id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__BngOzNKi0qRUfoa1 | A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible? Choose the correct choice from the fo... | The first digit can be filled in 4 ways For second digit , it can either be 0 or 1 Case 1 - If second digit is 1 ,Third digit can take 6 values number of codes = 4 * 1 * 6=
<gadget id="calculator">4 * 1 * 6</gadget>
<output>24</output>
24 Case 2 - If second digit is 0,Third digit can take 5 values ( Third ... | D | calc |
ape210k__01014673 | Plant a willow tree every 5 meters around a circular pond, exactly 30 trees are planted, what is the circumference of the pond in meters? | <gadget id="calculator">5 * 30</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__00664657 | In a right triangle, the degree ratio of the two acute angles is 1:1, and the length of one of the sides is 4 cm. Find the area of the right triangle. | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00626658 | In the lamp market, there are 25 downlights, and pavilion lights are 18 more than three times the downlights. How many pavilion lights are there? | <gadget id="calculator">25 * 3</gadget>
<output>75</output>
<gadget id="calculator">75 + 18</gadget>
<output>93</output>
<result>93</result> | 93 | calc |
aqua_rat__Iry6Ue5wHtX2dz18 | The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
Select: A) 0 B) 1 C) -1 D) -2 E) 2 | Average of 20 numbers = 0.
Sum of 20 numbers = (0 * 20)=
<gadget id="calculator">(0 * 20)</gadget>
<output>0</output>
0.
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (- a). 0nswer : 0
<result>A</result> | A | calc |
gsm8k__7iZ9DNa2yheoOz9E | Gerald had 20 toy cars. He donated 1/4 of his toy cars to an orphanage. How many toy cars does Gerald have left? | Gerald gave away 20 x 1/4 =
<gadget id="calculator">20*1/4</gadget>
<output>5</output>
5 of his toy cars.
Therefore, he is left with 20 - 5 =
<gadget id="calculator">20-5</gadget>
<output>15</output>
15 toy cars.
<result>15</result> | 15 | calc |
ape210k__00049803 | From 6 o'clock to 9 o'clock, how many degrees does the hour hand turn on the clock face | <gadget id="calculator">30 * 3</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
math_qa__jXInmw0n1IgBGvuN | The difference between simple and compound interest on Rs. 1400 for one year at 10% per annum reckoned half-yearly is? Pick one: A) 8.25 B) 3.5 C) 9.0 D) 3.15 E) 2.0 | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) + 1</gadget>
<output>21/20 = around 1.05</output>
<gadget id="calculator">(21/20) ** 2</gadget>
<output>441/400 = around 1.1025</output>
<gadget id="... | B | calc |
ape210k__00079223 | Cong Cong's home is 500 meters away from the school. How many kilometers does he have to walk from home to school in the morning and back home after school at noon? | <gadget id="calculator">4 / 1_000</gadget>
<output>1/250 = around 0.004</output>
<gadget id="calculator">500 * (1/250)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00233505 | The population of Zhao, Qian, and Sun is 3, 5, and 2 in sequence. They share a water meter, and they agree to charge by person, and the billing unit is 10 days. If it is less than 10 days, it will be rounded up. A guest came to the Zhao family and stayed for 14 days; one member of the Sun family went on a business trip... | <gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">4 + 6 + 15 + 4</gadget>
<output>29</output>
<gadget id="ca... | 8 | calc |
ape210k__00100223 | There is 40kg of salt water with 8% salt content, how much salt should be added to the salt water to make the salt water 20% salt. | <gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">1 - (2/25)</gadget>
<output>23/25 = around 0.92</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>
<gadg... | 6 | calc |
ape210k__00228143 | 25*5=125, when the factor 5 is enlarged by 100 times, and the other factor remains unchanged, what is the product | <gadget id="calculator">25 * 5 * 100</gadget>
<output>12_500</output>
<result>12_500</result> | 12_500 | calc |
