id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__01189007 | Use the numbers on the three cards 2, 4, and 5 to form several different three-digit numbers. What is the average of all these three-digit numbers? | <gadget id="calculator">245 + 254 + 425 + 452 + 542 + 524</gadget>
<output>2_442</output>
<gadget id="calculator">2_442 / 6</gadget>
<output>407</output>
<result>407</result> | 407 | calc |
ape210k__00048622 | 10.1/11 What is the 100th digit in the decimal part of the quotient. | <result>1</result> | 1 | calc |
math_qa__xHwmDektTgZcPDfJ | A statue is being carved by a sculptor. The original piece of marble weighed 250 kg. In the first week 30 per cent is cut away. In the second week 20 per cent of the remainder is cut away. In the third week the statue is completed when 25 percent of the remainder is cut away. What is the weight of the final statue? Pi... | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<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 ... | A | calc |
ape210k__00301223 | The protein content in soybeans accounts for about (9/25). If there are (5/6) tons of soybeans, how many kilograms of protein can be extracted from them? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">9 / 25</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">(5/6) * (9/25) * 1_000</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
aqua_rat__ywVVFqrlNJh72ivZ | A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.400 when the rate to profit rises from 5 to 7 percent. Find the Capital of C?
Pick: A) 3377 B) 2899 C) 5000 D) 2778 E) 1991 | A:B:5000 = 2/3:1/6:1/6 = 4:1:1 x * 2/100 * 2/3 = 400 5000's capital = 30000*1/6=
<gadget id="calculator">30000*1/6</gadget>
<output>5_000</output>
5000 Answer: 5000
<result>C</result> | C | calc |
aqua_rat__UiubN6E19PAQKeZB | In how many different number of ways a Committee of 3 person of can be selected from 3boys and 3girls such that at least 1 girl is included in the committe
Choose the correct choice from the following options:
A) 15 B) 17 C) 16 D) 20 E) 19 | 1G 2B 2G 1B 3G = (3C1*3C2)+(3C2*3C1)+3C3 = (3*3)+(3*3)+1 = 9+9+1=
<gadget id="calculator">9+9+1</gadget>
<output>19</output>
19 Total 3M 3W 6C3=20 3C3=1 At least one girl = total - with out girl At least one girl = 20-1=
<gadget id="calculator">20-1</gadget>
<output>19</output>
19 19)
<result>E</res... | E | calc |
ape210k__00555689 | A kind of pesticide is prepared by mixing liquid medicine and water at a ratio of 1:750. If there are 4 kilograms of liquid medicine, how many kilograms of this pesticide can be prepared? | <gadget id="calculator">1 / 750</gadget>
<output>1/750 = around 0.001333</output>
<gadget id="calculator">4 / (1/750)</gadget>
<output>3_000</output>
<gadget id="calculator">3_000 + 4</gadget>
<output>3_004</output>
<result>3_004</result> | 3_004 | calc |
ape210k__00707415 | There are 150 students in the sixth grade of Guangming Primary School. Today, there are 76 boys and 71 girls. What is the attendance rate today? | <gadget id="calculator">76 + 71</gadget>
<output>147</output>
<gadget id="calculator">147 / 150</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</r... | 49/50 | calc |
ape210k__00035549 | "Mount Tai, Mount Hua, Mount Heng, Mount Heng, and Mount Song" are the five famous mountains in my country. They are called "Five Sacred Mountains". ? | <gadget id="calculator">2_017 + 863</gadget>
<output>2_880</output>
<gadget id="calculator">2_880 / 2</gadget>
<output>1_440</output>
<result>1_440</result> | 1_440 | calc |
ape210k__01205459 | 12+15+18+...+96． | <gadget id="calculator">12 + 96</gadget>
<output>108</output>
<gadget id="calculator">96 - 12</gadget>
<output>84</output>
<gadget id="calculator">84 / 3</gadget>
<output>28</output>
<gadget id="calculator">28 + 1</gadget>
<output>29</output>
<gadget id="calculator">29 / 2</gadget>
<output>29/2 = around 14.5</outpu... | 1_566 | calc |
ape210k__00351938 | Divide (4/5) kilograms of salt into 4 sachets equally. What is the weight of each sachet of salt? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) / 4 / 1</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
aqua_rat__oTo7aRKfgI4IUcuu | The function f is defined by subtracting 25 from the square of a number and the function a is defined as the square root of one-half of a number. If a(f(x))=10, then which of the following is a possible value of x?
Choose the correct choice.
A) -15 B) -5 C) 0 D) 5 E) 25 | f(x) = x^2-25 a(x) = sqrt(x/2) not sqrt(x)/2, because the question clearly says its square root of (half of the number). a(f(x)) = 10 a(x^2-25) =10 sqrt((x^2-25)/2) = 10 => (x^2-25)/2 = 100 =>x^2 = 225 => x = 15 or -15 -15nswer is -15.
