id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__k4v8G4PxzZNaP5PZ | A survey is conducted on 800 people from a city. It is found that 6 1% of people surveyed speakHindi, 54.5% people speak Bangla and 37.5% of them speak English. 16.5% people can speak only Hindi and Bangla, 14.5% people can speak only Hindi and English and 6% people can speak only Bangla and English. Answer the followi... | Explanation : x + y + z + k = 800 - (132 + 116 + 48)=
<gadget id="calculator">800 - (132 + 116 + 48)</gadget>
<output>504</output>
504 .....(i) x + k= 488 - (132 + 116)=
<gadget id="calculator">488 - (132 + 116)</gadget>
<output>240</output>
240 .....(ii) y + k= 436 - (132 + 48)=
<gadget id="calculator">436 - ... | C | calc |
aqua_rat__rpM5p8oaYnhjESQS | What annual payment will discharge a debt of Rs. 1125 due in 2 years at the rate of 5% compound interest? Choose the correct choice from the following answers:
A) 993.2 B) 551.25 C) 534.33 D) 605.03 E) 646.33 | Explanation: Let each installment be Rs. x. Then, x/(1 + 5/100) + x/(1 + 5/100)2 = 1125 820x + 1125 * 441 x = 605.03 So, value of each installment = Rs. 605.03 Answer: Option 605.03
<result>D</result> | D | calc |
ape210k__00448483 | The result of 72/3/3 is equal to how many results. | <gadget id="calculator">72 / 3 / 3</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__dzKSTmbPr5cFHVfG | A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat? Pick
A) m
B) m
C) m
D) m
E) m | A can give B (5 min - 4 1/2 min) = 30 sec start. The distance covered by B in 5 min = 1000 m. Distance covered in 30 sec = (1000 * 30)/300=
<gadget id="calculator">(1000 * 30)/300</gadget>
<output>100</output>
100 m. A can give B 100m start. ANSWER:m
<result>D</result> | D | calc |
ape210k__00953735 | It costs 112 yuan to buy 4 thermos bottles. If you buy 8 thermos bottles, how much will it cost? (solved in two different ways) | <gadget id="calculator">112 / 4</gadget>
<output>28</output>
<gadget id="calculator">28 * 8</gadget>
<output>224</output>
<result>224</result> | 224 | calc |
ape210k__00832921 | There are 360 students in the sixth grade of Guangming Primary School, and the number of students in the fifth grade is less than that in the sixth grade (1/5). How many students are there in the fifth and sixth grades? | <gadget id="calculator">1 / 5</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">360 * (4/5)</gadget>
<output>288</output>
<gadget id="calculator">288 + 360</gadget>
<output>648</output>
<result>648</result> | 648 | calc |
aqua_rat__ZaebaIek9FN7IRQx | A certain article of clothing was discounted during a special sale to 2/5 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the se... | Say the original retail price of the item was $200. The price after the first sale = 3/5 * $200 = $120. The price after the second sale 3/5 * 200=
<gadget id="calculator">3/5 * 200</gadget>
<output>120</output>
$120. The price after the second sale= 1/2 * $200 = $100. The percent change from the first sale t... | D | calc |
ape210k__00550068 | Calculation: 97*98-96*99. | <gadget id="calculator">97 * 98</gadget>
<output>9_506</output>
<gadget id="calculator">96 * 99</gadget>
<output>9_504</output>
<gadget id="calculator">9_506 - 9_504</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__bLRJiZ6FmTGDLg9L | A store reduced the price of all items in the store by 10% on the first day and by another 14% on the second day. The price of items on the second day was what percent of the price before the first reduction took place? Select the correct option
A) 80.0
B) 80.9
C) 77.4
D) 81.1
E) 81.9 | consider price of the all items as $100 after a initial reduction of 10% price becomes = 0.9 *100=
<gadget id="calculator">0.9 *100</gadget>
<output>90</output>
$ 90 after the final reduction of 14% price becomes= 0.86* 90=
<gadget id="calculator">0.86* 90</gadget>
<output>77.4</output>
$ 77.4 price of all item... | C | calc |
ape210k__00098942 | The machine factory produces a ring-shaped machine part with an outer radius of 2.5 cm and an inner radius of 2 cm. What is the area of this ring-shaped part in square centimeters? | <gadget id="calculator">2.5 ** 2</gadget>
<output>6.25</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">6.25 - 4</gadget>
<output>2.25</output>
<gadget id="calculator">3.14 * 2.25</gadget>
<output>7.065</output>
<result>7.065</result> | 7.065 | calc |
aqua_rat__kbMMsvggGTIzJgEv | On a certain plane, 2/5 of the passengers speak French and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
Choose the correct choice.
