id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00877701 | How many kilometers is 20 times 100 meters? | <gadget id="calculator">20 / 1_000</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">100 * (1/50)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00936481 | The turnover of the store in the first half of October is 960,000 yuan, and the turnover in the second half of October is 1.24 million yuan. If the business tax is 5% of the turnover, how much is the business tax payable in October? | <gadget id="calculator">96 + 124</gadget>
<output>220</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">220 * (1/20)</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
math_qa__HFsaGXxAVfpxl95r | At a certain organisation, the number of male members went up by 14% in the year 2001 from year 2000, and the number of females members went down by 6% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in... | <gadget id="calculator">1.2 / 100</gadget>
<output>0.012</output>
<gadget id="calculator">1 + 0.012</gadget>
<output>1.012</output>
<gadget id="calculator">1.012 * 1_000</gadget>
<output>1_012</output>
<gadget id="calculator">6 / 100</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">1 - (3/50)</g... | E | calc |
ape210k__01217155 | A triangular piece of land has a base of 350 meters and a height of 240 meters. Last year, a total of 18.9 tons of wheat was harvested. How many tons of wheat was harvested per hectare on average? | <gadget id="calculator">240 / 2 / 10_000</gadget>
<output>3/250 = around 0.012</output>
<gadget id="calculator">350 * (3/250)</gadget>
<output>21/5 = around 4.2</output>
<gadget id="calculator">18.9 / (21/5)</gadget>
<output>4.5</output>
<result>4.5</result> | 4.5 | calc |
ape210k__00035256 | A batch of trees was planted, 30 survived, 4 died, and all 6 replanted later survived. What is the survival rate of this batch of trees? | <gadget id="calculator">30 + 6</gadget>
<output>36</output>
<gadget id="calculator">30 + 4 + 6</gadget>
<output>40</output>
<gadget id="calculator">36 / 40</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(9/10) * 1</gadget>
<output>9/... | 9/10 | calc |
ape210k__00600999 | A cube glass container, measured from the inside, is 20cm long and 20cm wide. Pour 5L of water into the container, and then submerge the apple in the water. The measured water depth is 14cm. What is the volume of the apple? | <gadget id="calculator">2 * 2 * 1.4</gadget>
<output>5.6</output>
<gadget id="calculator">5.6 - 5</gadget>
<output>0.6</output>
<result>0.6</result> | 0.6 | calc |
ape210k__00121729 | A circular runway with a total length of 700 meters. A and B set off from the same place at the same time and walk opposite each other. A runs 7.5 meters per second, and B runs 6.5 meters per second. After a few seconds, the two meet? | <gadget id="calculator">7.5 + 6.5</gadget>
<output>14</output>
<gadget id="calculator">700 / 14</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00889489 | There are 62 students in the fifth grade of a certain school, which is twice the number of first grade students. How many students are there in first grade? (Solution of column equation) | <gadget id="calculator">62 / 2</gadget>
<output>31</output>
<result>31</result> | 31 | calc |
ape210k__00254535 | (1/43)+(303/8686)+(90909/434343). | <gadget id="calculator">1 / 43</gadget>
<output>1/43 = around 0.023256</output>
<gadget id="calculator">303 / 8_686</gadget>
<output>3/86 = around 0.034884</output>
<gadget id="calculator">90_909 / 434_343</gadget>
<output>9/43 = around 0.209302</output>
<gadget id="calculator">(1/43) + (3/86) + (9/43)</gadget>
<out... | 23/86 | calc |
ape210k__00580489 | How much is the smallest 4-digit number greater than the largest 3-digit number | <gadget id="calculator">1_000 - 999</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
aqua_rat__M3UEb7hQLn7BokmY | What is the sum of all remainders obtained when the first 110 natural numbers are divided by 9? Choices:
A) 397 B) 401 C) 403 D) 405 E) 399 | A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, 8, and 0. 1 divided by 9 gives the remainder of 1; 2 divided by 9 gives the remainder of 2; ... 8 divided by 9 gives the remainder of 8; 9 divided by 9 gives the remainder of 0. We'll have 11 such blocks, sin... | C | calc |
aqua_rat__H60a2YlmJDJULLJJ | A horse is tied to one corner of a square playground of side 20m by a rope 3.5m long. Find the area it can move in that playground? Choose one.
A) 9.625 B) 10.5 C) 11.125 D) 12.5 E) 14.45 | 9.625rea covered by horse = Pi*r^2/4 ( here we divide by 4 because rope is tied at the corner of the playground and only 1/4 part , the horse can move in that playground.) where r= 3.5 m = length of rope So area = (22/7)*3.5*3.5/4=
<gadget id="calculator">(22/7)*3.5*3.5/4</gadget>
<output>9.625</output>
9.625 sq m... | A | calc |
aqua_rat__FlNIvJ2ascZcNP09 | A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 4.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y? Select
A) (320 - y)/(5x) B)... | Ans (y +210)/(5x) Plug some numbers Let y = 40 houses and x = 20 then they painted 20 houses per week as painters were added to the group , the rate of the group increased to 4.25 x => 4.25 * 20=
<gadget id="calculator">4.25 * 20</gadget>
<output>85</output>
85 houses per week total time they took= (40/20... | B | calc |
aqua_rat__Je7hC47E5IqnAzvd | what is the value of (2)^-3? Pick one
A) 1/6 B) 1/5 C) 1/8 D) 1/9 E) 1/7 | 2^-3= 1/(2)^3= 1/8 ANSWER:1/8
<result>C</result> | C | calc |
aqua_rat__E0Wb8b0om3HgrE8o | What is value of x if 32-y=16x-y?
