id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__HFmS0Yw6mVa6fPuh | John and David can finish a job together in 4 hours. If John can do the job by himself in 5 hours, what percent of the job does David do? Select
A) 20% B) 25% C) 24% D) 23% E) 22% | You can also plug in numbers. For example, Bob and Alice work at a donut factory and make 20 donuts which is the job ( I picked this as a SMART number). John on his own works 20/5=
<gadget id="calculator"> 20/5</gadget>
<output>4</output>
4 donuts per hour. John and David work 20/4=
<gadget id="calculator"> 2... | A | calc |
aqua_rat__hlTRaBUQW5Ydti73 | Express a speed of 414 kmph in meters per second?
Choose the correct choice from the following.
A) 201 mps B) 114 mps C) 118 mps D) 115mps E) 111 mps | 414* 5/18=
<gadget id="calculator">414* 5/18</gadget>
<output>115</output>
115 mps Answer: 115mps
<result>D</result> | D | calc |
ape210k__00618927 | How many meters is (1/5) more than (1/3) of 9 meters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">9 * (1/3)</gadget>
<output>3</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">3 + (1/5)</gadget>
<output>16/5 = around 3.2</output>
<result>16/5 = around 3.2... | 16/5 | calc |
ape210k__00166113 | Calculate (2001+2000*2002)/(2001*2002-1)=how much. | <gadget id="calculator">2_001 * 2_000</gadget>
<output>4_002_000</output>
<gadget id="calculator">2_001 + 4_002_000 + 2_000</gadget>
<output>4_006_001</output>
<gadget id="calculator">2_001 * 2</gadget>
<output>4_002</output>
<gadget id="calculator">4_002 - 1</gadget>
<output>4_001</output>
<gadget id="calculator">... | 1 | calc |
aqua_rat__qjUEwKdvzyiIf8nG | The probability that a visitor at the mall buys a pack of candy is 10%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy? Choose the correct answer:
A) 0.009
B) 0.015
C) 0.027
D) 0.036
E) 0.054 | One case is: candy - candy - no candy The probability is 1/10*1/10*9/10 = 9/1000 There are 3 such cases, so we should multiply this probability by 3. P(exactly 2 buy candy) = 9/1000 * 3 = 27/1000=
<gadget id="calculator">27/1000</gadget>
<output>27/1_000 = around 0.027</output>
0.027 The answer is 0.027.
<resu... | C | calc |
math_qa__WrFyMYxuf4hqpJFO | Each of the 39 points is placed either inside or on the surface of a perfect sphere. If 72% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere? Choose the correct choice from the following choices.
A... | <gadget id="calculator">72 / 100</gadget>
<output>18/25 = around 0.72</output>
<gadget id="calculator">39 * (18/25)</gadget>
<output>702/25 = around 28.08</output>
<gadget id="calculator">(702/25) / 2</gadget>
<output>351/25 = around 14.04</output>
<result>D</result> | D | calc |
ape210k__00520699 | Two passenger and freight vehicles depart from the east and west cities opposite each other at the same time, and meet each other in 12 hours. At this time, the truck is still 480 kilometers away from the east city. It is known that the bus will take 30 hours to travel from the east city to the west city. After the two... | <gadget id="calculator">480 / 12</gadget>
<output>40</output>
<gadget id="calculator">40 * 30 * 2</gadget>
<output>2_400</output>
<gadget id="calculator">30 - 12</gadget>
<output>18</output>
<gadget id="calculator">18 / 12</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">40 * (3/2)</gadget>
<outpu... | 25 | calc |
aqua_rat__k72uSSfJsTMhau7g | Find the sum of the local value and absolute value of 4 in 564823 Answers:
A) 4004 B) 8000 C) 16000 D) 12000 E) 18000 | Explanation: Place value = Local value Face value = Absolute value The place value of 4 in 564823 is 4 x 1000 = 4000 The face value of 4 in 564823 is nothing but 4. => 4000 + 4=
<gadget id="calculator">4000 + 4</gadget>
<output>4_004</output>
4004 4004nswer: Option 4004
<result>A</result> | A | calc |
ape210k__00928385 | The area of a triangle is 570cm**2, the height is 38cm, what is the base corresponding to the triangle height? | <gadget id="calculator">2 / 38</gadget>
<output>1/19 = around 0.052632</output>
<gadget id="calculator">570 * (1/19)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__kDkZME3wJqa1D4so | On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number Y of races we need to conduct to get the top 3 fastest horses? Select the correct option
A) 5 B) 7 C) 8 D) 10 E) 11 | Y=7 is the correct answer. Good solution 7uneul.7
<result>B</result> | B | calc |
ape210k__00106789 | The fruit store bought 1 ton of fruit and sold 780 kilograms. The rest will be sold out in 2 days. How many kilograms are sold per day on average? | <gadget id="calculator">1_000 - 780</gadget>
<output>220</output>
<gadget id="calculator">220 / 2</gadget>
<output>110</output>
<result>110</result> | 110 | calc |
ape210k__00522923 | Mr. Li deposited 5,000 yuan in the bank. The deposit method was a demand deposit with an annual interest rate of 0.72%. After depositing for 4 months, he took out all the money. How much can Mr. Li get in total for principal and interest? | <gadget id="calculator">0.72 / 100</gadget>
<output>0.0072</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">5_000 * 0.0072 * (1/3)</gadget>
<output>12</output>
<gadget id="calculator">5_000 + 12</gadget>
<output>5_012</output>
<result>5_012</result> | 5_012 | calc |
gsm8k__vl6CRgGJp6vIJy1k | In a compound, the number of cats is 20% less than the number of dogs. There are also twice as many frogs as the number of dogs in the compound. Calculate the total number of animals present in the compound if there are 160 frogs. | There are twice as many frogs as dogs in the compound, meaning there are 160/2 =
<gadget id="calculator">160/2</gadget>
<output>80</output>
80 dogs.