A) 12 B) 15 C) 40 D) 54 E) 60 | Assume the total members = x French = .4x Hebrew = .75x French + Hebrew = 1.15x, but this is not possible hence 15 people speak both languages. Only French = .25x, Only Hebrew = .6x, both = .15x Since these are all people, all of these should be whole numbers. Checking the options: A. 12. Only Hebrew = 12... | C | calc |
ape210k__00354336 | If a cuboid block with a length of 70 cm, a width of 60 cm, and a height of 50 cm is cut into a cube with the largest volume, what is the volume of the cut part in cubic decimeters? | <gadget id="calculator">70 * 60 * 50</gadget>
<output>210_000</output>
<gadget id="calculator">50 * 50 * 50</gadget>
<output>125_000</output>
<gadget id="calculator">210_000 - 125_000</gadget>
<output>85_000</output>
<gadget id="calculator">85_000 / 1_000</gadget>
<output>85</output>
<result>85</result> | 85 | calc |
aqua_rat__MHZ4UET4leot6Kz2 | A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many art books were there at the starting?
Choose the correct choice from the following answers.
A) 1355
B) 1350
C) 1450
D) 1600
E) 2000 | science books sold = 2x × 0.2 = 0.4x science books unsold = 2x – 0.4x = 1.6x art books sold = 5x × 0.2 = x art books unsold = 5x – x = 4x total books unsold = 1.6x + 4x = 5.6x 5.6x 1.6 + 4=
<gadget id="calculator">1.6 + 4</gadget>
<output>5.6</output>
5.6x 5.6x= 2240 x = 400 2x science = 800 and 5x... | E | calc |
ape210k__00349626 | Cut a watermelon into 10 pieces on average, each of the parents ate 3 pieces, and Xiaolin ate the rest. How much of the watermelon did Xiaolin eat? | <gadget id="calculator">10 - 3 - 3</gadget>
<output>4</output>
<gadget id="calculator">4 / 10</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
aqua_rat__rjwuvfXYLY4FDPhc | Seven cards numbered from 1 to 7 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 9, what is the probability that one of the two cards drawn is numbered 5? Choose the corr... | There are 6 ways to get a total sum of 9. 2 of these ways include the number 5. The probability that one of the cards is a 5 is 2/6 = 1/3 The answer is 1/3.
<result>B</result> | B | calc |
ape210k__00050369 | The Grade 5 office bought a pack of white paper. It was planned to use 20 sheets per day, and it lasted for 28 days. The actual use was 7 days longer than the plan. How many sheets of this pack of paper actually used per day? | <gadget id="calculator">20 * 28</gadget>
<output>560</output>
<gadget id="calculator">28 + 7</gadget>
<output>35</output>
<gadget id="calculator">560 / 35</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__TnYnZl4Mq6MXOEh7 | A and B can do a piece of work in 3 days. With the help of C they finish the work in 2 days. C alone can do that piece of work in? Choose the correct choice from the following answers.
A) 6 DAYS B) 5 DAYS C) 4 DAYS D) 3 DAYS E) 2 DAYS | C = 1/2 – 1/3= 1/6 => 6 days 6 DAYSnswer:6 DAYS
<result>A</result> | A | calc |
ape210k__01043411 | The sum of the four numbers A, B, C, and D is 480, where A is the sum of B, C, and D (1/2), B is the sum of A, C, and D (1/3), and C is A, B, D and (1/4). How much is Qiuding? | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">480 * (1/3)</gadget>
<output>160</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = aro... | 104 | calc |
ape210k__00903295 | The area of a triangle is (4/5)m**2. Given that its base is (12/5)m, what is its height in m? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">12 / 5</gadget>
<output>12/5 = around 2.4</output>
<gadget id="calculator">2 / (12/5)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(4/5) * (5/6)</gadget>
<output>2/3 = around 0.666667</output>
... | 2/3 | calc |
ape210k__00794311 | The price of a computer increased in the first ten days of October (1/10), and then decreased in late October (1/11). The current price is 5,000 yuan. How much is the difference between the current price and the original price? | <gadget id="calculator">1 / 10</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">1 / 11</gadget>
<output>1/11 = around 0.090909</output>
<gadget id="calculator">1 - (1/11)</gadget>
<output>10/11 = around 0.909091</outpu... | 0 | calc |
aqua_rat__5zEFVWS0u7WAxDud | If the price of an article went up by 15%, then by what percent should it be brought down to bring it back to its original price? Choose the correct choice.
A) 17.39% B) 2/8% C) 2/1% D) 1/3% E) 2/7% | Let the price of the article be Rs. 100. 15% of 100 = 15 New price = 100 + 15 = Rs. 115 Required percentage = (115 - 100)/115 * 100 = 20/115 * 100 = 17.39 %. 17.39%nswer:17.39%
<result>A</result> | A | calc |
ape210k__00232230 | Fold a rope in half twice, then cut it in the middle. How many pieces of rope are there after cutting? | <gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__vC9MIQXsq0BYFIla | At exactly what time past 8:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time? Pick.