<result>A</result> | A | calc |
aqua_rat__pRspob36ztxAkr7x | If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in an ideal case scenario? Choose one:
A) 2663 B) 1653 C) 3693 D) 4253 E) 2653 | B 1653 For an ideal case, the batsman will hit a six on each ball. But if he hits six on the last ball of the over, the strike will change in the next over. Thus, the best he can do in the last ball is run 3 runs so that he retains the strike even in the next over. Thus the total runs that he can score in each over... | B | calc |
ape210k__00416399 | There are 400 literature and art books in the library, which is 1/3 more than science and technology books. How many science and technology books are there? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + (1/3)</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">400 / (4/3)</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
ape210k__00400637 | There is a cake, father and mother each ate (1/5) of this cake, and Dongdong ate the rest. How much of this cake did Dongdong eat? | <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 id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
ape210k__00153648 | large mathematics dictionary is priced at 80 yuan, and the profit is 25% of the cost. If the profit is increased to 35%, how much should the price be increased. | <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">80 / (5/4)</gadget>
<output>64</output>
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calcula... | 32/5 | calc |
aqua_rat__6dVLxvH3l5jA6Vnn | Let x be a positive integer, what is the remainder when 4^(2x+5)+3 is divided by 5? Choose the most appropriate option
A) 2 B) 3 C) 4 D) 1 E) 5 | For: (4^(2x+5)+3)/5 Let n = 2x + 5 4^n 4^1 = 4 4^2 = 16 4^3 = 64 4^4 = 256, last digit pattern repeats 4, 6, 4, 6, .... Rule: x^(m+n) = (x^m)(x^n) (4^(2x))(4^5) Rule: x^(mn) = (x^m)^n (4^2)(4^x)(4^5) => Now, (6)(4)(4) + 3 = (6) + 3 => Finally, 9/5 and remainder is 4. Answer: 4
<result>C</res... | C | calc |
math_qa__9Wckxt4zfvJqU5w0 | A man distributed Rs. 100 equally among his friends. If there had been 5 more friends, each would have received one rupee less. How many friends had he ?
Choose the correct choice.
A) 20
B) 25
C) 30
D) 35
E) 40 | <gadget id="calculator">100 / 5</gadget>
<output>20</output>
<gadget id="calculator">20 + 5</gadget>
<output>25</output>
<result>B</result> | B | calc |
aqua_rat__4X6pEaUGAj9ST7O8 | A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is? Select the correct option.
A) 3 B) 4 C) 6 D) 5 E) 7 | Average speed = (2 * 3 * 2) / (3 + 2) = 12/5 km/hr. Distance traveled = 12/5 * 5=
<gadget id="calculator">12/5 * 5</gadget>
<output>12</output>
12 km. Distance between house and school= 12/2=
<gadget id="calculator">12/2</gadget>
<output>6</output>
6 km. Answer:6
<result>C</result> | C | calc |
ape210k__00272255 | The school conference room is paved with square bricks, and the square bricks with a side length of 6 decimeters need 300 pieces; if the square bricks with a side length of 10 decimeters are used instead, how many pieces are needed? (Solution with proportional knowledge) | <gadget id="calculator">6 * 6 * 300</gadget>
<output>10_800</output>
<gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">10_800 / 100</gadget>
<output>108</output>
<result>108</result> | 108 | calc |
aqua_rat__IptqrTdtNtAD2YqB | Set A is {1, 3, 5, 7, 9}
Set B is {12, 14, 16, 18, 20}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard deviation of Set A.... | The mean and median of Set A is 5. The mean and median of Set B is 16. Thus statements I and II are both true. The standard deviation is related to the distance from the mean. Since the elements of both sets are spaced identically around the mean (+/- 2, +/- 4), the standard deviations of both sets are equal. ... | B | calc |
aqua_rat__oVceKHhmCeOdHH4I | Find the value for x from below equation: x/3=-7? Choose the correct choice from the following choices:
A) -6
B) -21
C) -2
D) -3
E) 4 | 1. Multiply both sides by 3: x*3/3= -7/3 Simplify both sides: x = -21 -21
<result>B</result> | B | calc |
ape210k__00511348 | A/15=236...B, how much is A to maximize B. | <gadget id="calculator">236 * 15</gadget>
<output>3_540</output>
<gadget id="calculator">15 - 1</gadget>
<output>14</output>
<gadget id="calculator">3_540 + 14</gadget>
<output>3_554</output>
<result>3_554</result> | 3_554 | calc |
aqua_rat__5146KBd5J67do3gQ | At what angle the hands of a clock are inclined at 15 minutes past 5 ? Choose the correct choice.
