id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00163150 | 20 meters (4/5) is as long as how many meters (4/7). | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">(4/5) / (4/7)</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">20 * (7/5)</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00988073 | When the little sloppy calculated 12.6 divided by a number, because the decimal point of the divisor was wrong by one place to the left, the result was 21. What is the correct answer. | <gadget id="calculator">21 / 10</gadget>
<output>21/10 = around 2.1</output>
<result>21/10 = around 2.1</result> | 21/10 | calc |
ape210k__00363161 | There is a circular reservoir. Its diameter is 6 meters, what is its approximate footprint? | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</output>
<result>28.26</result> | 28.26 | calc |
ape210k__00248507 | To draw the largest circle in a rectangle whose length is 6 cm and width is 4 cm, what is the distance between the two feet of the compass in cm? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__YJL4LhjOkGwXa4jM | What is the unit digit of (6!*3! / 3!*4!)? Choose the most appropriate option:
A) 5 B) 6 C) 0 D) 3 E) 4 | (6!*3! /3!*4!) =(6! / 4!) =5*6=
<gadget id="calculator">5*6</gadget>
<output>30</output>
30 Units digit of the above product will be equal to 0 Answer 0
<result>C</result> | C | calc |
ape210k__00463293 | Make a ventilation pipe with a length of 4 meters and a diameter of 10 cm. At least how many square meters of white iron sheet is used to make two ventilation pipes. | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">3.14 * (1/10) * 4 * 2</gadget>
<output>2.512</output>
<result>2.512</result> | 2.512 | calc |
ape210k__00041615 | Arrange (5/13), (6/17), (10/23), (15/33) from small to large, what is the third number? | <gadget id="calculator">10 / 23</gadget>
<output>10/23 = around 0.434783</output>
<result>10/23 = around 0.434783</result> | 10/23 | calc |
aqua_rat__qxl7RSkpJSEnQ9WS | he population of a city is 140,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence? Choose one:
A) 1797787 B) 1597723 C) 159776 D) 159728 E) 157304 | Population after n years = P [1 + (R/100)]2 Population after 2 years = 140000 * [1 + 6/100]2 = (160000 x 53/50 x 53/50) = 157304 ANSW157304R: 157304
<result>E</result> | E | calc |
ape210k__00050500 | Cut a cube billet with an edge length of 4 decimeters into the largest cylinder, what is the radius of the bottom surface of this cylinder in decimeters | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00103322 | There are 50 students in a class, and one student asks for leave due to illness on Monday, what is the attendance rate on that day | <gadget id="calculator">50 - 1</gadget>
<output>49</output>
<gadget id="calculator">49 / 50</gadget>
<output>49/50 = around 0.98</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(49/50) * 1</gadget>
<output>49/50 = around 0.98</output>
<result>49/50 = around 0.98</resul... | 49/50 | calc |
ape210k__00220457 | In a parking lot, there are a total of 30 vehicles, among which the cars have 4 wheels and the motorcycles have 3 wheels. These vehicles have 100 wheels in total, so how many three-wheeled motorcycles are there? | <gadget id="calculator">30 * 3</gadget>
<output>90</output>
<gadget id="calculator">100 - 90</gadget>
<output>10</output>
<gadget id="calculator">4 - 3</gadget>
<output>1</output>
<gadget id="calculator">10 / 1</gadget>
<output>10</output>
<gadget id="calculator">30 - 10</gadget>
<output>20</output>
<result>20</re... | 20 | calc |
aqua_rat__8Za1DfCKMMZIFpMB | What is the value of 3x^2 − 2x + 0.3 for x = 0.5? Choices:
A) −0.3 B) 0 C) 0.05 D) 1.08 E) 2.46 | 3x^2-2x+0.3 for x=0.6 =3(0.5*0.5)-4*0.5*(0.5)+0.3 =-0.5*0.5+0.3 =-0.25+0.3=
<gadget id="calculator">-0.25+0.3</gadget>
<output>0.05</output>
0.05 0.05orrect Option : 0.05
<result>C</result> | C | calc |
aqua_rat__B4eYLmfTVbz1CNuU | If two of the four expressions x + y , x + 3y , x - y , and 3x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer? Select
A) 1/2 B) 1/6 C) 1/5 D) 1/3 E) 1/4 | Total number of expressions if 2 are multiplied = 4C2 = 4!/2!*2! = 6 now we have to find the expressions that are in form of x^2 - (by)^2 one is (x+y)(x-y) = x^2 - (1y)^2 If you see any other combination we are always going to have one term of xy since 3x and 3y are there, so there can be only one type of combina... | B | calc |
aqua_rat__SgfpX5EzLDnxrLCO | The new swimming pool needs to be filled with water. If the swimming pool is 5m^3, and the speed to fill the swimming pool is 2.5 cm^3/sec (1m^3 = 10^6 cm^3), how long does it take to fill the entire swimming pool? Pick: A) 2*10^3 B) 2*10^4 C) 2*10^5 D) 2*10^6 E) 2*10^7 | From 1 m^3 = 10^6 cm^3, 5m^3 = 5*10^6 cm^3, time = 5*10^6 cm^3 / 2.5cm ^3/sec = 2*10^6 seconds. Correct Option: 2*10^6 Answer: 2*10^6
<result>D</result> | D | calc |
math_qa__KpdtFhFZoIjWCILe | A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 12:8:7, respectively, by weight. If 54 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes? Select the correct option