The total number of frogs and dogs in the compound is 80+160 =
<gadget id="calculator">80+160</gadget>
<output>240</output>
240.
The number of cats is less than 20% of t... | 304 | calc |
ape210k__00103419 | There is a fraction. After dividing this fraction by (2/7), the sum of the numerator and denominator is 71. What is the original number? | <gadget id="calculator">71 - 2</gadget>
<output>69</output>
<gadget id="calculator">69 / 7</gadget>
<output>69/7 = around 9.857143</output>
<result>69/7 = around 9.857143</result> | 69/7 | calc |
ape210k__00181379 | The minute hand of a clock is 6 cm long. From 5:20 to 6:00, how many centimeters does the tip of the minute hand travel? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">2 * 3.14 * 6 * (2/3)</gadget>
<output>25.12</output>
<result>25.12</result> | 25.12 | calc |
ape210k__00628814 | Xiaohong took the mathematics graduation exam, and spent (1/5) of the total time on filling in the blanks and judgment questions, (1/4) of the total time on multiple choice questions and calculation questions, and (7 /20), how much time he has left to check. | <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">7 / 20</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">1 - (1/5) - (1/4) - (7/20)</gadget>
<output>1/5 = around 0.2</output>
... | 1/5 | calc |
ape210k__00462260 | A germination test was performed with 200 seeds. 10 grains did not germinate, what is the germination rate? | <gadget id="calculator">200 - 10</gadget>
<output>190</output>
<gadget id="calculator">190 / 200</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(19/20) * 1</gadget>
<output>19/20 = around 0.95</output>
<result>19/20 = around 0.95</... | 19/20 | calc |
ape210k__00194900 | Bought 110 pieces of candy, distributed to the three classes according to the ratio of 8:9:5 of the number of large, medium, and small classes, and the small class got 100 yuan. How many | <gadget id="calculator">8 + 9 + 5</gadget>
<output>22</output>
<gadget id="calculator">5 / 22</gadget>
<output>5/22 = around 0.227273</output>
<gadget id="calculator">110 * (5/22)</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
aqua_rat__zXZdAaAOmRtfMWGJ | A can do a piece of work in 30 days; B can do the same in 50 days. How many days will it take the work to get finished if A and B work together?
Choose the correct choice from the following answers: A) 18.75 B) 20.25 C) 21.52 D) 23.45 E) 24.58 | A completes 1/30th of the work in one day and B completes 1/50th. (1/30)+(1/50)=(1/x) 8/150=1/x => x=150/8=
<gadget id="calculator">150/8</gadget>
<output>75/4 = around 18.75</output>
18.75days 18.75nswer: 18.75
<result>A</result> | A | calc |
gsm8k__uG7DW9MG2P5GaUTw | There is a 5,200 sq. ft. house and a 7,300 sq. ft. house next to each other. The smaller house is being expanded. If the new total square footage of both houses is 16,000 sq. ft., how much is the smaller house being expanded by, in sq. ft.? | Originally, the houses are 7300+5200=
<gadget id="calculator">7300+5200</gadget>
<output>12_500</output>
12500 sq. ft. in total.
The smaller house will be expanded by 16000-12500=
<gadget id="calculator">16000-12500</gadget>
<output>3_500</output>
3500 sq. ft.