A) 72 1⁄2°
B) 64°
C) 58 1⁄2°
D) 67 1⁄2°
E) None of these | At 15 minutes past 5, the minute hand is at 3 and hour hand slightly advanced from 5. Angle between their 3rd and 5th position. Angle through which hour hand shifts in 15 minutes is (15 × 1⁄2)° = 7 1⁄2° ∴ Required angle = (60 + 71⁄2) = 67 1⁄2° Answer 67 1⁄2°
<result>D</result> | D | calc |
ape210k__00465241 | What is the number 333 less than 600 | <gadget id="calculator">600 - 333</gadget>
<output>267</output>
<result>267</result> | 267 | calc |
ape210k__00855917 | A car travels at 60 kilometers per hour on the road and 40 kilometers per hour on the mountain road. The car travels on the road and on the mountain road for 4 hours each. How many kilometers has it traveled in total? | <gadget id="calculator">60 + 40</gadget>
<output>100</output>
<gadget id="calculator">100 * 4</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00262290 | 120/6=20, when the dividend increases, the quotient increases by 2. | <gadget id="calculator">6 * 2</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00943811 | The library bought a batch of books, and after filling 4 bookshelves with these books, there are still 50 books left. If an average of 200 books are placed on each shelf, how many books are there in total? | <gadget id="calculator">200 * 4</gadget>
<output>800</output>
<gadget id="calculator">800 + 50</gadget>
<output>850</output>
<result>850</result> | 850 | calc |
ape210k__00838931 | Calculation: 1989*19901990-1990*19891989=how much. | <gadget id="calculator">1_989 * 19_901_990</gadget>
<output>39_585_058_110</output>
<gadget id="calculator">1_990 * 19_891_989</gadget>
<output>39_585_058_110</output>
<gadget id="calculator">39_585_058_110 - 39_585_058_110</gadget>
<output>0</output>
<result>0</result> | 0 | calc |
aqua_rat__0bpEvbvEORZkcx6a | Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.72000 after completion of one year. What will be Jose's share of profit? Choose the correct choice from the following choices:
A) 20000
B) 10000
C) 25000
D) 34000
E) 40000 | SoL = ~s- So Anju’s share = [5/9] x 72000 = 40000 40000
<result>E</result> | E | calc |
ape210k__00287493 | Solution ratio: X: 50 = 1.5: 75. | <gadget id="calculator">1.5 / 75</gadget>
<output>0.02</output>
<gadget id="calculator">0.02 * 50</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00427736 | The fruit shop has newly bought 50 boxes of apples, each box is 25 kilograms, and the price is 4 yuan per kilogram. How much can these apples be sold for in total? | <gadget id="calculator">4 * 25 * 50</gadget>
<output>5_000</output>
<result>5_000</result> | 5_000 | calc |
math_qa__Fc1FcQiQPYR4uBf0 | Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3? Options:
A) 3 / 10 B) 1 / 2 C) 2 / 5 D) 3 / 7 E) 1 / 6 | <gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<result>A</result> | A | calc |
aqua_rat__39ycgD119P9KXp7T | Increasing the original price of an article by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by
Choose one:
A) 40%
B) 41%
C) 42%
D) 43%
E) 44% | 1.2*1.2*x = 1.44*x The answer is 44%.
<result>E</result> | E | calc |
ape210k__00072107 | A garbage treatment plant processes (2/5) tons of garbage on the first day, and (1/6) tons less on the second day than on the first day. How many tons of garbage are processed in total in these two days? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(2/5) - (1/6)</gadget>
<output>7/30 = around 0.233333</output>
<gadget id="calculator">(2/5) + (7/30)</gadget>
<output>19/30 = around 0.633333... | 19/30 | calc |
ape210k__01113601 | A 72 cm long iron wire is welded into a cuboid so that the ratio of length, width and height is 4:3:2. What is the volume of this cuboid? | <gadget id="calculator">72 / 4</gadget>
<output>18</output>
<gadget id="calculator">4 + 3 + 2</gadget>
<output>9</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">3 / 9</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2 / 9</gadget>... | 192 | calc |
ape210k__00776683 | A log with a length of 2.5 meters and a cross-sectional radius of 10 cm is processed into the largest square log. What is the volume of the square log in cubic decimeters? | <gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">2.5 * 10</gadget>
<output>25</output>
<gadget id="calculator">2 * 100 * 25</gadget>
<output>5_000</output>
<result>5_000</result> | 5_000 | calc |
aqua_rat__LdoCjoojIN87d6pi | The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is Pick:
A) 288 B) 278 C) 245 D) 397 E) 252 | Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X = 245 m. Answer:245
<result>C</result> | C | calc |
ape210k__00466611 | "Sunshine Community" covers an area of 22,000 square meters, of which the green area is 5,500 square meters. The state stipulates that the green area rate of residential quarters should not be lower than 30%. Has the green area rate of "Sunshine Community" reached the standard? If not, how many tens of thousands of squ... | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">2.2 * (3/10)</gadget>
<output>0.66</output>
<gadget id="calculator">0.66 - 0.55</gadget>
<output>0.11</output>
<result>0.11</result> | 0.11 | calc |
aqua_rat__Ppzy897iRJqJUJiV | If a and b are positive integers of I such that a/b=2.86, which of the following must be a divisor of a? Choose the correct choice: A) 10 B) B.13 C) 18 D) 26 E) 50 | The prompt gives us a couple of facts to work with: 1) A and B are positive INTEGERS 2) A/B = 2.86 We can use these facts to figure out POSSIBLE values of A and B. The prompt asks us for what MUST be a divisor of A. Since we're dealing with a fraction, A and B could be an infinite number of different integers, so... | B | calc |
ape210k__00239345 | 10 kilograms of oil are sold (4/5), how many kilograms are left. | <gadget id="calculator">4 / 5</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">10 * (1/5)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00509232 | high-speed train departs from Shanghai at 8 am, travels 150 kilometers per hour, and arrives in Beijing at 6 pm. How far is the distance between Shanghai and Beijing? | <gadget id="calculator">150 * 10</gadget>
<output>1_500</output>
<result>1_500</result> | 1_500 | calc |
aqua_rat__KHTQVJboMFC6qEfp | A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 5/8; circuit th... | The first circuit doesn't matter. Prob(relay fails) = 1 - Prob(relay succeeds) Prob(2+3 work) = 1 - 3/16 = 13/16 Prob(4+5 work) = 1 - 3/10 = 7/10 Prob(relay fails) = 1 - Prob(2+3 work AN69/160 4+5 work) = 1 - (13/16)(7/10) = 1 -91/160 = 69/160 69/160
<result>D</result> | D | calc |
aqua_rat__RSYQGFFfjWzrNpkz | Find number which is 60% less than 120.