A) 15
B) 10
C) 9
D) 6
E) 4 | <gadget id="calculator">12 * 2</gadget>
<output>24</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">24 - 14</gadget>
<output>10</output>
<result>B</result> | B | calc |
ape210k__00911663 | Unity Hope Primary School saved 140 tons of water in the first 4 days of early March, and an average of 35 tons of water per day in the last 6 days. How many tons of water did the Unity Hope Primary School save on average per day in early March? | <gadget id="calculator">35 * 6</gadget>
<output>210</output>
<gadget id="calculator">140 + 210</gadget>
<output>350</output>
<gadget id="calculator">350 / 10</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__00597832 | Calculation: ((3/4)-(1/4)/(7/20))/(3/14). | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</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">(1/4) / (7/20)</gadget>
<output>5/7 = around 0.714286</output>
<gadg... | 1/6 | calc |
ape210k__00231151 | A's number is 25, B's number is 30, how much more than A's number | <gadget id="calculator">30 - 25</gadget>
<output>5</output>
<gadget id="calculator">5 / 25</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00791837 | Uncle Wang has contracted (9/10) hectares of land, of which (2/3) are vegetables, and (1/4) of the vegetable land is radish. How many hectares are you growing radishes on? | <gadget id="calculator">9 / 10</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(9/10) * (2/3) * (1/4)</gadget>
<output>3/20 = around 0.15</output... | 3/20 | calc |
aqua_rat__euqTbqOKnZYPkS91 | A certain ball team has an equal number of right- and left-handed players. On a certain day, two-thirds of the players were absent from practice. Of the players at practice that day, one-third were right handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of l... | Say the total number of players is 18, 9 right-handed and 9 left-handed. On a certain day, two-thirds of the players were absent from practice --> 12 absent and 6 present. Of the players at practice that day, one-third were right-handed --> 6*1/3=2 were right-handed and 4 left-handed. The number of right-ha... | C | calc |
aqua_rat__2XTB5N7gUSP3Au7L | How long will it take a train travelling at 98kmph to pass an electric pole if the train is 140 m long Choose one
A) 6.15 B) 5.15 C) 3.15 D) 1.15 E) 7.15 | Sol. Speed = [ 98x5/18] m/sec =27.2 m / sec. Time taken = (140/27.2)sec =5.15 sec. Answer 5.15
<result>B</result> | B | calc |
aqua_rat__7GazSha6kEXnmdgu | The ratio of two natural numbers is 5:6. If a certain number is added to both the numbers, the ratio becomes 7:8. If the larger number exceeds the smaller number by 10, find the number added? Pick one: A) 10 B) 87 C) 20 D) 72 E) 74 | Let the two numbers be 5x and 6x. Let the number added to both so that their ratio becomes 7:8 be k. (5x + k)/(6x + k) = 7/8 42x = 7k => k = 2x. 6x - 5x = 10 => x = 10 k = 2x = 20. Answer:20
<result>C</result> | C | calc |
ape210k__00032811 | Cut a piece of rectangular paper with a length of 20 cm and a width of 16 cm into the largest circle. What is the radius of the circle in cm? | <gadget id="calculator">16 / 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00425867 | The outer diameter of a bicycle tire is 0.8 meters, and it rotates 60 times per minute, how many meters can it advance per minute? | <gadget id="calculator">3.14 * 0.8 * 60</gadget>
<output>150.72</output>
<result>150.72</result> | 150.72 | calc |
ape210k__00375797 | A rectangular iron plate is 15 decimeters in length and 2/3 in width. Cut the largest circle on this iron plate. What is the area of this circle? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">15 * (2/3)</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3.14 * 25</gadget>
<output>78.5... | 78.5 | calc |
ape210k__01072783 | Xiaodong's mother bought 4 kilograms of bananas and 5 kilograms of apples at the fruit shop, and the total cost was 98 yuan. It is known that the price of bananas per kilogram is 8.5 yuan, how much is the price of apples per kilogram? | <gadget id="calculator">8.5 * 4</gadget>
<output>34</output>
<gadget id="calculator">98 - 34</gadget>
<output>64</output>
<gadget id="calculator">64 / 5</gadget>
<output>64/5 = around 12.8</output>
<result>64/5 = around 12.8</result> | 64/5 | calc |
aqua_rat__B6KZm2iYPjZUQOsy | The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 48 kmph, find the speed of the stream? Choose the most appropriate option:
A) 77
B) 88
C) 14
D) 16
E) 17 | The ratio of the times taken is 2:1. The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)=
<gadget id="calculator">(2+1)/(2-1)</gadget>
<output>3</output>
3/1=
<gadget id="calculator">3/1</gadget>
<output>3</output>
3:1 Speed of the stream= 48/3=
<gadget id="calculator">48/3... | D | calc |
math_qa__WcSsV7Po3lyxD5VC | An order was placed for a carpet whose length and width were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets? Choices.
