id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00349814 | 50 students went to visit, 1.2 yuan per person by tram, 4 yuan per person by minibus, 6 yuan per person by subway. These students shared the fare of 110 yuan. How many of them took the minibus? | <gadget id="calculator">50 - 35</gadget>
<output>15</output>
<gadget id="calculator">6 * 15</gadget>
<output>90</output>
<gadget id="calculator">1.2 * 35</gadget>
<output>42</output>
<gadget id="calculator">110 - 42</gadget>
<output>68</output>
<gadget id="calculator">90 - 68</gadget>
<output>22</output>
<gadget i... | 11 | calc |
ape210k__00471116 | 338 is how many times 13. | <gadget id="calculator">338 / 13</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
ape210k__00408057 | A cylindrical glass with a volume of 800 cubic centimeters. The ratio of the height of the water to the height above the water is 1:1. After putting it into a cone (the cone is completely submerged in water), the ratio of the height of the water to the height above the water is 3: 2. What is the volume of the cone in c... | <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">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/5) - (1/2)</gadget>
<output... | 80 | calc |
ape210k__00608742 | What is the area of a square surrounded by a wire 240 meters long? | <gadget id="calculator">240 / 4</gadget>
<output>60</output>
<gadget id="calculator">60 * 60</gadget>
<output>3_600</output>
<result>3_600</result> | 3_600 | calc |
ape210k__00919287 | Use a pan to pancake, only two can be placed at a time, and it takes 6 minutes to fry one pancake. It is stipulated that the front and back sides of each pancake need 3 minutes. Ask how many minutes it takes to cook 3 pancakes. | <gadget id="calculator">3 + 3 + 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__01093185 | Fuxing Supermarket sold 50 boxes of fruit oranges on October 1, 24 bottles per box, at 2.5 yuan per bottle. How much is the income of Fuxing Supermarket selling fruit oranges on this day? | <gadget id="calculator">50 * 24 * 2.5</gadget>
<output>3_000</output>
<result>3_000</result> | 3_000 | calc |
aqua_rat__ztBgT224PgAbZUpC | Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choose the correct choice.
A) 288 B) 150 C) 77 D) 166 E) 1812 | 1/2 * 20(9 + 6) = 150 cm2 Answer: 150
<result>B</result> | B | calc |
ape210k__00190732 | A cuboid is 2 meters long, 2 decimeters wide and 2 decimeters high, if it is sawed into 3 sections, the surface area will be increased by at least how many square decimeters. | <gadget id="calculator">2 * 2 * 4</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__01002883 | There are 6 people sitting at one table, 10 people sitting at two tables, and 14 people sitting at three tables... In this way, how many people can sit at 7 tables in a row? | <gadget id="calculator">4 * 7</gadget>
<output>28</output>
<gadget id="calculator">28 + 2</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00059395 | There is a circular flower bed on campus with a circumference of 50.24 meters. Reserve (3/8) area to cultivate flower seedlings in it, how many square meters is the area for cultivating flower seedlings? | <gadget id="calculator">50.24 / 3.14 / 2</gadget>
<output>8</output>
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">3.14 * 64 * (3/8)</gadget>
<output>75.36</output>
<result>75.36</result> | 75.36 | calc |
ape210k__00516883 | The original price of a rice cooker is 200 yuan, but the current price is 160 yuan. How much is the price cut? | <gadget id="calculator">200 - 160</gadget>
<output>40</output>
<gadget id="calculator">40 / 200</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
aqua_rat__D2CDY3P8BTtZAVqE | The average age of 3 boys is 15 years and their ages are in the proportion 1:2:3. The age of the youngest boy is?
Pick one:
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 7.5 years | Total age of 3 boys = 15*3=
<gadget id="calculator">15*3</gadget>
<output>45</output>
45 ratio of their ages= 1:2:3 Age of the youngest = 45*1/6=
<gadget id="calculator">45*1/6</gadget>
<output>15/2 = around 7.5</output>
7.5 years Answer is 7.5 years
<result>E</result> | E | calc |
aqua_rat__erwGfmf7ymr3Smeq | Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 4 times his original investment. What is the value of n?