A) 20 13/21 minutes past 8:00 B) 20 13/17 minutes past 7:00 C) 21 3/23 minutes past 7:00 D) 21 9/11 minutes past 7:00 E) 22 4/9 minutes past 7:00 | 20 13/21 minutes past 8:001 = hour angle 20 13/21 minutes past 8:002 = minute angle 20 13/21 minutes past 8:001-20 13/21 minutes past 8:002 = 90 20 13/21 minutes past 8:00ssume the minutes = M 20 13/21 minutes past 8:001 = (8*60+M)/12*60 )*360 20 13/21 minutes past 8:002 = M*360/60 Solving all three equatio... | A | calc |
aqua_rat__ZpnTk1IpbnosLuAj | I have a huge bed-sheet of 1 meter long.
I want to cuts this role into pieces of 20 centimeter long cloth.
How long will it take me to cut the bed sheet if each 20 centimeter cut took me 5 minutes ? Choose the correct choice from the following:
A) 200 minutes B) 245 minutes C) 140 minutes D) 220 minutes E) 324 minu... | B 245 minutes It will take 49 cuts not 50. so 49*5=
<gadget id="calculator">49*5</gadget>
<output>245</output>
> 245 minutes
<result>B</result> | B | calc |
ape210k__00168907 | The day before yesterday, Liangxuan's father bought 1,000 shares at a price of 5.4 yuan per share. Yesterday it fell by 10%, but today it rose by 10%. How much is Liangxuan's father's stock worth now? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">5.4 * (9/10) * (11/10) * 1_000</gadget>
<output>5_346</ou... | 5_346 | calc |
ape210k__00339188 | In stock trading, every time you buy or sell a stock, you must pay certain stamp duty and commission according to the transaction amount. On January 5, Lao Wang bought 6,000 shares of Lenovo Technology at a price of 20.5 yuan per share. On June 19, he sold all these stocks at a price of 25.4 yuan per share. % commissio... | <gadget id="calculator">0.6 / 100</gadget>
<output>0.006</output>
<gadget id="calculator">0.4 / 100</gadget>
<output>0.004</output>
<gadget id="calculator">1 - 0.006 - 0.004</gadget>
<output>0.99</output>
<gadget id="calculator">25.4 * 6_000 * 0.99</gadget>
<output>150_876</output>
<gadget id="calculator">1 + 0.006... | 26_646 | calc |
ape210k__00315716 | What is the product of the sum of 38 and 72 multiplied by their difference? | <gadget id="calculator">38 + 72</gadget>
<output>110</output>
<gadget id="calculator">72 - 38</gadget>
<output>34</output>
<gadget id="calculator">110 * 34</gadget>
<output>3_740</output>
<result>3_740</result> | 3_740 | calc |
ape210k__00977501 | The distance from Tianjin to Beijing is 140 kilometers. A car with a speed of 65 kilometers per hour, after driving for 2 hours, how many kilometers away will it be from Beijing? | <gadget id="calculator">65 * 2</gadget>
<output>130</output>
<gadget id="calculator">140 - 130</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00041226 | A three-digit number with 4 in the hundreds, 8 in the ones, and 1 in the tens, what is its triple? | <gadget id="calculator">418 * 3</gadget>
<output>1_254</output>
<result>1_254</result> | 1_254 | calc |
ape210k__00649987 | A train has 13 empty carriages and 196 people in 2 carriages. How many people can this train take? | <gadget id="calculator">196 / 2</gadget>
<output>98</output>
<gadget id="calculator">98 * 13</gadget>
<output>1_274</output>
<result>1_274</result> | 1_274 | calc |
ape210k__00041355 | Xiaohong has a 1-meter-long rope. She cuts 40 centimeters for the first time and 3 decimeters for the second time. How long is the rope? | <gadget id="calculator">1 * 100</gadget>
<output>100</output>
<gadget id="calculator">3 * 10</gadget>
<output>30</output>
<gadget id="calculator">100 - 40 - 30</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00532261 | The garment factory produces a batch of garments, and has already produced 80% of the plan. If it produces 200 more sets, it will be overfulfilled (1/5). How many sets of garments have actually been produced? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) + (1/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget i... | 500 | calc |
ape210k__00403551 | 106*666+666+666*893. | <gadget id="calculator">106 * 666</gadget>
<output>70_596</output>
<gadget id="calculator">666 * 893</gadget>
<output>594_738</output>
<gadget id="calculator">70_596 + 666 + 594_738</gadget>
<output>666_000</output>
<result>666_000</result> | 666_000 | calc |
aqua_rat__9KvQVwOUmTjAAeXs | Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm? Select.