Pick one
A) 18 B) 22 C) 28 D) 48 E) 98 | Explanation: 60% less is 40% of the given number Therefore, 40% of 120 is 48. ANSWER: 48
<result>D</result> | D | calc |
ape210k__00333525 | An orangutan eats 15 kilograms of food every day. There are 8 orangutans in the zoo. How many kilograms of food do they eat in a week? | <gadget id="calculator">15 * 8 * 7</gadget>
<output>840</output>
<result>840</result> | 840 | calc |
ape210k__00357428 | The length, width, and height of a cuboid are 5cm, 4cm, and 3cm respectively. If it is sawed into a largest cube, how much will the volume be reduced? | <gadget id="calculator">5 * 4 * 3</gadget>
<output>60</output>
<gadget id="calculator">3 * 3 * 3</gadget>
<output>27</output>
<gadget id="calculator">60 - 27</gadget>
<output>33</output>
<gadget id="calculator">33 / 60</gadget>
<output>11/20 = around 0.55</output>
<result>11/20 = around 0.55</result> | 11/20 | calc |
ape210k__00943301 | A car consumes (5/36) kilograms of fuel for driving 1 kilometer. Now driving from place A to place B, the fuel consumption of driving 108 kilometers is the whole journey (3/5). From place A to place B How many kilograms of oil does the land need in total? | <gadget id="calculator">5 / 36</gadget>
<output>5/36 = around 0.138889</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">108 / (3/5)</gadget>
<output>180</output>
<gadget id="calculator">(5/36) * 180</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
aqua_rat__njDvdRXtp9dAdneL | In a certain random experiment, exactly one of the outcomes A, B, and J will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcom... | Number of ways in which a group of 2A,2B,2J can be formed in any order = 6!/(2!*2!*2!) [ formula for total of 6 items with 2 each of similar kind) Total number of ways in which the die can be thrown independently = _ _ _ _ _ _ ; there are 6 places .First can be filled in 3 different ways A/B/J; Second in 3 diff ways ... | C | calc |
ape210k__00512310 | A piece of square steel is 20 cm long, its cross-section is a square with a side length of 1.5 cm, and the steel weighs 7.8 grams per cubic centimeter. How much does this square bar weigh in grams? | <gadget id="calculator">1.5 * 1.5 * 20 * 7.8</gadget>
<output>351</output>
<result>351</result> | 351 | calc |
ape210k__01036297 | The canteen brings in some rice, eats 30 kilograms a day, eats for 5 days, and there are 20 kilograms left, how many kilograms of rice are brought into the canteen? | <gadget id="calculator">30 * 5</gadget>
<output>150</output>
<gadget id="calculator">150 + 20</gadget>
<output>170</output>
<result>170</result> | 170 | calc |
aqua_rat__6VQTEiXYUiekEY1u | The product of two consecutive odd no is -1, then what is the value of the sum of them. Choose the correct choice:
A) -2 B) -1 C) 0 D) 1 E) 2 | Two odd numbers are -1 and +1. -1+1=
<gadget id="calculator">-1+1</gadget>
<output>0</output>
0 ANSWER:0
<result>C</result> | C | calc |
aqua_rat__3RKHvw012mMllkAw | A train speeds past a pole in 23 seconds and a platform 125 m long in 33 seconds. Its length is? Answers:
A) 275
B) 287.5
C) 288
D) 233.5
E) 245.6 | Let the length of the train be x meters and its speed be y m/sec. They, x / y = 23 => y = x/23 x + 125 / 33 = x / 23 x = 287.5 m. Answer:287.5
<result>B</result> | B | calc |
aqua_rat__RXX97jwfO8Q5JMCp | How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length? Choose the correct option
A) 50 sec B) 45 sec C) 55 sec D) 65 sec E) 51 sec | 55 sec 55 sec T = (660 + 165)/54 * 18/5=
<gadget id="calculator">(660 + 165)/54 * 18/5</gadget>
<output>55</output>
55
<result>C</result> | C | calc |
ape210k__00238852 | theater has 20 rows of seats, the first row has 30 seats, and each subsequent row has 2 more seats than the previous row. How many seats are there in total in this theater? | <gadget id="calculator">20 - 1</gadget>
<output>19</output>
<gadget id="calculator">19 * 2</gadget>
<output>38</output>
<gadget id="calculator">30 + 38</gadget>
<output>68</output>
<gadget id="calculator">30 + 68</gadget>
<output>98</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="c... | 980 | calc |
aqua_rat__SOQjst1Y5zhFtheF | How many quarters are equal to 3 dollars? Choose the correct choice from the following.