Choose the correct choice from the following answers:
A) 50 years B) 25 years C) 12 years 6 months D) 37 years 6 months E) 40 years | Explanatory Answer Let us say Braun invested $100. Then, at the end of 'n' years he would have got back $400. Therefore, the Simple Interest earned = 400 - 100=
<gadget id="calculator">400 - 100</gadget>
<output>300</output>
$300. We know that Simple Interest= (Principal * number of years * rate of interest) /... | D | calc |
ape210k__00404995 | Xiaoming's family has 160 apple trees. Last year, each tree harvested an average of 45 kilograms of apples. This year, each tree is expected to harvest 15 kilograms more than last year. How many kilograms of apples are expected to be harvested this year? | <gadget id="calculator">45 + 15</gadget>
<output>60</output>
<gadget id="calculator">60 * 160</gadget>
<output>9_600</output>
<result>9_600</result> | 9_600 | calc |
ape210k__00197013 | Calculation: (((2**2+4**2+…+100**2)-(1**2+3**2+…+99**2))/(1+2+…+ 10+9+...+1))=how many. | <gadget id="calculator">3 + 199</gadget>
<output>202</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">202 * 25</gadget>
<output>5_050</output>
<gadget id="calculator">5_050 / 100</gadget>
<output>101/2 = around 50.5</output>
<result>101/2 = around 50.5</result> | 101/2 | calc |
ape210k__01003161 | The distance between Beijing and Ningbo is 1120 kilometers. A train departs from Beijing at 7:00 in the morning and arrives in Ningbo at 9:00 in the evening. How many kilometers does the train travel per hour? | <gadget id="calculator">21 - 7</gadget>
<output>14</output>
<gadget id="calculator">1_120 / 14</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00037648 | The fruit shop shipped 1500 kilograms of apples, and the pears shipped were from apples (3/5), and the pears were from peaches (3/4). How many kilograms of peaches are there? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/5) / (3/4)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1_500 * (4/5)</gadget>
<output>1_200</output>
<result>1_200</res... | 1_200 | calc |
ape210k__00045526 | For the Dragon Boat Festival, the cafeteria specially made 180 Zongzi, one bag for every two bags, and one box for every three bags. How many boxes can these brownies hold? | <gadget id="calculator">180 / 2 / 3</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00489305 | What is the sum of the reciprocal of 2 and (1/3). | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/2) + (1/3)</gadget>
<output>5/6 = around 0.833333</output>
<result>5/6 = around 0.833333</result> | 5/6 | calc |
ape210k__00779579 | Use 36 squares with a side length of 1 cm to form a large square. What is the area of the large square in square centimeters? | <gadget id="calculator">1 * 1 * 36</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__ErQYvuSVeZUSv5AM | Two letters from the word FARTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?
Two letters from the word FARTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?
Pick one.
A) A)1/500 B) B)1/28 C) C)27... | There are 6 consonants and 2 vowels in FARTHING. probability that at least one of the selected letters is a consonant = 1 - (Probability of both vowels) Probability of both vowels = 227/282/827/282 = 1/28 So, Answer is 1 - 1/28 = 27/28 ------> 27/28.
<result>C</result> | C | calc |
ape210k__00403188 | 8 tiles are needed to pave each square meter of floor, and to pave a rectangular floor with a length of 12 meters and a width of 8, how many tiles are needed in total? | <gadget id="calculator">12 * 8 * 8</gadget>
<output>768</output>
<result>768</result> | 768 | calc |
ape210k__00223791 | The area of a parallelogram is 10 square meters, if the base and height are doubled, what is its area? | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">10 * 4</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
math_qa__V19OQA8aX6Li7SX3 | Aarti can do a piece of work in 8 days. In how many days will she complete three time of work of same type? Choose the correct choice from the following answers.
A) 6 days B) 19 days C) 24 days D) 3 days E) 13 days | <gadget id="calculator">3 * 8</gadget>
<output>24</output>
<result>C</result> | C | calc |
ape210k__00021051 | After the length and width of a rectangle are increased by 3cm, the area increases by 75cm**2. What is the original circumference in cm. | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">75 - 9</gadget>
<output>66</output>
<gadget id="calculator">66 / 3</gadget>
<output>22</output>
<gadget id="calculator">22 * 2</gadget>
<output>44</output>
<result>44</result> | 44 | calc |
ape210k__00199654 | Xiao Ming is carrying a schoolbag and weighs 30 kg, and the school bag is 2 kg. What is Xiao Ming's actual weight? | <gadget id="calculator">30 - 2</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00667933 | There is a newly dug canal, the cross section is trapezoidal, its area is 2.52 square meters, the mouth of the canal is 2.8 meters wide, and the bottom of the canal is 1.4 meters wide. How deep is the canal? (solution by equation) | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2.8 * (1/2)</gadget>
<output>1.4</output>
<gadget id="calculator">1.4 * (1/2)</gadget>
<output>0.7</output>
<gadget id="calculator">1.4 + 0.7</gadget>
<output>2.1</output>
<gadget id="calculator">2.52 / 2.1</gadget>
<ou... | 1.2 | calc |
ape210k__00550912 | If a 4-meter-long cylindrical stick is sawn into three pieces, the surface area increases by 12 square decimeters. What is the original volume of the cylindrical wooden stick? | <gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">3 * 4 * 10</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00225465 | sees A and B are solving the following equations: \begin{cases}\begin{array}\\ x+ y=2536\\x+y=704\end{array}\end{cases }, where the coefficients in front of the unknown are covered by A and B. A calculates that the solution of the equation is x=7, y=3; while B mistakenly regards "2536" as "1536", the solution obtained ... | <result>38</result> | 38 | calc |
