id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__ru3WXEgVFb7oG82j | A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year? Choose the correct choice from the following.
A) 32:46 B) 32:98 C) 32:45 D) 32:27 E) 32:42 | A : B (8000*4)+(4000*8) : (9000*6)+(6000*6) 64000 : 90000 32 : 45 Answer:32:45
<result>C</result> | C | calc |
ape210k__01171855 | Divide a circle into several equal small sectors on average, and then put together an approximate parallelogram. The perimeter of this parallelogram is 41.4dm. What is the area of the original circle in square decimeters? | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3.14 * 25</gadget>
<output>78.5</output>
<result>78.5</result> | 78.5 | calc |
ape210k__00136569 | If two cubes with a surface area of 6 square centimeters are put together to form a cuboid, what is the surface area of the cuboid? | <gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">12 - 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
aqua_rat__Mo7rIWKKStQArHMv | The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $30 less. What was the total cost cost of the vacation? Answers.
A) $200 B) $360 C) $400 D) $500 E) $600 | C for cost. P price per person. C= 3*P C=4*P-120 Substituting the value of P from the first equation onto the second we get P = 120. Plugging in the value of P in the first equation, we get C= 360. Which leads us to answer choice $360
<result>B</result> | B | calc |
aqua_rat__Ts9q6Eo2PFTYhgD2 | Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money Q would he earn per month? Answers:
A) $700 B) $754 C) $770 D) $782 E) $893 | OFFICIAL SOLUTION: (C) If Bill’s salary increased by 16% he would earn $812. Algebraically, this can be written as: $812 = 1.16S, where S is his current salary. Then S = $812/1.16=
<gadget id="calculator">812/1.16</gadget>
<output>700</output>
$700. Now that we know his current salary is $700, we can calculate... | C | calc |
math_qa__a81eKn3SGS2njSgY | On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?
Select
A) 10200
B) 10000
C) 9500
D) 9000
E) none | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 10_000</gadget>
<output>500</output>
<gadget id="calculator">10_000 - 500</gadget>
<output>9_500</output>
<gadget id="calculator">9_500 / 2</gadget>
<output>4_750</output>
<gadget id="calculator">4_750 * 2<... | B | calc |
ape210k__00785299 | "Origami Game" is 23.50 yuan each, and "Grimm's Fairy Tales" is 19.50 yuan each. Xiaohua brought 50 yuan to buy these two books, how much money is left? | <gadget id="calculator">23.5 + 19.5</gadget>
<output>43</output>
<gadget id="calculator">50 - 43</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__01124933 | After a bundle of cables is cut off (2/5), another 20 meters are used, and the remaining part is exactly 50% of the total length. How many meters is this bundle of cables? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (2/5) - (1/2)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">20 / (1/10)</gadget>
<output>200</output>
<result>200</re... | 200 | calc |
gsm8k__UuxVztZy3nxN7hhP | For a fundraiser, Nellie needs to sell 45 rolls of gift wrap. So far, she has sold 1 roll to her grandmother, 10 rolls to her uncle, and 6 rolls to a neighbor. How many more rolls of gift wrap does Nellie need to sell? | The number of rolls already sold is 1 + 10 + 6 =
<gadget id="calculator">1+10+6</gadget>
<output>17</output>
17.
Nellie needs to sell 45 - 17 = 28 more rolls of gift wrap.
<result>28</result> | 28 | calc |
ape210k__00298712 | A cuboid-shaped gasoline barrel has a bottom area of 18 decimeters and a height of 6 decimeters. If 1 liter of gasoline weighs 0.75 kilograms, how many kilograms of gasoline can this gasoline barrel hold? | <gadget id="calculator">6 / 1</gadget>
<output>6</output>
<gadget id="calculator">18 * 6</gadget>
<output>108</output>
<gadget id="calculator">0.75 * 108</gadget>
<output>81</output>
<result>81</result> | 81 | calc |
ape210k__01131809 | The turnover of a shopping mall in September is 78,000 yuan. According to regulations, tax should be paid according to (1/20) of the turnover. How much tax should this shopping mall pay in September? | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">7.8 * (1/20)</gadget>
<output>0.39</output>
<result>0.39</result> | 0.39 | calc |
ape210k__01202137 | If the number of boys in a class is 20% less than the number of girls, how much more girls than boys? | <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">(1/5) / (4/5)</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
aqua_rat__TVHNweiN3Aw2onA5 | How many such 4 consecutive numbers are there less than 1000 when added gives a sum which is divisible by 10? For example, 16 +17+18+19=70. Choose the most appropriate option.
