id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__LJbZHQ6XB1nuwM6a | Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction? Answers.
A) 228 B) 2767 C) 189 D) 266 E) 211 | CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = Rs. 135 SP = CP[(100 + profit%)/100] = 135 * [(100 + 40)/100] = Rs. 189. Answer: 189
<result>C</result> | C | calc |
aqua_rat__SpQ6S6SMSlFw5FhW | a man owns 1/3 of market reserch beauro buzness,and sells 3/5 of his shares for 2000rs,what is the value of buzness? Choose the correct choice
A) 40000 B) 60000 C) 10000 D) 25000 E) 50000 | If value of business=x Total sell (1x/3)(3/5)=2000 ->x=10000 ANSWER:10000
<result>C</result> | C | calc |
ape210k__00042458 | In a calligraphy competition, a total of 20 people in the fourth and fifth grades won prizes. Among the winners, 16 were not in the fourth grade, and 12 were not in the fifth grade. What is the total number of winners in this calligraphy competition? | <gadget id="calculator">12 - 20</gadget>
<output>-8</output>
<gadget id="calculator">16 + (-8)</gadget>
<output>8</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">20 + 4</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00256132 | How many different three-digit numbers can be formed with the numbers 9, 5, and 3? | <gadget id="calculator">3 * 2 * 1</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
math_qa__P92f01m7TZT0MRhP | In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.75$. Assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars? Choose the correct choice from the following options: A) 320 $ B) 420 $ C) 490 ... | <gadget id="calculator">0.75 * 55</gadget>
<output>41.25</output>
<gadget id="calculator">41.25 * 12</gadget>
<output>495</output>
<result>D</result> | D | calc |
aqua_rat__NaaFmOrgZ3tVCXcb | Two trains 200m and 250m long run at the speed of 72kmph and 18kmph in opposite directions in parallel tracks. The time which they take to cross each other is? Choose the correct choice from the following answers:
A) 5.6sec B) 8.9sec C) 10.8sec D) 12.6sec E) 18 sec | Relative speed = 72+18=
<gadget id="calculator">72+18</gadget>
<output>90</output>
90 kmph * 5/18= 25 m/s Distance covered in crossing each other = 200+250=
<gadget id="calculator">200+250</gadget>
<output>450</output>
450m Required time= 450*1/25=
<gadget id="calculator">450*1/25</gadget>
<output>18</output>
18... | E | calc |
aqua_rat__qHqfjNkcfnUjHFYZ | The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places? Choose the correct choice from the following choices
A) 729 B) 144 C) 627 D) 255 E) 142 | The word MEADOWS has 7 letters of which 3 are vowels. -V-V-V- As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways. Hence the total ways are 24 * 6=
<gadget id="... | B | calc |
ape210k__00020169 | What is the quotient of the product of 2.5 and 64 divided by 1.44? | <gadget id="calculator">2.5 * 64</gadget>
<output>160</output>
<gadget id="calculator">1.44 / 160</gadget>
<output>0.009</output>
<result>0.009</result> | 0.009 | calc |
aqua_rat__itCDVAyCl9FJxCbr | The distance from City A to City B is 240 miles. While driving from City A to City B, Jim drives at a constant speed of 40 miles per hour. Kerri leaves City A 60 minutes after Jim. What is the minimum constant speed in miles per hour that Kerri must exceed in order to arrive in City B before Jim? Choose the correct op... | The time it takes Jim to drive to City B is 240 / 40=
<gadget id="calculator">240 / 40</gadget>
<output>6</output>
6 hours. Hannah needs to take less than 5 hours for the trip. Hannah needs to exceed a constant speed of 240 / 5=
<gadget id="calculator"> 240 / 5</gadget>
<output>48</output>
48 miles per hour. T... | D | calc |
ape210k__00898247 | How much is 139*0*7? | <gadget id="calculator">139 * 139 * 0 * 7 * 7</gadget>
<output>0</output>
<result>0</result> | 0 | calc |
ape210k__00152490 | How many 0s are there at the end of 1*2*3*...*20? | <result>4</result> | 4 | calc |
ape210k__01126113 | Xinguang children's clothing store produces 8 sets of children's clothing on average every day. How many sets of children's clothing were produced in the second quarter? | <gadget id="calculator">30 + 31 + 30</gadget>
<output>91</output>
<gadget id="calculator">91 * 8</gadget>
<output>728</output>
<result>728</result> | 728 | calc |
ape210k__00413122 | There is a triangular vegetable field with an area of 0.24 hectares. Its base is 150 meters. What is its height in meters? | <gadget id="calculator">0.24 * 10_000</gadget>
<output>2_400</output>
<gadget id="calculator">2 / 150</gadget>
<output>1/75 = around 0.013333</output>