aqua_rat__c55p7OYaiqAmRhIv | The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? Choices: A) Rs. 2400 B) Rs. 2200 C) Rs. 2300 D) Rs. 2500 E) Rs. 2600 | Let the price of a saree and a shirt be Rs. x and Rs. y respectively. Then, 2x + 4y = 1600 .... (i) and x + 6y = 1600 .... (ii) Divide equation (i) by 2, we get the below equation. => x + 2y = 800. --- (iii) Now subtract (iii) from (ii) x + 6y = 1600 (-) x + 2y = 800 ---------------- 4y = 800 ---... | A | calc |
ape210k__00350799 | Dad saves 450 yuan a month. After 6 months, mother's savings are 200 yuan more than dad's. How much is the total savings of the two? | <gadget id="calculator">450 * 6 * 2</gadget>
<output>5_400</output>
<gadget id="calculator">5_400 + 200</gadget>
<output>5_600</output>
<result>5_600</result> | 5_600 | calc |
ape210k__00644329 | The fractional unit of a fraction is (1/3), and the fractional unit of its reciprocal is (1/10). When this fraction is multiplied by (1/10), what is the product | <gadget id="calculator">10 / 3</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(10/3) * (1/10)</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
aqua_rat__xLtgEpodpn1ac6Li | A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $60 to incur a loss 20%? Pick
A) 30 B) 36 C) 40 D) 50 E) 48 | Production cost per article: $60*(100%-20%) / 20 = $2.40 Required production costs for a loss of 20%: $60*(100% + 20%) = $72 Number of articles to be sold for $72 to incur a 20% loss: $72 / $2.40 = 30 Thus, solution 30 is correct.72 / 2.40=
<gadget id="calculator">72 / 2.40</gadget>
<output>30</output>
30 Th... | A | calc |
ape210k__00001464 | 4 people shake hands once in pairs, how many handshakes are needed in total? | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">4 * (3/2)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00084821 | In the "Young Nobel" defense activity in the school's home laboratory, the fifth grade participated in three groups, the ratio of the first group to the second group was 5:4, and the ratio of the second group to the third group was 3:2 , and the first group is 30 less than the sum of the second and third groups, how ma... | <gadget id="calculator">12 + 8</gadget>
<output>20</output>
<gadget id="calculator">15 + 12 + 8</gadget>
<output>35</output>
<gadget id="calculator">20 / 35</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">15 / 35</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">(4/7) -... | 210 | calc |
ape210k__00626999 | calculator designed by Xiao Ming has only one function key, press the first time to subtract 19, press the second time to add 17, press the third time to subtract 19, and the fourth time to add 17,..., now input the first A number is 20, please press the function key continuously, at least after the number of times the... | <gadget id="calculator">20 - 19</gadget>
<output>1</output>
<gadget id="calculator">19 - 17</gadget>
<output>2</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 2</gadget>
<output>1</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<r... | 2 | calc |
aqua_rat__URrGCv3irqEbxaQP | The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 47. Then find the average for the last four matches? Choose the correct choice from the following choices.
A) 33.25
B) 33.5
C) 34.25
D) 35
E) 26.75 | Solution Required average =(38.9 x 10)-(47 x 6)/ 4 = 107 / 4.=
<gadget id="calculator">107 / 4.</gadget>
<output>26.75</output>
26.75 Answer 26.75
<result>E</result> | E | calc |
ape210k__00819661 | The time on the clock face is 12 o'clock, if the hour hand is rotated 120° clockwise around the center, what time is it? | <gadget id="calculator">120 / 30</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00599088 | A truck and a bus are traveling towards each other from A and B at the same time. The truck travels 48 kilometers per hour, and the bus travels 42 kilometers per hour. The two vehicles meet at a distance of 30 kilometers from the midpoint. What is the distance in kilometers between A and B? ? | <gadget id="calculator">48 + 42</gadget>
<output>90</output>
<gadget id="calculator">48 - 42</gadget>
<output>6</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">30 * (1/3)</gadget>
<output>10</output>
<gadget id="calculator">90 * 10</gadget>
<output>900<... | 900 | calc |
ape210k__01031453 | Divide 135 apples into several parts and the number of apples in any two parts is different. What is the maximum number of parts that can be divided. | <gadget id="calculator">135 - 120</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00152593 | and B work together to process a batch of parts, and the task can be completed in 8 hours. If A is processed alone, it will take 12 hours to complete. Now A and B have worked together for 2.4 hours, A is called out to do other work, and B continues to produce 420 parts to complete the task. How many parts does B proces... | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">2.4 * (1/8)</gadget>
<output>0.3</output>
<gadget id="calculator">1 - 0.3</gadget>
<output>0.7</output>
<gadget id="calculator">420 / 0.7</gadget>
<output>600</output>
<gadget id="calculator">50 * 2.4</gadget>
<output... | 480 | calc |
ape210k__00631315 | One kilogram of soybeans contains (4/5) kilograms of oil, and (5/8) kilograms, how many kilograms of oil does such soybeans contain. | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">(4/5) * (5/8)</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00643513 | There are 300 kilograms of apples in the store, and there are a kilograms of apples in each basket. After selling 8 baskets, how many kilograms are left. | <gadget id="calculator">300 - 8</gadget>
<output>292</output>
<result>292</result> | 292 | calc |
gsm8k__Tz0cFCBPiLEOtdqi | Nikola is saving up for a bag of ant food before he can start his ant farm. He wants 400 ants in his farm. Each ant needs 2 ounces of food. Every ounce of ant food costs $.1. Nikola is saving up by raking leaves. He charges $5 to start a job and then he charges by the leaf. Each leaf he rakes costs 1 penny. He finally ... | The ants will need 800 ounces of food because 400 x 2 =
<gadget id="calculator">400*2</gadget>
<output>800</output>
800.