A) 5 : 8 B) 3 : 2 C) 6 : 1 ... | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">2 * (3 + 2)</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 / 5</gadget>
<output>1</output>
<gadget id="calcu... | B | calc |
ape210k__00091649 | After the price reduction (1/7) of a backgammon VCD, each set is now priced at 780 yuan, how much has it been reduced? | <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">780 / (6/7)</gadget>
<output>910</output>
<gadget id="calculator">910 * (1/7)</gadget>
<output>130</output>
<result>130</result> | 130 | calc |
math_qa__yoRU2141pYRhPMAp | What is the average of first 21 multiples of 7 ? Select the correct option: A) 67 B) 69 C) 77 D) 79 E) 81 | <gadget id="calculator">21 + 1</gadget>
<output>22</output>
<gadget id="calculator">21 * 22</gadget>
<output>462</output>
<gadget id="calculator">462 / 2</gadget>
<output>231</output>
<gadget id="calculator">231 / 21</gadget>
<output>11</output>
<gadget id="calculator">11 * 7</gadget>
<output>77</output>
<result>C... | C | calc |
ape210k__00021106 | There is a natural number, the sum of the quotient (>1) and the remainder (>0) obtained by dividing it by 15, 17, and 19 are all equal. What is the smallest possible number of such a number? | <result>1_081</result> | 1_081 | calc |
aqua_rat__QlAwYrzMKumBYIGE | Walking at 70% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? Answers:
A) 30
B) 36
C) 42
D) 48
E) 56 | speed is inversly proprtional to time walking at 70% of speed meand 7/10s takes 10/7t. It takes 24 minutes extra to cover the distance. then 10/7t=t+24 10t=7t+168 3t=168 t=56. Option 56 is correct
<result>E</result> | E | calc |
ape210k__00020309 | 24 is more than how many (1/3). | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + (1/3)</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">24 / (4/3)</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00208265 | For two numbers A and B, it is stipulated that A▽B=A*B/2, please calculate: 6▽2=how much. | <gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">6 * 1</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__ib6Yb8sT0vWwZXqx | In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 8 boys when a boy gets any no. of prizes? Select:
A) 55
B) 512
C) 510
D) 540
E) 70 | Ans.(B) Sol. In this case, repetitions are allowed, so all the three prizes can be given in 8 ways, i.e. (8 x 8x 8) ways = 83 ways = 512 ways Or nr ways = 83 ways = 512 ways
<result>B</result> | B | calc |
aqua_rat__3Qh5QCA0kzZFQDOi | Choose any 4 desserts from a menu of 10? Pick.
A) 120 B) 140 C) 180 D) 210 E) 240 | 10c4 = 210 Answer is 210
<result>D</result> | D | calc |
aqua_rat__Nx3FW2XeaeGgAakd | At a florist shop on a certain day, all corsages sold for either $40 or $45. If 8 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 20 percent. What was the store's actual revenue from corsages that day? Select the correct option:
A) ... | I am doing it elaborately, hope it will help you. Let, No. of corsages @ $40 = x, no. of corsages @ $45 = y and revenue= r so, 40 x+45 y=r.........(1) Now, Given the situation, 40(x+8) + 45(y-8)= r-.2r => 40 x+320+45 y-360 = .8r => 40x+45y = .8r+40............(2) so, r = .8r+40 => r = 200 The... | A | calc |
aqua_rat__mP8AHSNG60qxSWDH | There are some fruits in box, 1/3rd eaten by children . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 4 were remaining . How many fruits were in total ? Choose the correct choice from the following:
A) 45
B) 30
C) 28
D) 26
E) 91 | Sol: If x fruits were there in total , then x × (1 – 1/3)× (1 – 2/5) ×(1 – 2/3) = 4 x×2/3 × 3/5 × 1/3 = 30 x = 30 Answer:30
<result>B</result> | B | calc |
ape210k__00114467 | 1-(1/(1+2))-(1/(1+2+3))-(1/(1+2+3+4))-…-(1/(1+2+3+ 4+...+100))=how much. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 101</gadget>
<output>1/101 = around 0.009901</output>
<gadget id="calculator">(1/2) - (1/101)</gadget>
<output>99/202 = around 0.490099</output>
<gadget id="calculator">2 * (99/202)</gadget>
<output>99/101 = around 0... | 2/101 | calc |
aqua_rat__j9fqNjNMjUIEML9b | A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.900, what is the reduced price for kg? Select the correct option.