Choose the correct choice from the following options
A) 1 B) 3 C) 4 D) 2 E) 6 | 32-y=16x-y 32=16x-y+y 16x=32 x=2 Answer is option 2
<result>D</result> | D | calc |
ape210k__00874783 | Now there are three ships sailing from Shanghai to Japan. Ship A leaves at 6 am and travels 20 kilometers per hour; ship B departs at 8 am and travels 25 kilometers per hour; ship C leaves at 9 am and travels 5 hours later After catching up with ship B, how many hours can ship C catch up with ship A? | <gadget id="calculator">25 / 5</gadget>
<output>5</output>
<gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">30 - 20</gadget>
<output>10</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">20 * (3/10)</gadget>
<output>6</outpu... | 1 | calc |
ape210k__01211259 | A farm originally planned to afforest 12 hectares last year, but the actual afforestation was 16% more than planned. How many hectares were actually afforested last year? | <gadget id="calculator">16 / 100</gadget>
<output>4/25 = around 0.16</output>
<gadget id="calculator">1 + (4/25)</gadget>
<output>29/25 = around 1.16</output>
<gadget id="calculator">12 * (29/25)</gadget>
<output>348/25 = around 13.92</output>
<result>348/25 = around 13.92</result> | 348/25 | calc |
ape210k__00207119 | What is the ratio of (3/5) ton: 400 kg. | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) / 400</gadget>
<output>3/2_000 = around 0.0015</output>
<gadget id="calculator">(3/2_000) * 1_000</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | calc |
ape210k__01114287 | The bus terminal sends out two buses at the same time. The two buses leave one every 9 minutes and 12 minutes respectively. How many minutes have passed since the first departure at the same time before the two buses leave at the same time? | <gadget id="calculator">2 * 2 * 3 * 3</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__01103399 | If a 4-meter-long cylinder of steel is cut transversely into 2 sections, the surface area is 20 square decimeters larger than the original, what is the volume of the original cylinder of steel in cubic decimeters? | <gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 * 4 * 10</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__01186303 | If (1/5) of a bottle of oil is used, and (1/5) kg is poured in, it will be exactly the same weight as the original one. How many kilograms does this bottle of oil have? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) / (1/5)</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
aqua_rat__rLU1hKKeo3I1OWgO | How many of the factors of 120 are divisible by 2? Choose the correct choice from the following answers:
A) 4
B) 8
C) 10
D) 12
E) 16 | 120 = 2^3*3*5 The total number of factors is (1+3)(1+1)(1+1) = 16 The odd factors are 1, 3, 5, and 15. The number of even factors is 16-4=
<gadget id="calculator">16-4</gadget>
<output>12</output>
12 The answer is 12.
<result>D</result> | D | calc |
math_qa__Fancd8nfWJBMSDUN | man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water? Choose the correct choice from the following answers: A) 12 B) 22 C) 30 D) 88 E) 13 | <gadget id="calculator">25 + 35</gadget>
<output>60</output>
<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<result>C</result> | C | calc |
ape210k__00214168 | Choose two numbers a and b from 1 to 100. If a>b, find the minimum value of ((a+b)/(ab)). | <gadget id="calculator">100 + 1</gadget>
<output>101</output>
<gadget id="calculator">100 - 1</gadget>
<output>99</output>
<gadget id="calculator">101 / 99</gadget>
<output>101/99 = around 1.020202</output>
<result>101/99 = around 1.020202</result> | 101/99 | calc |
aqua_rat__hpkizIwh4KePt598 | The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Select the correct option
A) 15 B) 25 C) 18 D) 22 E) 30 | Total members in the group = 7 Average amount = Rs. 20 Total amount with them = 7 * 20 = Rs. 140 One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90 The average amount with them = 90/6 = Rs. 15. 15NSWER 15
<result>A</result> | A | calc |
ape210k__00051415 | The speed of a car traveling on a highway is 90 kilometers per hour, which is twice the speed of driving on an ordinary road. What is the speed of this car in kilometers per hour on an ordinary road? | <gadget id="calculator">90 / 2</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
aqua_rat__O1cM9F0Vf46imkAx | An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?