A) 22 B) 200 C) 87 D) 99 E) 77 | Explanation: Let the numbers be n, n+1, n+2, n+3. Sum of these numbers = 4n + 6. Let 4n + 6 = 10k So n 4 + 6=
<gadget id="calculator"> 4 + 6</gadget>
<output>10</output>
10k So n= 10k−6410k−64 = 2k−1+2k−242k−1+2k−24 = 2k−1+k−122k−1+k−12 So k takes only odd numbers. For k = 1, n = 1 For k = 3, n = 6 ... | B | calc |
ape210k__00545158 | The little sloppy wrote 75*(□+2) as 75*□+2 by mistake, so how much is the difference between the result he got and the correct result? | <gadget id="calculator">75 * 2</gadget>
<output>150</output>
<gadget id="calculator">150 - 2</gadget>
<output>148</output>
<result>148</result> | 148 | calc |
ape210k__00311014 | A's number is 108, which is 3 times that of B's number. What is the sum of the numbers A and B? | <gadget id="calculator">108 / 3</gadget>
<output>36</output>
<gadget id="calculator">108 + 36</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
ape210k__00193973 | Write a minimal fraction that is greater than (1/6) but smaller than (1/4): how much. | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00678153 | (6/7)L of oil is contained in a vial with a capacity of (3/7)L, how many vials are needed? | <gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">(6/7) / (3/7)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00196520 | 1002 is 427 less than a number, what is this number | <gadget id="calculator">1_002 + 427</gadget>
<output>1_429</output>
<result>1_429</result> | 1_429 | calc |
ape210k__00668221 | In the first three rope skipping competitions, Xiaohua's scores were 135, 146, and 150 respectively. In order to make the average score of the four rope skipping times reach 148, how many times must Xiaohua jump for the fourth time? | <gadget id="calculator">148 * 4</gadget>
<output>592</output>
<gadget id="calculator">592 - 135 - 146 - 150</gadget>
<output>161</output>
<result>161</result> | 161 | calc |
ape210k__00649143 | The truck transports 3120 boxes of eggs, the first truck transports 3/8 of the total number, the ratio of the number of boxes transported by the second truck to the first truck is 5:6. How many boxes did the second truck ship? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(3/8) / 6</gadget>
<output>1/16 = around 0.0625</output>
<gadget id="calculator">3_120 * (1/16)</gadget>
<output>195</output>
<gadget id="calculator">195 * 5</gadget>
<output>975</output>
<result>975</result> | 975 | calc |
ape210k__00490629 | Xiaohong's mother is 35 years old this year, 2 years more than three times Xiaohong's age. How old is Xiaohong? (column equation solution) | <gadget id="calculator">35 - 2</gadget>
<output>33</output>
<gadget id="calculator">33 / 3</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
aqua_rat__yiCNBtZtMrTiYGUE | John and Steve are speed walkers in a race. John is 14 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push? Choose the correct choice from th... | Let t be the time that John spent for his final push. Thus, per the question, 4.2t = 3.7t+14+2 ---> 0.5t = 16 ---> t = 32 seconds. 32 seconds is the correct answer.
<result>D</result> | D | calc |
aqua_rat__uskOoy877rifHUyP | Gary’s Gas Station serves an average of 13 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week? Choose the most appropriate option
A)... | 6 a.m. to 10 p.m. = 16 hours Number of cars serviced on weekdays = (16 * 9 * 5) Number of cars serviced on Saturday = (16 * 13) Number of cars serviced on Sunday = (16 * 10) Number of cars served in a week = 16(45 + 13 + 10) = 16 * 68=
<gadget id="calculator">16 * 68</gadget>
<output>1_088</output>
1088 1,08... | A | calc |
math_qa__6T0tjHIP2xaQgIjX | A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $17 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of ... | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 17</gadget>
<output>17/5 = around 3.4</output>
<gadget id="calculator">(17/5) + 17</gadget>
<output>102/5 = around 20.4</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calcu... | D | calc |
aqua_rat__mGvG0ZGOYk5F5437 | Mrs. Napier has 67 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over? Choose the correct choice from the following choices:
A) 2-5 B) 7-4 C) 2-6 D) 2-3 E) 2-8 | 67/9 = 7 R 4 Mrs. Napier will give each student 7 stickers and there will be 4 left over. correct answer 7-4
<result>B</result> | B | calc |
ape210k__00893085 | The number of female students in class 61 is 80% of the number of male students. Recently, two female students came. At this time, the number of female students is 88% of the number of male students. How many people are there in the class now? | <gadget id="calculator">88 / 100</gadget>