<result>3_500</result> | 3_500 | calc |
ape210k__00220004 | If an array of 8 rows and n columns is formed into several square arrays of 15 rows and 15 columns, there are still 3 people left, one person holds the flag, and two people protect the flag. Then what is the minimum value of n. | <gadget id="calculator">225 * 5</gadget>
<output>1_125</output>
<gadget id="calculator">1_125 + 3</gadget>
<output>1_128</output>
<gadget id="calculator">1_128 / 8</gadget>
<output>141</output>
<result>141</result> | 141 | calc |
math_qa__0Hvjf03VIyGkkqZc | A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 8 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per seco... | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">18 + 8</gadget>
<output>26</output>
<gadget id="calculator">26 / 10</gadget>
<output>13/5 = around 2.6</output>
<result>A</result> | A | calc |
ape210k__00604851 | Calculation: (7/5)-(2/((3/5)+(1/4)))*(11/9). | <gadget id="calculator">1_129 / 765</gadget>
<output>1_129/765 = around 1.475817</output>
<result>1_129/765 = around 1.475817</result> | 1_129/765 | calc |
ape210k__00006133 | The red scarf team participated in the activity of learning from Lei Feng. Every group of 6 people or every group of 9 people is just finished, how many people are there at least in this team. | <gadget id="calculator">2 * 3 * 3</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00236207 | What is the solution of the equation 7x+5=47 x= | <gadget id="calculator">47 - 5</gadget>
<output>42</output>
<gadget id="calculator">42 / 7</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__CQG3DAvGKtwVtWhJ | If 20 typists can type 50 letters in 30 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour? Choose one: A) 400 B) 500 C) 350 D) 250 E) 200 | No. of letters typing by 20 typists in 30 minutes = 50 No. of letters typing by 20 typists in 60 minutes = 50*2=
<gadget id="calculator">50*2</gadget>
<output>100</output>
100 No. of letters typing by 40 typists in 60 minutes= 100/10*40=
<gadget id="calculator">100/10*40</gadget>
<output>400</output>
400 400nsw... | A | calc |
ape210k__00179371 | A rectangle is 5 decimeters long and 4 decimeters wide, what is its perimeter? | <gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">9 * 2</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
math_qa__WyGxkHrfcJc89RcL | ?% of 360 = 126 Pick
A) 277 B) 35 C) 64 D) 72 E) none of these | <gadget id="calculator">126 * 100</gadget>
<output>12_600</output>
<gadget id="calculator">12_600 / 360</gadget>
<output>35</output>
<result>B</result> | B | calc |
aqua_rat__5xwlJcJkBHEhuTHY | what is the next term of this series6,10,9,15,12,20,15,25...? Pick.
A) 9 B) 10 C) 11 D) 12 E) 18 | 3&2=6; 5*2=
<gadget id="calculator"> 5*2</gadget>
<output>10</output>
10; 3*3=
<gadget id="calculator"> 3*3</gadget>
<output>9</output>
9 3*5=
<gadget id="calculator">3*5</gadget>
<output>15</output>
15 3*4=
<gadget id="calculator">3*4</gadget>
<output>12</output>
12 5*4=
<gadget id="calculator">5*... | E | calc |
math_qa__VYHeYCgdnMbHnK5e | (0.0077)(3.6) / (0.04)(0.1)(0.007)= Choose the correct choice from the following answers: A) 0.099 B) 0.0099 C) 9.9 D) 990 E) 99 | <gadget id="calculator">0.0077 * 3.6</gadget>
<output>0.02772</output>
<gadget id="calculator">0.04 * 0.1</gadget>
<output>0.004</output>
<gadget id="calculator">0.004 * 0.007</gadget>
<output>0.000028</output>
<gadget id="calculator">0.02772 / 0.000028</gadget>
<output>990</output>
<result>D</result> | D | calc |
ape210k__00377158 | To build a road, the full length (2/15) was repaired on the first day, the full length (2/5) was repaired on the second day, and the full length (1/3) was repaired on the third day. How much is not repaired? | <gadget id="calculator">2 / 15</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (2/15) - (2/5) - (1/3)</gadget>
<output>2/15 = around 0.13... | 2/15 | calc |
aqua_rat__uTgynGNjCmrlvID5 | Ramu & Sangeetha went for biological analysis to an island which is 34km from their place. They traveled in a boat which went at a speed of 2m/s. when they are in half a distance in the boat Sangeetha noted there are 7 leg & 8 leg octopuses under the water. Ramu counted the total number of legs of octopuses and got 54.... | multiples of 7(legs) multiples of 8(legs) 7 8 14 16 21 24 28 32 Here only 14 legs(multiple of 7)+32 legs(multiple of 8)=54 legs So the question is to find the number of 7 legged Octopus. Then 14/7=
<gadget id="calculator"> 14/7</gadget>
<output>2</output>
2. 2NSWER:2
<result>A</result> | A | calc |
ape210k__01192249 | Add a 0 after 52, how much is this number larger than the original. | <gadget id="calculator">520 - 52</gadget>
<output>468</output>
<result>468</result> | 468 | calc |
ape210k__00499753 | The sum of two addends is 900, one of which is 400, and what is the other addend. | <gadget id="calculator">900 - 400</gadget>
<output>500</output>
<result>500</result> | 500 | calc |
ape210k__00551095 | To make the quotient of □56/46 have two digits, what should be the minimum number in □. | <result>5</result> | 5 | calc |
ape210k__00434284 | A batch of corn seeds is used for a germination test. As a result, 192 seeds germinated and 8 did not germinate. Find the germination rate of this batch of seeds. | <gadget id="calculator">192 + 8</gadget>
<output>200</output>
<gadget id="calculator">192 / 200</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</r... | 24/25 | calc |
ape210k__00541693 | A number expanded to 100 times its original size and then reduced to one tenth of its original size is 3.14. What was the original number? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">3.14 * (1/10)</gadget>
<output>0.314</output>
<result>0.314</result> | 0.314 | calc |
ape210k__00894367 | What is the quotient of the difference between 1000 and 40 divided by the sum of 178 and 142? | <gadget id="calculator">1_000 - 40</gadget>
<output>960</output>
<gadget id="calculator">178 + 142</gadget>
<output>320</output>
<gadget id="calculator">960 / 320</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
math_qa__MVFAcQvHvJxjGHPr | What percent is 3% of 5% ? Choose the most appropriate option: A) 60 % B) 50 % C) 75 % D) 45 % E) 30 % | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * 100</gadget>
<output>60</output>
<result>A</result> | A | calc |
math_qa__psls44ORf9ZzL35l | The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes ... | <gadget id="calculator">3_600 / 10</gadget>
<output>360</output>
<gadget id="calculator">144 / 360</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 100</gadget>
<output>40</output>
<result>D</result> | D | calc |
ape210k__00335510 | There are 50 students in the third class of the sixth year, and 48 of them have reached the "National Physical Exercise Standard" (children's group). What is the compliance rate? | <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</result> | 24/25 | calc |
aqua_rat__DlLYyYjyJEWxNVen | The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 148, what is the difference between the ages of Patrick and Monica? Pick one.