A) 766 sq.cm B) 165 sq.cm C) 186 sq.cm D) 168 sq.cm E) 600 sq.cm | Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect at right angles in a rhombus. BE2 + AE2 = AB2 252 = 152 + AE2 AE = √(625 - 225)=
<gadget id="calculator">(625 - 225)</gadget>
<output>400</output>
√400= 20, AC = 20 + 20=
<gadget id="calculator">20 + 20</gadget>
<output>40</outp... | E | calc |
ape210k__00545462 | There are 1500 tons of fruit in the orchard, 20% of this batch of fruit is removed on the first day, and 30% of this batch of fruit is removed on the second day, how many tons of fruit are removed in total in two days. | <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">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1_500 * (3/10)</gadget>
<output>450</output>
<gadget id="calculator">30... | 750 | calc |
math_qa__Fi7yzgpqYOWaid2u | For an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. If exactly 25 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
Choose the correct choice fro... | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 300</gadget>
<output>75</output>
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">(7/20) * 200</gadget>
<output>70</output>
<gadget id="calculator">75 + 7... | C | calc |
gsm8k__DsrxAS9Gxls5DW19 | Alexa was on vacation for 3/4ths of the time it took Ethan to learn 12 fencing tricks. Joey spent half as much this time (that Ethan spent learning the tricks) learning to swim. If Alexa spent a week and 2 days on vacation, how many days did it take Joey to learn swimming? | There are 7 days in one week so one week and 2 days = 7+2 =
<gadget id="calculator">7+2</gadget>
<output>9</output>
9 days.
Call the time Ethan spends learning tricks e. Alexa spent 9 days on vacation which is 3/4ths of the time Ethan spent learning 12 fencing tricks, hence (3/4)e = 9 days.
If we multiply both sides o... | 6 | calc |
ape210k__00310350 | Xiao Ming read a 300-page story book (2/5), how many pages did Xiao Ming read? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">300 * (2/5)</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__01103239 | The mathematics interest group consists of 36 boys, and the number of girls is less than that of boys (1/3). How many girls are there? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">36 * (2/3)</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00799879 | To make a cuboid frame whose length, width and height ratio is 2:1:3, a 360 cm long iron wire is required. What is the size of the space occupied by this cuboid frame? | <gadget id="calculator">360 / 4</gadget>
<output>90</output>
<gadget id="calculator">2 + 1 + 3</gadget>
<output>6</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">90 * (1/6)</gadget>
<output>15</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 ... | 20_250 | calc |
aqua_rat__wrN04YnK7rU5ogYL | r=2^(n+2), then in terms of r, 9^n=
Pick one
A) r^2/81
B) r^2/16
C) r^2
D) r/3
E) r | Questions in terms of variables can be easily solved by plugging in some values: Say n = 0 r = 2^2 = 4 and you need the value of 4^n which is 4^0 = 1 So when you put r = 4 in the options, you should get 1. Only option (A) satisfies. Answer (r^2/16)
<result>B</result> | B | calc |
ape210k__00613399 | An equilateral triangle with side length 10 decimeters can be formed by a rope. If this rope is used to form an isosceles triangle whose base length is 8 decimeters, how many decimeters is the length of one side of this isosceles triangle? | <gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">30 - 8</gadget>
<output>22</output>
<gadget id="calculator">22 / 2</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00004721 | The People's Republic of China was established on October 1, 1949. By October 1, 2007, how old is she? | <gadget id="calculator">2_007 - 1_949</gadget>
<output>58</output>
<result>58</result> | 58 | calc |
ape210k__00040553 | The 35 students in the class are lined up in a row, the monitor is ranked 20th from the left, and the deputy monitor is ranked 21st from the right. How many other students are separated between the monitor and the deputy monitor. | <gadget id="calculator">20 - 35 - 2</gadget>
<output>-17</output>
<gadget id="calculator">21 + (-17)</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
math_qa__8vvGArwvNZwqpScw | Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers be in the ratio of 3 : 4, the numbers are Choose the correct option: A) 6 , 8 B) 9 , 12 C) 12 , 16 D) 16 , 20 E) none | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 * 224</gadget>
<output>2_016</output>
<gadget id="calculator">8 * 9</gadget>
<output>72</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">72 - 16</gadget>
<output>56</output>
<gadget id="... | A | calc |
ape210k__00573275 | To make the product of □4*3 a three-digit number, what is the minimum number in □. | <result>3</result> | 3 | calc |
ape210k__00618091 | cuboid energy-saving lamp box, 6 cm long, 4 cm wide, and 16 cm high. There is a rectangular parallelepiped carton. Measured from the inside, the length is 48 cm, the width is 24 cm, and the height is 32 cm. How many boxes of energy-saving lamps can this carton hold at most? | <gadget id="calculator">48 / 6</gadget>
<output>8</output>
<gadget id="calculator">24 / 4</gadget>
<output>6</output>
<gadget id="calculator">32 / 16</gadget>
<output>2</output>
<gadget id="calculator">8 * 6 * 2</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__01173169 | Xiaohua's family contracted a vegetable field. In March, they harvested 41.6 tons of cabbage. In April, they harvested 20% less than in March. How many tons of cabbage were harvested in April? | <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">41.6 * (4/5)</gadget>
<output>33.28</output>
<result>33.28</result> | 33.28 | calc |
math_qa__J0ZPFshugMrxiGK7 | If m and n are positive integer, and 1800m=n^3, what is the least possible value of m? Choose the correct choice from the following answers.