A) 45 B) 60 C) 70 D) 80 E) 20 | 45 900*(25/100)=
<gadget id="calculator">900*(25/100)</gadget>
<output>225</output>
225 ---- 5 ? ---- 1=> Rs.45
<result>A</result> | A | calc |
ape210k__00853969 | Cut off the largest circular iron plate from an iron plate with a length of 10 meters and a width of 8 meters. What is the area of the remaining iron plate in square meters? | <gadget id="calculator">10 * 8</gadget>
<output>80</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<gadget id="calculator">80 - 50.24</gadget>
<output>29.76</output>
<res... | 29.76 | calc |
ape210k__00313609 | It takes (2/5) minutes to saw a steel pipe into 2 sections, how many minutes will it take to saw it into 5 sections? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">(2/5) / 1</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">(2/5) * 4</gadget>
<output... | 8/5 | calc |
ape210k__00331228 | jacket is 36 yuan, and trousers are 24 yuan; how much does it cost to buy 12 sets of these clothes? | <gadget id="calculator">36 + 24</gadget>
<output>60</output>
<gadget id="calculator">60 * 12</gadget>
<output>720</output>
<result>720</result> | 720 | calc |
ape210k__00456229 | The quotient of two numbers is 24. If the dividend remains the same and the divisor is reduced by 4 times, what is the quotient? | <gadget id="calculator">24 * 4</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
aqua_rat__92LefOi7yJlCDeOt | The rate of failure in an examination is 39.25%. Find the least number of total candidates appeared in the examination. Choose the correct choice from the following answers.
A) 100 B) 200 C) 300 D) 400 E) 500 | if 100 student appear then failure=39.25 ......... which is not possible because number of student can not be fraction,like wise in 200 student,failure=78.5, so we have to make the failure percentage into a unit digit failure not fraction...so min no of student =400 so that no of failure=157..........so least no of stu... | D | calc |
aqua_rat__9c1mAhdmJP1VPzfz | Two pipes A and B can separately fill a tank in 10 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choose the correct choice:
A) 6min B) 9min C) 7min D) 8min E) 10min | 4/10 + x/15 = 1 x = 9 ANSWER:9min
<result>B</result> | B | calc |
ape210k__00316283 | A person bought a chicken for 8 yuan, and sold it for 9 yuan. Then he thought it was not worth it, so he bought it back for 10 yuan, and then sold it to another person for 11 yuan. How much did he earn from this chicken? | <gadget id="calculator">8 + 10</gadget>
<output>18</output>
<gadget id="calculator">9 - 18</gadget>
<output>-9</output>
<gadget id="calculator">11 + (-9)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00611767 | Deposit 1,000 yuan in the bank for five years, with an annual interest rate of 5.42% and an interest tax of 2.5%. How much can you get back from the bank when it matures? | <gadget id="calculator">5.42 / 100</gadget>
<output>0.0542</output>
<gadget id="calculator">2.5 / 100</gadget>
<output>0.025</output>
<gadget id="calculator">1 - 0.025</gadget>
<output>0.975</output>
<gadget id="calculator">1_000 * 0.0542 * 5 * 0.975</gadget>
<output>264.225</output>
<gadget id="calculator">1_000 +... | 1_264.225 | calc |
ape210k__00371738 | Solve the equation: 5X/7+2=2.5. | <gadget id="calculator">2.5 - 2</gadget>
<output>0.5</output>
<gadget id="calculator">0.5 * 7</gadget>
<output>3.5</output>
<gadget id="calculator">3.5 / 5</gadget>
<output>0.7</output>
<result>0.7</result> | 0.7 | calc |
math_qa__qiQV0VQyHw0gH3JF | In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 30% of all the employees are men .What % of all the employee went to the picnic? Choose the correct choice from the following
A) 33 %
B) 34 %
C) 35 %
D) 36 %
E) 37 % | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(3/10) * (1/5)</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calcu... | B | calc |
ape210k__00575159 | There are 20 girls in Class 1, and the ratio of boys to girls is 5:4. How many people are there in the class? | <gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">20 / (4/9)</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
aqua_rat__H1XTOZ7A0iHatKFJ | On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1⁄2 of the total distance and again after she traveled 1⁄4 of the distance remaining between her first stop and her destination. She then drove the remaining 200 miles and arrived safely at her destination. W... | Let D = total distance Traci traveled 1/2 = D/2 i.e. remaining distance = D/2 She traveled 1/4 th of D/2 = D/8 Thus: D = (D/2) + (D/8) + 200 D = 800 ANSWER: 800