A) 1
B) 8
C) 12
D) 9
E) 7 | 3*4=
<gadget id="calculator">3*4</gadget>
<output>12</output>
12 quarters Answer : 12
<result>C</result> | C | calc |
aqua_rat__rhGmNub5ubYwlUzJ | When two dice are rolled, what is the probability that the sum of the two numbers is 6? Options.
A) 1/9 B) 5/36 C) 1/3 D) 2/36 E) None of the above | We have 5 outcomes that satisfy the question: 1-5 2-4 3-3 4-2 5-1 the probability is (1/6*1/6)*5= 5/36. I think the answer is 5/36
<result>B</result> | B | calc |
aqua_rat__6zXL6x0GiGN6YQ91 | In a certain alphabet, 16 letters contain a dot and a straight line. 30 letters contain a straight line but do not contain a dot. If that alphabet has 50 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line? Select
A) 4 B) 8 C) 12 D) 16... | We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0). First we find the total # of letters with lines: 16 +30=
<gadget id="calculator"> 16 +30</gadget>
<output>46</output>
46; Next, we find th... | A | calc |
ape210k__00278027 | A plane departs from the airport to a certain place to perform a mission. It was originally planned to fly 8 kilometers per minute. In order to gain time, the flight speed is now increased to 12 kilometers per minute, and the result is 40 minutes earlier than the original plan. QHow far is the airport from the destinat... | <gadget id="calculator">40 * 8</gadget>
<output>320</output>
<gadget id="calculator">12 - 8</gadget>
<output>4</output>
<gadget id="calculator">320 / 4</gadget>
<output>80</output>
<gadget id="calculator">80 * 12</gadget>
<output>960</output>
<result>960</result> | 960 | calc |
gsm8k__Cihnv9CbjyYhN2v0 | Cersei bought 50 cotton candies. She gave her brother and sister 5 cotton candies each, then gave the remaining one-fourth of them to her cousin. If she ate 12 cotton candies, how many cotton candies are left? | Cersei gave a total of 5 x 2 =
<gadget id="calculator">5*2</gadget>
<output>10</output>
10 cotton candies to her brother and sister.
So, the total cotton candies left were 50 - 10 =
<gadget id="calculator">50-10</gadget>
<output>40</output>
40.
And she gave 1/4 x 40 =
<gadget id="calculator">1/4*40</gadget>
<output>... | 18 | calc |
math_qa__14oFMSugI9iMp4iX | A jar contains a mixture of two liquids Acid( nitric acid) and Base(ammonium chloride) in the ratio 4 : 1. When 10 litres of the mixture is taken out and 10 litres of liquid Base is poured into the jar, the ratio becomes 2 : 3. How many litres of liquid Acid was contained in the jar?