A) 2 B) 3 C) 15 D) 30 E) 45 | <gadget id="calculator">1_800 * 2</gadget>
<output>3_600</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">3_600 ** (1/3)</gadget>
<output>2*450**(1/3) = around 15.326189</output>
<gadget id="calculator">floor(2*450**(1/3))</gadget>
<output>15</output>
<r... | C | calc |
ape210k__01097293 | Dad has deposited 20,000 yuan in the bank with a deposit period of one year and an annual interest rate of 3.28%. How much money can be withdrawn after maturity? | <gadget id="calculator">3.28 / 100</gadget>
<output>0.0328</output>
<gadget id="calculator">20_000 * 0.0328 * 1</gadget>
<output>656</output>
<gadget id="calculator">20_000 + 656</gadget>
<output>20_656</output>
<result>20_656</result> | 20_656 | calc |
ape210k__00402720 | If 3x=30, then x/0.2=how much. | <gadget id="calculator">30 / 3</gadget>
<output>10</output>
<gadget id="calculator">10 / 0.2</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00500471 | yuan per bottle of milk, buy 3 bottles and get 1 bottle free. I bought 3 bottles at a time, how much is each bottle cheaper? | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">8 / 4</gadget>
<output>2</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">8 - 6</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__5WCJEZJ4k3GgO2gy | If a certain sample of data has a mean of 30.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? Pick one:
A) (14.0; 16.5)
B) (14.5; 21.0)
C) (14.0; 26.5)
D) (16.5; 26.0)
E) (21.0; 36.5) | 2.5 standard deviation equals to 2.5*2=
<gadget id="calculator">2.5*2</gadget>
<output>5</output>
5; 2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 25 to 35: The correct answer choice must cover all this range: only answer choice E does this. Answ... | E | calc |
aqua_rat__WQ5qWCIBoRs9Fty7 | Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 4%. What is the approximate interest he pays annually? Choose the correct choice.
A) $1750 B) $2000 C) $2150 D) $2500 E) $12000 | An easy way too attempt this is by approximation: For the first quarter, he pays 4% of 10,000 which is $400. So for the four quarters in the year, he will approximately play 400*4=
<gadget id="calculator"> 400*4</gadget>
<output>1_600</output>
1600 over the entire year. Because of compound interest it will be m... | A | calc |
ape210k__00430144 | A bamboo pole is 3.5 meters long. When the bamboo pole is inserted into the river, the part of the bamboo pole in the mud is 0.6 meters, and the part above the water is 0.7 meters. How deep is the river in meters? | <gadget id="calculator">3.5 - 0.6 - 0.7</gadget>
<output>2.2</output>
<result>2.2</result> | 2.2 | calc |
ape210k__00283965 | In our country, ginger, brown sugar and water are often decocted and taken to prevent colds (commonly known as "ginger soup"). Ginger, brown sugar and water are generally prepared in a ratio of 2:5:75 and then boiled. Li Gang's mother is going to boil 1640 grams of "Ginger Soup", how many grams of brown sugar should be... | <gadget id="calculator">2 + 5 + 75</gadget>
<output>82</output>
<gadget id="calculator">5 / 82</gadget>
<output>5/82 = around 0.060976</output>
<gadget id="calculator">1_640 * (5/82)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00983803 | The school held a mathematics competition, in which female students accounted for (2/5) of the total number of participants, and 40 more male students participated than (5/6) female students participated. How many female students participated in this competition? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(2/5) * (5/6)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (2/5) - (1/3)</gadget>
<output>4/15 = around 0.26666... | 60 | calc |
gsm8k__xZ3BIAeQcmXkUckR | Lolita has 54000 strawberry seeds. In each planting zone, 3123 seeds will be used. If she will accumulate 7 planting zones, how many strawberry seeds will remain? | The total amount of seeds used in the planting zones is 3123 x 7 =
<gadget id="calculator">3123*7</gadget>
<output>21_861</output>
21861.
The total amount of seeds left after planting is 54000 - 21861 =
<gadget id="calculator">54000-21861</gadget>
<output>32_139</output>
32139.