ape210k__00213210 | For a two-digit number composed of four numbers 3, 5, 6, and 7, what is the largest product of these two two-digit numbers? | <gadget id="calculator">65 * 73</gadget>
<output>4_745</output>
<result>4_745</result> | 4_745 | calc |
aqua_rat__ZbrlwIVBDjbLvnuF | A man shows his friend a woman sitting in a park and says that she the daughter of my grandmother's only son.What is the relation between the two Choose the correct answer
A) brother sister relation B) sister sister-in-law relation C) daughter father relation D) daughter mother relation E) grand daughter father relatio... | man(ram)--says-->friend(somu) Let the Daughter (ramya) (ram's)grandmother---->(ram's father)only son----->(ram's sister)Daughter. The relation between Ram & Ramya is brother sister relation brother sister relationNSWER:brother sister relation
<result>A</result> | A | calc |
aqua_rat__jXBmLAkhwmBNOEgC | The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 10 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together. Choose the most appropriate option
A) 35 B) 30 C) 25 D) Data inadequate E) None of these. | Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively. Given , M + C = 60 and C - P = 10 M + C / 2 = [(M + P) + (C - P)] / 2 = (60 + 10) / 2=
<gadget id="calculator">(60 + 10) / 2</gadget>
<output>35</output>
35. 35NSWER:35
<result>A</result> | A | calc |
ape210k__01051867 | A product is sold at a price that is 60% higher than the purchase price, and later it is sold at a 35% discount due to seasonal reasons. After the price reduction, each product is sold at 156 yuan. Is it a loss or a profit to sell a product now? How much money did you lose or make? | <gadget id="calculator">65 / 100</gadget>
<output>13/20 = around 0.65</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 + (3/5)</gadget>
<output>8/5 = around 1.6</output>
<gadget id="calculator">156 / (13/20) / (8/5)</gadget>
<output>150</output>
<gadget ... | 6 | calc |
ape210k__00038338 | Two classes in the fifth grade helped the school library to repair books. The first class repaired 55 books, and the second class repaired less (1/5) than the first class. How many books were repaired by the two classes? | <gadget id="calculator">55 + 44</gadget>
<output>99</output>
<result>99</result> | 99 | calc |
ape210k__00866235 | There are 30 students in Class 51 participating in the reading group, and the number of students participating in the calligraphy group is 6 times more than the number of people participating in the reading group. How many people participate in the calligraphy group? | <gadget id="calculator">30 * 2</gadget>
<output>60</output>
<gadget id="calculator">60 + 6</gadget>
<output>66</output>
<result>66</result> | 66 | calc |
aqua_rat__EhniTCF8cQvyYL77 | In how many ways can 7 different objects be dived among 3 persons so that either one or two of them do not get any object? Choose the correct choice.
A) 381
B) 180
C) 36
D) 84
E) 94 | case 1: for all obj are given to one person 3 case 2: choose two out of 3 3c2=3 naw no of ways to distribute 7 obj to two person=2^7 sub two way when no obj is given to both so no of ways=3+3c2(2^7-2)=381 381NSWER:381
<result>A</result> | A | calc |
ape210k__00947287 | There are 232 rabbits to be placed in 8 cages on average, how many rabbits are placed in each cage? | <gadget id="calculator">232 / 8</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
ape210k__00407514 | Longmen Primary School held a "Happy Children's Day" party, with a total of 16 programs on display. Among them, dance programs account for (1/8) of the total number of programs, songs account for (1/4) of the total number of programs, instrumental music programs account for (5/16) of the total number of programs, and t... | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">5 / 16</gadget>
<output>5/16 = around 0.3125</output>
<gadget id="calculator">1 - (1/8) - (1/4) - (5/16)</gadget>
<output>5/16 = around 0.3125</... | 5/16 | calc |
aqua_rat__v9tLltJaA8ovTxt7 | X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z? Choose the correct option.