<output>22/25 = around 0.88</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(22/25) - (4/5)</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">2 / (2/25)</gadget>
<output>25</output>
<gadget id="... | 47 | calc |
ape210k__00604489 | If A*(4/5)=B/(4/5) (both A and B are 0), what is the ratio of A to B | <gadget id="calculator">25 / 16</gadget>
<output>25/16 = around 1.5625</output>
<result>25/16 = around 1.5625</result> | 25/16 | calc |
ape210k__00803535 | An isosceles trapezoidal iron sheet, the length of the upper base is 8cm, the length of the lower base is 10cm, and the height is 6cm. It is used to cut into the largest circular piece. How much cm should be cut off?**2. | <gadget id="calculator">8 + 10</gadget>
<output>18</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">18 * 3</gadget>
<output>54</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</output>
<gadget id="c... | 25.74 | calc |
ape210k__00005079 | A batch of 240 parts, A alone to complete (1/2) months, B alone to complete (1/3) months. How many months can the two work together to complete. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / (1/2)</gadget>
<output>2</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / (1/3)</gadget>
<output>3</output>
<gadget id="calculator">2 + 3</gadget>
<o... | 1/5 | calc |
ape210k__00241566 | Use "◎" to represent a new operation symbol, known: 2◎3=2+3+4; 7◎2=7+8; 3◎5=3+4+5+6+7,...Click here Law, if n◎8=68, then what is n? | <result>5</result> | 5 | calc |
ape210k__00056539 | Use a cup to pour water into the empty bottle. If 4 cups of water are poured into it, the weight of the whole bottle is 560 grams. If 6 cups of water are poured into it, the weight of the whole bottle is 650 grams. How many grams does this empty bottle weigh? | <gadget id="calculator">650 - 560</gadget>
<output>90</output>
<gadget id="calculator">6 - 4</gadget>
<output>2</output>
<gadget id="calculator">90 / 2</gadget>
<output>45</output>
<gadget id="calculator">45 * 4</gadget>
<output>180</output>
<gadget id="calculator">560 - 180</gadget>
<output>380</output>
<result>3... | 380 | calc |
ape210k__00207987 | Obviously he is drawing a plan, but he uses 1 centimeter on the picture to represent the actual distance of 500 meters, and how many centimeters should be drawn for a distance of 1.5 kilometers. | <gadget id="calculator">1.5 * 1_000</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 / 500</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00401946 | Find the pattern: (1/2), (3/4), (9/8), how much. | <gadget id="calculator">9 * 3</gadget>
<output>27</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">27 / 16</gadget>
<output>27/16 = around 1.6875</output>
<result>27/16 = around 1.6875</result> | 27/16 | calc |
ape210k__00409269 | The area of a square flower bed is 1 hectare, what is its side length in meters | <gadget id="calculator">100 / 10</gadget>
<output>10</output>
<gadget id="calculator">0.1 * 0.1 * 10 * 1_000</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
aqua_rat__LTczKcPNKqiKOt00 | Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 8/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month wa... | # of basic stereos was 2/3 of total and # of deluxe stereos was 1/3 of total, let's assume total=15, then Basic=10 and Deluxe=5. Now, if time needed to produce one Deluxe stereo is 1 unit than time needed to produce one Basic stereo would be 8/5 units. Total time for Basic would be 10*1=
<gadget id="calculator"> 10... | C | calc |
ape210k__00221463 | A total of 15 math exercises. 8 points are awarded for each correct answer, and 4 points are deducted for wrong answers. Xiaogang scored 84 points. How many questions did he answer correctly? | <gadget id="calculator">15 * 8</gadget>
<output>120</output>
<gadget id="calculator">120 - 84</gadget>
<output>36</output>
<gadget id="calculator">8 + 4</gadget>
<output>12</output>
<gadget id="calculator">36 / 12</gadget>
<output>3</output>
<gadget id="calculator">15 - 3</gadget>
<output>12</output>
<result>12</r... | 12 | calc |
ape210k__00314718 | How many zeros are there at the end of the product of 450*20? | <result>3</result> | 3 | calc |
ape210k__00355141 | 3 tons is 40% less than how many tons. | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">3 / (3/5)</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__IpPlo0AbhVEsMZgS | The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8215 for a computer table, then what was the cost price of the computer table? Pick:
A) 6727 B) 6887 C) 6728 D) 6625 E) 2871 | : CP = SP * (100/(100 + profit%)) = 8215(100/124) = Rs. 6625. Answer: 6625
<result>D</result> | D | calc |
aqua_rat__IZ18cmxRi9wvofrp | Look at this series: 2, 1, (1/2), (1/4), (1/8), ... What number should come next? Select the correct option.