A) 27 B) 48 C) 45 D) 72 E) 18 | Ages of P and Mi=3x+5x Ages of Mi and Mo=3x:5x Rationalizing their ages. ratio of their ages will be 9x:15x:25x Sum=47x=148 x=3 Difference if ages of Pa and Mo=25x-9x=16x25 -9=
<gadget id="calculator">25 -9</gadget>
<output>16</output>
16x=16*3=
<gadget id="calculator">16*3</gadget>
<output>48</output>
48 ... | B | calc |
ape210k__00812367 | A circular flower bed has an inner diameter of 4 meters. If a layer of gravel road with a width of 1 meter is laid on the outside, what is the area of the gravel road in square meters? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">9 - 4</gadget>
<output>5</output>
<gadget id="calculator"... | 15.7 | calc |
ape210k__00129318 | The three groups process a batch of garments at the same time. It is known that the ratio of garment sets processed by Group A to Group B is 8:9, the ratio of garment sets processed by Group B to Group C is 3:5, and Group C processed 105 more sets than Group A. How many sets did Group C process? | <gadget id="calculator">15 - 8</gadget>
<output>7</output>
<gadget id="calculator">105 / 7</gadget>
<output>15</output>
<gadget id="calculator">15 * 15</gadget>
<output>225</output>
<result>225</result> | 225 | calc |
math_qa__22atw1YRaKr6ow8j | A man's speed with the current is 21 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is? Choose one
A) 10 B) 20 C) 16 D) 30 E) 40 | <gadget id="calculator">21 - 2.5</gadget>
<output>18.5</output>
<gadget id="calculator">18.5 - 2.5</gadget>
<output>16</output>
<result>C</result> | C | calc |
aqua_rat__JEgBUEh0V50uiGSU | How can you get 81 using the digits 2, 3, 25, 50, 75, 100 only once using any of the arithmetic operators?
Choose the correct answer
A) 81 B) 82 C) 87 D) 98 E) 57 | since 3^2 = 9 and 9^2 = 81, ie , (3^2)^2 = 81 (3*3)^2 = 81 so, [3*{(100+50-75)/25}]^2 = 81 81NSWER:81
<result>A</result> | A | calc |
aqua_rat__GEgBWVgzOgeYsULC | Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 50 percent ? Choose the correct answer:
A) 200
B) 32... | Original (Long-Term is 70%) Total = 800 Long-Term = .7(800) = 560 New (Long-Term is 50%) New Total = 800 - y New Long-Term = 560 - y 560 - y = .5 (800 - y) y = 320 Answer: 320
<result>B</result> | B | calc |
aqua_rat__GzntlytKFcDlQkRp | In a barrel of juice there is 30 liters; in a barrel of beer there are 50 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Choose the correct choice: A) 3:2. B) 2:1. C) 3:1. D) 4:3. E) 15:4 | Price of 30 L juice= 3x 1L= 3x/30 Price of 50 L beer= 4x 1L= 4x/50 Ratio of 1 L price = 3x/30/4x/50= 15:4 15:4 is the answer
<result>E</result> | E | calc |
aqua_rat__84yzIqmFFF9ofCCi | The average of six numbers is 3.95. The average of two of them is 3.3, while the average of the other two is 3.85. What is the average of the remaining two numbers? Choose the correct choice
A) 4.5 B) 4.6 C) 4.7 D) 4.8 E) 4.9 | Sum of the remaining two numbers = (3.95 × 6) – [(3.3 × 2) + (3.85 × 2)] = 23.70 – (6.6 + 7.7) = 23.70 – 14.3 = 9.40 ∴ Required average = (9.4⁄2) = 4.7 Answer 4.7
<result>C</result> | C | calc |
aqua_rat__8d1sWc6WM2VUYb6S | A certain car can travel 72 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers) Choose the correct choice:
A) 52
B) 65
C) 117
D... | Fuel used 3.9 gallons ;convert to liters--> 3.9 x 3.8 liters Time = 5.7 hours 1 mile = 1.6 kilometers ;convert to miles--> 1km = 1/1.6 mile Speed (km/hour) -- 1=
<gadget id="calculator"> -- 1</gadget>
<output>1</output>
1/1.6 mile Speed (km/hour)= D/T = 72 (km*) x 3.9 x 3.8 / 5.7 replace (km*) to m... | C | calc |
ape210k__00915123 | There are 178 male workers and 316 female workers in the textile factory. Divide these workers into groups of 38, how many groups can they be divided into? | <gadget id="calculator">178 + 316</gadget>
<output>494</output>
<gadget id="calculator">494 / 38</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
ape210k__00628784 | The weight of the grass will decrease (2/3) after drying. Now there are 66 tons of grass. How many tons of hay are left after drying? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">66 * (1/3)</gadget>