The ant food will cost $80 because 800 x .1 =
<gadget id="calculator">800*.1</gadget>
<output>80</output>
80.
He has earned $60 from the leaves he has raked because 6000 leaves * $0.01/leaf = $
<ga... | 4 | calc |
ape210k__00192804 | The number of A is (1/3) of the total number of B and C, the number of C is (1/4) of the total number of A and B, and the number of B accounts for 〔〕% of the total number of A, B and C. | <result>55</result> | 55 | calc |
ape210k__00591917 | Pour 10 liters of water into a cuboid tank with a length of 2.5 decimeters, a width of 2 decimeters, and a height of 6 decimeters. How many decimeters is the height of the water surface from the mouth of the container at this time? | <gadget id="calculator">2.5 * 2</gadget>
<output>5</output>
<gadget id="calculator">10 / 5</gadget>
<output>2</output>
<gadget id="calculator">6 - 2</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00117657 | Two cars, A and B, leave from places A and B at the same time. It takes 5 hours for car A to reach point B, and 6 hours for car B to reach point A. It is known that car A traveled 120 kilometers when they met, how many kilometers did car B travel when they met? | <gadget id="calculator">120 / 6</gadget>
<output>20</output>
<gadget id="calculator">20 * 5</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00027850 | A pile of goods needs to be transported by 25 vehicles, and it needs to be transported in 6 times. If it needs to be transported in 5 times, how many vehicles are needed? | <gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">25 * (6/5)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00489706 | The difference between the denominator and the numerator of a fraction is equal to 12. After dividing, we get (3/5). Find the original fraction. | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">6 * 5</gadget>
<output>30</output>
<gadget id="calculator">3 / 30</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">6 * (1/10)</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
ape210k__00169948 | The school library subscribes to 83 kinds of science and technology books and fairy tale books, including 38 kinds of science and technology books. How many fewer subscriptions are science books than fairy tale books? | <gadget id="calculator">83 - 38 - 38</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
aqua_rat__4NGGnQrTAGZC7mDT | Trapezoid ABCD has AB parallel to CD, with \ADC = 90o. Given that AD = 5, BC = 13
and DC = 18, compute the area of the trapezoid. Pick:
A) 30 B) 40 C) 50 D) 60 E) 70 | The trapezoid can be divided into a right triangle with legs of length 5 and 12, and a rectangle with side lengths 5 and 6. This gives an area of 60 . correct answer 60
<result>D</result> | D | calc |
aqua_rat__d4Sp4LxZQTIH6Feg | A train met with an accident 70km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?