A) (1/3) B) (1/5) C) (1/6) D) (1/10) E) (1/16) | This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result. 4/2=
<gadget id="calculator">4/2</gadget>
<output>2</output>
2 2/2=
<gadget id="calculator">2/2</gadget>
<output>1</output>
1 1/2= 1/2 (1/2... | E | calc |
aqua_rat__0d5UxqrenQ8pCp5O | Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)
Pick: A) 1/20 B) 1/21 C) 2/13 D) 2/15 E) None | (2 − 1/3) (1 − 1/4)(1 − 1/5)..... (1 − 1/99)(1 − 1/100) 5/3 × 3/4 × 4/5 × ....... 98/99 × 99/100 = 5/100 = 1/20 1/20)
<result>A</result> | A | calc |
ape210k__00322617 | A car travels from point A to point B at 58 kilometers per hour for the first 3 hours, and a total of 312 kilometers for the next 5 hours. How many miles per hour does the car travel on average? | <gadget id="calculator">58 * 3</gadget>
<output>174</output>
<gadget id="calculator">174 + 312</gadget>
<output>486</output>
<gadget id="calculator">3 + 5</gadget>
<output>8</output>
<gadget id="calculator">486 / 8</gadget>
<output>243/4 = around 60.75</output>
<result>243/4 = around 60.75</result> | 243/4 | calc |
ape210k__00419779 | There are x number of story books in the library, and the number of technology books is 5 times that of story books. How many of these two books are there? | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00056702 | What is the reciprocal of 12(3/4) | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">12 * (3/4)</gadget>
<output>9</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<result>1/9 = around 0.111111</result> | 1/9 | calc |
ape210k__00494698 | Xiaoxiao saved 35 yuan of pocket money, and she donated 60% of it to the earthquake-stricken areas in Sichuan. How much did Xiaoxiao donate? | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">35 * (3/5)</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00683183 | The sum of five consecutive odd numbers is 75, the smallest of which is one. | <gadget id="calculator">75 - 2 - 4 - 6 - 8</gadget>
<output>55</output>
<gadget id="calculator">1 + 1 + 1 + 1 + 1</gadget>
<output>5</output>
<gadget id="calculator">55 / 5</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00138710 | There is a cuboid whose length, width and height are all in centimeters. The areas of its three adjacent faces are 96 square centimeters, 40 square centimeters and 60 square centimeters. What is the volume of this cuboid in cubic centimeters? | <result>480</result> | 480 | calc |
aqua_rat__kMZaHwzFPMUXRVug | You collect baseball cards. Suppose you start out with 13. Maria takes half of one more than the number of baseball cards you have. Since you're nice, you give Peter 1 baseball card. Since his father makes baseball cards, Paul decides to triple your baseball cards. How many baseball cards do you have at the end? Choos... | Solution Start with 13 baseball cards. Maria takes half of one more than the number of baseball cards you have. So Maria takes half of 13 + 1 which is 7, so you're left with 13 - 7=
<gadget id="calculator"> 13 - 7</gadget>
<output>6</output>
6. Peter takes 1 baseball card from you: 6 - 1=
<gadget id="calc... | A | calc |
ape210k__00092488 | 4 people make one phone call for every two people, how many times can they make a phone call? | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__FfuAP6GHOHqbAiMw | The current birth rate per ten thousand is 620, whereas corresponding death rate is 110 per ten thousand. The net growth rate in terms of population increase in percent is given by
Answers:
A) 6.5 B) 4.5 C) 5.5 D) 5.2 E) 5.1 | Sol. Net growth on 1000 = (620 - 110)=
<gadget id="calculator">(620 - 110)</gadget>
<output>510</output>
510. Net growth on 100= (510/10000 × 100)% = 5.1%. Answer: 5.1
<result>E</result> | E | calc |
aqua_rat__LI9jpJaRg0kqbOoi | At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $130. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola? Select the correct option.