Choose the correct answer:
A) 14 lt... | <gadget id="calculator">10 + 10</gadget>
<output>20</output>
<gadget id="calculator">20 * 4</gadget>
<output>80</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">80 / 5</gadget>
<output>16</output>
<result>D</result> | D | calc |
math_qa__rj4ywckWr6IMvaE3 | In Kaya's teacher's desk there are 6 pink highlighters, 2 yellow highlighters, and 4 blue highlighters. How many highlighters are there in all? Select the correct option:
A) 11 B) 12 C) 77 D) 33 E) 88 | <gadget id="calculator">6 + 2</gadget>
<output>8</output>
<gadget id="calculator">8 + 4</gadget>
<output>12</output>
<result>B</result> | B | calc |
ape210k__00072158 | There were 220 sheep sweaters in the store, 26 were sold on the first day, and 44 were sold on the second day. How many cardigans are left now? | <gadget id="calculator">220 - 26 - 44</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__00660255 | Master Wang has to process 120 parts, and after one day of processing, there are still (2/5) of all parts not completed. If the ratio of the number of unfinished parts to the number of completed parts is 2:13, how many parts does Master Wang need to process? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">2 + 13</gadget>
<output>15</output>
<gadget id="calculator">2 / 15</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">(2/5) - (2/15)</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="cal... | 32 | calc |
ape210k__00532323 | The Chibi War was about to start, but the coach Zhou Yu found that there were not enough bows and arrows, and there were still 30,000 bows! So Lu Su and Zhuge Liang were ordered to make it. Lu Su said that the people he led would need 30 days to complete the project; Zhuge Liang said that the people he led would only n... | <gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/30) + (1/20)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / (1/12)</gadget>
<output>12</output>
<result... | 12 | calc |
aqua_rat__IuUovdtrILKAgMc4 | The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 8 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tourn... | To get 40 points as end of season we need another 32 points or more from remaining 15 matches: Option A= 6*3+9*1=
<gadget id="calculator">6*3+9*1</gadget>
<output>27</output>
27 Option B=7*3 + 8*1=
<gadget id="calculator">7*3 + 8*1</gadget>
<output>29</output>
29 Option C=8*3+7*1=
<gadget id="calculator">8*3+7... | D | calc |
aqua_rat__bkgCgumd8QaH6BiL | A car consumes 210 liters of petrol weekly. For how many days will 1470 liters of petrol be sufficient? Choose the correct choice from the following:
A) 38 B) 20 C) 28 D) 49 E) 10 | Explanation: No explanation is available for this question! ANSWER:49
<result>D</result> | D | calc |
ape210k__00769225 | trapezoid, if the upper base is extended by 8cm, becomes a parallelogram, and the area increases by 16cm**2, if the upper base of the original trapezoid is 4cm, what is the area of the original trapezoid in square centimeters? | <gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">16 * (1/4)</gadget>
<output>4</output>
<gadget id="calculator">4 + 8 + 4</gadget>
<output>16</output>
<gadget id="calculator">2 / 8 / 2</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">16 * 16 * (1/... | 32 | calc |
ape210k__00274849 | Li Min wants to make a 220-gram cup of chocolate with "Gao Lego". According to the product's suggestion, the ratio of Gao Lego to milk mass is 1:10. How many grams of Gao Lego does she need to put? | <gadget id="calculator">1 + 10</gadget>
<output>11</output>
<gadget id="calculator">220 / 11</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__GTfcBwgzW5Dp34GQ | A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family ?
Pick one.
A) 31( 5/7) B) 81( 5/7) C) 51( 5/7) D) 41( 5/7) E) 31( 3/7) | Explanation: Required average = (67 * 2 + 35 * 2 + 6 * 3) / (2 + 2 + 3) = (134 + 70 + 18) / 7 = 222 / 7 = 31(5/7) years. 31( 5/7)nswer: 31( 5/7)
<result>A</result> | A | calc |
ape210k__00179638 | Xiao Ming blows bubbles once every minute, 100 at a time. After 1 minute, half of the blown bubbles burst, and there is still (1/20) left in 2 minutes, and they are all burst in 2 and a half minutes. When Xiao Ming blows out 100 times, is there a total of How many bubbles to burst? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 + (1/2) + (1/20)</gadget>
<output>31/20 = around 1.55</output>
<gadget id="calculator">100 * (31/20)</gadget>
<output>155</output>
<result>15... | 155 | calc |
ape210k__00230042 | The fifth grade students learn from Lei Feng and do good deeds. They are divided into groups of 10, 12, or 15. They are all divided exactly. How many students are there at least in the fifth grade? | <gadget id="calculator">2 * 5 * 3 * 2</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00519561 | There are 4 weights of 1 gram, 2 gram, 5 gram and 10 gram, how many objects of different masses can be weighed in total? (Weights are only allowed on one side of the balance) | <gadget id="calculator">6 + 4 + 4 + 1</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00499425 | The general weight of Mongolian cattle is about 320 kilograms, and the weight of grassland red cattle is about 1.2 times that of Mongolian cattle. How many kilograms is the weight of grassland red cattle? | <gadget id="calculator">320 * 1.2</gadget>
<output>384</output>
<result>384</result> | 384 | calc |
ape210k__00180573 | A and B are located on the same river, and B is 100 kilometers downstream of A. Ship A departs from A and ship B departs from B at the same time, and they head towards each other. When A arrives at B, and B returns to A immediately, the water speed is 2 m/s, and the still water speed of the two ships is the same. If th... | <gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">120 / 2 / 40</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) * 2</gadget>
<output... | 10 | calc |
aqua_rat__pQUQ5wthNGUJrDNT | If the cost price is 96% of sp then what is the profit % Select the correct option.
A) 4.07%
B) 4%
C) 4.7%
D) 4.17%
E) 4.27% | Sol. sp=Rs100 : then cp=Rs 96:profit =Rs 4. Profit={(4/96)*100}%=4.17% Answer is 4.17%.
<result>D</result> | D | calc |
aqua_rat__nU71hv2gbitWfdbx | The ratio of cost price to the marked price of an article is 4 : 5. If the ratio of the
profit percentage on selling the article to the discount allow ed on it is 5 : 4, w hat is the
profit percentage? Answers.