Choose the most appropriate option
A) 2788 B) 3000 C) 7282 D) 2782 E) 2729 | 4 --- 2000 5 --- ? => 3000 Answer:3000
<result>B</result> | B | calc |
ape210k__00261203 | On the up and down tracks, two trains are facing each other. One train is 182 meters long and travels 18 meters per second, and the other train travels 17 meters per second. It takes 10 seconds for the two trains to pass by the wrong train. Find the other train. How long is the train in meters? | <gadget id="calculator">17 + 18</gadget>
<output>35</output>
<gadget id="calculator">35 * 10</gadget>
<output>350</output>
<gadget id="calculator">350 - 182</gadget>
<output>168</output>
<result>168</result> | 168 | calc |
aqua_rat__IjkRjglcuMl331zm | A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent? Choose one.
A) 228 B) 279 C) 280 D) 500 E) 288 | P - 340 = (P*4*8)/100 P = 500 Answer: 500
<result>D</result> | D | calc |
ape210k__00224306 | How many seconds have elapsed since the second hand went from 2 to 10 on the clock face? | <gadget id="calculator">5 * 8</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00165158 | The average age of me, my father, and my mother is 30 years old this year. It is known that the average age of my father and mother is 39 years old. How old do you think I am this year? | <gadget id="calculator">30 * 3</gadget>
<output>90</output>
<gadget id="calculator">39 * 2</gadget>
<output>78</output>
<gadget id="calculator">90 - 78</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__OrJ8zbqUSCLWVfym | A city council will select 2 of 6 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel? Choose the most appropriate option
A) 36 B) 90 C) 144 D) 216 E) 432 | OA D 6C2 * 6C1 using the combination formula to choose 2 from 9 and 1 from 6 90
<result>B</result> | B | calc |
ape210k__00881835 | A road is 300 meters long. The students planted trees on both sides of the tree. The starting point and the ending point were planted. A total of 62 trees were planted. How many meters are there between each two trees? | <gadget id="calculator">62 / 2</gadget>
<output>31</output>
<gadget id="calculator">31 - 1</gadget>
<output>30</output>
<gadget id="calculator">300 / 30</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
aqua_rat__ChnqZJoZ3qO3zo1e | If the sum of the interior angles of a regular polygon measures up to 1260 degrees, then how many sides does the polygon have? Select the correct option:
A) 10
B) 9
C) 12
D) 11
E) 14 | one of the interior angle = 180 - 360/n sum of the interior angles is = n (180 - 360/n) given n(180 - 360/n)=1260 180n - 360 = 1260 180n = 1620 n = 1620/180=
<gadget id="calculator">1620/180</gadget>
<output>9</output>
9 ANSWER:9
<result>B</result> | B | calc |
ape210k__00099839 | 48 people in a workshop go to work today, 1 person is on sick leave, and 1 person is on personal leave. What is the attendance rate of the workshop that day? | <gadget id="calculator">48 + 1 + 1</gadget>
<output>50</output>
<gadget id="calculator">48 / 50</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(24/25) * 1</gadget>
<output>24/25 = around 0.96</output>
<result>24/25 = around 0.96</r... | 24/25 | calc |
ape210k__00842357 | The three members of Fangfang’s family travel by train. The one-way train fare for children is 26.7 yuan, and the one-way adult fare is twice the price for children. How much is the round-trip transportation fee for Fangfang’s family? | <gadget id="calculator">26.7 * 2 * 2</gadget>
<output>106.8</output>
<gadget id="calculator">106.8 + 26.7</gadget>
<output>133.5</output>
<gadget id="calculator">133.5 * 2</gadget>
<output>267</output>
<result>267</result> | 267 | calc |
math_qa__XDRrZsKPf4AREZIF | In a throw of dice what is the probability of geƫng number greater than 3 Answers.
