30 * (3/5)</gadget>
<output>18</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0... | 216 | calc |
aqua_rat__Bn2HFJ3U8fV41B62 | Find the odd man out. 1, 3, 9, 12, 19, 29 Choose one:
A) 12 B) 9 C) 1 D) 3 E) 6 | Explanation : 12 is an even number. 12ll other given numbers are odd 12nswer : Option 12
<result>A</result> | A | calc |
aqua_rat__4BS64fAFgwojpsQJ | A train passes a platform in 40 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is Pick:
A) 280 meter B) 240 meter C) 200 meter D) 300 meter E) None of these | Explanation: Speed of the train = 54 km/hr = (54×10)/40 m/s = 15 m/s Length of the train = speed × time taken to cross the man = 15×20 = 300 m Let the length of the platform = L Time taken to cross the platform = (300+L)/15 => (300+L)/15 = 40 => 300+L = 15×40 = 600 => L = 600-300=
<gadget id="ca... | D | calc |
math_qa__8H6q7wDbUSxZVbgd | s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits Q are in s(99)? Choices:
A) q = 350
B) q = 353
C) q = 354
D) q = 356
E) 357 | <gadget id="calculator">60 + 4</gadget>
<output>64</output>
<gadget id="calculator">64 + 4</gadget>
<output>68</output>
<gadget id="calculator">68 * 4</gadget>
<output>272</output>
<gadget id="calculator">68 + 272</gadget>
<output>340</output>
<gadget id="calculator">3 * 1</gadget>
<output>3</output>
<gadget id="c... | B | calc |
ape210k__00537434 | A down jacket was sold in the Gulou shopping mall. It was originally sold at a 20% discount, but later it was sold at a 40% discount, which was 300 yuan cheaper than before. How much is the price of this down jacket now? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(4/5) - (3/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">300 / (1/5)</gadget>
<output>1_500</output>
<gadget id="cal... | 900 | calc |
ape210k__01191577 | Two cars are traveling toward each other from A and B at the same time. Car A travels 63 kilometers per hour, and car B travels 57 kilometers per hour. When they meet, car A travels 24 kilometers longer than car B. How many kilometers are there between A and B? | <gadget id="calculator">63 + 57</gadget>
<output>120</output>
<gadget id="calculator">63 - 57</gadget>
<output>6</output>
<gadget id="calculator">24 / 6</gadget>
<output>4</output>
<gadget id="calculator">120 * 4</gadget>
<output>480</output>
<result>480</result> | 480 | calc |
ape210k__00557252 | The number of A is 240, the number of A is more than the number of B (1/4), what is the number of B | <gadget id="calculator">1 / 4</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">240 / (5/4)</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
math_qa__icvHHlz2uwQwXVvL | A train is walking at 6/7 of its usual speed, the train is 20 minutes too late. Find its usual time to cover the journey. Choose the correct choice from the following:
A) 1 hour B) 30 min C) 3 hours 20 min D) 2 hours 30 min E) 2 hours | <gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">(6/7) * 20</gadget>
<output>120/7 = around 17.142857</output>
<gadget id="calculator">1 - (6/7)</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(120/7) / (1/7)</gadget>
<output>120</output>
... | E | calc |
ape210k__00495051 | The area of a circle is 12.56 square centimeters, if its radius is enlarged by 3 times, what is the area? | <gadget id="calculator">12.56 * 9</gadget>
<output>113.04</output>
<result>113.04</result> | 113.04 | calc |
ape210k__00422515 | 20% of the number A is equal to (1/6) of the number B, the number A is 90, what is the number B. | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/5) / (1/6)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">90 * (6/5)</gadget>
<output>108</output>
<result>108</res... | 108 | calc |
aqua_rat__Ql4K99QcKrj9GrBc | When x is divided by y, the quotient is z with remainder f. Which of the following is equal to f? Choose the correct answer:
A) yz – x
B) y/x−z
C) x – y – z
D) x – yz
E) zx – y | (x/y)=z(+f) (18/8)=2(+2) x-yz which is 18-(8*2)=
<gadget id="calculator"> 18-(8*2)</gadget>
<output>2</output>
2 Answer is x – yz
<result>D</result> | D | calc |
ape210k__00480317 | Solve the equation: x-(2/5)+(1/4)=(5/8). | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(5/8) - (1/4)</gadget>
<output>3/8 = around 0.375</output>
<gadget id=... | 31/40 | calc |
ape210k__00107773 | A jumbo jet airliner flies 1110 kilometers per hour, which is 60 kilometers more than three times the flight distance of an ordinary airplane per hour. How many kilometers does an ordinary airplane fly per hour? | <gadget id="calculator">1_110 - 60</gadget>