<result>32_139</result> | 32_139 | calc |
ape210k__00940335 | Wang Fang miscalculated 6*(△+15) as 6*△+15, which is much less than the original correct answer. | <result>75</result> | 75 | calc |
ape210k__00252599 | After Mr. Li retired, his monthly salary was 1,780 yuan. According to the regulations, he had to pay a 5% personal income adjustment tax on the part exceeding 800 yuan. What is the actual salary that Mr. Li received? | <gadget id="calculator">1_780 - 800</gadget>
<output>980</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">980 * (19/20)</gadget>
<output>931</output>
<gadget id="calculator">... | 1_731 | calc |
ape210k__00322299 | There is a barrel of oil, 26.57 kg was taken out for the first time, 12.37 kg less than the first time was taken out for the second time, and 1.5 times of the second time was taken out for the third time. How many kilograms of oil is taken out for the third time? | <gadget id="calculator">26.57 - 12.37</gadget>
<output>14.2</output>
<gadget id="calculator">14.2 * 1.5</gadget>
<output>21.3</output>
<result>21.3</result> | 21.3 | calc |
ape210k__01115981 | The area of a traffic sign is 31.5 square decimeters, if its base is 8 decimeters, how many decimeters is its height? | <gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">31.5 * (1/4)</gadget>
<output>7.875</output>
<result>7.875</result> | 7.875 | calc |
ape210k__00785131 | Xiaohua memorizes 2 English words every day. If she persists like this, how many English words can she memorize in the first half of this year? | <gadget id="calculator">31 + 28 + 31 + 30 + 31 + 30</gadget>
<output>181</output>
<gadget id="calculator">181 * 2</gadget>
<output>362</output>
<result>362</result> | 362 | calc |
ape210k__00451229 | □/7=9…□, what is the maximum remainder? | <gadget id="calculator">7 - 1</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00526445 | Use the four numbers 1, 2, 3, and 4 to form a multiplication formula of multiplying a three-digit number by a one-digit number, and the product obtained is the largest. | <gadget id="calculator">321 * 4</gadget>
<output>1_284</output>
<result>1_284</result> | 1_284 | calc |
ape210k__00219055 | The number of people who have reached the standard in class 6 and 3 accounts for all (6/7). The number of people who reach the standard and the number of people in the class are both between 40-50. | <result>49</result> | 49 | calc |
ape210k__00943583 | passenger car and a truck are driving towards each other from A and B at the same time. The passenger car is 80 kilometers per hour, and the truck is 70 kilometers per hour. After 5 hours, the two vehicles meet. How many kilometers are the distance between A and B? | <gadget id="calculator">80 + 70</gadget>
<output>150</output>
<gadget id="calculator">150 * 5</gadget>
<output>750</output>
<result>750</result> | 750 | calc |
aqua_rat__9dPTAXgYmkUCOlyH | Round trip time of 110 meters in a river is 16 min. the velocity of stream is 3m/min. what is the velocity of the person in the still water? Choose the correct choice from the following choices
A) 6
B) 7
C) 8
D) 9
E) 10 | let speed of boat be x.hence upstream=x-3 and downstream=x+3..so we have 55/x+3 + 55/x-3 = 16...solving we get x=8 ANSWER:8
<result>C</result> | C | calc |
ape210k__00590168 | The diameter of the train wheel is 0.8 meters. If it rotates 800 times per minute, how many kilometers does the train advance per hour? | <gadget id="calculator">60 / 1_000</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">3.14 * 0.8 * 800 * (3/50)</gadget>
<output>120.576</output>
<result>120.576</result> | 120.576 | calc |
aqua_rat__QEqwFLKQ3cPJKp7u | In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Choose the correct choice from the following options:
A) 21/46
B) 25/117
C) 1/50
D) 3/25
E) 4/25 | Let S be the sample space and E be the event of selecting 1 girl and 2 boys. Then, n(S)= Number ways of selecting 3 students out of 25 = 25C3 ` =(25 x 24 x 23)/(3 x 2 x 1) = 2300. n(E)= (10C1 x 15C2) =10 x((15 x 14)/(2 x 1)) = 1050. P(4/25) = n(4/25)/n(S)=(1050/2300)=21/46.
<result>E</result> | E | calc |
ape210k__00022945 | washing machine factory produced 300,000 washing machines in the first half of last year, which was (5/6) the output in the second half of the year. How many million units did this washing machine factory produce last year? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">30 / (5/6)</gadget>
<output>36</output>
<gadget id="calculator">36 + 30</gadget>
<output>66</output>
<result>66</result> | 66 | calc |
math_qa__oodTRNAe80F95lq8 | A mixture of 85 kg contains milk and water in the ratio 27 : 7. How much more water is to be added to
get a new mixture containing milk and water in the ratio 3:1? Choose the correct choice from the following options.