<result>C</result> | C | calc |
aqua_rat__92gmTxpyFo8zi7nL | John and Jacob set out together on bicycle traveling at 18 and 15 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride... | John's speed - 18 miles/hr Jacob's speed - 15 miles/hr After 40min (i.e 2/3hr), distance covered by John = 18x2/3 = 12 miles. Jacob continues to ride for a total of 1hour and 40min (until John's bike is repaired). Distance covered in 1 hour 40min (i.e 5/3hr) = 15x5/3 = 25 miles. Now, when John starts riding bac... | E | calc |
ape210k__01181885 | Cut a rectangular piece of paper with a length of 60cm and a width of 45cm into square pieces of the same size (just finished cutting), how many such square pieces of paper can be cut at least. | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<gadget id="calculator">15 * 15</gadget>
<output>225</output>
<gadget id="calculator">45 / 225</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">60 * (1/5)</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00371754 | A pile of goods is 120 tons, 45 tons are used up, what fraction of the total amount is left? | <gadget id="calculator">120 - 45</gadget>
<output>75</output>
<gadget id="calculator">75 / 120</gadget>
<output>5/8 = around 0.625</output>
<result>5/8 = around 0.625</result> | 5/8 | calc |
aqua_rat__w4g3WKR8p80j9dGR | The profit earned by selling an article for 892 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit? Choose the correct option: A) 960 B) 1005 C) 1,200 D) 920 E) None of these | Let the profit or loss be x and 892 – x = 448 + x or, x = 444⁄2 = 222 \ Cost price of the article = 892 – x = 448 + x = 670 \ SP of the article = 670 × 150⁄100 = 1005 Answer 1005
<result>B</result> | B | calc |
ape210k__00859927 | To welcome the photo exhibition on New Year's Day, Wang Gang and Li Li are sorting out the photos. There are 96 pictures in total, and 6 pictures are inserted on each page of the picture album. How many pages can be inserted? | <gadget id="calculator">96 / 6</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__kxR0sIVRLkvomFFR | How many positive even integers less than 100 contain digits 5 or 7? Choose the correct choice from the following answers.
A) 10
B) 17
C) 18
D) 19
E) 20 | Two digit numbers: 5 at tens place: 50,52,54,56,58 7 at tens place: 70,72,74,76,78 If 5 and 7 is at units place, the number cant be even Total:5+5=
<gadget id="calculator">5+5</gadget>
<output>10</output>
10 10nswer 10
<result>A</result> | A | calc |
aqua_rat__r2AOtpAkweayOdqj | In an election between the two candidates ,The candidates who gets 60% of votes polled is wined by 280 votes majority. What is the total number of votes polled? Choose the correct choice from the following options:
A) 1400
B) 1500
C) 1600
D) 1700
E) 1800 | Note : majority (20 %) = difference in votes polled to win (60 %) & defeated candidates (40 %) 20 % = 60 % - 40 % 20% -----> 280 (20×14 = 280 ) 100% -----> 1400 (100×14 = 1400) 1400
<result>A</result> | A | calc |
ape210k__00020325 | a and b are numbers among the 27 natural numbers from 1 to 27. If the product of a and b is a multiple of 100, then we call (a, b) a "hopeful number pair". Only when a=b, (a, b) and (b, a) are the same number pair, so how many "hope number pairs" are there in 1-27? | <result>9</result> | 9 | calc |
math_qa__GVtvpnWcj8p0BrDB | A fruit drink is made of orange, watermelon, and grape juice, where 25 percent of the drink is orange juice and 40 percent is watermelon juice. If the drink is made with 70 ounces of grape juice, how many ounces is the drink total? Answers.
A) 125 B) 160 C) 200 D) 250 E) 320 | <gadget id="calculator">70 * 25</gadget>
<output>1_750</output>
<gadget id="calculator">40 + 25</gadget>
<output>65</output>
<gadget id="calculator">100 - 65</gadget>
<output>35</output>
<gadget id="calculator">1_750 / 35</gadget>
<output>50</output>
<gadget id="calculator">70 + 50</gadget>
<output>120</output>
<g... | C | calc |
aqua_rat__05vkOXtKQzaTtpe6 | If x and y are positive numbers and z = xy^2, a 20 percent increase in x and a 10 percent decrease in y would result in which of the following changes in z?
Choices:
A) decrease of 2.8% B) decrease of 11.4% C) increase of 4.6% D) increase of 15.8% E) increase of 22.4% | decrease of 2.8%fter the changes, z = 1.2x*(0.9y)^2 = (1.2*0.81)xy^2 = 0.972*z The answer is decrease of 2.8%.