<output>1_050</output>
<gadget id="calculator">1_050 / 3</gadget>
<output>350</output>
<result>350</result> | 350 | calc |
ape210k__00258846 | Add a 0 to the end of an integer, and the new number obtained is 1980 more than the original number. What is this number? | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">1_980 / 9</gadget>
<output>220</output>
<result>220</result> | 220 | calc |
ape210k__00612086 | A store’s turnover in January is taxed at 3%, and the after-tax balance is 19,400 yuan. How much is the store’s tax? | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">2 * (3/100)</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">(3/50) * 10_000</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
ape210k__00573720 | A cuboid cistern covers an area of 30 square meters and is 1.5 meters deep. What is the maximum cubic meter of water that can be stored in the pool. | <gadget id="calculator">30 * 1.5</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
math_qa__C8uGl4LRW7zgocPv | Of the goose eggs laid at a certain pond, 1/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs ... | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">120 / (2/5)</gadget>
<output>300</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">30... | B | calc |
ape210k__01205687 | A log with a length of 2 meters is cut into two identical pieces, and the surface area increases by 48 square centimeters. What is the volume of each piece in cubic centimeters? | <gadget id="calculator">48 / 2</gadget>
<output>24</output>
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 * 100</gadget>
<output>100</output>
<gadget id="calculator">24 * 100</gadget>
<output>2_400</output>
<result>2_400</result> | 2_400 | calc |
ape210k__00814565 | Xiaoqiang went to the stationery supermarket and bought a fountain pen and a ballpoint pen for 15.4 yuan. It is known that the price of a fountain pen is 4.5 times that of a ballpoint pen. How much is a pen? | <gadget id="calculator">4.5 + 1</gadget>
<output>5.5</output>
<gadget id="calculator">15.4 / 5.5</gadget>
<output>2.8</output>
<gadget id="calculator">2.8 * 4.5</gadget>
<output>12.6</output>
<result>12.6</result> | 12.6 | calc |
ape210k__00250676 | Write the numbers 1, 2, and 4 on the circumference and write their sum between every two adjacent numbers (so a total of 6 numbers: 1, 3, 2, 6, 4, 5) and repeat this A process is performed 5 times, and there are 192 numbers appearing on the circle, what is the sum of all these numbers? | <gadget id="calculator">1 + 2 + 4</gadget>
<output>7</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">3 ** 3</gadget>
<output>27</output>
<gadget id="calculator">7 * 3 * 27 * 3 * 3</gadget>
<output>5_103</output>
<result>5_103</result> | 5_103 | calc |
ape210k__00541710 | For a fraction, if 3 is added to the numerator, the fraction is equal to (1/2), and if 1 is added to the denominator, the fraction is equal to (1/3), find the fraction. | <gadget id="calculator">3 * 7</gadget>
<output>21</output>
<gadget id="calculator">21 - 1</gadget>
<output>20</output>
<gadget id="calculator">7 / 20</gadget>
<output>7/20 = around 0.35</output>
<result>7/20 = around 0.35</result> | 7/20 | calc |
math_qa__Q0b7ywOiNpbcydLg | A man bought 40 shares of Rs. 60 at 5 discount, the rate of dividend being 1212%The rate of interest obtained is
Select the correct option:
A) 13.64 %
B) 15.5 %
C) 14 %
D) 14.25 %
E) 14.95 % | <gadget id="calculator">40 * 60</gadget>
<output>2_400</output>
<gadget id="calculator">1_212 / 100</gadget>
<output>303/25 = around 12.12</output>
<gadget id="calculator">2_400 * (303/25)</gadget>
<output>29_088</output>
<gadget id="calculator">60 - 5</gadget>
<output>55</output>
<gadget id="calculator">40 * 55</g... | A | calc |
ape210k__00280814 | If 5x-3y+5=10.8, then, 10x-6y-5=how much. | <gadget id="calculator">10.8 * 2</gadget>
<output>21.6</output>
<gadget id="calculator">21.6 - 15</gadget>
<output>6.6</output>
<result>6.6</result> | 6.6 | calc |
aqua_rat__l9cX79qZtNjxSurf | Joan took out a mortgage from hel local bank. Each monthly mortgage payment she makes must be triple the amount of the previous month's payment. If her first payment is $100, and the total amount she must pay back is $914800, how many months will it take Joan to pay back her mortgage?