<output>22</output>
<result>22</result> | 22 | calc |
ape210k__00630555 | Xiaogang and his family traveled 357 kilometers by car to a certain place. If the fuel consumption per 100 kilometers was 7 liters, at least how many liters of gasoline should be prepared to ensure that there is no refueling on the way back and forth? | <gadget id="calculator">2 / 100</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">357 * (1/50) * 7</gadget>
<output>2_499/50 = around 49.98</output>
<result>2_499/50 = around 49.98</result> | 2_499/50 | calc |
ape210k__00486503 | A*B=20, if A is enlarged by 3 times and B remains unchanged, what is the product now? | <gadget id="calculator">20 * 3</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__uzposqMZLJf9G5sc | What is the minimum number of years upon which SI on Rs 2600 at 6.67% interest rate will be in whole number? Pick one.
A) 2 B) 6 C) 3 D) 4 E) 5 | Explanation: Simple Interest =Principal * Rate * Time Principal = 2600 Rs Interest Rate = 6.67% => SI = 2600 * (20/3)*Time SI of the number will be a whole number for the first time when time is three as denominator of rate is 3. Hence time should be set to 3 years. ANSWER 3
<result>C</result> | C | calc |
ape210k__00294385 | To make a Tibetan-style tent for the "Shoton" Festival, it takes 30 days for the master to complete it alone, and half a month for the apprentice to complete it alone. If everyone takes turns working for one day in the order of master, apprentice, master, apprentice, ... how many days will it take to complete the tent. | <gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">30 + 15</gadget>
<output>45</output>
<gadget id="calculator">1 / 45</gadget>
<output>1/45 = around 0.022222</output>
<gadget id="calculator">(1/30) + (1/45)</gadget>
<output>1/18 = around 0.055556</output>
<gadge... | 36 | calc |
ape210k__00758399 | A piece of rectangular iron sheet with a length of 8 decimeters and a width of 7 decimeters can be welded into a cuboid water tank without a cover after cutting a square with a side length of 2 decimeters from each of the four corners. What is the volume of this water tank in liters ? | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">8 - 4</gadget>
<output>4</output>
<gadget id="calculator">7 - 4</gadget>
<output>3</output>
<gadget id="calculator">4 * 3 * 2</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00633518 | If 2 harvesters can harvest 450 acres of wheat in 3 days, how many days will it take to harvest 2100 acres of wheat with 7 harvesters? | <gadget id="calculator">450 / 3 / 2</gadget>
<output>75</output>
<gadget id="calculator">75 * 7</gadget>
<output>525</output>
<gadget id="calculator">2_100 / 525</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00631696 | The distance between A and B is 1008 kilometers. Two fast and slow cars drive oppositely from the two places at the same time. The speed ratio is 5:4. When they meet, how many kilometers will the fast car travel more than the slow car? | <gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(5/9) - (4/9)</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calc... | 112 | calc |
ape210k__00437036 | A new swimming pool is 50m long, twice as long as it is wide, and 2.4m deep. How many square meters of tiles are needed to paste tiles around and on the bottom of the swimming pool? | <gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">50 * 25</gadget>
<output>1_250</output>
<gadget id="calculator">50 * 2.4 * 2</gadget>
<output>240</output>
<gadget id="calculator">25 * 2.4 * 2</gadget>
<output>120</output>
<gadget id="calculator">1_250 + 240 + 120</gadget>
<output... | 1_610 | calc |
aqua_rat__SnvfVuRmjV0ItRnc | Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choose the correct choice from the following options