<gadget id="calculator">2_400 * (1/75)</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00328201 | How many measuring cups can be filled by pouring 2 liters of water into a 500ml measuring cup? | <gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 500</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00484619 | For some two-digit numbers, after dividing by 9, the quotient and remainder are the same. How many such two-digit numbers are there? | <result>8</result> | 8 | calc |
ape210k__00272567 | Uncle Zhang rides a bicycle to work, and travels 4 kilometers in (2/5) hours. How many kilometers per hour? What is the column or equation. | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">4 / (2/5)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00339619 | A toy factory produced 3,260 toy cars in the first quarter, and 1,460 in January. The ratio of the number of cars produced in February to March is 4:5. How many toy cars were produced in March? | <gadget id="calculator">3_260 - 1_460</gadget>
<output>1_800</output>
<gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">1_800 * (5/9)</gadget>
<output>1_000</output>
<result>1_000</result> | 1_000 | calc |
aqua_rat__PEZ0oKUrTQSAbo9l | There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is Choose the correct choice from the following... | List down possibilities: From only 1 box all the way to all 6 If only one of the boxes has a green ball, it can be any of the 6 boxes. So, we have 6 possibilities. If two of the boxes have green balls and then there are 5 consecutive sets of 2 boxes. 12, 23, 34, 45, 56. If 3 of the boxes have green balls, there a... | E | calc |
ape210k__00792371 | Three people plant trees, the number of trees planted by A accounts for (2/5) of the total number of trees planted by B and C, and the number of trees planted by A accounts for ((())/(())) of the total. | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 + (2/5)</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">(2/5) / (7/5)</gadget>
<output>2/7 = around 0.285714</output>
<result>2/7 = around 0.285714</result> | 2/7 | calc |
ape210k__00806199 | Dad bought a pair of table tennis rackets and a table tennis ball for 28.54 yuan, and a pair of table tennis rackets for 23.68 yuan. How much is a pair of table tennis rackets more expensive than a table tennis ball? | <gadget id="calculator">28.54 - 23.68</gadget>
<output>4.86</output>
<gadget id="calculator">23.68 - 4.86</gadget>
<output>18.82</output>
<result>18.82</result> | 18.82 | calc |
math_qa__9WRCeebSYLsBOFAn | A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 36.Find the number of notes of Rs.50 denomination. Choose the correct choice from the following answers.
A) 15 B) 21 C) 17 D) 19 E) 21 | <gadget id="calculator">500 * 36</gadget>
<output>18_000</output>
<gadget id="calculator">18_000 - 10_350</gadget>
<output>7_650</output>
<gadget id="calculator">500 - 50</gadget>
<output>450</output>
<gadget id="calculator">7_650 / 450</gadget>
<output>17</output>
<result>C</result> | C | calc |
aqua_rat__nzYZQOkMQOyTrQO1 | When x is multiplied by 3, the result is 4 more than the result of subtracting x from 16. What is the value of x? Choose the correct choice from the following answers:
A) -4
B) -2
C) 5
D) 13
E) 22 | The equation that can be formed is: 3x-4=16-x or, 4x=20 or, x=5. Answer : 5
<result>C</result> | C | calc |
ape210k__00415790 | The average monthly electricity consumption of Xincheng Primary School is 80 kWh, and the electricity fee is 0.61 yuan per kWh. According to this calculation, how much electricity can be saved in the whole year? | <gadget id="calculator">0.61 * 80 * 12</gadget>
<output>585.6</output>
<result>585.6</result> | 585.6 | calc |
ape210k__00544345 | A triangular rapeseed field has a base of 15 meters and a height of 40 meters. If 4.5 kilograms of rapeseed is harvested per square meter, how many kilograms of rapeseed can be harvested in this vegetable field? | <gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">15 * 20 * 4.5</gadget>
<output>1_350</output>
<result>1_350</result> | 1_350 | calc |
ape210k__00208493 | (2/9) of a number is (2/9), what should be the formula for this number | <gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">(2/9) / (2/9)</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00769869 | There are 60 baskets of apples, 12 baskets more than (3/4) of pears. How many baskets are there of pears? | <gadget id="calculator">60 - 12</gadget>
<output>48</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">48 / (3/4)</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
aqua_rat__CRVJKZfXONJsktja | In a bread recipe, the ratio of water to flour is 13 to 20. There is 168 g more flour than water. How much flour does the recipe call for? Choose the correct choice from the following options.