A) 5 kg B) 6.5 kg C) 7.5 kg D) 8 kg E) 9 kg | <gadget id="calculator">27 + 7</gadget>
<output>34</output>
<gadget id="calculator">27 / 34</gadget>
<output>27/34 = around 0.794118</output>
<gadget id="calculator">85 * (27/34)</gadget>
<output>135/2 = around 67.5</output>
<gadget id="calculator">7 / 34</gadget>
<output>7/34 = around 0.205882</output>
<gadget id=... | A | calc |
ape210k__00576073 | (1/5) of a number is 20 less than its (1/3), find this number. | <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">20 / (2/15)</gadget>
<output>150</output>
<result>150<... | 150 | calc |
ape210k__00660145 | A is in the north of the city, and B is in the south of the city. The distance between the two is 6.3km. A travels northward at a speed of 4.2km/h, and B travels southward at a speed of 4.8km/h. How many h, the distance between the two is 19.8km. | <gadget id="calculator">19.8 - 6.3</gadget>
<output>13.5</output>
<gadget id="calculator">4.2 + 4.8</gadget>
<output>9</output>
<gadget id="calculator">13.5 / 9</gadget>
<output>1.5</output>
<result>1.5</result> | 1.5 | calc |
ape210k__01155081 | Three good friends, Mingming, Xiaohu and Lili, went to pick strawberries. They picked 84 strawberries in total, Mingming picked 25, Lily picked 24, how many did Xiaohu pick? | <gadget id="calculator">84 - 25 - 24</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
aqua_rat__k1Kiq3u78SqBv22m | Find the difference between the local value and face value of 5 in the numeral 475240 is Choose one: A) 4990 B) 4890 C) 4995 D) 4885 E) 4775 | Explanation: (Local value of 5) - (Face value of 5) = (5000 - 5)=
<gadget id="calculator">(5000 - 5)</gadget>
<output>4_995</output>
4995 Answer: Option 4995
<result>C</result> | C | calc |
ape210k__00021137 | A book has 162 pages. Xiao Ming reads 35 pages on the first day and 45 pages on the second day. How many pages are left after two days? | <gadget id="calculator">162 - 35 - 45</gadget>
<output>82</output>
<result>82</result> | 82 | calc |
ape210k__00627219 | There is a road 800 meters long in the newly built Beichuan County. How many saplings are needed to plant a tree every 20 meters on both sides of the road? | <gadget id="calculator">800 / 20</gadget>
<output>40</output>
<gadget id="calculator">40 + 1</gadget>
<output>41</output>
<gadget id="calculator">41 * 2</gadget>
<output>82</output>
<result>82</result> | 82 | calc |
aqua_rat__qMAkauC1OYlzhVIN | Kira's seafood restaurant gets a delivery of fresh seafood every day, 7 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items per day delivered, then which of the following is the total cost, in dollars, o... | Answer is 7d + 7xc/100.
<result>D</result> | D | calc |
ape210k__00134297 | The diameter of a semicircular flower bed is 12m, what is its circumference in m? | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">3.14 * 6</gadget>
<output>18.84</output>
<gadget id="calculator">18.84 + 12</gadget>
<output>30.84</output>
<result>30.84</result> | 30.84 | calc |
ape210k__00846495 | If the cross-sectional area of a cuboid is 3 square decimeters and its length is 5 meters, what is its volume in cubic meters? | <gadget id="calculator">0.03 * 5</gadget>
<output>0.15</output>
<result>0.15</result> | 0.15 | calc |
aqua_rat__FEdmqOCYgVEb6SbV | Charlie, a painter, has 9 jars of paint: 4 are Red, 2 are yellow, and the rest are brown. Charlie will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no red paint 2) C2, if the paint cont... | the probability that it would be J1 or J2 is same as 1-()probability that it is 37/421 or 37/422 For 37/421-337/422(Brown)*237/421(Yellow)=3*2=
<gadget id="calculator">3*2</gadget>
<output>6</output>
6 For 37/422-337/423(all brown)=1 Total=937/423=84 1-7/84=77/84= 37/42 Answer : 37/42
<result>C</result> | C | calc |
aqua_rat__iYenLb92hYq0RD8E | Subtract. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
4/5 - 1/5= Choose the most appropriate option:
A) 1/5
B) 2/5
C) 3/5
D) 4/5
E) 5/5 | Here's how to subtract 1/5 from 4/5: 4/5− 1/5 Since our denominators match, we can subtract the numerators. 4 − 1 = 3 So the answer is: 3/5 answer :3/5
<result>C</result> | C | calc |
aqua_rat__EaR6FuaVYkoBmuoM | In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize? Choose the correct choice
A) 14 B) 19 C) 20 D) 24 E) 26 | Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways 4: Or 4p = — 4:- 4X3X2X1- 24 ways 24
<result>D</result> | D | calc |
ape210k__00311640 | Sunshine Primary School donated 960 books to the earthquake-stricken areas. There are 5 grades in the school, and each grade has 3 classes. How many books are donated by each class on average? | <gadget id="calculator">960 / 5 / 3</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