A) 223 B) 277 C) 288 D) 200 E) 812 | Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively. r = 15000(1 - 4/100) = 15000 - 600 m = 8000(1 + 10/100) = 8000 + 800 Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200 As this is positive, an overall profit of Rs. 200 was made. Answer: 200
<result>D</resul... | D | calc |
ape210k__00582823 | Calculate 240*5, how many 0s are there at the end of the product? | <result>2</result> | 2 | calc |
ape210k__00286979 | The factory produces a batch of parts, and the ratio of qualified to unqualified is 24:1. What is the pass rate of this batch of parts? | <gadget id="calculator">24 + 1</gadget>
<output>25</output>
<gadget id="calculator">24 / 25</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__MLq4RFFhxrgMs6F9 | Can you find the smallest non fractional number such that
If the number gets divided by 13 , we get the remainder of 1;
If the number gets divided by 14 , we get the remainder of 2
If the number gets divided by 15 , we get the remainder of 3;
If the number gets divided by 16 , we get the remainder of 4. Select the corr... | B 30238. As we know LCM of the numbers 13 14 15 & 16 is 30240 So if i divide 30240 by any of the four number , it gives remainder as 0. Now to get reminder as desired, is should be 2 short of 30238. (3-1,4-2,5-3,6-4 ) Ans:option 30238
<result>B</result> | B | calc |
aqua_rat__cbRrPppQeuENOHbi | What is the greatest prime factor of 4^17 - 2^26? Choices:
A) 2 B) 3 C) 5 D) 127 E) 11 | I'm happy to help with this. We know 4 = 2^2, so 4^17 = (2^2)^17 = 2^(2*17) = 2^34 That takes advantage of a law of exponents that says (a^n)^m = a^(n*m) So, 4^17 - 2^26 = 2^34 - 2^26 = 2^(26 + 8) - 2^26 = (2^26)*(2*8) - 2^26 = (2^8 - 1) *(2^26) = (128 - 1)*(2^26) = 127*(2^26) The prime factors of 63 are 127,... | D | calc |
ape210k__00868331 | A businessman purchased 4,800 kilograms of pineapples at a purchase price of 1.8 yuan per kilogram. The transportation cost was 3,000 yuan. During the transportation, 10% of the pineapples could not be sold due to deterioration, and the rest of the pineapples were all sold out. % of profit. Find the selling price of th... | <gadget id="calculator">1.8 * 4_800</gadget>
<output>8_640</output>
<gadget id="calculator">8_640 + 3_000</gadget>
<output>11_640</output>
<gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">11_640 * (2/25)</gadget>
<output>4_656/5 = around 931.2</output>
<gadget id=... | 291/100 | calc |
aqua_rat__oEVs6Gyhh9rYk6Dn | A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is: Choose the most appropriate option: A) 12 B) 10 C) 14 D) 25 E) 15 | Dividend Rs 20 = (9/100*20) = 9/5 12 is an income on Rs 100 Rs 9/5 is an income Rs (100/12*9/5)=
<gadget id="calculator"> (100/12*9/5)</gadget>
<output>15</output>
Rs 15 ANSW15R 15
<result>E</result> | E | calc |
ape210k__01085849 | A road has been repaired by 30%, and it is still 800 meters away from the midpoint. How many meters is this road? | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(1/2) - (3/10)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">800 / (1/5)</gadget>
<output>4_000</output>
<result>4_000... | 4_000 | calc |
ape210k__00835425 | Xingguang Clothing Factory has 466 meters of floral cloth, and 80 sets of adult clothing, each with 3.2 meters of cloth. The rest of the floral cloth is used as children's clothing, and each set uses 2.1 meters of cloth. How many sets of children's clothing can be made? (Solving problems with equations) | <gadget id="calculator">80 * 3.2</gadget>
<output>256</output>
<gadget id="calculator">466 - 256</gadget>
<output>210</output>
<gadget id="calculator">210 / 2.1</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00057544 | There are 4 paths from village A to village B, and 3 paths from village B to village C. So how many different ways are there to go from village A to village C through village B? | <gadget id="calculator">4 * 3</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
math_qa__TUKpFGMxiB6UcrhS | The profit obtained by selling an article for Rs. 66 is the same as the loss obtained by selling it for Rs. 52. What is the cost price of the article? Pick.