A) 400 g
B) 440 g
C) 480 g
D) 510 g
E) 525 g | Let x equal the amount of water, and y equal the amount of flour. We know that x = 13/20y. We also know that x = y-168. So we can simplify: y-168 = 13/20y So to isolate y, we get: 7/20y = 168 And to solve for y: y = 480 Answer: 480 g
<result>C</result> | C | calc |
aqua_rat__CM6vfONpfhErdfPB | The equation (M )/42 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?
Choose the correct choice from the following choices.
A... | M/42 =(P-7)/21 M = (P-7)*42/21 =(P-7)*2 (P-7)*2
<result>C</result> | C | calc |
ape210k__00465216 | There is a stack of paper with a height of 4 decimeters. If it is divided into stacks every 5 cm, how many stacks can it be divided into? | <gadget id="calculator">4 * 10</gadget>
<output>40</output>
<gadget id="calculator">40 / 5</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
gsm8k__OSRBeP7Q4FsBwS3P | Tod drives his family car 55 miles to the north and 95 miles to the west. If Tod constantly drives 25 miles an hour the entire trip how many hours did Tod drive? | 55 miles north and 95 miles west give 55+95=
<gadget id="calculator">55+95</gadget>
<output>150</output>
150 miles total
150 miles at 25 miles an hour gives 150/25=
<gadget id="calculator">150/25</gadget>
<output>6</output>
6 hours.
<result>6</result> | 6 | calc |
ape210k__00887401 | A rectangular steel plate, cut down to 4 decimeters in length, becomes a square steel plate, with an area reduced by 48 square decimeters. What is the area of the original rectangular steel plate in square decimeters? | <gadget id="calculator">48 / 4</gadget>
<output>12</output>
<gadget id="calculator">12 * 12</gadget>
<output>144</output>
<gadget id="calculator">144 + 48</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
aqua_rat__OoMzfjyy1TPyBQQc | Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
Choose the correct answer
A) 9 minutes
B) 7
C) 6
D) 5
E) 4 | Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1. x(2/75 + 1/45) + (30 - x). 2/75 = 1 11x/225 + (60 - 2x)/75 = 1 11x + 180 - 6x = 225. x = 9. 9 minutesnswer:9 minutes
<result>A</result> | A | calc |
aqua_rat__ePjAeCxLxU6inr9m | A man can row with a speed of 15 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is? Pick one
A) A)25 B) B)28 C) C)20 D) D)21 E) E)18 | M = 15 S = 5 DS = 15 + 10=
<gadget id="calculator">15 + 10</gadget>
<output>25</output>
25 25nswer:25
<result>A</result> | A | calc |
ape210k__00352136 | A pool is equipped with water inlet and outlet pipes, the empty pool can be filled in 3 hours with the water inlet alone, and the full pool can be drained in 5 hours with the water outlet alone. Open the water inlet and outlet pipes at the same time, turn off the water outlet pipes after 2 hours, how many hours will it... | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/3) - (1/5)</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">(2/15) * 2</gadget>
<output>4/15 = around 0.266667</out... | 11/5 | calc |
ape210k__00654347 | One lap of the playground track is 400 meters. After running 2 laps, how many meters have you run in total? | <gadget id="calculator">400 * 2</gadget>
<output>800</output>
<result>800</result> | 800 | calc |
aqua_rat__fe2s77ImbY6CRHFi | The surface of a cube is 384sq cm. Find its volume? Answers.