A) $21
B) $27
C) $31
D) $61
E) It cannot be d... | let's suppose that the price of a burger is BB, of a shake - SS and that of a cola is CC. We can then construct these equations: 3B+7S+C=130 4B+10S+C=164.5 Subtracting the first equation from the second gives us B+3S=34.5 Now if we subtract the new equation two times from first or 3 times from second we will ge... | D | calc |
ape210k__01153733 | Plant a batch of saplings, the number of unplanted saplings is the number of surviving trees (1/49), what is the survival rate? | <gadget id="calculator">1 + 49</gadget>
<output>50</output>
<gadget id="calculator">49 / 50</gadget>
<output>49/50 = around 0.98</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(49/50) * 1</gadget>
<output>49/50 = around 0.98</output>
<result>49/50 = around 0.98</resul... | 49/50 | calc |
ape210k__00660077 | The quotient of which formula is equal to the quotient of 79.5/0.13. How many | <gadget id="calculator">79.5 / 0.13</gadget>
<output>611.538462</output>
<result>611.538462</result> | 611.538462 | calc |
ape210k__00105801 | Doudou's Chinese, Mathematics, and English subjects have an average score of 91, of which Chinese is 88 and Mathematics is 94. What is his English score? | <gadget id="calculator">91 * 3</gadget>
<output>273</output>
<gadget id="calculator">273 - 88 - 94</gadget>
<output>91</output>
<result>91</result> | 91 | calc |
ape210k__00314670 | A cartoon starts at 6:10 and ends at 7:25, how many hours does it broadcast? | <result>1.25</result> | 1.25 | calc |
aqua_rat__d4Zl2XPpedGXmaSh | find the number of 5 digits numbers can be formed using the digits 1,2,3,4,5 if no digit is reapeted and two adjoint digits are not together Choices:
A) 11 B) 12 C) 13 D) 14 E) 15 | 13524 14253 24153 24135 25314 31425 31524 + 6 more numbers replicas of above numbers (total 12) ANSWER:12
<result>B</result> | B | calc |
math_qa__AU3Th2qK1RLxbIr8 | There are 56 lights which are functional and each is controlled by a separate On/Off switch. Two children X and Y start playing with the switches. X starts by pressing every third switch till he reaches the end. Y, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position ... | <gadget id="calculator">4 * 10</gadget>
<output>40</output>
<gadget id="calculator">56 - 40</gadget>
<output>16</output>
<gadget id="calculator">16 + 1</gadget>
<output>17</output>
<result>C</result> | C | calc |
ape210k__00244303 | Xiaoyu's family went to pick strawberries. Grandpa, father, grandfather, aunt, Xiaoyu, and uncle picked cherry tomatoes. Grandma, mother, grandfather, and Xiaoyu picked strawberries. How many people in Xiaoyu's family went to pick strawberries? | <gadget id="calculator">6 + 4</gadget>
<output>10</output>
<gadget id="calculator">10 - 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00631548 | Aunt Zhang spent (1/6) hours washing vegetables, (2/5) hours cooking, and (1/2) hours cooking soup. How many hours did Aunt Zhang spend doing these things? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/6) + (2/5) + (1/2)</gadget>
<output>16/15 = around 1.066667</outpu... | 16/15 | calc |
ape210k__00205725 | If a certain juvenile book is sold at the original price, the profit will be 0.24 yuan for each book sold; if it is sold at a reduced price, the book sales will double and the profit will increase by 0.5 times. Q: How much is the price reduction for each book? | <gadget id="calculator">0.24 * 2</gadget>
<output>0.48</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">0.24 * (3/2)</gadget>
<output>0.36</output>
<gadget id="calculator">0.48 - 0.3... | 0.06 | calc |
ape210k__01004467 | The sixth grade carried out the origami crane blessing activity. Class 6 1 folded 5 less of the total (5/9), and Class 6 2 folded 11 more of the total (3/7). Do you know how much the two classes folded in total? A paper crane? (solution by equation) | <gadget id="calculator">11 - 5</gadget>
<output>6</output>
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">1 - (5/9) - (3/7)</gadget>
<output>1/63 = around 0.015873</output>
<gadget id... | 378 | calc |
ape210k__00305764 | The distance between A and B is 6 kilometers. A person walks from A to B. The first half of the time averages 80 meters per minute, and the second half of the time averages 70 meters per minute. Ask him how many minutes it took for the second half of the journey? | <gadget id="calculator">80 + 70</gadget>
<output>150</output>
<gadget id="calculator">6_000 / 150</gadget>
<output>40</output>
<gadget id="calculator">40 * 2</gadget>
<output>80</output>
<gadget id="calculator">6_000 / 2 / 80</gadget>
<output>75/2 = around 37.5</output>
<gadget id="calculator">80 - (75/2)</gadget>
... | 85/2 | calc |
ape210k__00450796 | There are 480 kilograms of fruit in the fruit shop, of which apples account for (3/8), how many kilograms are there apples? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">480 * (3/8)</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
aqua_rat__CcIhb2aC03tGKHJn | If 5 less than x is 4 greater than y, then a number z that is 3 greater than x reduced by y is equal to Choices
A) 4 B) 12 C) 14 D) y + 9 E) y + 14 | 12 it is....nice one.... 12