A) Rs. 360
B) Rs. 120
C) Rs. 240
D) Rs. 300
E) None | Solution: In one day X can finish 1/15th of the work. In one day Y can finish 1/10th of the work. Let us say that in one day Z can finish 1/Zth of the work. When all the three work together in one day they can finish 1/15 + 1/10 + 1/Z = 1/5th of the work. Therefore, 1/Z = 1/30. Ratio of their efficiencies =... | B | calc |
aqua_rat__xvQxJm6JQqVcfDgO | 12, 14, x, 10
The median of the list of positive integers above is 11. Which of the following could be the average (arithmetic mean) of the list? Choose the correct answer
A) 3 B) 5.5 C) 11 D) 7 E) 7.5 | GivenThe median of the list of positive integers above is 11 So arranging the numbers from lowest to highest, avg of 2 middle terms needs to be 11 so the sequence will be x 10 12 14 Lets say x = 8, which gives us mean = sum/4 = 11 11 is correct
<result>C</result> | C | calc |
ape210k__00255569 | There are a batch of bricks on the construction site, two bricks on the top floor, 6 bricks on the second floor, 10 bricks on the third floor... (as shown in the picture), each floor is 4 more bricks than the previous one, and it is known that there are 2106 bricks on the bottom floor , how many bricks are there in tot... | <gadget id="calculator">2 + 2_106</gadget>
<output>2_108</output>
<gadget id="calculator">2_106 + 2</gadget>
<output>2_108</output>
<gadget id="calculator">2_108 / 4</gadget>
<output>527</output>
<gadget id="calculator">527 / 2</gadget>
<output>527/2 = around 263.5</output>
<gadget id="calculator">2_108 * (527/2)</... | 555_458 | calc |
ape210k__00207124 | If 4 cubes with side lengths of 2 decimeters are used to form a rectangle, what is the minimum surface area of the cube? | <gadget id="calculator">4 * 4 * 2</gadget>
<output>32</output>
<gadget id="calculator">4 * 2 * 4</gadget>
<output>32</output>
<gadget id="calculator">32 + 32</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
ape210k__00877937 | A large bottle of 1200ml drink costs 8 yuan, a small bottle of 400ml costs 3 yuan, store A buys a large bottle and gets a small bottle free, store B sells a 10% discount, and store C sells a 15% discount for a purchase of 30 yuan. Which store is the cheapest to buy 12 liters? | <result>12</result> | 12 | calc |
ape210k__00605680 | Class 5 and 1 bought 2 footballs and 25 skipping ropes for 100 yuan. Each football costs 25 yuan. How much is each skipping rope? | <gadget id="calculator">25 * 2</gadget>
<output>50</output>
<gadget id="calculator">100 - 50</gadget>
<output>50</output>
<gadget id="calculator">50 / 25</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__2i0dwctB9R5USaDM | A boat goes 100 km downstream in 10 hours, and 60 km upstream in 30 hours. The speed of the stream is? Pick one:
A) 5km/h
B) 2km/h
C) 3km/h
D) (1/2) km/h
E) E)4 | 100 --- 10 DS = 10 ? ---- 1 60 ---- 30 US = 2 ? ----- 1 S = (10 - 2)/2=
<gadget id="calculator">(10 - 2)/2</gadget>
<output>4</output>
4 kmph ANSW4R:4
<result>E</result> | E | calc |
ape210k__01093387 | Six students from the third grade of our school went to participate in sports competitions in the district on behalf of the school. Among them, 4 participated in the long-distance running competition and 4 participated in the long jump competition. How many people participated in both long-distance running and long jum... | <gadget id="calculator">4 - 6</gadget>
<output>-2</output>
<gadget id="calculator">4 + (-2)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
gsm8k__wwV9OWV4P3i2CrHx | Carter is a professional drummer. He goes through 5 sets of drum sticks per show. After the end of each show, he tosses 6 new drum stick sets to audience members. He does this for 30 nights straight. How many sets of drum sticks does he go through? | He uses 5 sets a night and tosses 6 sets to fans so he needs 5+6 =
<gadget id="calculator">5+6</gadget>
<output>11</output>
11 sets a night.
He goes through 11 sets a night for 30 nights so he needs 11*30 =
<gadget id="calculator">11*30</gadget>
<output>330</output>
330 drum stick sets.