A) 8cc B) 9cc C) 512cc D) 4cc E) 6cc | 6a2 = 384 = 6*64 a = 8 => a3 = 512cc Answer: 512cc
<result>C</result> | C | calc |
aqua_rat__8askZDo8R093vYpc | Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%? Choose one:
A) 197
B) 119
C) 279
D) 500
E) 502 | (x*5*1)/100 + [(1500 - x)*6*1]/100 = 85 5x/100 + 90 – 6x/100 = 85 x/100 = 5 => x = 500 Answer:500
<result>D</result> | D | calc |
ape210k__00445123 | Mom bought 12 peaches and ate 3. What fraction of the total number of peaches are left? | <gadget id="calculator">12 - 3</gadget>
<output>9</output>
<gadget id="calculator">9 / 12</gadget>
<output>3/4 = around 0.75</output>
<result>3/4 = around 0.75</result> | 3/4 | calc |
ape210k__00822467 | The typing room printed a manuscript. On the first day, I typed 45 pages. On the second day, I typed more (1/9) than the first day. In two days, I typed this manuscript (5/6). This manuscript How many pages are there? | <gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">1 + (1/9)</gadget>
<output>10/9 = around 1.111111</output>
<gadget id="calculator">45 * (10/9)</gadget>
<output>50</output>
<gadget id="calculator">45 + 50</gadget>
<output>95</output>
<gadget id="calculator">5 / 6... | 114 | calc |
aqua_rat__RQbrEPIf55ycpJTg | An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m? Select the correct option
A) Rs. 3642.40 B) R... | Length of the first carpet = (1.44)(6) = 8.64 cm Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100) = 51.84(1.4)(5/4) sq m = (12.96)(7) sq m Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40 ANSWER:Rs. 4082.40
<result>D</result> | D | calc |
aqua_rat__oDypvl4QLMBkNOnK | Find the number of square tiles to cover the floor of a room measuring 4.5 m * 10 m leaving 0.60 m space around the room. A side of square tile is given to be 11 cms? Choose the correct choice from the following answers: A) 2710 B) 4764 C) 2772 D) 4000 E) 2400 | 3.30 *8.80 = 11/100 * 11/100 * x => x = 2400 Answer: 2400
<result>E</result> | E | calc |
aqua_rat__MAkf84LSrP5M9B3s | The total age of A and B is 13 years more than the total age of B and C. C is how many year younger than A Choose one: A) 11 B) 12 C) 13 D) 14 E) 15 | Explanation: Given that A+B = 13 + B + 13=
<gadget id="calculator">+ 13</gadget>
<output>13</output>
> A ? 13= 13 + B ? B = 13 => 13 is younger than A by 13 years Answer: Option 13
<result>C</result> | C | calc |
ape210k__00637689 | Christmas is coming, a store bought a Christmas tree, and the clerk brought various small decorations to hang on the tree, among which the number of Christmas balls accounted for (3/8) of the total, and the number of small gift boxes accounted for (4/8) of the total 8), the rest are snow flakes. Find the fraction of th... | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">4 / 8</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/8) + (1/2)</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">1 - (7/8)</gadget>
<output>1/8 = around 0.125</output>
<resul... | 1/8 | calc |
aqua_rat__7jFUQExgUseVcXbj | Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit? Choose the correct choice from the following answers.
A) 10000 B) 20000 C) 22000 D) 24000 E) 30000 | SoL = ~s- So Anju’s share = [5/9] x 54000 = 30000 30000
<result>E</result> | E | calc |
ape210k__00071338 | The students of the Low-Carbon Life Special Action Group held 14 speeches in May, and the number of speeches held in June was more than that in May (2/7). How many speeches were held in June? | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">1 + (2/7)</gadget>
<output>9/7 = around 1.285714</output>
<gadget id="calculator">14 * (9/7)</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00556179 | A cylinder with a height of 16 cm is cut into two half cylinders along its diameter. The sum of the surface areas is 640 square centimeters larger than the original surface area. What is the original volume of the cylinder? | <gadget id="calculator">640 / 2 / 16</gadget>
<output>20</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">3.14 * 100 * 16</gadget>
<output>5_024</output>
<result>5_024</result> | 5_024 | calc |
ape210k__00600081 | The price ratio of a suit, clothes and trousers is 8:5, and the trousers are 120 yuan less than the clothes. How much does it cost to buy this suit? | <gadget id="calculator">8 - 5</gadget>
<output>3</output>
<gadget id="calculator">120 / 3</gadget>
<output>40</output>
<gadget id="calculator">8 + 5</gadget>
<output>13</output>
<gadget id="calculator">40 * 13</gadget>
<output>520</output>
<result>520</result> | 520 | calc |
math_qa__TLCuFRFhSC34yJon | the ratio of local and international calls made by amy this week is 5 to 2 . if the ratio changes to 5 to 3 after amy makes 3 more international calls , how many local calls did amy make this week ? Choose the most appropriate option
A) 3 B) 5 C) 10 D) 15 E) 21 | <gadget id="calculator">3 - 2</gadget>
<output>1</output>
<gadget id="calculator">3 / 1</gadget>
<output>3</output>
<gadget id="calculator">3 * 5</gadget>
<output>15</output>
<result>D</result> | D | calc |
aqua_rat__bdbIRC5k71B56znM | In a school of 450 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities? Choose the correct choice from the following choices:
A) 72
B) 75
C) 80
D) 81
E) 90 | 44 + 28 + 10=
<gadget id="calculator">44 + 28 + 10</gadget>
<output>82</output>
82% 100 – 82= 18% 450 * 18/100=
<gadget id="calculator"> 450 * 18/100</gadget>
<output>81</output>
81 ANSWER:81
<result>D</result> | D | calc |
aqua_rat__SUgB7DT3ThjRGlLF | The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:
Choose the correct choice from the following answers: A) 0.02 B) 0.2 C) 0.04 D) 0.4 E) None | EXPLANATION Given expression = (11.98)2 + (0.02)2 + 11.98 x x. For the given expression to be a perfect square, we must have 11.98 x x = 2 x 11.98 x 0.02 or x = 0.04 Answer 0.04
<result>C</result> | C | calc |
ape210k__00557103 | The master and apprentice worked together to process a batch of parts and completed the task in 15 days. The master processed 60 parts every day, and processed 360 more parts than the apprentice when he completed the task. How many parts does the apprentice process every day? | <gadget id="calculator">360 / 15</gadget>
<output>24</output>
<gadget id="calculator">60 - 24</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00712587 | If a cube with a side length of 6 cm is processed into the largest cone, what is the volume of the leftovers removed? | <gadget id="calculator">6 * 6 * 6</gadget>
<output>216</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">(1/3) * 3.14 * 9 * 6</gadget>
<ou... | 159.48 | calc |
aqua_rat__C17EO51RI4f5FnVj | Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6 Select.