A) 1 / 2 B) 1 / 3 C) 1 / 5 D) 1 / 6 E) none of these | <gadget id="calculator">6 - 3</gadget>
<output>3</output>
<gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<result>A</result> | A | calc |
ape210k__00180562 | The kindergarten teacher taught the children to make red flowers, Xiao Wang made 9 flowers, Xiao Fang made 10 flowers, and Xiao Lin and Xiao Ning jointly made 13 flowers. How many flowers per person on average | <gadget id="calculator">9 + 10 + 13</gadget>
<output>32</output>
<gadget id="calculator">32 / 4</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00587292 | The ratio of A and B is 6:5, A's number is 24, what is B's number? | <gadget id="calculator">24 * 5</gadget>
<output>120</output>
<gadget id="calculator">120 / 6</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__RHsoL2IntbI1unBL | The length of a bridge in meters, which a train 110-meters long and traveling at 45 km/hr can cross in 30 seconds is? Choose the correct choice from the following answers
A) 245 B) 265 C) 295 D) 325 E) 375 | 45 km/h = 45000 m/3600 s = 12.5 m/s In 30 seconds, the train can go 30(12.5) 45000 /3600=
<gadget id="calculator">45000 /3600</gadget>
<output>25/2 = around 12.5</output>
12.5 m/s In 30 seconds, the train can go 30(12.5)= 375 meters Let x be the length of the bridge. x+110 = 375 meters x = 265 meters The... | B | calc |
ape210k__01126145 | Xiao Ming reads a book, he reads the whole book (3/10) on the first day, reads 24 pages on the second day, and leaves the whole book (3/5) unread. How many pages does this book have? | <gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/10) - (3/5)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">24 / (1/10)</gadget>
<output>240</output>
<result>240</re... | 240 | calc |
ape210k__00432134 | Xiao Ming plans to finish reading a 350-page book in June. If he reads 9 pages a day in the first two weeks, how many pages should Xiao Ming read at least every day in the remaining days to finish reading the book in this month? | <gadget id="calculator">9 * 7 * 2</gadget>
<output>126</output>
<gadget id="calculator">350 - 126</gadget>
<output>224</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">30 - 14</gadget>
<output>16</output>
<gadget id="calculator">224 / 16</gadget>
<output>14</output>
<resu... | 14 | calc |
ape210k__01173431 | The original price of a shampoo in the shopping mall is 50 yuan, and now it is sold at a 20% discount. If you use a membership card, you can get another 10% discount. How much does it cost for Aunt Li to buy a bottle of this shampoo with her membership card? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">50 * (4/5) * (9/10)</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__XdMXFidq6nrAVuzv | A fish tank contains orange fish and silver fish. After k more orange fish and 2k more silver fish are added, the probability of choosing an orange fish at random is 1313 . What was the probability of choosing a silver fish before any more fish were added? Choose the correct choice from the following answers
A) 1/4 B) ... | Equation (1): o+k=1xo+k=1x Equation (2): s+2=
<gadget id="calculator">+2</gadget>
<output>2</output>
2xs+2k=2x Multiplying the first Equation by 2: 2o+2k=2x2o+2k=2x. Let´s call this last equation, Equation (3): 2o+2k=2x2o+2k=2x We can subtract Eq (3) −− Eq (2): 2o−s=02o−s=0, and then s=2os=2o. Then, s/s+o=2o/3... | D | calc |
ape210k__00552464 | There are 40 basketballs in the sports room, which is 25% more than volleyballs. How many volleyballs are there? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">40 / (5/4)</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
aqua_rat__7L8OlhtIaLctikCR | It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number X?
Select: A) a. 2^96 + 1 B) b. 2^16 - 1 C) c. 2^16 + 1 D) d. 7 * 2^33 E) e. 2^64 + 1 | a³ + b³ =(a+b)(a² -ab +b²) Now, let (2^32 + 1) be (a+b) a³ + b³ = (2^96 + 1) Now, as mentioned in formula above, a³ + b³ is always divisible by (a+b) So any factor of X=(a+b) is a factor of (a³ + b³) Henca a. 2^96 + 1
<result>A</result> | A | calc |
aqua_rat__mTrb4aibEosdt4YN | 7 noun, 5 verbs and 2 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this?? Pick one: A) 420 B) 450 C) 500 D) 520 E) 540 | we have to choose one from each set. 1 from 7 nouns and 1 from 5 verbs and 1 from 2 adjectives. then we have 2 arrange 3 different set in 3! ways. so, 7c1*5c1*2c1*3!=420 420NSWER:420
<result>A</result> | A | calc |
aqua_rat__u65hlTYASt4g7x0h | A train speeds past a pole in 15 sec and a platform 130 m long in 25 sec, its length is? Choose the correct choice from the following
A) 238 B) 150 C) 195 D) 177 E) 171 | Let the length of the train be x m and its speed be y m/sec. Then, x/y = 15 => y = x/15 (x + 130)/25 = x/15 => x = 195 m. Answer: 195
<result>C</result> | C | calc |
ape210k__00190503 | It is known that the unit digit of the sum of 1+2+3+...+n (n>2) is 3 and the tens digit is 0, so what is the minimum value of n? | <result>37</result> | 37 | calc |
aqua_rat__RtY4f0UxWr3k9m1i | The population of a bacteria culture doubles every 1 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria Choices: A) 9 B) 12 C) 14 D) 16 E) 18 | This one's easy. 1000 * 2^t = 500,000 2^t = 500 Now gauging, since 2^8 = 256, then 2^9 = 512 So t = 9 But be careful, 't' is in time intervals of 1 minutes So answer is 9*1=
<gadget id="calculator">9*1</gadget>
<output>9</output>
9 minutes 9nswer (9)
<result>A</result> | A | calc |
ape210k__00522032 | In the process of calculating 542*3, how many tens are represented by 12 obtained by multiplying 4 by 3 | <result>12</result> | 12 | calc |