<result>A</result> | A | calc |
ape210k__00623666 | If a book of 50 yuan is sold at a discount of 25%, what is the selling price? | <gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">50 * (3/4)</gadget>
<output>75/2 = around 37.5</output>
<result>75/2 = around 37.5</result> | 75/2 | calc |
ape210k__00530853 | Xiaoli's height is 126 cm, which is exactly 75% of her father's height. How many centimeters is her father's height? | <gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">126 / (3/4)</gadget>
<output>168</output>
<result>168</result> | 168 | calc |
aqua_rat__lRAl4bVrKL8vYlzt | An investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value?
Options: A) 4 B) 5 C) 6 D) 7 E) 8 | 1 year: 100/3 = 33.33 approx $34: Total: 134 2nd year: 134/3 = 45: Total: 134+45=
<gadget id="calculator">134+45</gadget>
<output>179</output>
179 3rd year: 179/3= 60: Total: 179+60=
<gadget id="calculator">179+60</gadget>
<output>239</output>
239 4th year: 239/3= 80: Total: 239+80=
<gadget id="calculator">239... | A | calc |
aqua_rat__KgbiOxDyTfY6y03t | A glass was filled with 10 ounces of water, and 0.03 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
Select
A) 0.006% B) 0.06% C) 0.6% D) 6% E) 60% | We are given that 0.03 ounces of water evaporated EACH DAY. Furthermore, we know that this process happened over a 20-DAY PERIOD. To calculate the total amount of water that evaporated during this time frame we need to multiply 0.01 by 20. This gives us: 0.03 x 20 = 0.6 ounces Finally, we are asked for “What percen... | D | calc |
ape210k__00041190 | Xiaofang has been reading a storybook for 4 days, 12 pages a day, exactly half of it, and plans to read 4 more pages a day for the rest, how many days will it take to finish it? | <gadget id="calculator">12 + 4</gadget>
<output>16</output>
<gadget id="calculator">4 / 16</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">12 * (1/4)</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__ozWxw1dt7uRsq3IV | On the x-y coordinate plane there is a parabola, y=x(4-x). Which of the following points is in the region that is enclosed by this parabola and the x-axis?
I. (1, 2) II. (2, 5) III. (3, 2)
Answers:
A) I only B) II only C) III only D) I and III E) I, II, and III | Since co-efficient of x^2 is negative, the parabola will be downward facing. So the parabola and the x axis will enclose some points where the y-values of the parabola are positive. When x = 1, y = 3 lies on the parabola, so (1, 2) will be enclosed by the parabola and x axis. When x = 2, y = 4 lies on the parabola,... | D | calc |
aqua_rat__7N4tVdhTAbIXOdZY | The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 32∘, the temperature of Friday was :
Choose the correct choice from the following answers:
A) 40∘ B) 39∘ C) 38∘ D) 30∘ E) None of these | Explanation: M+T+W+Th=(4×38)=152 Monday temperature is 32. So T+W+Th=(152-32)=
<gadget id="calculator">(152-32)</gadget>
<output>120</output>
120 T+W+Th+F=(4×40)=160 F = (160-120)=
<gadget id="calculator">(160-120)</gadget>
<output>40</output>
40∘ Correct Option: 40∘
<result>A</result> | A | calc |
math_qa__XyN2L9zYCdB0voZZ | All factors of a positive integer A are multiplied and the product obtained is A^3. If A is greater than 1, how many factors does A have? Choose the most appropriate option: A) 2 B) 3 C) 5 D) 6 E) 8 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">16 * 3</gadget>
<output>48</output>
<gadget id="calculator">48 / 8</gadget>
<output>6</output>
<result>D</result> | D | calc |
aqua_rat__B7U0f5LB37FAuJ20 | The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is? Pick one:
A) 227 B) 268 C) 245 D) 299 E) 271 | Speed = 45 * 5/18 = 25/2 m/sec. Time = 30 sec Let the length of bridge be x meters. Then, (130 + x)/30 = 25/2 x = 245 m. Answer:245:
<result>C</result> | C | calc |
ape210k__00274958 | The ratio of degrees of an acute angle to a right angle is 2:3, what is the degree of the acute angle. | <gadget id="calculator">90 / 3</gadget>
<output>30</output>
<gadget id="calculator">30 * 2</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
math_qa__L5hOZNd33nsY6jC1 | Average of 10 matches is 34, How many runs one should should score to increase his average by 4 runs. Choose one:
A) 70 B) 76 C) 78 D) 80 E) 88 | <gadget id="calculator">34 + 4</gadget>
<output>38</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">38 * 11</gadget>
<output>418</output>
<gadget id="calculator">10 * 34</gadget>
<output>340</output>
<gadget id="calculator">418 - 340</gadget>
<output>78</output>
<result>... | C | calc |
ape210k__00456522 | A football is 42.80 yuan, and a basketball is 52.90 yuan. How much is it cheaper to buy a soccer ball than a basketball? | <gadget id="calculator">52.9 - 42.8</gadget>