A) 4/7 B) 5/3 C) 4/5 D) 5/8 E) 7/18 | Clearly n(S)=6*6=
<gadget id="calculator">6*6</gadget>
<output>36</output>
36 Let E be the event that the sum of the numbers on the two faces is divided by 4 or 6.Then E={(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(5,1),(5,3),(6,2), (6,6)} n(E)=14. Hence p(e)=n(e)/n(s)=14/36=7/18 ANS: 7/18... | E | calc |
aqua_rat__AxNuX5RjcdpPNOpa | The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
Options.
A) 45 B) 50 C) 55 D) 60 E) 65 | Option 45
<result>A</result> | A | calc |
aqua_rat__C6UaeiZS2gCx9tjR | At what price must an article costing Rs.95 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choose the correct choice from the following:
A) 130 B) 125 C) 145 D) 135 E) 144 | CP = 95 SP = 47.50*(125/100) = 118.125 MP*(95/100) = 118.125 MP = 125 Answer:125
<result>B</result> | B | calc |
ape210k__00315695 | 11+17+83+89=how much. | <gadget id="calculator">11 + 17 + 83 + 89</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__01189727 | Fill in the appropriate number in the box: 50.35*(72.05-(how many-17.95))=2014. | <gadget id="calculator">50.35 * 72.05</gadget>
<output>3_627.7175</output>
<gadget id="calculator">50.35 * 17.95</gadget>
<output>903.7825</output>
<gadget id="calculator">903.7825 - 2_014</gadget>
<output>-1_110.2175</output>
<gadget id="calculator">3_627.7175 + (-1_110.2175)</gadget>
<output>2_517.5</output>
<gad... | 50 | calc |
ape210k__00317295 | It is the duty of every citizen to pay taxes according to law. Mr. Zhang’s total salary last month was 2,600 yuan. According to the relevant provisions of the Individual Income Tax Law, the portion exceeding 1,600 yuan is subject to 5% personal income tax. So how much personal income tax should Mr. Zhang pay last month... | <gadget id="calculator">2_600 - 1_600</gadget>
<output>1_000</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1_000 * (1/20)</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
aqua_rat__gXURFzSt3dznsrVi | P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings? Choices
A) 1:5
B) 1:0
C) 1:3
D) 1:1
E) 1:2 | Ratio of investments of P and Q is 2 : 5 Total salary claimed by P = 12 * 5000 = Rs. 60000 Total profit = Rs. 2 lakhs. Profit is to be shared = Rs. 140000 Share of P = (2/7) * 140000 = Rs. 400000 Share of Q = Rs. 100000 Total earnings of P = (60000 + 40000) = Rs. 100000 Ratio of their earnings =1:1 Answ... | D | calc |
ape210k__00693101 | 400/5, how many 0s are there at the end of the quotient? | <result>1</result> | 1 | calc |
ape210k__00465634 | A poplar tree is the willow (2/9), and a poplar tree is the sum of poplar and willow. | <gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">1 + (2/9)</gadget>
<output>11/9 = around 1.222222</output>
<gadget id="calculator">(2/9) / (11/9)</gadget>
<output>2/11 = around 0.181818</output>
<result>2/11 = around 0.181818</result> | 2/11 | calc |
ape210k__00506779 | There are 5 yellow balls and 4 red balls in a pocket. If you touch any one of them, what is the probability of getting a red ball? | <gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<result>4/9 = around 0.444444</result> | 4/9 | calc |
ape210k__00977439 | Xiaoli has 60 yuan, Xiaogang's money is Xiaoli's (1/4), Xiaojun's money is Xiaogang's (3/5), how much money does Xiaojun have? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">60 * (1/4) * (3/5)</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00329545 | There are 5 elephants in the zoo, and one elephant needs to eat 65 kilograms of feed every day. According to this calculation, how much feed do these elephants eat in a month? (A month is calculated as 30 days) | <gadget id="calculator">65 * 5 * 30</gadget>