<result>B</result> | B | calc |
ape210k__00825453 | Xiaoming kicks 25 shuttlecocks in one minute, and Xiaojun kicks 18 shuttlecocks in one minute. What fraction of Xiaoming's number of shuttlecocks does Xiaojun kick in one minute? | <gadget id="calculator">18 / 25</gadget>
<output>18/25 = around 0.72</output>
<result>18/25 = around 0.72</result> | 18/25 | calc |
ape210k__01049699 | The automatic sightseeing elevator of the underwater world travels 50 meters per minute, and the whole journey takes 16 minutes. How many meters is the total length? | <gadget id="calculator">50 * 16</gadget>
<output>800</output>
<result>800</result> | 800 | calc |
ape210k__00177965 | There are 840 apple trees, pear trees, and peach trees in the orchard. The number of pear trees is twice that of peach trees, and the number of apple trees is three times that of peach trees. How many apple trees are there? | <gadget id="calculator">2 + 3 + 1</gadget>
<output>6</output>
<gadget id="calculator">840 / 6</gadget>
<output>140</output>
<gadget id="calculator">140 * 3</gadget>
<output>420</output>
<result>420</result> | 420 | calc |
math_qa__YeHeSyIIuY4Tsbh6 | What is the speed of the stream if a canoe rows upstream at 3km/hr and downstream at 12km/hr
Choose the correct choice from the following answers.
A) 1 kmph B) 4 kmph C) 3 kmph D) 2 kmph E) 4.5 kmph | <gadget id="calculator">12 - 3</gadget>
<output>9</output>
<gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<result>E</result> | E | calc |
ape210k__00194481 | On a map with a scale of 1:800000, the measured distance between A and B is 15 cm. What is the actual distance between A and B in kilometers? | <gadget id="calculator">1 / 800_000</gadget>
<output>1/800_000 = around 0.000001</output>
<gadget id="calculator">15 / (1/800_000) / 100_000</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__01197359 | There are 5 classes in the third grade, each class has 4 groups, each group plants 16 trees, how many trees are planted in total? | <gadget id="calculator">16 * 4 * 5</gadget>
<output>320</output>
<result>320</result> | 320 | calc |
ape210k__00854999 | There are 6 bookshelves in the school library, each shelf has 5 layers, and each layer can hold 36 books. How many books can be placed in this bookshelf? | <gadget id="calculator">36 * 5 * 6</gadget>
<output>1_080</output>
<result>1_080</result> | 1_080 | calc |
ape210k__00459862 | A conical sand pile with a bottom circumference of 12.56 meters and a height of 3 meters. Use this pile of sand to pave a road with a thickness of 2 cm on a road with a width of 10 meters. How many meters can you pave? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">12.56 / 6.28</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">2 / 100</gadget>
<output>1... | 62.8 | calc |
ape210k__00543785 | Use 6 meters of red cloth to make exactly 8 safflowers, what fraction of the cloth is used for each safflower? How many meters of cloth is used for each safflower? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / (1/8)</gadget>
<output>8</output>
<gadget id="calculator">6 / 8</gadget>
<output>3/4 = around 0.75</output>
<result>3/4 = around 0.75</result> | 3/4 | calc |
ape210k__00759197 | The original price of a story book is 24.8 yuan. Now it is sold at 40% off the original price. How much is it cheaper? | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">24.8 * (2/5)</gadget>
<output>9.92</output>
<result>9.92</result> | 9.92 | calc |
ape210k__00367524 | A cone has a volume of 18 cubic meters and a height of 1.8 meters. What is the area of the base of this cone? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">18 / (1/3) / 1.8</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00502252 | If the circumference of a circle is 15.7cm, what is the radius of the circle (take 3.14 for π). | <gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">15.7 / 6.28</gadget>
<output>2.5</output>
<result>2.5</result> | 2.5 | calc |
ape210k__00071497 | What is the formula that is equal to the result of 6+3.4 | <gadget id="calculator">6 + 3.4</gadget>
<output>9.4</output>
<result>9.4</result> | 9.4 | calc |
ape210k__00268710 | A car wants to drive from place A to place B, and travels 160 kilometers in 2 hours. At this speed, it can reach place B in another 3 hours. How many kilometers are there between A and B? (Solve using ratio method) | <gadget id="calculator">160 / 2</gadget>
<output>80</output>
<gadget id="calculator">80 * 2</gadget>
<output>160</output>
<gadget id="calculator">80 * 3</gadget>
<output>240</output>
<gadget id="calculator">160 + 240</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__01180255 | There is a square lawn in the campus, the side length is 15m, and its area is equal to the area of another rectangular lawn. It is known that the width of a rectangular lawn is 9m, what is its length? | <gadget id="calculator">15 * 15</gadget>
<output>225</output>
<gadget id="calculator">225 / 9</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
math_qa__YHS1bNayj91Ogiht | Sahil purchased a machine at Rs 13000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it. Answers.