Choose the correct choice from the follow... | let the original speed be 6x. A/q, traveling 70 km at 5/6th of original speed costs him 12 minutes etc 70/5x =70/6x +12/70 -> x =10 , 7x= 70. Ans 70 km/hr
<result>D</result> | D | calc |
ape210k__01115331 | The fruit store shipped 150 kilograms of apples, but the number of pears shipped was 20% less than that of apples. How many kilograms of pears were shipped? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">150 * (4/5)</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00524133 | On a map with a scale of 1:4,000,000, the distance between ports A and B is 9 cm. A freighter sails from port A to port B at a speed of 30 kilometers per hour at 6 am. The time to arrive at port B is how long | <gadget id="calculator">1 / 4_000_000</gadget>
<output>1/4_000_000 = around 0</output>
<gadget id="calculator">9 / (1/4_000_000) / 100_000 / 30</gadget>
<output>12</output>
<gadget id="calculator">6 + 12</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00544223 | The length and width of a glass jar are both 10 cm. Put a tomato into the glass jar filled with water. The depth of the water rises from the original 8 cm to the height of 10 cm. What is the volume of this tomato? | <gadget id="calculator">10 - 8</gadget>
<output>2</output>
<gadget id="calculator">10 * 10 * 2</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__01185241 | If the annual interest rate of the two-year time deposit is 2.52%, and 5% interest tax is required when it matures, Xiao Ming’s father deposited 1,000 yuan for a two-year time deposit on March 5 this year. | <gadget id="calculator">2.52 / 100</gadget>
<output>0.0252</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">1_000 * 0.0252 * 2 * (19/20)</gadget>
<output>47.88</output>
<gadg... | 1_047.88 | calc |
aqua_rat__uYvtRThoLb74rxKw | The perimeter of a triangle is 42 cm and the inradius of the triangle is 5.0 cm. What is the area of the triangle? Answers:
A) 128 cm2 B) 36.0 cm2 C) 105 cm2 D) 25 cm2 E) 135 cm2 | Area of a triangle = r * s Where r is the inradius and s is the semi perimeter of the triangle. Area of triangle = 5.0 * 42/2=
<gadget id="calculator">5.0 * 42/2</gadget>
<output>105</output>
105 cm2 Answer: 105 cm2
<result>C</result> | C | calc |
ape210k__00401933 | The distance between the two cities is 1320 kilometers. Cars A and B drive from opposite directions at the same time and meet each other 6 hours later. It is known that the speed ratio of cars A and B is 7:4, what is the speed of car A? | <gadget id="calculator">1_320 / 6</gadget>
<output>220</output>
<gadget id="calculator">7 + 4</gadget>
<output>11</output>
<gadget id="calculator">7 / 11</gadget>
<output>7/11 = around 0.636364</output>
<gadget id="calculator">220 * (7/11)</gadget>
<output>140</output>
<result>140</result> | 140 | calc |
ape210k__00523140 | batch of parts can be completed by A and B in 12 days of cooperation. After a few days of cooperation, B asks for leave due to something, and B only completes (3/10) of the total task at this time. A continued to work, and it took 14 days from the beginning to the completion of the task. How many days did A and B coope... | <gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 - (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/10) / 14</gadget>
<output>1/20 = around 0.05</output>
<... | 9 | calc |
aqua_rat__93P0RZVkS2IQ25VZ | The average age of boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
Pick:
A) 15 years B) 15.5 years C) 16 years D) 17 years E) Cannot be computed | Clearly, to find the average,we ought to know the numbers of boys , girls or students in the class, neither of which has been given. so the data provided is inadequate. ANSWCannot be computedR:Cannot be computed
<result>E</result> | E | calc |
aqua_rat__yGf27RLznPKi9Bnu | Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph,
he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1
P.M.? Choose the correct answer: A) 9 km/hour B) 10 km/hour C) 11 km/hour D) 12 km/hour E) None of these | Explanation: We need to calculate the distance, then we can calculate the Ɵme and finally our answer. Lets solve this, Let the distance travelled by x km Time = Distance/Speed x10−x15=2[because, 2 pm - 12 noon = 2 hours]3x−2x=60x=60.Time=DistanceSpeedTime@10km/hr=6010=6hours So 2 P.M. - 6 = 8 A.M Robert... | D | calc |
ape210k__00941577 | The sum of the sides of a cuboid is 72 decimeters, and the ratio of length, width, and height is 3:2:1. What is the volume of this cuboid in cubic meters? | <gadget id="calculator">72 / 4</gadget>
<output>18</output>
<gadget id="calculator">3 + 2 + 1</gadget>
<output>6</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">3 / 6</gadget>... | 162 | calc |
ape210k__00436538 | The upper and lower bases of a half cylinder are semicircular. It is known that the height of the cylinder and the diameter of the base are both 2 decimeters. What is its side area in square decimeters? | <gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">3.14 * 2 * 1</gadget>
<output>6.28</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">6.28 + 4</gadget>
<output>10.28</output>
<result>10.28</result> | 10.28 | calc |
aqua_rat__R5RaWaYIoVycrBuN | Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.7 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomas’s current age in years?