ape210k__00329731 | The canteen shipped 420 kg of flour, and the rice shipped was 120 kg more than the flour. If you eat 12 kilograms of rice every day, how many days will this batch of rice be enough to last? | <gadget id="calculator">420 + 120</gadget>
<output>540</output>
<gadget id="calculator">540 / 12</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__01168717 | Students from Class 4 and 1 of Nanyi Central Primary School participated in the activity of "Caring for the environment starts with me". The first team of 7 people collected a total of 64 kg of waste, and the second team of 6 people collected an average of 11 kg of waste per person. How many kilograms of waste is colle... | <gadget id="calculator">6 * 11</gadget>
<output>66</output>
<gadget id="calculator">64 + 66</gadget>
<output>130</output>
<gadget id="calculator">7 + 6</gadget>
<output>13</output>
<gadget id="calculator">130 / 13</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00052618 | Tree planting and birth control Hong primary school students planted trees in the suburbs. The third grade planted 46 trees, twice that of the second grade, and the fourth grade planted three times the number of second grade. How many trees are planted in fourth grade? | <gadget id="calculator">46 / 2</gadget>
<output>23</output>
<gadget id="calculator">23 * 3</gadget>
<output>69</output>
<result>69</result> | 69 | calc |
ape210k__00247398 | (1+(19/92))+(1+(19/92)*2)+(1+(19/92)*3)+…(1+(19/92)*10)+(1+ The result of (19/92)*11) is x, so what is the nearest integer to x. | <result>25</result> | 25 | calc |
ape210k__00019700 | Two teams jointly build a road. The first team built 50% of the total length, and the second team built 420 kilometers. At this time, the two teams repaired 380 kilometers less than the total length (2/3). The total length of the road is How many kilometers? | <gadget id="calculator">420 + 380</gadget>
<output>800</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(2/3) - (1/2)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="... | 4_800 | calc |
ape210k__00579309 | Auspicious Hotel has an average monthly turnover of 200,000 yuan. According to regulations, in addition to paying business tax of 5% of turnover, city maintenance and construction tax is also paid at 7% of business tax. How much should the Lucky Hotel pay these two kinds of taxes a year? | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">20 * (1/20)</gadget>
<output>1</output>
<gadget id="calculator">7 / 100</gadget>
<output>7/100 = around 0.07</output>
<gadget id="calculator">20 * (1/20) * (7/100)</gadget>
<output>7/100 = around 0.07</output>
<gadg... | 321/25 | calc |
ape210k__00687645 | A canal is 5 kilometers long and 2 meters wide. What is the area of the canal in hectares? | <gadget id="calculator">2 / 10_000</gadget>
<output>1/5_000 = around 0.0002</output>
<gadget id="calculator">5 * 1_000 * (1/5_000)</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00875911 | For a rope, 25% of its total length is cut off for the first time, and 35% of its total length is cut off for the second time. The total length of the two cuts is 6 meters. How many meters is the total length of this rope? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">(1/4) + (7/20)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">6 / (3/5)</gadget>
<output>10</output>
<result>10</resu... | 10 | calc |
ape210k__00356796 | The ratio of the three interior angles of a triangle is 3:4:5, what is the largest interior angle of this triangle? | <gadget id="calculator">3 + 4 + 5</gadget>
<output>12</output>
<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">180 * (5/12)</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__00582834 | The school bought 12 footballs and 12 basketballs, and paid a total of 1140 yuan. Each football is 40 yuan. How much is each basketball? | <gadget id="calculator">40 * 12</gadget>
<output>480</output>
<gadget id="calculator">1_140 - 480</gadget>
<output>660</output>
<gadget id="calculator">660 / 12</gadget>
<output>55</output>
<result>55</result> | 55 | calc |
ape210k__00246027 | Xiao Ming miscalculated 36-12+8 as 36-(12+8), so how much is the difference between the calculated result and the correct result. | <gadget id="calculator">36 - 12</gadget>
<output>24</output>
<gadget id="calculator">12 + 8</gadget>
<output>20</output>
<gadget id="calculator">36 - 20</gadget>
<output>16</output>
<gadget id="calculator">8 - 16</gadget>
<output>-8</output>
<gadget id="calculator">24 + (-8)</gadget>
<output>16</output>
<result>16... | 16 | calc |
ape210k__00968441 | The area of a triangle is 32dm**2 less than that of a parallelogram with the same base and height. It is known that the base of the triangle is 8dm and the height is dm. | <gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">32 * (1/4)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00982387 | The formula 1*2*3*4*5*6*7...*23*24*25 is equal to a large product, how many consecutive zeros are there at the end of the product? | <gadget id="calculator">25 / 5</gadget>
<output>5</output>
<gadget id="calculator">25 / 25</gadget>
<output>1</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__01201375 | Xiaoyun goes from home to the store to buy things at a speed of 40 meters per minute. After 5 minutes, Xiaoying chases Xiaoyun, and finally catches up with Xiaoyun 600 meters away from home. What is Xiaoying's speed? | <gadget id="calculator">40 * 5</gadget>
<output>200</output>
<gadget id="calculator">600 - 200</gadget>
<output>400</output>
<gadget id="calculator">400 / 40</gadget>
<output>10</output>
<gadget id="calculator">600 / 10</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
math_qa__dRISq3TGoTGw4Hdv | What is the smallest number which when increased by 3 is divisible by 18, 70, 100 and 21?