<result>330</result> | 330 | calc |
aqua_rat__r0753ZlfTR79e2Co | In a game of 50 points; A can give B 5 points and C 15 points. Then how many points B can give C in a game of 90 ? Choose the correct answer:
A) can give C 1 points B) can give C 4 points C) can give C 2 points D) can give C 6 points E) can give C 20 points | A: B = 50 : 45, A : C = 50 : 35. B/C = ( B/ A * A/C) = (45 / 50 * 50 / 35) = 9/7 = 90 /70 Therefore ,In a game of 90, B can give C 20 points. Answer is can give C 20 points.
<result>E</result> | E | calc |
ape210k__00124225 | The length of the base of an isosceles triangle is (2/5) decimeters, and the length of one side is (3/4) decimeters. What is the perimeter of this isosceles triangle? | <gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">15 / 10</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/5) + (3/2)</gadget>
<output>21/10 = around 2.1</output>
<result>21/10 = around 2.1</result> | 21/10 | calc |
ape210k__00123102 | The distance between the two places is 80 kilometers. How many centimeters should be drawn on a map with a scale of 1:4,000,000? | <gadget id="calculator">1 / 4_000_000</gadget>
<output>1/4_000_000 = around 0</output>
<gadget id="calculator">80 * 100_000 * (1/4_000_000)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__XZAqSkKPfnWXjhPn | The Winston Pool League played a total of 90 balls of which the ladies sank 30%. After getting a good night's sleep, the ladies came back the next day and sank each of the next balls played bringing their average to 50%. How many ball did the league play for the ladies to achieve this average? Pick
A) 25
B) 30
C) 46
D... | Explanation: Identify the parts, set up equation, and solve. Number of balls initially sank by the ladies: 30% * 90 = 27 Total balls sank by the ladies leaving their average at 50%. (Let x represent the unknown number of additional balls sank by the ladies.) Therefore, the total number of balls played is 90+x, an... | E | calc |
ape210k__00245427 | 80% of the number A is equal to 30% of the number B. Given that the reciprocal of the number A is 3+(1/5), what is the number B? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">3 + (1/5)</gadget>
<output>16/5 = around 3.2</output>
<gadget id="calculator">1 / (16/5)</gadget>
<output>5/16 = around 0.3125</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget... | 5/6 | calc |
ape210k__00359597 | A conical valley mound has a bottom circumference of 12.56 meters and a height of 1.2 meters. How high can it be stacked if it is packed in a cylindrical grain storehouse with a base radius of 1 meter? | <gadget id="calculator">12.56 / 3.14 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">3.14 * 4 * 1.2 * (1/3)</gadget>
<output>5.024</output>
<gadget id="calculator">3.14 * ... | 1.6 | calc |
ape210k__01123759 | A, B, C, and D share a pile of peaches, A gets half of the total number of the other three people, B gets 1/3 of the total number of the other three people, and C gets 1/3 of the total number of the other three people. (1/4), 65 pieces are divided into dices, how many peaches are there in this pile? | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + 4</gadget>
<output>5... | 300 | calc |
ape210k__00554595 | In a factory, the ratio of male workers to female workers was 3:2. After 24 male workers were transferred, the ratio of male workers to female workers was 9:7. How many workers did the factory have? | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">9 / 7</gadget>
<output>9/7 = around 1.285714</output>
<gadget id="calculator">(3/2) - (9/7)</gadget>
<output>3/14 = around 0.214286</output>
<gadget id="calculator">24 / (3/14)</gadget>
<output>112</output>
<gadget id="... | 280 | calc |
math_qa__JSHS96COcMmM4O9w | For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 12, then v=
Choose the correct choice from the following answers:
A) 15 B) 18 C) 21 D) 24 E) 27 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">12 / (2/3)</gadget>
<output>18</output>
<gadget id="calculator">18 / (2/3)</gadget>
<output>27</output>
<result>E</result> | E | calc |
ape210k__00450802 | The upper base of a trapezoidal wheat field is 25m, the lower base is 35m, and the area is 1140m**2. How many meters high? | <gadget id="calculator">25 + 35</gadget>
<output>60</output>