Pick:
A) 24 years
B) 44 years
C) 34 years
D) 64 years
E) 84 years | If current ages of Rahim and Thomas be 5A years and 4A years correspondingly Then, 5A + 7 = 11 4A + 7 = 9 9(5A + 7)=11(4A + 7) A = 14 Thomas’s current age = 4A = 64 years. 64 years
<result>D</result> | D | calc |
ape210k__00076191 | The upper base of a trapezoid is 12 decimeters, the lower base is 48 decimeters, and the height is half of the sum of the upper and lower bases. What is the area of the trapezoid in square decimeters? | <gadget id="calculator">12 + 48</gadget>
<output>60</output>
<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">60 * 15</gadget>
<output>900</output>
<result>900</result> | 900 | calc |
ape210k__00546621 | It is the duty of every citizen to pay taxes according to law. Uncle Zhang’s total salary last month was 3,800 yuan. According to the relevant regulations on personal income tax, the part exceeding 3,500 yuan is subject to 3% personal income tax. So how much personal income tax should Mr. Zhang pay last month? | <gadget id="calculator">3_800 - 3_500</gadget>
<output>300</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">300 * (1/20)</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00695589 | Mom and Dad take Xiao Ling and her two classmates to go to the park. Adult tickets are 5 yuan each, and children tickets are 2.5 yuan each. How much is the total ticket price? | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">2.5 * 3</gadget>
<output>7.5</output>
<gadget id="calculator">10 + 7.5</gadget>
<output>17.5</output>
<result>17.5</result> | 17.5 | calc |
ape210k__00660529 | If the area of a rectangle increases by 12.5%, if its length decreases by (1/10), then its width should increase by ((())/(())). | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
aqua_rat__cW4oyt01Bjh9GrrQ | L is a positive integer and 225 and 216 are both divisors of L. If L=(2^a)*(3^b)*(5^c), where a, b and c are positive integers, what is the least possible value of a+ b+ c? Choose the correct answer: A) 4 B) 5 C) 6 D) 8 E) 7 | Lets make factorization of 225 and 216 .. 225 = 5 X 5 X 3 X 3 X 3 216 = 2 X 2 X 2 X 3 X 3 X 3 L would have to have 3 two's , 225 has 3 threes and and so does 216 but they can be the same three threes so we count them only once ... 225 has 2 fives ... So we had them together and we get 3 + 3 + 2=
<gadget id="calc... | D | calc |
gsm8k__ka2LbOxOAiSbLFCq | A normal lemon tree produces 60 lemons per year. Jim has specially engineered lemon trees that produce 50% more lemons per year. He has a grove that is 50 trees by 30 trees. How many lemons does he produce in 5 years? | Each tree produces 60*.5=
<gadget id="calculator">60*.5</gadget>
<output>30</output>
30 more lemons than normal.
So they each produce 60+30=
<gadget id="calculator">60+30</gadget>
<output>90</output>
90 lemons.
He has 50*30=
<gadget id="calculator">50*30</gadget>
<output>1_500</output>
1500 trees.
So every year he prod... | 675_000 | calc |
aqua_rat__H2u4tXKqpdm4se0P | If x and y are positive integers, which of the following CANNOT be the greatest common divisor of 45x and 20y? Choose the correct choice from the following
A) 5
B) 5(x-y)
C) 20x
D) 20y
E) 35x | We are looking for a choice that CANNOT be the greatest common divisor of 45x and 20y ...which means 45x and 20y when divided by the answer choice the quotient should not be a integer. lets check a. 5 45x/5 = 9x and 20y/5 = 4y both are integers so eliminate b. 5(x-y) when x 20 /5=
<gadget id="calculator">20 /5</... | C | calc |
math_qa__Wj6ldsSFLvjELbEF | If a: b :: 3 : 7, then what is (5a+6b): (a-2b)?
Choose the correct choice from the following answers: A) 57 : 11 B) - 57 : 11 C) 11 : 10 D) - 11 : 10 E) - 1 : 10 | <gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">7 * 6</gadget>
<output>42</output>
<gadget id="calculator">15 + 42</gadget>
<output>57</output>
<gadget id="calculator">2 * 7</gadget>
<output>14</output>
<gadget id="calculator">3 - 14</gadget>
<output>-11</output>
<gadget id="calc... | B | calc |
aqua_rat__Itf1HUUxuZydsVYQ | An urn contains 15 black and 5 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black? Pick: A) 1/5 B) 3/7 C) 2/5 D) 3/5 E) 21/38 | Let E and F denote respectively the events that first and second ball drawn are black. We have to find P(E n F) or P (EF). Now P(E) = P (black ball in first draw) = 15/20 Also given that the first ball drawn is black, i.e., event E has occurred, now there are 14 black balls and five white balls left in the urn. T... | E | calc |
ape210k__01113887 | The germination rate of a certain kind of flower in Dijiao Park is 80%. To cultivate 600 flower seedlings, how many seeds need to be sown. | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">600 / (4/5)</gadget>
<output>750</output>
<result>750</result> | 750 | calc |
ape210k__01091501 | Now the cost of each piece of clothing is 20% lower than in the past, and now the cost of each piece of clothing is how much it used to be. | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<result>4/5 = around 0.8</result> | 4/5 | calc |
ape210k__00176093 | The purchase price of a commodity is 1,500 yuan. When the commodity is sold at a discount of 10% off the price, the profit rate (the ratio of the profit of the commodity to the purchase price) is 20%. Find the price of the commodity. | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1_500 * (1/5)</gadget>
<output>300</output>
<gadget id="calculator">1_500 + 300</gadget>
<output>1_800</output>
<gadget id="calculator">1_800 / 0.9</gadget>
<output>2_000</output>
<result>2_000</result> | 2_000 | calc |
ape210k__00045426 | Cars A and B start from two cities at the same time and drive towards each other. The distance between the two cities is 162 kilometers. Car A travels 48 kilometers per hour. The speed of car B is 1.25 times that of car A. How long does it take for the two cars to meet? | <gadget id="calculator">48 * 1.25</gadget>
<output>60</output>
<gadget id="calculator">60 + 48</gadget>
<output>108</output>
<gadget id="calculator">162 / 108</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | calc |
aqua_rat__QeVWTO2zFXf4wH4h | nine baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around ... | it is like a circular arrangement. total ways for n people to arrange in a circle is = factorial (n-1) in this case n= 9 hence ans = 8 factorial = 40320 hence 40320
<result>A</result> | A | calc |
aqua_rat__t3zZLZ2fomFpL3re | In 10 years, P will be as old as Q is now. Ten years ago, Q was three times as old as P was then. How old is P now?