A) rs . 22000 B) rs . 24500 C) rs . 26500 D) rs . 28500 E) none of these | <gadget id="calculator">13_000 + 5_000</gadget>
<output>18_000</output>
<gadget id="calculator">18_000 + 1_000</gadget>
<output>19_000</output>
<gadget id="calculator">19_000 / 100</gadget>
<output>190</output>
<gadget id="calculator">190 * 50</gadget>
<output>9_500</output>
<gadget id="calculator">19_000 + 9_500</... | D | calc |
aqua_rat__vcevdaIgyXsS7xAt | There is a 4 digit no. in which 3rd digit is twice of first one. Second digit is the sum of first and third. Fourth digit is twice of third. What is the no? Choose the correct option.
A) 1224 B) 1324 C) 1444 D) 1524 E) 1354 | Let the 4-digit no. be "abcd" c = 2*a b=a+c d = 2*c => d=4a abcd => (a)(a+c)(2a)(4a) Possible values of a ll be 1 nd 2... Bcozzz a>2 implies d>10....Digits should ranges between 0 nd 9... If a=1, then c=2,d=4, b=3... The no. is 1324 If a=2, then c=4,d=8, b=6... The no. is 2648 Ans : 1324 (or... | B | calc |
aqua_rat__PbUZwGwEHCBjp7aF | The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 5 years ago? Select the correct option
A) 152460 B) 214560 C) 138214 D) 210000 E) 200000 | population 2 years ago = 176400/(1 + 5/100)^5 Answer is 138214
<result>C</result> | C | calc |
aqua_rat__dZSg1CfFDxyV0hVT | During one month at a particular restaurant, 1/6 of the burgers sold were veggie burgers and 1 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers? Answers
A) x/8 B) x/5 C) 2x/3 D) 3x/4 E) 4x/5 | Let y be the number of total burgers. veggie = y/6 , non veggie = 5y/6 1/4 of the rest of the burgers sold were double-meat => 5y/6 * 1 = double meat = x => y/6 = x/5 = veggie Hence x/5
<result>B</result> | B | calc |
aqua_rat__3gC1d7McFEsOql7G | How many cubes of 8cm edge can be cut out of a cube of 16cm edge Choose the correct choice: A) 36 B) 2 C) 8 D) 48 E) None of these | Explanation: number of cubes=(16 x 16 x 16) / (8 x 8 x 8) = 8 Answer: 8
<result>C</result> | C | calc |
aqua_rat__yc9UAV5w2IrmZOmr | The average marks of 25 students in a class is 100. But a student mark is wrongly noted as 60 instead of 10 then find the correct average marks?