ape210k__01038919 | There are 150 peach trees in the orchard, 10 more apple trees than peach trees, and 20 fewer than three times the number of pear trees. How many pear trees are there? | <gadget id="calculator">150 + 10 + 20</gadget>
<output>180</output>
<gadget id="calculator">180 / 3</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00406266 | A bottle of oil weighs 500 grams. After eating 10% of the oil, how much does the bottle of oil weigh now? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">500 * (9/10)</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
aqua_rat__D5rMeaY3PjOKcdcS | Martha takes a road trip from point A to point B. She drives x percent of the distance at 40 miles per hour and the remainder at 50 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator? Choose the correct ... | total distance = d total time taken = x/(100*40) + (100-x)/(100*50) speed = distance / time gives numerator = 20000 Answer : 20,000
<result>E</result> | E | calc |
ape210k__00345910 | 0.0192/0.004/(1/5)*20. | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">0.0192 / 0.004 / (1/5)</gadget>
<output>24</output>
<gadget id="calculator">24 * 20</gadget>
<output>480</output>
<result>480</result> | 480 | calc |
aqua_rat__8NTvzW0DyMg3z91g | A sum of money becomes 7/6 of itself in 6 years at a certain rate of simple interest. The rate per annum is? Choose the correct answer:
A) 50/9 B) 50/13 C) 50/17 D) 25/9 E) 5 5/1 | Let sum = x. Then, amount = 7x/6 S.I. = 7x/6 - x = x/6; Time = 6 years. Rate = (100 * x) / (x * 6 * 6) = 25/9 %. Answer:25/9
<result>D</result> | D | calc |
ape210k__00399082 | A square log with a square cross section has a perimeter of 28 decimeters and the length of the square log is 5 meters. If the mass of wood per cubic meter is 0.45 tons, what is the mass of this square log? | <gadget id="calculator">28 / 4 / 10</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/10) * (7/10) * 5 * 0.45</gadget>
<output>1.1025</output>
<result>1.1025</result> | 1.1025 | calc |
aqua_rat__1eRKrOww6CMOGeNt | 0, 6, 18, 36, 60, 90, ?
What number should replace the question mark?
Choose the correct option.
A) 126
B) 120
C) 119
D) 126
E) 147 | 126 126
add 6, 12,18,24,.....
<result>A</result> | A | calc |
ape210k__00928365 | There are 400 girls in the sixth grade, and 80% of the boys are girls. How many students are there in the sixth grade? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">400 * (4/5)</gadget>
<output>320</output>
<gadget id="calculator">320 + 400</gadget>
<output>720</output>
<result>720</result> | 720 | calc |
ape210k__01211253 | The circumference of a cylindrical base is 31.4 cm and the height is 10 cm. What is its lateral area? | <gadget id="calculator">31.4 * 10</gadget>
<output>314</output>
<result>314</result> | 314 | calc |
ape210k__00898729 | 24 pieces of fruit candy and 36 pieces of chocolate were equally distributed to a group of students, and the result was that there were no fruit candies and chocolates left. How many students are there at most in this group? | <gadget id="calculator">2 * 2 * 3</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__V29suPQSZXFnRkhF | A walks at 10 kmph and 4 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A? Choose the correct answer.
A) 100km B) 150km C) 80km D) 120km E) 200km | Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 4 hours. x/10 - x/20 = 4 x = 80 km Answer is 80km
<result>C</result> | C | calc |
ape210k__00090848 | Wang Jun used 80 mung beans to do a germination test, and 78 of them germinated. What is the germination rate of mung beans? | <gadget id="calculator">78 / 80</gadget>
<output>39/40 = around 0.975</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(39/40) * 1</gadget>
<output>39/40 = around 0.975</output>
<result>39/40 = around 0.975</result> | 39/40 | calc |
ape210k__00316959 | The porcelain factory needs to pack and transport 768 vases away. Every 8 vases are packed in a box, and they are shipped in 4 times. How many boxes should be shipped each time? | <gadget id="calculator">768 / 8 / 4</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00286240 | The distance from Nanjing to Shanghai is about 350 kilometers. How many centimeters should be drawn on a map with a scale of 1:5,000,000? | <gadget id="calculator">1 / 5_000_000</gadget>
<output>1/5_000_000 = around 0</output>
<gadget id="calculator">(1/5_000_000) * 35_000_000</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00112955 | 7 (1/(())) is seven out of nine. | <gadget id="calculator">9 / 1</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
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