Options:
A) 11
B) 12
C) 15
D) 18
E) 21 | Q = P+10 Q-10 = 3(P-10) P = 3P-30 2P = 30 P = 15 The answer is 15.
<result>C</result> | C | calc |
ape210k__00170532 | The traffic lights at an intersection change from green, yellow, and red in sequence. It takes 40 seconds from green light to yellow light, 2 seconds from yellow light to red light, and 48 seconds from red light to green light. If from 9:45 to 10:15, how many times did the signal light change? | <gadget id="calculator">40 + 2 + 48</gadget>
<output>90</output>
<gadget id="calculator">1_800 / 90</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00865291 | If 20 is represented as the sum of several different odd numbers, then how many different representation methods are there? (The addends are the same, but the order of addition is different, and they are counted as the same representation. For example, 1+19 and 19+1 are counted as the same representation.) | <result>7</result> | 7 | calc |
ape210k__00048060 | The school bought football and basketball for a total of 1680 yuan. Among them, 15 basketballs were bought at 68 yuan each, and 12 footballs were bought. How much is each? (Solution of column equation) | <gadget id="calculator">68 * 15</gadget>
<output>1_020</output>
<gadget id="calculator">1_680 - 1_020</gadget>
<output>660</output>
<gadget id="calculator">660 / 12</gadget>
<output>55</output>
<result>55</result> | 55 | calc |
ape210k__01181951 | Farmers apply chemical fertilizers to wheat. A total of 675 kg of chemical fertilizers are applied to a rectangular wheat field with a length of 200 meters and a width of 150 meters. How many kilograms of chemical fertilizers are applied on average per hectare? | <gadget id="calculator">150 / 10_000</gadget>
<output>3/200 = around 0.015</output>
<gadget id="calculator">200 * (3/200)</gadget>
<output>3</output>
<gadget id="calculator">675 / 3</gadget>
<output>225</output>
<result>225</result> | 225 | calc |
aqua_rat__wq0ToKGFLI0tFrwe | a person travels from his house to office from 09:00am to 11:00 am and covers a distence of 13.4km. find the average speed of the person. Choose the correct option.
A) 20.1km/h B) 20.5km/h C) 26.8km/h D) 22.1km/h E) 20.9km/h | time=11:00-09:00=2 hour distance=13.4km speed=13.4*2=
<gadget id="calculator">13.4*2</gadget>
<output>26.8</output>
26.8 km/h ANSWER:26.8km/h
<result>C</result> | C | calc |
aqua_rat__Z9nz3TXqd6T96fze | A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed Choose the correct option:
A) 52 kmph
B) 56 kmph
C) 58 kmph
D) 62 kmph
E) 72 kmph | Explanation: Relative speed = 280/9 m / sec = ((280/9)×(18/5)) kmph = 112 kmph. Speed of goods train = (112 - 50)=
<gadget id="calculator">(112 - 50)</gadget>
<output>62</output>
62 kmph Answer: Option 62 kmph
<result>D</result> | D | calc |
ape210k__01090689 | toy factory needs to process 2,500 children's toys, with an average of 180 per day in the first 5 days, and the remaining ones within 8 days. How many per day are the remaining ones processed on average? | <gadget id="calculator">180 * 5</gadget>
<output>900</output>
<gadget id="calculator">2_500 - 900</gadget>
<output>1_600</output>
<gadget id="calculator">1_600 / 8</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
aqua_rat__SqZ8Fz0T77xaETsT | A Jar contains 18 balls. 3 blue balls are removed from the jar and not replaced.Now the probability of getting a blue ball is 1/5 then how many blue balls jar contains initially?
Choose the correct choice from the following answers.