<gadget id="calculator">2 / 60</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">1_140 * (1/30)</gadget>
<output>38</output>
<result>38</result> | 38 | calc |
math_qa__PklL2eiL3mlOdBC8 | If two integers x,y (x>y) are selected from -3 to 4 (inclusive), how many cases are there? Choose the correct choice from the following choices:
A) 20 B) 22 C) 24 D) 26 E) 28 | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">7 + 6</gadget>
<output>13</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">13 + 5</gadget>
<output>18</output>
<gadget id="calculator... | E | calc |
ape210k__01183757 | Cut a largest cylinder in a cuboid block with a length of 10cm, a width of 6cm and a height of 5cm. What is the maximum volume of this cylinder in cm**2. | <gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) ** 2</gadget>
<output>25/4 = around 6.25</output>
<gadget id="calculator">3.14 * (25/4) * 10</gadget>
<output>196.25</output>
<result>196.25</result> | 196.25 | calc |
ape210k__00210179 | How many three-digit numbers can be formed using the ten numbers from 0 to 9 without repeating numbers? | <gadget id="calculator">9 * 9 * 8</gadget>
<output>648</output>
<result>648</result> | 648 | calc |
aqua_rat__PqqwJeo535GtU5vX | If the day before yesterday was Thursday, when will Sunday be? Choose the correct option.
A) Day after tomorrow
B) Tomorow
C) Two days after today
D) Today
E) none | Explanation: Day before yesterday was Thursday =>Yesterday was a Friday => Today is a Saturday => Tomorrow is a Sunday Answer: Option Tomorow
<result>B</result> | B | calc |
aqua_rat__wWWYwq2fvyQJQeEl | An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product? Options.
A) 16
B) 36
C) 49
D) 144
E) 196 | 49 = 7^2 so it can not be the square of an even number multiplied by an odd number. The answer is 49.
<result>C</result> | C | calc |
aqua_rat__U6jW5XCPdVGerf6t | A river 4m deep and 65 m wide is flowing at the rate of 6 kmph the amount of water that runs into the sea per minute is? Choose the correct answer
A) 25000 B) 26000 C) 27000 D) 28000 E) 29000 | Rate of water flow-6kmph--6000/60--100 m/min depth of river--4m width of river--65m vol of water per min--100 *4*65---26000 Answer 26000
<result>B</result> | B | calc |
ape210k__00000018 | In the same circle, the diameter is 4 decimeters, what is the radius in centimeters | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00054641 | A room is 15 meters long and 12 meters wide. How many square floor tiles are needed to pave the floor with an area of 9 square decimeters? | <gadget id="calculator">12 / 9</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">15 * (4/3)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00314891 | Lili and her mother went shopping together. It cost 5.92 yuan to buy mushrooms, and 8.12 yuan more to buy beef than to buy mushrooms. How much did it cost to buy beef? | <gadget id="calculator">5.92 + 8.12</gadget>
<output>14.04</output>
<result>14.04</result> | 14.04 | calc |
ape210k__00498182 | Xiao Ming finished reading a book in two weeks. He read 132 pages in the first week and 56% of the book in the second week. How many pages does this book have? | <gadget id="calculator">56 / 100</gadget>
<output>14/25 = around 0.56</output>
<gadget id="calculator">1 - (14/25)</gadget>
<output>11/25 = around 0.44</output>
<gadget id="calculator">132 / (11/25)</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
aqua_rat__mMZ0ldtuq7p9YgUY | Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper ... | This problem can be easily solved by picking numbers. The explanation given in the OG can be very laborious. Lets say the number of newspaper A sold = 20, so revenue from A = 20 and the number of newspaper sold from B = 80, so revenue from B = 100. Now total revenue =120 out of which 20 came from A. So r = 20/120 =... | D | calc |
ape210k__00410758 | To dig a canal, the full length (3/5) was dug on the first day, and the full length (1/5) was dug on the second day, leaving 4 kilometers undug. How long is this canal in kilometers? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (3/5) - (1/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">4 / (1/5)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__xdNzBoKds2UrJQQJ | The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %? Choices: A) 18% B) 12% C) 22% D) 24% E) 21 | 1500 ---- 270 100 ---- ? => 18% 18%nswer:18%