A) rs . 40
B) rs . 50
C) rs . 49
D) rs . 59
E) none of these | <gadget id="calculator">66 + 52</gadget>
<output>118</output>
<gadget id="calculator">118 / 2</gadget>
<output>59</output>
<result>D</result> | D | calc |
aqua_rat__AfIhw5FsMxvh76Zn | Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution Q in the liquid in the tank after 3 minutes? Choos... | Part filled by (A + B + 3/11) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20 Part filled by B in 3 minutes = 3/20 Required ratio = 3/20 * 20/11 = 3/11 Answer:3/11
<result>C</result> | C | calc |
ape210k__00778627 | The bottom of the trapezoid is 48cm, the top and height are half of the bottom, what is the area in cm**2. | <gadget id="calculator">48 / 2</gadget>
<output>24</output>
<gadget id="calculator">24 + 48</gadget>
<output>72</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">72 * 12</gadget>
<output>864</output>
<result>864</result> | 864 | calc |
ape210k__00445529 | There is a stone weighing 6 tons. If 1 cubic meter of this stone weighs 2.5 tons, what is the volume of this stone in cubic meters? | <gadget id="calculator">6 / 2.5</gadget>
<output>2.4</output>
<result>2.4</result> | 2.4 | calc |
ape210k__00525344 | On a map with a scale of 1:3000000, the measured distance between A and B is 50 cm. If two trains A and B depart from A and B oppositely at the same time, and meet each other after 10 hours, passenger train A travels 76 kilometers per hour, how many kilometers per hour does passenger train B travel? | <gadget id="calculator">1 / 3_000_000</gadget>
<output>1/3_000_000 = around 0</output>
<gadget id="calculator">50 / (1/3_000_000) / 100_000 / 10</gadget>
<output>150</output>
<gadget id="calculator">150 - 76</gadget>
<output>74</output>
<result>74</result> | 74 | calc |
ape210k__00114075 | The diameter of a radar circular screen is 80 cm, find the area of the screen. | <gadget id="calculator">80 / 2</gadget>
<output>40</output>
<gadget id="calculator">40 ** 2</gadget>
<output>1_600</output>
<gadget id="calculator">3.14 * 1_600</gadget>
<output>5_024</output>
<result>5_024</result> | 5_024 | calc |
ape210k__01146693 | How much is it to combine 45+8=53, 530/53=10 into a comprehensive formula. | <gadget id="calculator">45 + 8</gadget>
<output>53</output>
<gadget id="calculator">530 / 53</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
aqua_rat__IGlBFUZfQeRRqVdU | A man buy a book in Rs50 & sale it Rs100. What is the rate of profit ??? Choose the correct choice:
A) 10% B) 100% C) 30% D) 25% E) 28% | cp=50 sp=100 profit=100-50=
<gadget id="calculator">100-50</gadget>
<output>50</output>
50 %=50/50*100=
<gadget id="calculator">50/50*100</gadget>
<output>100</output>
100% ANSWER:100%
<result>B</result> | B | calc |
ape210k__00480959 | One (Xinhua Dictionary) is 3 centimeters thick, and 5 (Xinhua Dictionary) are stacked together, how many centimeters are they thick? | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__6HvC5ZWgzdIavqgD | Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 9 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed o... | Time taken to reach first 40 km is 40/60 = 2/3 hr Time taken to reach next 40 km is 40/60 = 2/3 hr Time taken to reach next 20 km is 20/60 = 1/3 hr Danny stopped twice on his way at 40 km from starting point and at 80km from the starting point... Each stop was of 9 min , so two 9 min break = 2*3/20 => 3/10 h... | C | calc |
ape210k__00151306 | If the radius of a circle is increased by 4 times, then its area is increased by how many times. | <gadget id="calculator">4 * 4</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00959029 | There are 14 people in the aircraft model group, twice the number of people in the art group, and 84 people in the chorus group, how many times is the number of people in the chorus group compared to the art group? | <gadget id="calculator">14 * 2</gadget>
<output>28</output>
<gadget id="calculator">84 / 28</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__ZnvhwCtPfIdOBMoV | Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 2 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in ter... | Let T be the time thatAlexwill have been walking when Brenda has covered twice as much distance as Alex. In T hours Alex will cover 4T miles; Since Brenda begins her journey 1 hour later than Alex then total time for her will be T-1 hours, and the distance covered in that time will be R(T-1); We want the distance... | C | calc |
ape210k__00202801 | There is a rope, half of the total length is used for the first time, and the remaining half is more than 0.4 meters for the second time, and 1.8 meters are left in the end. How many meters is this rope? | <gadget id="calculator">1.8 + 0.4</gadget>
<output>2.2</output>
<gadget id="calculator">2.2 * 2 * 2</gadget>
<output>8.8</output>
<result>8.8</result> | 8.8 | calc |
ape210k__00298200 | On a map with a scale of 1:2000000, the distance between the two cities is 4 cm. If a car travels 50 kilometers per hour, how long will it take to arrive? | <gadget id="calculator">8_000_000 / 100_000 / 50</gadget>
<output>8/5 = around 1.6</output>
<result>8/5 = around 1.6</result> | 8/5 | calc |
aqua_rat__TzkhxpGGmyEetRlF | After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 4 courses, each with an equal weight for GPA calculations, and received two grades of A-, o... | Grade: A | A- | B+ | B | B- | B+ | B | B- Value: 4 |3.7|3.3|3| 2.7 | 2.3 | 2 | 1.7 7.4 + 3.3 + 3 + x = 3.5 * 5=
<gadget id="calculator">3.5 * 5</gadget>
<output>17.5</output>
17.5 - 13.7=
<gadget id="calculator">17.5 - 13.7</gadget>
<output>3.8</output>
3.8 Grade A is required to qualify Answer= B B
<result... | C | calc |
aqua_rat__wwCYZUUyJw4qUzu0 | What is 12.5 % of 4/12 of 600? Pick one.