A) 2 B) 3 C) 4 D) 5 E) 6 | x/15 = 1/5 x =3 3+3(removed 3 blue balls) = 6 ANSW6R:6
<result>E</result> | E | calc |
ape210k__00212826 | The area of a parallelogram is 12dm**2, the base is 3dm, and what is the height. | <gadget id="calculator">12 / 3</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
math_qa__ZYhQO8h6IY0bglDA | If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 171 games will be played during the tournament. What is the number of participants? Options
A) 15 B) 16 C) 17 D) 18 E) 19 | <gadget id="calculator">171 * 2</gadget>
<output>342</output>
<gadget id="calculator">342 * 4</gadget>
<output>1_368</output>
<gadget id="calculator">1_368 + 1</gadget>
<output>1_369</output>
<gadget id="calculator">1_369 ** (1/2)</gadget>
<output>37</output>
<gadget id="calculator">37 + 1</gadget>
<output>38</outp... | E | calc |
aqua_rat__tZ0lkS4BTYwwNsvE | A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best... | Explanation : Initial quantity of the rice = x. The first customer buys half the total rice and another half kg. Rice purchased by first customer = (x/2) + (1/2) So, rice left after the first customer =x - (x+1)/2 = (x-1)/2. Now the second customer buys half the left rice and another half kg. Rice purchased... | B | calc |
ape210k__00646137 | path is 47.1 meters long. Guoguo rolls a hoop on the path. The diameter of the hoop is 15 cm. How many times does the hoop have to turn when rolling from one end of the path to the other? | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">3.14 * (3/20)</gadget>
<output>0.471</output>
<gadget id="calculator">47.1 / 0.471</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00418047 | The numerator of (5/7) is multiplied by 4, how much should its denominator be multiplied to keep the fraction size constant. | <result>4</result> | 4 | calc |
math_qa__DEc5iwRM7B44rsgW | A certain school implemented a reading program for its students, with the goal of getting each student to read 3 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
Pick
A) 20 cs B) cs / 2 C) 36 cs D) ( 2 cs ) / 12... | <gadget id="calculator">3 * 12</gadget>
<output>36</output>
<result>C</result> | C | calc |
ape210k__00000821 | Among 3.14, 3.1{_{4}**(•)}, 3.14% and π, what is the smallest number? | <gadget id="calculator">3.14 / 100</gadget>
<output>0.0314</output>
<result>0.0314</result> | 0.0314 | calc |
ape210k__00076074 | What is the result of 25*4+8*125 | <gadget id="calculator">25 * 4</gadget>
<output>100</output>
<gadget id="calculator">8 * 125</gadget>
<output>1_000</output>
<gadget id="calculator">100 + 1_000</gadget>
<output>1_100</output>
<result>1_100</result> | 1_100 | calc |
gsm8k__05SL6eaMLExSwhvr | Elmo has 3 times as many books as his sister, Laura. Laura has twice as many books as her brother, Stu. If Elmo has 24 books, how many books does Stu have? | Laura has 24/3=
<gadget id="calculator">24/3</gadget>
<output>8</output>
8 books.
Stu has 8/2=
<gadget id="calculator">8/2</gadget>
<output>4</output>
4 books.
<result>4</result> | 4 | calc |
aqua_rat__sVPijmfi2E5jG6xs | What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ? Choose the correct choice from the following options.
A) 9800 B) 9600 C) 9400 D) 9500 E) 9200 | Greatest number of four digits = 9999 LCM of 15, 25, 40 and 75 = 600 9999 ÷ 600 = 16, remainder = 399 Hence, greatest number of four digits which is divisible by 15, 25, 40 and 75 = 9999 - 399=
<gadget id="calculator">9999 - 399</gadget>
<output>9_600</output>
9600 answer :9600
<result>B</result> | B | calc |
math_qa__qc0tZeUL1qyq9L5k | If 10 men can reap 120 acres of land in 15 days, how many acres of land can 20 men reap in 30 days? Options
A) 120 B) 240 C) 360 D) 1200 E) 480 | <gadget id="calculator">20 / 10</gadget>
<output>2</output>
<gadget id="calculator">30 / 15</gadget>
<output>2</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">120 * 4</gadget>
<output>480</output>
<result>E</result> | E | calc |
ape210k__00068842 | 125*64*25． | <gadget id="calculator">125 * 64 * 25</gadget>
<output>200_000</output>
<result>200_000</result> | 200_000 | calc |
math_qa__JfQd4dsgKXxIp2fU | A 425 meter long train crosses a platform in 55 seconds while it crosses a signal pole in 40 seconds. What is the length of the platform? Choose the correct choice from the following answers: A) 155.68 B) 160 C) 159.38 D) 180 E) 175 | <gadget id="calculator">425 / 40</gadget>
<output>85/8 = around 10.625</output>
<gadget id="calculator">(85/8) * 55</gadget>
<output>4_675/8 = around 584.375</output>
<gadget id="calculator">(4_675/8) - 425</gadget>
<output>1_275/8 = around 159.375</output>
<result>C</result> | C | calc |
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