<result>A</result> | A | calc |
ape210k__00063387 | Zhang Qiang used square paper with an area of 1 square decimeter to measure the area of the desk table, and placed 8 sheets along the long side and 5 sheets along the wide side. What is the area of the desk top in square decimeters? | <gadget id="calculator">8 * 5</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00661513 | Xiao Ming swam two back and forth in a 100-meter-long swimming pool, how many meters did he swim in total? | <gadget id="calculator">2 * 2 * 100</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00232365 | A study group has 3 male students and 4 female students, and now 2 group leaders need to be elected. If everyone has the same chance of being selected, how many possibilities are there for the selected group leader to be a man and a woman? | <gadget id="calculator">3 * 4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__kzPIZdcmTYeIUmd5 | A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/h. The other one walks at 5.4 km/h. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train? Choose the most appropriat... | 4.5 km/h = (4.5 × 5⁄18) m/sec = 1.25 m/sec. & 5.4 km/h = (5.4 × 5⁄18) m/sec = 1.5 m/sec. Let the speed of the train be S m/sec. Then, (S – 1.25) × 8.4 = (S – 1.5) × 8.5 ⇒ 8.4S – 10.5 = 8.5S – 12.75 ⇒ 0.1S = 2.25 ⇒ S = 22.5. ∴ Speed of the train = (22.5 × 18⁄5) km/h = 81 km/h Answer 81 km/h
<result>D</re... | D | calc |
aqua_rat__WDhAV8fty9glvMmm | How many words, with or without meaning, can be formed using all letters of the word RED using each letter exactly once? Select the correct option
A) 6
B) 7
C) 8
D) 9
E) 10 | The Word RED has exactly 3 letters which are all different. Therefore the number of words that can be formed = Number of permutations of 3 letters taken all at a time. = P (3, 3) = 3! = 3 x 2 × 1 = 6 6NSWER:6
<result>A</result> | A | calc |
aqua_rat__zimtLvVYicMXawR5 | What are the last two digits of 63*35*37*82? Choose the correct answer: A) 10 B) 30 C) 40 D) 70 E) 80 | We know that to find the last two digits, we need to find the remainder we get when we divide the product by 100. Remainder of (63*35*37*82*71*41)/ 100 Note that we can simplify this expression by canceling out the 5 and 2 in the numerator and denominator. But before we do that, here is an important note: Note: W... | B | calc |
aqua_rat__26ihgtVVfqBpDKl1 | A, B and C start a business each investing 2,000. After 6 months A withdrew 1000, B withdrew 1000 and C invests 1000 more. At the end of the year, a total profit of 6600 was recorded. Find the share of B. Choose the correct choice
A) 20,000 B) 21,200 C) 1,800 D) 20,500 E) None of these | Ratio of the capitals of A, B and 1,800 = 2000 × 6 + 1000 × 6 : 2000 × 6 + 1000 × 6 : 2000 × 6 + 3000 × 6 = 18000 : 18000 : 30000 = 18 : 18 : 30 B’s share = (6600 × 18â„66) = 1800 Answer 1,800
<result>C</result> | C | calc |
aqua_rat__V22wI21ERqTtDVKs | A boat crossed a lake from North to East at the speed of 7 km/h, entered a river and covered twice as much distance going upstream at 6 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed? Choose the correct answer:
A) 4 B) ... | One way of solving this is: Speed of boat on still water (lake)=7kmph Speed upstream = 6kmph = speed in still water - speed of river => speed of river = 1kmph =>Speed downstream = speed in still water + speed of river = 7+1=
<gadget id="calculator">7+1</gadget>
<output>8</output>
8kmph Ans is 8
<result>E... | E | calc |
ape210k__00095507 | There are 3 classes in the fourth grade, 4 classes in the fifth grade and 2 classes in the sixth grade. There are 48 students in each class of fourth grade, 45 students in each class of fifth grade, and 52 students in each class of sixth grade. How many people are there in the fourth and fifth grades? | <gadget id="calculator">48 * 3</gadget>
<output>144</output>
<gadget id="calculator">45 * 4</gadget>
<output>180</output>
<gadget id="calculator">144 + 180</gadget>
<output>324</output>
<result>324</result> | 324 | calc |
ape210k__01148969 | 6 □ 2 is a three-digit number. When the smallest number is filled in □, this number is a multiple of 3. | <result>1</result> | 1 | calc |
aqua_rat__cPmGpHgO6XQ418Ge | $400 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
Options.