A) 10% B) 12% C) 12.5% D) 15% E) 17% | CP:MP=4:5 so assume cp=400 and MP=500. PROFIT%:DISCOUNT=5:4. so let 5x and 4x. now from the problem After giving discount on marked price still he has a profit too. 500 - (4x% of 500) = 400 + (5x% of 400) 500 - 2x = 400 + 2x solving we get x=5/2 profit percentage = 5x = 5(5/2) = 12.5% ANSWER:12.5%
<re... | C | calc |
ape210k__00177942 | When Xiaohong is doing an addition formula, she regards the 8 in the tens place as 3, and the 0 in the ones place as 6. The resulting sum is 161. What is the correct answer? | <gadget id="calculator">80 - 30 - 6 - 0</gadget>
<output>44</output>
<gadget id="calculator">161 + 44</gadget>
<output>205</output>
<result>205</result> | 205 | calc |
aqua_rat__V2G3jsI2FF5CC2eZ | Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution P in the liquid in the tank after 3 minutes?
Choose... | Part filled by (A + 2/11 + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20 Part filled by A in 3 minutes = 3/30 Required ratio = 3/30 * 20/11 = 2/11 Answer:2/11
<result>B</result> | B | calc |
ape210k__00574387 | A project can be completed in 8 hours alone, and B can be completed in 12 hours alone. A can complete the remaining work in 3 hours, and A and B cooperate to complete the remaining work. How many hours will it take? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/8) * 3</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 - (3/8)</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<ga... | 3 | calc |
math_qa__3UfIMDv3GOyxJlQS | Johnny makes $2.35 per hour at his work. If he works 5 hours, how much money will he earn? Choose the correct choice from the following:
A) $ 30
B) $ 54
C) $ 28.50
D) $ 12
E) $ 11.75 | <gadget id="calculator">2.35 * 5</gadget>
<output>11.75</output>
<result>E</result> | E | calc |
ape210k__00152632 | A fraction can be reduced to (1/2) if its denominator is added with 1, and it can be reduced to (2/3) if its denominator is subtracted from 1. what is this number | <gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<result>4/7 = around 0.571429</result> | 4/7 | calc |
aqua_rat__wHcqKKLbZJaaR9Bw | We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value R of the ratio A/B?
Select: A) 1/2 B) 1/3 C) 2/3 D) 1/4 E) 1/5 | R-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2. Therefore, the answer is 1/2.
<result>A</result> | A | calc |
ape210k__00583026 | In the handicraft class, Wenwen made three storage boxes without covers, 29cm long, 16cm wide, and 14cm high. How many square decimeters of hard paper are needed for these three storage boxes? | <gadget id="calculator">29 * 16</gadget>
<output>464</output>
<gadget id="calculator">29 * 14</gadget>
<output>406</output>
<gadget id="calculator">16 * 14</gadget>
<output>224</output>
<gadget id="calculator">406 + 224</gadget>
<output>630</output>
<gadget id="calculator">630 * 2</gadget>
<output>1_260</output>
<... | 5_172 | calc |
ape210k__00426151 | The power consumption of this month is saved (1/8) compared with the previous month, and the power consumption of this month is the amount of the previous month. | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 - (1/8)</gadget>
<output>7/8 = around 0.875</output>
<result>7/8 = around 0.875</result> | 7/8 | calc |
ape210k__00393208 | A basket of apples weighs 45.5 kg with the basket. After taking out half of the apples, the weight of the basket is 24.5 kg. How much does the basket weigh? | <gadget id="calculator">45.5 - 24.5</gadget>
<output>21</output>
<gadget id="calculator">24.5 - 21</gadget>
<output>3.5</output>
<result>3.5</result> | 3.5 | calc |
aqua_rat__VOi5xjwEGvT6Fq5g | For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+2 and 7*+7, inclusive ? Choose the correct option: A) 0 B) 1 C) 2 D) 3 E) 4 | Given that n* denotes the product of all the integers from 1 to n, inclusive so, 7* + 2 = 7! + 2 and 7* + 7 = 7! + 7. Now, notice that we can factor out 2 our of 7! + 2 so it cannot be a prime number, we can factor out 3 our of 7! + 3 so it cannot be a prime number, we can factor out 4 our of 7! + 4 so it cannot be a... | A | calc |
ape210k__00872581 | Take a piece of plasticine with a volume of 80 cubic centimeters and knead it into a cone with a base area of 16 square centimeters. How tall is the pinched cone? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">80 / (1/3) / 16</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__6ybVgw4v4ceiLhoh | A heap of coconuts is divided into groups of 2, 3 and 7 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61 Choose the correct choice:
A) A)31
B) B)43
C) C)51
D) D)61
E) E)71 | LCM = 42 => 42 + 1=
<gadget id="calculator">42 + 1</gadget>
<output>43</output>
43 ANSWER:43
<result>B</result> | B | calc |
ape210k__00606466 | Cars A and B drive from two places AB at the same time. When they meet, they are 20 kilometers away from the midpoint. The speed of car A is 80% of that of car B. When car B arrives at point A, how many kilometers has car A traveled? | <gadget id="calculator">20 * 2</gadget>