Choose the correct answer.
A) 6
B)... | Joan starts off with 100 $ .. which is to be tripled every month Her monthly payments look like this : 100 , 300 , 900 , 2700 ......... Upto 914800 This can be re written as : 100 x 1 , 100 x 3 , 100 x 9 , 100 x 27 ...... 100 x 9148 So we have 1 , 3 , 9 , 27 ..... 914800 in GP We know that a =1 , and r = 3 ... | D | calc |
aqua_rat__mEEK9QDbGn8YINGU | Sum of the squares of three numbers is 116 and the sum of their products taken two at a time is 70. Find the sum? Select the correct option.
A) 14 B) 15 C) 16 D) 17 E) 18 | (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 116 + 2* 70 a + b + c = √256 = 16 16
<result>C</result> | C | calc |
ape210k__00707319 | A cylindrical bucket with a height of 8 decimeters is half filled with water. After pouring out 12 liters of water, the remaining water occupies exactly (2/5) the volume of the bucket. What is the area of the bottom of this bucket in square decimeters? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (1/2) - (2/5)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">12 / (1/10) / 8</gadget>
<output>15</output>
<result>15</res... | 15 | calc |
ape210k__00697091 | (2/4), (3/8), (5/16), (7/32), (11/64), how much, (17/256).... | <gadget id="calculator">64 * 2</gadget>
<output>128</output>
<gadget id="calculator">13 / 128</gadget>
<output>13/128 = around 0.101562</output>
<result>13/128 = around 0.101562</result> | 13/128 | calc |
aqua_rat__7mI2yJuDspHvNAeJ | A grocery shop has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Select the correct option: A) 4857 B) 4184 C) 4012 D) 4991 E) 5291 | Let the sale in the sixth month =x Then (6435+6927+6855+7230+6562+x)/6 =6500 =>6435+6927+6855+7230+6562+x =6×6500 => 34009+x=39000 => x=39000−34009 =4991 ANSWER:4991
<result>D</result> | D | calc |
ape210k__00555766 | If 96 oranges are put into a box on average, how many boxes can be filled with 8 oranges per box? | <gadget id="calculator">96 / 8</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00486251 | Only the formula does not count: the paper mill planned to use 420 tons of water in April, but the actual water consumption was 315 tons. What percentage was saved? | <gadget id="calculator">420 - 315</gadget>
<output>105</output>
<gadget id="calculator">105 / 420</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00976057 | An airplane flies 3,600 kilometers in 4 hours, and a car travels 40 kilometers per hour. How many times faster is the speed of the airplane than the car? | <gadget id="calculator">3_600 / 4 / 40</gadget>
<output>45/2 = around 22.5</output>
<result>45/2 = around 22.5</result> | 45/2 | calc |
ape210k__00672229 | An isosceles trapezoid has an upper base of 4 meters, a height of 30 decimeters, and a base of 12 meters. What is the area of the trapezoid in square meters? | <gadget id="calculator">30 / 10</gadget>
<output>3</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">7 * 6</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
aqua_rat__i2Pg31esHE7vxX9K | Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 88, and the three numbers in order are? Select the correct option: A) 116,58,36 B) 98,49,33 C) 126,63,36 D) 144,72,48 E) None of these | Explanation : Solution: Let A =x, B =x/2, C = x/3. =x + x/2 + x/3 / 3 = 88 By solving we will get x = 144. Hence A= 144 B= 144/2=
<gadget id="calculator">144/2</gadget>
<output>72</output>
72 C= 144/3=
<gadget id="calculator">144/3</gadget>
<output>48</output>
48 Answer : 144,72,48
<result>D</result> | D | calc |
ape210k__00243479 | The product of two numbers is 70, one factor is enlarged by 100 times, and the other factor is reduced by 10 times, what is the product? | <gadget id="calculator">100 / 10</gadget>
<output>10</output>
<gadget id="calculator">70 * 10</gadget>
<output>700</output>
<result>700</result> | 700 | calc |
ape210k__00035066 | Grandpa Li participated in the rural cooperative medical insurance. The insurance clause stipulates: a minimum payment line is set for the inpatient medical expenses compensation of the insured, 100 yuan for township (town) medical institutions, and 200 yuan for county-level medical institutions. The part above the min... | <gadget id="calculator">6_100 - 100</gadget>
<output>6_000</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">1 - (7/10)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">6_000 * (3/10)</gadget>