Choices:
A) 5037
B) 5447
C) 5867
D) 6297
E) 6617 | <gadget id="calculator">lcm(18, 70)</gadget>
<output>630</output>
<gadget id="calculator">lcm(100, 21)</gadget>
<output>2_100</output>
<gadget id="calculator">lcm(630, 2_100)</gadget>
<output>6_300</output>
<gadget id="calculator">6_300 + 3</gadget>
<output>6_303</output>
<result>D</result> | D | calc |
aqua_rat__I55qHyTvO9hoFaop | When 40 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number? Choose the correct choice from the following answers.
A) 3 : 4 B) 4 : 3 C) 1 : 1 D) Data inadequate E) None of these | Let the first and the second numbers be x and y respect then y + 40% of x = 140% of y or, y + 0.4x = 1.4y or, 0.4x = 0.4y ∴ x : y = 0.4 : 0.4 = 4 : 4 Answer 1 : 1
<result>C</result> | C | calc |
ape210k__00983881 | A project alone takes 14 hours, and B alone takes 20 hours. If A works for 1 hour, B takes over from A for 1 hour, and then A takes over from B for 1 hour...the two work alternately in this way, ask: complete the task How many hours will it take? | <gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">1 / 14</gadget>
<output>1/14 = around 0.071429</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/14) + (1/20)</gadget>
<output>17/140 = around 0.121429</output>
<gadget id... | 82/5 | calc |
mawps__84YlRtz9DJRJyciM | Paul had 151 Mango. Ronald clasped some Mango. Now Paul has 85 Mango. How many did Ronald claspeds? | <gadget id="calculator">151 - 85</gadget>
<output>66</output>
<result>66</result> | 66 | calc |
math_qa__s0zmgSql8Jh2Pn2N | A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air? Choose the correct option
A) 253 mph .
B) 275 mph .
C) 296 mph .
D) 278 mph .
E) 235 mph . | <gadget id="calculator">350 * 23</gadget>
<output>8_050</output>
<gadget id="calculator">420 * 23</gadget>
<output>9_660</output>
<gadget id="calculator">8_050 + 9_660</gadget>
<output>17_710</output>
<gadget id="calculator">420 - 350</gadget>
<output>70</output>
<gadget id="calculator">17_710 / 70</gadget>
<output... | A | calc |
ape210k__00208771 | When a number is divided by 6, the remainder is 3, and when divided by 8, the remainder is 5. What is the smallest number among such numbers? | <gadget id="calculator">24 - 3</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
aqua_rat__vronWoCSqKWuW9Dx | Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin Choose the correct choice from the following answers.
A) 23.5 B) 24.5 C) 12.5 D) 14.5 E) 16.5 | Explanation: If Rahul age is x, then Sachin age is x-7, so (x-7)/x = 7/9 => 9x-63 = 7x => 2x = 63 => x = 31.5 So Sachin age is 31.5 - 7=
<gadget id="calculator"> 31.5 - 7</gadget>
<output>24.5</output>
24.5 Answer: Option 24.5
<result>B</result> | B | calc |
ape210k__00526459 | Cars A and B drive opposite each other from places A and B at the same time. They meet each other in 4 hours. When they meet, car A travels 50 kilometers less than car B. The speed ratio of cars A and B is 5:7. Find places A and B distance. | <gadget id="calculator">7 - 5</gadget>
<output>2</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">5 + 7</gadget>
<output>12</output>
<gadget id="calculator">25 * 12</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
math_qa__xbLHpIbuQKC4ukDh | In a Shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choose the correct choice from the following: A) 70 % B) 50 % C) 100 % D) 60 % E) 55 % | <gadget id="calculator">320 + 100</gadget>
<output>420</output>
<gadget id="calculator">25 + 100</gadget>
<output>125</output>
<gadget id="calculator">420 - 125</gadget>
<output>295</output>
<gadget id="calculator">295 / 420</gadget>
<output>59/84 = around 0.702381</output>
<gadget id="calculator">(59/84) * 100</ga... | A | calc |
ape210k__00038353 | Xiaopang’s family paid a total of 672 yuan for water last year, and this year they saved 5 yuan per month compared with last year. Based on this calculation, how much is the total water fee expected to be paid this year? | <gadget id="calculator">12 * 5</gadget>
<output>60</output>
<gadget id="calculator">672 - 60</gadget>
<output>612</output>
<result>612</result> | 612 | calc |
math_qa__5v4FbSx1pLtvROcy | 3034−(1002÷20.04)=? Choose the correct choice from the following choices
A) 1964 B) 1984 C) 2964 D) 2984 E) none of these | <gadget id="calculator">1_002 / 20.04</gadget>
<output>50</output>
<gadget id="calculator">3_034 - 50</gadget>
<output>2_984</output>
<result>D</result> | D | calc |
ape210k__00534281 | Uncle Wang has to walk 6 kilometers to work every day. Because he got up late one day, he traveled four times as fast as usual for the first half of the journey, and three times as fast for the second half. Use less than 50 minutes, how many meters does Uncle Qiugong usually travel per minute? | <gadget id="calculator">6 * 1_000</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 - 750 - 1_000</gadget>
<output>4_250</output>
<gadget id="calculator">4_250 / 50</gadget>
<output>85</output>
<result>85</result> | 85 | calc |
ape210k__00124490 | A person finds a thief walking in the opposite direction on the bus. After 10 seconds, he gets off the bus and chases the thief. If his speed is twice as fast as the thief and slower than the car (4/5), how many seconds will it take to catch up with the thief? | <result>110</result> | 110 | calc |
aqua_rat__y0WkbQU82XbZ12wC | A student completes a 3 part exam as follows. The student completes sections A in 18 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour? Choose the correct answer.