<output>9_750</output>
<result>9_750</result> | 9_750 | calc |
ape210k__00446619 | Liangliang bought 2 notebooks and 4 pencils, Honghong bought 14 of the same pencils, and they both spent the same amount of money. The price of a notebook is equal to the price of pencils. | <gadget id="calculator">14 - 4</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__1Brbeys3CQyXtDZm | In baseball, the batting average is defined as the ratio of a player’s hits to at bats. If a player had anywhere from 5 to 7 at bats in a recent game and had anywhere from 2 to 3 hits in the same game, the player’s actual batting average for that game could fall anywhere between
Choices:
A) 0.25 and 1.00
B) 0.25 and 0.... | Average Range = Hits to Bats i.e 2/7 to 3/5 = 0.28 to 0.60 Answer: 0.25 and 0.75
<result>C</result> | C | calc |
ape210k__00824363 | The number of A is 125, and the number of B is 24 times that of A, what is the number of B? | <gadget id="calculator">125 * 24</gadget>
<output>3_000</output>
<result>3_000</result> | 3_000 | calc |
ape210k__00493244 | The little monkey has to divide 15 peaches into 4 piles with unequal numbers, and the most can get as many peaches as one push. | <result>9</result> | 9 | calc |
aqua_rat__CN3ZNNy7cOyGWCP7 | Tom left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change? Choose the correct choice: A) 40 B) 200 C) 266 D) 267 E) 600 | In order not to lose money because of the change Tom's total commission must beat least$75,000-$45,000=$30,000, so total sales must beat least$30,000/0.15=$200,000. Which means that he must makeat least$200,000/750=800/3=266.6 sales, so 267 sales. Answer: 267.
<result>D</result> | D | calc |
ape210k__00245302 | (3/8)/(75%-(8/15)/(8/3)*(62.5%-(5/8))). | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">8 / 15</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">8 / 3</gadget>
<output>8/3 = around 2.666667</output>
<gadge... | 1/2 | calc |
aqua_rat__ZyP0RK6korbdDsy8 | The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 33 kmph?
Options.
A) 210 B) 220 C) 125 D) 240 E) 250 | distance covered in 1 min=(33*1000)/60=
<gadget id="calculator">(33*1000)/60</gadget>
<output>550</output>
550m circumference of the wheel=(2*(22/7)*.70)=
<gadget id="calculator">(2*(22/7)*.70)</gadget>
<output>4.4</output>
4.4m no of revolution per min=550/4.4=
<gadget id="calculator">550/4.4</gadget>
<output>1... | C | calc |
ape210k__00816593 | A cylindrical log with a length of 5 meters is sawn into 3 sections along the cross section, and the surface area increases by 12.56 square meters. What is the volume of this log in cubic meters? | <gadget id="calculator">12.56 / 4</gadget>
<output>3.14</output>
<gadget id="calculator">3.14 * 5</gadget>
<output>15.7</output>
<result>15.7</result> | 15.7 | calc |
ape210k__00560950 | Xiao Ming's height is 122 cm, Xiao Ming is 15 cm taller than Xiao Fang, Xiao Gang is 24 cm taller than Xiao Fang, what is Xiao Gang's height? | <gadget id="calculator">122 - 15</gadget>
<output>107</output>
<gadget id="calculator">107 + 24</gadget>
<output>131</output>
<result>131</result> | 131 | calc |
aqua_rat__Ridu5BYOQDy2hWJg | A shopping mall charges 70 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a certain customer parked his in the mall for 7 hours and 30 minutes, how much is he going to pay? Choose the correct answer.
A) $36.4
B) $12.
... | 0.70+5*5+2*5+0.70=
<gadget id="calculator">0.70+5*5+2*5+0.70</gadget>
<output>36.4</output>
$36.4 $36.4nswer: $36.4
<result>A</result> | A | calc |
aqua_rat__ObFGNRsH8fQwwuGk | The greatest possible length which can be used to measure exactly the length 8m, 4m 84cm, 11 m 90 cm is
Pick.