<output>10.1</output>
<result>10.1</result> | 10.1 | calc |
ape210k__00633673 | A road has been built for 87.5 kilometers, and the rest is 1.6 times the length of the road. How long is this road in kilometers? | <gadget id="calculator">1.6 + 1</gadget>
<output>2.6</output>
<gadget id="calculator">87.5 * 2.6</gadget>
<output>227.5</output>
<result>227.5</result> | 227.5 | calc |
ape210k__00354605 | The side length of a cube is 0.4 meters, what is the surface area of the cube in square meters? | <gadget id="calculator">0.4 * 0.4 * 6</gadget>
<output>0.96</output>
<result>0.96</result> | 0.96 | calc |
ape210k__00330840 | In a division formula, the divisor is 9, the quotient is 107, and the remainder is 5. Find the dividend? | <gadget id="calculator">107 * 9</gadget>
<output>963</output>
<gadget id="calculator">963 + 5</gadget>
<output>968</output>
<result>968</result> | 968 | calc |
ape210k__00555059 | A cylinder has a base radius of 5dm and a height of 10dm, what is the surface area of the cylinder in dm**2. | <gadget id="calculator">3.14 * 5 * 2 * 10</gadget>
<output>314</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3.14 * 25 * 2</gadget>
<output>157</output>
<gadget id="calculator">314 + 157</gadget>
<output>471</output>
<result>471</result> | 471 | calc |
ape210k__00238344 | What is the angle formed by the minute hand and the hour hand at 9:00? | <gadget id="calculator">30 * 3</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__ki7EDZAHxKwTcyGn | If 145% of j is equal to 25% of k, 160% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 40% of m is equal to what percent of 200% of j ? Choose the correct choice from the following choices: A) 0.35 B) 3.5 C) 35 D) 700 E) 3500 | IMO answer should be 350... consider j=10, then k=50, l=150 and m=350.... 40% of 350, comes out to be 140.... 200% of 10 is 20.... (140*100)/20=700.... Ans : 700
<result>D</result> | D | calc |
ape210k__00171705 | There are 150 students in the sixth grade of the school. The ratio of boys to girls is 8:7. How many boys are there? | <gadget id="calculator">8 + 7</gadget>
<output>15</output>
<gadget id="calculator">8 / 15</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">150 * (8/15)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00005037 | Processing a batch of parts, A alone takes 6 hours to complete, B alone takes 8 hours to complete, and A and B work together for 3 hours, a total of 560 parts are processed. How many parts are there in this batch? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/6) + (1/8)</gadget>
<output>7/24 = around 0.291667</output>
<gadget id="calculator">(7/24) * 3</gadget>
<output>7/8 = around 0.875</outpu... | 640 | calc |
ape210k__00114282 | The distance between A and B is 3.6 kilometers. Two dogs run towards each other from A and B. They run 450 meters and 350 meters per minute respectively. After they ran towards each other for 1 minute, they turned around and ran back for 2 minutes at the same time, then turned around and ran towards each other for 3 mi... | <gadget id="calculator">450 + 350</gadget>
<output>800</output>
<gadget id="calculator">3_600 - 800</gadget>
<output>2_800</output>
<gadget id="calculator">800 * 2</gadget>
<output>1_600</output>
<gadget id="calculator">800 * 3</gadget>
<output>2_400</output>
<gadget id="calculator">1_600 - 2_400</gadget>
<output>-... | 89/2 | calc |
ape210k__00546745 | A truck can transport ore 15 times a day on sunny days, but only 10 times a day on rainy days. It has been shipped for two weeks, a total of 190 times. How many of these days does it rain? | <gadget id="calculator">210 - 190</gadget>
<output>20</output>
<gadget id="calculator">15 - 10</gadget>
<output>5</output>
<gadget id="calculator">20 / 5</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__xpDhrC5g1mirRDiU | If x ≠ 0 and x - (2- x^2)/x = y/x, then y = Choose one.
A) − 2 − 3x^2 B) x^2 − 2 C) 2x^2 − 2 D) x − 2 − x^2 E) x − 2 + x^2 | We're told that x ≠ 0 and x - (2- x^2)/x = y/x. We're asked for the value of y. IF.... X = 3 3 - (2 - 3^2)/3 = y/3 9/3 - (-7/3) = y/3 Multiply everything by 3.... 9 - (-7)=
<gadget id="calculator">9 - (-7)</gadget>
<output>16</output>
y 16= y So we're looking for an answer that equals 16 when x = 3... ... | C | calc |
ape210k__01211527 | In the ratio, the product of two outer terms is 1, one inner term is 0.4, and the other inner term is what. | <gadget id="calculator">1 / 0.4</gadget>
<output>2.5</output>
<result>2.5</result> | 2.5 | calc |
aqua_rat__roMbdM44kbVxUPnX | From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? Choose the correct choice from the following.