A) 4:3
B) 5:4
C) 6:5
D) 7:6
E) 8:7 | The time spent on section B and section C is 21 minutes each. The ratio of C to A is 21:18 = 7:6 The answer is 7:6.
<result>D</result> | D | calc |
aqua_rat__oA2j32WmxxO1BfGh | A certain galaxy is known to comprise approximately 4 x 10^12 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
Choose the correct choice from the following answers
A) 800 B) 1,250 C) 80,000 D) 12,000 E) 80,000 | Total no. of stars on galaxy = 4 * 10^12 Of every 50 million stars, 1 is larger than sun. 1 million = 10^6 therofore, 50 million = 50 * 10^6 total no. of stars larger than sun = 4 * 10^12 / 50 * 10^6 =40 * 10^4 /5 = 80000 therefore answer is 80,000
<result>C</result> | C | calc |
ape210k__00220375 | In the practical activity class, Xiaogang erected a 2-meter-long wooden stick beside the school flagpole, and measured the shadow length of the wooden stick to be 1.2 meters; at the same time, the shadow length of the flagpole was measured to be 3 meters. What is the height of the school flagpole? (Solution by proporti... | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">6 / 1.2</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__01044187 | How many different four-digit numbers can be formed with two 1s, one 2, and one 3? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">3 * 2 * 2 * 1</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00001209 | (1/(4-(1/(3-(1/(2-(1/3))))))). | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2 - (1/3)</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">1 / (5/3)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">3 - (3/5)</gadget>
<output>12/5 = around 2.4</output>
<... | 12/43 | calc |
ape210k__00071875 | Put together two small cubes with side lengths of 2 cm to form a cuboid. What is the surface area of this cuboid in cm**2. | <gadget id="calculator">2 * 2 * 10</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__Nf4NZ11LPBign1t5 | If 12 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
Choose the correct choice from the following choices
A) 20 hours
B) 30 hours
C) 40 hours
D) 50 hours
E) 60 hours | Let the required number of hours be x. Then, Less men, More hours (Indirect Proportion) 15 : 12 : : 25 : x<=>(15 x x) =(12 x 25)<=>(12 x 25)/15 = 20 Hence, 15 men can do it in 60 hours 20 hoursnswer is 20 hours.
<result>A</result> | A | calc |
aqua_rat__DJZctkeERLZrzDKP | What is the square root of 625, divided by 5? Choose one: A) 9 B) 36 C) 5 D) 6 E) 1 | Square root is a number times itself Square root of 625=25, 25/5=5 (5)5
<result>C</result> | C | calc |
ape210k__00220805 | Li Ming plays ball with an air gun. If he hits a shot, he will get 5 points, and if he misses a shot, 2 points will be deducted. He hit 20 shots and scored a total of 51 points. How many shots did he hit? | <gadget id="calculator">5 * 20</gadget>
<output>100</output>
<gadget id="calculator">100 - 51</gadget>
<output>49</output>
<gadget id="calculator">5 + 2</gadget>
<output>7</output>
<gadget id="calculator">49 / 7</gadget>
<output>7</output>
<gadget id="calculator">20 - 7</gadget>
<output>13</output>
<result>13</res... | 13 | calc |
ape210k__00002118 | There is a circular flower bed with a circumference of 28.26 meters. Now it is necessary to install a railing 1 meter outside the flower bed. How long is the railing? | <gadget id="calculator">28.26 / 3.14 / 2</gadget>
<output>4.5</output>
<gadget id="calculator">4.5 + 1</gadget>
<output>5.5</output>
<gadget id="calculator">3.14 * 5.5 * 2</gadget>
<output>34.54</output>
<result>34.54</result> | 34.54 | calc |
gsm8k__fwpiGV94i7qTGPfx | Leah earned $28 working odd jobs around the neighborhood. She spent a seventh of it on a milkshake and put half of the rest in her savings account. She left the remaining money in her wallet. Her dog got ahold of her wallet and shredded all the money inside but $1. How many dollars did Leah lose? | Leah spent 28 / 7 = $
<gadget id="calculator">28/7</gadget>
<output>4</output>
4 on a milkshake.