A) 11 cm
B) 12 cm
C) 5 cm
D) 2 cm
E) 43 cm | Explanation: Required Length = H.C.F of 800 cm, 484 cm and 1190 c = 2 cm. Answer: 2 cm
<result>D</result> | D | calc |
ape210k__00454779 | Xiao Ming's mother deposited Xiao Ming's New Year's money in the bank two years ago. At that time, the bank interest rate was 3.5%. After deducting the 20% interest tax this year, she got 280 yuan in interest. Ask: How much was Xiao Ming's New Year's money two years ago? | <gadget id="calculator">3.5 / 100</gadget>
<output>0.035</output>
<gadget id="calculator">0.035 * 2</gadget>
<output>0.07</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">0.035 * 2 * (1/5)</gadget>
<output>0.014</output>
<gadget id="calculator">0.07 - 0.01... | 5_000 | calc |
ape210k__00860243 | There are 3 colored ribbons, the lengths of which are 12 meters, 8 meters and 10 meters respectively. If these 3 colored ribbons are to be cut into small pieces of the same length without any remaining pieces, how many meters is the longest of each colored ribbon? | <result>2</result> | 2 | calc |
ape210k__00237683 | Grandpa, father and Xiaoming are all monkeys. Grandpa is 60 years old this year, and Xiaoming's age is (1/5) of grandpa's. How old is father this year? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">60 * (1/5)</gadget>
<output>12</output>
<gadget id="calculator">12 + 24</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
math_qa__cki6dpELsi0CBIN7 | Pipes A and B can fill a tank in 6 and 4 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in? Choose the correct choice from the following:
A) 3 hr
B) 2 hr
C) 1 hr
D) 9 / 7 hr
E) 5 / 3 hr | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/6) + (1/4)</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output... | A | calc |
aqua_rat__guZpxf6RZnJVQgJn | A shopkeeper sells a transistor at Rs. 840 at a gain of 20% and another for Rs. 960 at the loss of 4%. Find his total gain percent.
Choose one:
A) 5 12/17%
B) 5 13/17%
C) 5 14/17%
D) 5 15/17%
E) 5 16/17% | Explanation: In this type of question, we will first find total C.P. of items, then total S.P. of items, then we will get gain or loss. From which we can easily calculate its percentage. So lets solve it now. So, C.P. of 1st transistor = (100/120∗840)=700 C.P. of 2nd transistor = (100/96∗960)= 1000Total C.P. ... | D | calc |
aqua_rat__uTwd5jVwZRmymnkD | A school bus travels from Veldhoven to Roosendaal. There are four children in the bus. Each child has four backpacks with him. There are four dogs sitting in each backpack. Every dog has four puppies with her. All these dogs have four legs, with four toes at each leg.
What is the total number of toes in the bus?
Pick.
... | B 5170 The total number of toes is 5170. The puppies: 4 children × 4 backpacks × 4 dogs × 4 puppies × 4 legs × 4 toes = 4096 Plus the dogs: 4 children × 4 backpacks × 4 dogs × 4 legs × 4 toes = 1024 Plus the children: 4 children × 2 legs × 5 toes = 40 Plus the driver of the school bus: 2 legs × 5 toes = 10 ... | B | calc |
ape210k__00620277 | Xiao Ming reads a story book. On the first day, he read half of the book and more than 5 pages. On the second day, he read half of the remaining pages and more than 5 pages. On the third day, he read 5 pages and just finished it. How many pages does this storybook have? | <gadget id="calculator">5 + 5</gadget>
<output>10</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">20 + 5</gadget>
<output>25</output>
<gadget id="calculator">25 * 2</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
aqua_rat__brHl637lijfCyUo9 | The probability that a number selected at random from the first 100 natural numbers is a composite number is ?
Choices:
A) 2/3 B) 3/5 C) 3/4 D) 3/2 E) 5/2 | Explanation: The number of exhaustive events = 100 C₁ = 100. We have 25 primes from 1 to 100. Number of favourable cases are 75. Required probability = 75/50 = 3/2. Answer is 3/2
<result>D</result> | D | calc |
ape210k__01010425 | Dad intends to pave the upper bricks for the bright little study, and it takes 90 square bricks with an area of 2 decimeters. If the square bricks with an area of 3 decimeters are used instead, how many square bricks are needed? (Solve with ratio) | <gadget id="calculator">2 * 90</gadget>
<output>180</output>
<gadget id="calculator">180 / 3</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__01088209 | The master and apprentice make 600 parts together, the master makes 60 parts every day, and the apprentice makes 40 parts every day. How many days can the two work together to complete the task? | <gadget id="calculator">60 + 40</gadget>
<output>100</output>
<gadget id="calculator">600 / 100</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__iIcC2hxKx53syGFS | The weight of a glass of jar is 15% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar? Pick:
A) 1/5
B) 1/3
C) 2/5
D) 9/17
E) 9/23 | Let weight of jar filled with beans = 100 g Weight of jar = 15 g Weight of coffee beans = 85 g Weight of jar and remaining beans = 60 g Weight of remaining beans = 45 g Fraction remaining = 45/85 = 9/17 Answer is 9/17.