Choose the correct choice from the following answers:
A) A)78
B) B)82
C) C)98
D) D)91
E) E)85 | correct avg marks = 100+(10-60)/25 avg = 100-2=
<gadget id="calculator">100-2</gadget>
<output>98</output>
98 Answer is 98
<result>C</result> | C | calc |
ape210k__00016758 | Lingling's home is only 1,620 meters away from the school. Her father took her to school in 3 minutes by motorcycle, and it took 25 minutes for her father to go to work at the same speed. How far is Lingling's home from her father's unit? | <gadget id="calculator">1_620 / 3</gadget>
<output>540</output>
<gadget id="calculator">540 * 25</gadget>
<output>13_500</output>
<result>13_500</result> | 13_500 | calc |
ape210k__00440469 | □/△=17...8, then what is the minimum value of △ | <gadget id="calculator">8 + 1</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00388490 | The length of an adult's foot is about the height (1/7). If an adult's height is x meters, then how many meters is his foot length? | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<result>1/7 = around 0.142857</result> | 1/7 | calc |
ape210k__00615894 | Solution ratio: x: (x+24)=4:6. | <gadget id="calculator">4 / 6</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 24</gadget>
<output>16</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">16 / (1/3)</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00166155 | The circumference of the bottom surface of a conical grain pile is 18.84 meters, and the height is 9 meters. If there is no cubic decimeter and the weight of the grain is 780 kilograms, how heavy is the grain? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">18.84 / 3.14 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">(1/3) * 3.14 * 9 * 9</gadget>
<output>84.78</output>
<gadget id="calculator">84.78 * 7... | 66_128.4 | calc |
aqua_rat__CFBxZp1Io6VP9Yzq | How many questions should I solve the next hour to increase my average to 15 questions, if my average for last 2 hours has been 12 questions per hour. Choose one:
A) 8
B) 10
C) 12
D) 18
E) 21 | Answer: Solution Average of 3 days will be 15 ∴ Required questions = (3x15)-(2x12) = 45-24=
<gadget id="calculator">45-24</gadget>
<output>21</output>
21. Answer 21
<result>E</result> | E | calc |
ape210k__01215073 | On a map with a scale of 1:100000, what is the actual distance in kilometers represented by 2 centimeters? | <gadget id="calculator">1 / 100_000</gadget>
<output>1/100_000 = around 0.00001</output>
<gadget id="calculator">2 / (1/100_000) / 100_000</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00596511 | What is the sum of all composite numbers up to 10? | <gadget id="calculator">4 + 6 + 8 + 9 + 10</gadget>
<output>37</output>
<result>37</result> | 37 | calc |
ape210k__00607259 | A cylindrical pool has a bottom area of 12.56 square meters and a depth of 3 meters. Pump all the water from the pool into another cuboid pool with a length of 8 meters, a width of 3 meters, and a depth of 2 meters. How many centimeters is the water surface from the mouth of the pool? | <gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">3 / 24</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">12.56 * (1/8)</gadget>
<output>1.57</output>
<gadget id="calculator">2 - 1.57</gadget>
<output>0.43</output>
<gadget id="calculator">0.43 * 100</gadget>
<out... | 43 | calc |
ape210k__00051938 | The bookstore bought 25 sets of story books and 18 sets of literature and art books, and the number of science books purchased was 12 times the total number of story books and literature and art books. How many sets of technology books does the bookstore buy? | <gadget id="calculator">25 + 18</gadget>
<output>43</output>
<gadget id="calculator">43 * 12</gadget>
<output>516</output>
<result>516</result> | 516 | calc |
ape210k__00564317 | Calculate with a simple method: 24.6*4.6+246*0.44+24.6. | <gadget id="calculator">24.6 * 4.6</gadget>
<output>113.16</output>
<gadget id="calculator">246 * 0.44</gadget>
<output>108.24</output>
<gadget id="calculator">113.16 + 108.24 + 24.6</gadget>
<output>246</output>
<result>246</result> | 246 | calc |
ape210k__00971031 | The area of a triangular vegetable field is (5/2) hectares, and the length of the base is (2/5) meters. How many meters high? | <gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">2 / (2/5)</gadget>
<output>5</output>
<gadget id="calculator">(5/2) * 5</gadget>
<output>25/2 = around 12.5</output>
<result>25/2 = around 12.5</r... | 25/2 | calc |
aqua_rat__lbyFzUMQUgXOgeAA | A certain number when divided by 899 leaves the remainder 63. Find the remainder when the same number is divided by 29. Choose the most appropriate option: A) 5 B) 4 C) 1 D) 0 E) Can not be determined | Sol.(a) Number = 899Q + 63, where Q is quotient = 31 × 29 Q + (58 + 5) = 29 [ 31Q + 2] + 5 ∴ Remainder = 5 5nswer 5
<result>A</result> | A | calc |
aqua_rat__ufvGQZdgcb9yAtQK | A bag contains 6 black and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Answers:
A) 4 B) 4/3 C) 4/5 D) 4/9 E) 1/2 | Let number of balls = (6 + 6)=
<gadget id="calculator">(6 + 6)</gadget>
<output>12</output>
12. Number of white balls= 6. P (drawing a white ball) = 6/12 = 1/2 Hence Answer is 1/2
<result>E</result> | E | calc |
ape210k__00118162 | In August of a certain year, rainy days are less than sunny days (1/3), cloudy days are less than sunny days (3/5), how many sunny days are there in this month? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/3) + (2/5) + 1</gadget>
<output>31/15 = around 2.066667</outpu... | 15 | calc |
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