She had 28 - 4 = $
<gadget id="calculator">28-4</gadget>
<output>24</output>
24 left.
She put half in her savings account and half in her wallet, so she had 24 / 2 = $
<gadget id="calculator">24/2</gadget>
<output>12</outpu... | 11 | calc |
ape210k__00361144 | What is the area of a rectangle formed by combining 4 squares with a side length of 3 cm? | <gadget id="calculator">3 * 3 * 4</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__grlTMFqkM821XDUH | An escalator moves towards the top level at the rate of 7 ft.sec and its length is 180 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length. Choose the most appropriate option: A) 5sec B) 25sec C) 20sec D) 15sec E) ... | Explanation : Time taken to cover the entire length = tot.dist/resultant speed = 180/ (7+2)=
<gadget id="calculator">180/ (7+2)</gadget>
<output>20</output>
20sec Answer : 20sec
<result>C</result> | C | calc |
aqua_rat__zMSJZHDyGMj8U2l6 | It takes Jim N minutes to prepare one omelet. It takes Cole N/2 minutes to prepare one omelet. It takes Mitch N/2 minutes to prepare 2 omelets. If Jim, Cole and Mitch together prepare a total of 30 omelets in 40 minutes, then how many minutes would it take Mitch alone to prepare 30 omelets?
Select:
A) 70
B) 120
C) 140
... | Cole is twice as fast as Jim and Mitch is 4 times as fast as Jim (it takes Mitch N/2 minutes to prepare 2 omelets, thus N/4 minutes to prepare one omelet). Say the rate of Jim is x omelet/minute, the rate of Cole 2x omelet/minute, and the rate of Mitch 4x omelet/minute. Then, from (time)(rate) = (job done): (40 m... | A | calc |
ape210k__00643067 | How much is 15 centimeters in 2 decimeters (fill in the simplest fraction) | <gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">15 / 20</gadget>
<output>3/4 = around 0.75</output>
<result>3/4 = around 0.75</result> | 3/4 | calc |
ape210k__00520859 | There are a pile of black and white pieces, the number of black pieces is twice the number of white pieces, if 4 black pieces and 3 white pieces are taken out from this pile of pieces at the same time, after how many times of taking out, there will be 1 white piece and 1 black piece There are 18 remaining. | <gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">3 - 2</gadget>
<output>1</output>
<gadget id="calculator">8 / 1</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00205538 | Xiao Ming bought a copy of "Story 365" and used half of the money he brought, and bought a pen for 12 yuan. At this time, there was 25 yuan left. How much money did Xiao Ming bring? | <gadget id="calculator">25 + 12</gadget>
<output>37</output>
<gadget id="calculator">37 * 2</gadget>
<output>74</output>
<result>74</result> | 74 | calc |
aqua_rat__x1P5FM1dXSzMy47v | Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 8 years more than the present age of Anand. Find the present age of Anand? Choose the correct option:
A) 12 B) 13 C) 14 D) 15 E) 16 | Let the present ages of Anand and Bala be 'a' and 'b' respectively. a - 10 = 1/3 (b - 10) --- (1) b = a + 8 Substituting b = a + 12 in first equation, a - 10 = 1/3 (a - 2) => 3a - 30 = a - 2 => 2a = 28 => a = 14. ANSWER:14
<result>C</result> | C | calc |
ape210k__00687499 | The construction site needs to transport 476 tons of cement, 200 tons have already been transported, and the rest is transported by a truck with a load of 12 tons. How many times will this truck be transported? | <gadget id="calculator">476 - 200</gadget>
<output>276</output>
<gadget id="calculator">276 / 12</gadget>
<output>23</output>
<result>23</result> | 23 | calc |
aqua_rat__ggzFUKfggRRQytCX | A worker is paid x rupees for painting every 6 metres of a wall and y rupees for painting every extra metre. During one week, he painted 6 metres on Monday, 7 metres on Tuesday, 8 metres on Wednesday, 9 metres on Thursday and 10 metres on Friday. What is his average daily earning rupees for the five day week? Pick one
... | Explanation : On Monday, the payment = Rs x On Tuesday, the payment = Rs (x + y) On Wednesday, the payment = Rs (x + 2y) On Thursday, the payment = Rs (x + 3y) On Friday, the payment = Rs (x + 4y) Average daily earning during the five-day week = (5x + 10y)/5 = x +2y Answer :x+2y
<result>B</result> | B | calc |
ape210k__00465750 | A's number is 307, which is 93 less than B's number. What is B's number? | <gadget id="calculator">307 + 93</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00618065 | In a batch of parts produced by a certain factory, the number of second-class products is 16% of the number of first-class products. How many percent are second-class products less than first-class products? | <gadget id="calculator">16 / 100</gadget>
<output>4/25 = around 0.16</output>
<gadget id="calculator">1 - (4/25)</gadget>
<output>21/25 = around 0.84</output>
<result>21/25 = around 0.84</result> | 21/25 | calc |
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