<output>1_800</output>
<gadget id="calculato... | 1_900 | calc |
ape210k__01103069 | A parallelogram and a triangle have the same base and height, and the area of the triangle is known to be 17cm**2, so what is the area of the parallelogram? | <gadget id="calculator">17 * 2</gadget>
<output>34</output>
<result>34</result> | 34 | calc |
ape210k__00195943 | The school held a popular science knowledge competition. Xiao Ming has answered 26 questions correctly and answered 6 questions incorrectly. If he wants to make his correct answer rate reach 85%, how many questions must he answer correctly in a row? | <gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">1 - (17/20)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">6 / (3/20)</gadget>
<output>40</output>
<gadget id="calculator">40 - 26 - 6</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__01018403 | Squeeze a pesticide with water to prepare a pesticide. The mass ratio of the pesticide to water is 1:50. If 0.75 kg of pesticide is used to prepare this pesticide, how many kilograms of water should be added? | <gadget id="calculator">1 / 50</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">0.75 / (1/50)</gadget>
<output>37.5</output>
<result>37.5</result> | 37.5 | calc |
aqua_rat__feydXICV05xLOH8I | In a Question paper there are 6 multiple choice questions. Each question has 3 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the four answers correct? Choose the correct choice from the following options:
A) 19 B) 85 C) 748 D) 624 E) 1024 | A candidate can answer the test in 3^6 number of ways (each question has 3 choices and we have total of 6 questions). Now, out of these cases there will be only one case when the candidate answered all the six questions correct. Therefore the total number of ways in which a candidate will NOT get all the six answers co... | D | calc |
ape210k__00574028 | The circumference of a circular fountain is 62.8 meters. Build a 1-meter-wide path around the fountain and pave the path with floor tiles. How many square meters is the floor tile area? | <gadget id="calculator">62.8 / 3.14 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">11 ** 2</gadget>
<output>121</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">121 - 100</gadget>
<output>21</output>
... | 65.94 | calc |
ape210k__00291561 | The original price of a hot water bottle is 120 yuan, now it is 40% off, what is the current price? | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">120 * (3/5)</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
math_qa__TSvwOWYg2HT0iz89 | If A lends Rs.25000 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Answers: A) 1125 B) 1225 C) 1325 D) 1145 E) 2125 | <gadget id="calculator">25_000 * 11.5</gadget>
<output>287_500</output>
<gadget id="calculator">287_500 * 3</gadget>
<output>862_500</output>
<gadget id="calculator">862_500 / 100</gadget>
<output>8_625</output>
<gadget id="calculator">25_000 * 10</gadget>
<output>250_000</output>
<gadget id="calculator">250_000 * ... | A | calc |
ape210k__01107259 | Cars A and B leave opposite directions at the same time from places A and B. After 2.5 hours, the two cars meet on the way. It is known that the speed of car A is 90 km/h and the speed of car B is 72 km/h. How many miles is the distance between A and B? | <gadget id="calculator">90 + 72</gadget>
<output>162</output>
<gadget id="calculator">162 * 2.5</gadget>
<output>405</output>
<result>405</result> | 405 | calc |
ape210k__00427778 | How many square centimeters of cardboard is needed to make a matchbox outer box with a length of 5 cm, a width of 4 cm, and a height of 2.5 cm? | <gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">5 * 2.5</gadget>
<output>12.5</output>
<gadget id="calculator">20 + 12.5</gadget>
<output>32.5</output>
<gadget id="calculator">32.5 * 2</gadget>
<output>65</output>
<result>65</result> | 65 | calc |
ape210k__00601680 | What is the quotient of the sum of 125 and 75 divided by 40? what is the correct formula | <gadget id="calculator">125 + 75</gadget>
<output>200</output>
<gadget id="calculator">200 / 40</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00161726 | 1 point is 1 yuan | <gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>
<result>1/100 = around 0.01</result> | 1/100 | calc |
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