A) 25
B) 24
C) 30
D) 27
E) 28 | 12.5 % = 12.5 / 100 = 1/8 of 4/12 = 1/8 * 4/12 = 1 / 24 of 600 = 1/24 * 600=
<gadget id="calculator">1/24 * 600</gadget>
<output>25</output>
25 25ns -25
<result>A</result> | A | calc |
ape210k__00370836 | A certain factory paid 1.8 million yuan in taxes in May, 200,000 yuan more than in April, and how many percent more than April? | <gadget id="calculator">180 - 20</gadget>
<output>160</output>
<gadget id="calculator">20 / 160</gadget>
<output>1/8 = around 0.125</output>
<result>1/8 = around 0.125</result> | 1/8 | calc |
ape210k__00068288 | 2.5 times of a number is 62.5, what is this number? | <gadget id="calculator">62.5 / 2.5</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
aqua_rat__K8kmUOEI2lt98DLf | A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg? Options: A) 98 B) 27 C) 40 D) 37 E) 29 | 800*(25/100)=
<gadget id="calculator">800*(25/100)</gadget>
<output>200</output>
200 ---- 5 ? ---- 1=> Rs.40 Answer:40
<result>C</result> | C | calc |
ape210k__00898871 | It takes 30 seconds for Xiao Ming to climb from the first floor to the third floor. At this speed, how many seconds will it take to climb from the first floor to the sixth floor? | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">15 * 5</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__00220210 | If a basket of apples is stacked in groups of 5, there will be 3 more in the end. If you put them in groups of 6, there will be 4 more in the end. If you put them in groups of 7, there will be 1 more. How many apples are there in this basket? | <gadget id="calculator">30 * 4</gadget>
<output>120</output>
<gadget id="calculator">28 + 120</gadget>
<output>148</output>
<result>148</result> | 148 | calc |
ape210k__00228393 | The sum of the ages of two students is 20 years old, and the difference between them is 2 years old. How old will the older student be 5 years from now? | <gadget id="calculator">20 + 2</gadget>
<output>22</output>
<gadget id="calculator">22 / 2</gadget>
<output>11</output>
<gadget id="calculator">11 + 5</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__uEMqUKqkFAcWGGuU | On the shelf, there are three books of poetry, five novels, and eight reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work? Choose the correct option
A) 1/2
B) 1/3
C) 1/4
D) 1/5
E) 1/6 | We could pick one novel and then one reference work, or, we could choose one reference work and then one novel. P(one novel and one reference work) = 5/16*8/15 + 8/16*5/15 = 1/3 The answer is 1/3.
<result>B</result> | B | calc |
ape210k__00607375 | If a coin is tossed 6 times, 5 heads and 1 tails, what is the probability that the coin will land heads on the 7th toss? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
aqua_rat__yNcGPB4ihjW1j1Gp | The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is Choose one.
A) 4/5 B) 7/11 C) 7/13 D) 7/15 E) 8/11 | Let the required fraction be x. Then 1 - x = 9 x 20 1 - x2 = 9 x 20 20 - 20x2 = 9x 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) - 4(4x + 5) = 0 (4x + 5)(5x - 4) = 0 x = 4/5 4/5)
<result>A</result> | A | calc |
math_qa__Btvj9jb1C9k7ifM1 | If a*b*c=130, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ?
Answers:
A) 1 / 2 B) 1 / 4 C) 3 / 4 D) 2 / 3 E) none of these | <gadget id="calculator">130 * 250</gadget>
<output>32_500</output>
<gadget id="calculator">1_000 * 65</gadget>
<output>65_000</output>
<gadget id="calculator">32_500 / 65_000</gadget>
<output>1/2 = around 0.5</output>
<result>A</result> | A | calc |
ape210k__00498717 | The school purchased 1600 books, science books accounted for (3/8), story books accounted for (3/10), how many other books are there? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/8) - (3/10)</gadget>
<output>13/40 = around 0.325</output>
<gadget id="calculator">1_600 * (13/40)</gadget>
<output>520</output>
<resul... | 520 | calc |
aqua_rat__0JYUgQaju1seWWX9 | Two trains, each 100 m long, moving in opposite directions, cross other in 10 sec. If one is moving twice as fast the other, then the speed of the faster train is? Choices: A) 22 B) 98 C) 48 D) 88 E) 12 | Let the speed of the slower train be x m/sec. Then, speed of the train = 2x m/sec. Relative speed = ( x + 2x) = 3x m/sec. (100 + 100)/10 = 3x => x = 20/3. So, speed of the faster train = 40/3 = 40/3 * 18/5=
<gadget id="calculator">40/3 * 18/5</gadget>
<output>48</output>
48 km/hr. Answer:48
<result>C</res... | C | calc |
aqua_rat__MvdrdUMflTCzWSF1 | An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is Choose the correct answer
A) 10:28 am B) 10:30 am C) 10:31 am D) None of above E) Cannot be determined | Explanation: L.C.M. of 60 and 62 seconds is 1860 seconds 1860/60=
<gadget id="calculator"> 1860/60</gadget>
<output>31</output>
31 minutes They will beep together at 10:31 a.m. Sometimes questions on red lights blinking comes in exam, which can be solved in the same way Option 10:31 am
<result>C</result> | C | calc |
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