<output>40</output>
<gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(5/9) - (4/9)</gad... | 160 | calc |
ape210k__00094691 | The number of A is 14.6, the number of B is 8.2 less than 3 times of the number of A, how much more is the number of B than the number of A? | <gadget id="calculator">14.6 * 3</gadget>
<output>43.8</output>
<gadget id="calculator">43.8 - 8.2 - 14.6</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00162072 | Xiaohua uses a frying pan to cook pancakes. This pan can hold 2 large pancakes at the same time. It takes 4 minutes to fry one pancake (2 minutes for the front and back). | <gadget id="calculator">4 + 6</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
aqua_rat__RK9XJe41bEp3jQsw | On flipping 3 coins together what is the outcomes for at least two tail? Choose the correct choice from the following: A) 1/7 B) 3/8 C) 3/11 D) 4/13 E) 5/13 | Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT} Favorable outcomes for at least two heads = favorable outcomes for exactly two heads and favorable outcomes for more than two heads = {TTH, HTT, TTT} 3/8 3/8
<result>B</result> | B | calc |
aqua_rat__9SaIQtqD7g9XAgsA | The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers Options:
A) 9 B) 10 C) 15 D) 18 E) 20 | The only possible sum for 4 different squares of an integer with total sum number is 95 are : 49 + 36 + 9 + 1=
<gadget id="calculator">49 + 36 + 9 + 1</gadget>
<output>95</output>
95 which are the square from numbers : 7, 6, 3, 1 (total sum number is 20) or 81 + 9 + 4 + 1=
<gadget id="calculator"> 81 + 9 + 4... | E | calc |
ape210k__00088154 | Two cars leave from A and B at the same time. A travels 48 kilometers per hour, and B travels 54 kilometers per hour. When they meet, the two cars are 36 kilometers away from the midpoint. How many kilometers are the distance between A and B? | <gadget id="calculator">36 * 2</gadget>
<output>72</output>
<gadget id="calculator">54 - 48</gadget>
<output>6</output>
<gadget id="calculator">72 / 6</gadget>
<output>12</output>
<gadget id="calculator">48 + 54</gadget>
<output>102</output>
<gadget id="calculator">12 * 102</gadget>
<output>1_224</output>
<result>... | 1_224 | calc |
ape210k__00583840 | On Mother’s Day, the flower shop sells 800 flowers a day at 10 yuan each. It is known that the flower shop sells 500 flowers in the morning. How much less is the price in the afternoon than in the morning? | <gadget id="calculator">10 * 500</gadget>
<output>5_000</output>
<gadget id="calculator">800 - 500</gadget>
<output>300</output>
<gadget id="calculator">10 * 300</gadget>
<output>3_000</output>
<gadget id="calculator">5_000 - 3_000</gadget>
<output>2_000</output>
<result>2_000</result> | 2_000 | calc |
ape210k__00323751 | There is a batch of biscuits on the shelf of the supermarket. After 25 packs are sold, the salesperson adds another 12 packs. At this time, the number of packs of biscuits on the shelf is exactly 80% of the original. How many packages of biscuits are there on the shelf? | <gadget id="calculator">25 - 12</gadget>
<output>13</output>
<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">13 / (1/5)</gadget>
<output>65</output>
<result>65</result> | 65 | calc |
math_qa__oNkz02Kci2lsjlX9 | A train crosses a platform of 180 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? Choose the correct option:
A) 30
B) 887
C) 167
D) 197
E) 161 | <gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">15 / 5</gadget>
<output>3</output>
<gadget id="calculator">250 * 3</gadget>
<output>750</output>
<gadget id="calculator">20 / 5</gadget>
<output>4</output>
<gadget id="calculator">180 * 4</gadget>
<output>720</output>
<gadget id="ca... | A | calc |
aqua_rat__gS3fkEqOZsO4AXe8 | Find the odd man out. 1, 8, 27, 64, 125, 196, 216, 343 Choices
A) 64
B) 196
C) 216
D) 1
E) 343 | The pattern is 1^3, 2^3, 3^3, 4^3, 5^3, 6^3, 7^3. 196 is not a perfect cube Answer is 196
<result>B</result> | B | calc |
ape210k__00843453 | 18 meters (2/3) is as long as how many meters (1/5). | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(2/3) / (1/5)</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">18 * (10/3)</gadget>
<output>60</output>
<result>60</r... | 60 | calc |
ape210k__00781033 | An electrical appliance factory produces a batch of washing machines, 160 units per day for the first 5 days, and 360 units in total for the next 3 days. How many washing machines does this factory produce on average every day? | <gadget id="calculator">160 * 5</gadget>
<output>800</output>
<gadget id="calculator">800 + 360</gadget>
<output>1_160</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">1_160 / 8</gadget>
<output>145</output>
<result>145</result> | 145 | calc |
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