A) 624
B) 702
C) 756
D) 812
E) 832 | Total men are 7 Total women are 6 so we select 5 peoples in both and at least 3 are men 7c3*6c2+7c4*6c1+7c5*6c0 then we get the 756 ANSWER:756
<result>C</result> | C | calc |
ape210k__00781097 | 240 points = how much time. | <gadget id="calculator">240 / 60</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__01194803 | A truck compartment is 20m long, 3m wide, and 2.5m high when measured from the inside. The average cargo weight per cubic meter is 2 tons. How many trucks? | <gadget id="calculator">300 / 15</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00978191 | Dahua Shopping Center sells a down jacket. The original price was 490 yuan per piece, but the current price is cheaper than before (1/7). How much is the price of each piece of this down jacket now? | <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">490 * (6/7)</gadget>
<output>420</output>
<result>420</result> | 420 | calc |
math_qa__BfMBFvXbZjddnAjw | If Sharon's weekly salary increased by 10 percent, she would earn $330 per week. If instead, her weekly salary were to increase by 8 percent, how much would she earn per week?
Choose the most appropriate option:
A) rs . 424
B) rs . 524
C) rs . 324
D) rs . 350
E) rs . 354 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">330 / (11/10)</gadget>
<output>300</output>
<gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="ca... | C | calc |
ape210k__00530801 | A store buys 800 ballpoint pens with a cost of 0.6 yuan each, and sets the price at a profit of 50%. After selling 80%, the rest is sold at 30% off the selling price. How much profit does the store make in total? | <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">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">800 * (4/5)</gadget>
<output>640</output>
<gadget id="calculato... | 196.8 | calc |
ape210k__00066412 | There are 42 students in a class who are going on an outing. They plan to buy mineral water at 2.00 yuan per person and food at 5.00 yuan per person. How much will the whole class spend on these two things? | <gadget id="calculator">2 + 5</gadget>
<output>7</output>
<gadget id="calculator">7 * 42</gadget>
<output>294</output>
<result>294</result> | 294 | calc |
ape210k__00611064 | The price of each "Story King" is 5.5 yuan, and the price of each "Fairy Tale" is 3.8 yuan. How much is each "Fairy Tale" cheaper than "Story King" | <gadget id="calculator">5.5 - 3.8</gadget>
<output>1.7</output>
<result>1.7</result> | 1.7 | calc |
aqua_rat__66aziJBswJ3AmfTF | What will be the output of the following code statements?
Integer a = 12, b = 45, c = 6 print (a × b / c) – c Choose the most appropriate option
A) 65 B) 84 C) 29 D) 26 E) 81 | Explanation: Apply 84ODMAS rule 12 × 45 = 540/6-6 =90 –6 =84 Answer:84
<result>B</result> | B | calc |
math_qa__flBO00fd5GLA7ILb | By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time? Choose the correct choice from the following:
A) 20 kmph B) 17 kmph C) 15 kmph D) 14 ... | <gadget id="calculator">40 * 3</gadget>
<output>120</output>
<gadget id="calculator">120 * 2</gadget>
<output>240</output>
<gadget id="calculator">240 / 3</gadget>
<output>80</output>
<gadget id="calculator">120 - 80</gadget>
<output>40</output>
<gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id=... | A | calc |
ape210k__00107103 | 1+2+3+4+5+6+7+...+99=how much. | <gadget id="calculator">99 + 1</gadget>
<output>100</output>
<gadget id="calculator">99 / 2</gadget>
<output>99/2 = around 49.5</output>
<gadget id="calculator">100 * (99/2)</gadget>
<output>4_950</output>
<result>4_950</result> | 4_950 | calc |
ape210k__00330077 | There were originally 520 students in the fourth grade of Hope Primary School. This semester, 38 students were transferred, and 49 students were transferred. How many people do you hope there are in the fourth grade of elementary school now? | <gadget id="calculator">520 - 38</gadget>
<output>482</output>
<gadget id="calculator">482 + 49</gadget>
<output>531</output>
<result>531</result> | 531 | calc |
ape210k__01162447 | The first workshop of a children's clothing factory produces 489 pieces of children's clothing, and the second workshop produces 479 pieces of children's clothing. Each 8 pieces are packed in a box. How many boxes should be packed in total? | <gadget id="calculator">489 + 479</gadget>
<output>968</output>
<gadget id="calculator">968 / 8</gadget>
<output>121</output>
<result>121</result> | 121 | calc |
ape210k__00644481 | a/b=3/5 can also be written as a/b=((())/5) (a, b are natural numbers) | <result>3</result> | 3 | calc |
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