<result>D</result> | D | calc |
ape210k__00620839 | Solve the equation: (1/3): x=(1/2): (3/7). | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">(1/3) * (3/7)</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<... | 2/7 | calc |
ape210k__00365056 | The store promotes a backlog product, and sells it after a 30% price reduction. The price of each item is 140 yuan. How much is the original price? (solution with equation) | <gadget id="calculator">140 / 0.7</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
math_qa__eUxkdiwu33PWduxs | What least number should be added to 1021, so that the sum is completely divisible by 25? Choose the correct choice from the following
A) 4 B) 3 C) 2 D) 0 E) 5 | <gadget id="calculator">1_021 % 25</gadget>
<output>21</output>
<gadget id="calculator">25 - 21</gadget>
<output>4</output>
<result>A</result> | A | calc |
ape210k__00421528 | The area of a square with a side length of cm is 64 square meters. | <result>800</result> | 800 | calc |
aqua_rat__mvVKFfxnVrVucoFb | A box contain Red, Blue and Green colored balls. The number of Red balls is 80 and the number of Blue balls is 60.
The number of Green balls subtracted from the number of Red balls is the same as the number of Green balls added with the number of Blue balls. Then the number of Green balls is? Choices: A) 80 B) 70 C) 60... | Answer Let the number of Green balls be x. Then, x - 60= 80 - x ⇒ 2x = 80+ 60=
<gadget id="calculator">80+ 60</gadget>
<output>140</output>
140 ⇒ 2x= 140 ∴ x = 70 Correct Option: 70
<result>B</result> | B | calc |
ape210k__00390995 | A small triangular flag has a base of 9.5 cm and a height of 3.3 cm. What is its area in square centimeters? | <gadget id="calculator">3.3 / 2</gadget>
<output>1.65</output>
<gadget id="calculator">9.5 * 1.65</gadget>
<output>15.675</output>
<result>15.675</result> | 15.675 | calc |
ape210k__00445051 | If the volume of a cylinder is 18 cubic centimeters, what is the volume of a cone with the same base and height in cubic centimeters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">18 * (1/3)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__01097401 | Xiao Ming goes to climb a mountain. He travels 3 kilometers per hour when going up the mountain, and 5 kilometers per hour when going down the mountain along the original road. What is the average speed of Xiao Ming going up and down the mountain this time? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/3) + (1/5)</gadget>
<output>8/15 = around 0.533333</output>
<gadget id="calculator">2 / (8/15)</gadget>
<output>15/4 = around 3.75</output>... | 15/4 | calc |
ape210k__00215138 | There are 15 chickens, 5 more than ducks. There are 8 more geese than ducks. Find the number of geese. What is the correct column formula? | <gadget id="calculator">15 - 5</gadget>
<output>10</output>
<gadget id="calculator">10 + 8</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00077426 | There is a rectangle with a length of 100 cm, and a square is cut from one end of it, what is the perimeter of the remaining part in cm? | <gadget id="calculator">100 * 2</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00554177 | A triangular lawn, the length of the base is 150 meters, the ratio of the base to the height is 6:5, what is the area of the triangle lawn in square meters? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">150 * (5/6)</gadget>
<output>125</output>
<gadget id="calculator">(1/2) * 150 * 125</gadget>
<output>9_375</output>
<result>9_375</result> | 9_375 | calc |
ape210k__00160048 | Put 50 grams of sugar into 400 grams of water, how much water accounts for the sugar water | <gadget id="calculator">50 + 400</gadget>
<output>450</output>
<gadget id="calculator">400 / 450</gadget>
<output>8/9 = around 0.888889</output>
<result>8/9 = around 0.888889</result> | 8/9 | calc |
mawps__4sAAt3W4iIbwtUZd | Roberta had 146 banana. William took 93 from him. Now How many banana Roberta have reduced? | <gadget id="calculator">146 - 93</gadget>
<output>53</output>
<result>53</result> | 53 | calc |
ape210k__01086389 | When the fifth grade class organizes the general cleaning, if the groups of 5 or 6 are just divided into groups, and there is nothing left. At least how many people are there in this class. | <gadget id="calculator">5 * 6</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
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