A) $100 B) $150 C) $160 D) $200 E) $250 | A:(B+$160) = 2:3 A's share = 400*2/5=
<gadget id="calculator">400*2/5</gadget>
<output>160</output>
$160 Answer is $160
<result>C</result> | C | calc |
aqua_rat__FfqruYOFShe634n9 | What will come in place of the x in the following Number series? 1, 2, 4, 7, 12, 19, X Choose the correct choice from the following answers.
A) 23
B) 30
C) 31
D) 41
E) 29 | There is one series here (the numbers are being increased by prime numbers 1, 2, 3, 5, 7, 11....) 1 + 1=
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
2 2 + 2=
<gadget id="calculator">2 + 2</gadget>
<output>4</output>
4 4 + 3=
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
7 7 + 5=
... | B | calc |
ape210k__01035283 | The school flower pond is a rectangle with a length of 25 meters and a width of 15 meters. Xiaohong walked along the flower pond twice. How many meters did she walk? | <gadget id="calculator">25 + 15</gadget>
<output>40</output>
<gadget id="calculator">40 * 2 * 2</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
ape210k__00249114 | After the closing ceremony of the sports meeting, everyone was about to leave. The monitor Xiaoyue asked the whole class to stand in a line and count the number of people (she was not in the team herself). She counted from left to right first, and found that Dongdong was the 25th; then she counted from right to left, a... | <gadget id="calculator">29 - 31 - 2</gadget>
<output>-4</output>
<gadget id="calculator">25 + (-4)</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00452980 | 9 times a number and this number are reciprocals of each other, what is this number? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
ape210k__00471759 | The garment factory plans to make 695 sets of clothes. It has been done for 4.5 days, with an average of 86 sets per day. The rest should be finished within 3.5 days. How many sets should be made every day? | <gadget id="calculator">86 * 4.5</gadget>
<output>387</output>
<gadget id="calculator">695 - 387</gadget>
<output>308</output>
<gadget id="calculator">308 / 3.5</gadget>
<output>88</output>
<result>88</result> | 88 | calc |
aqua_rat__WjumRPO93VgyrNR7 | How long does a train 100 m long running at the speed of 65 km/hr takes to cross a bridge 145 m length? Options
A) 13.6 sec B) 12.1 sec C) 17.9 sec D) 61.9 sec E) 47.98 sec | Speed = 65 * 5/18 = 18 m/sec Total distance covered = 100 + 145=
<gadget id="calculator">100 + 145</gadget>
<output>245</output>
245 m. Required time= 245/18 = 13.6 sec. 13.6 secnswer:13.6 sec
<result>A</result> | A | calc |
ape210k__00080285 | The students go to buy drinks, the supermarket implements a "buy four get one free" promotion, 45 students each get a bottle, how many bottles of drinks do they need to buy at least. | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">45 / 5</gadget>
<output>9</output>
<gadget id="calculator">45 - 9</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
math_qa__GP0cHlpJbku6exHD | If y is the smallest positive integer such that 31,360 multiplied by y is the square of an integer, then y must be Choose the correct choice from the following options.
A) 21 B) 10 C) 61 D) 72 E) 14 | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>B</result> | B | calc |
aqua_rat__lWhJE3OWPOlCkzY4 | For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 45 true? Choices.
A) 1
B) 3
C) 5
D) 7
E) 9 | Answer 3 (a+b)(a-b)=45 3cases For (a+b), (a-b) 45, 1 15, 3 9, 5 Answer 3
<result>B</result> | B | calc |
aqua_rat__iCQSh3QBRdNTkBFc | The number 243 has been divided into three parts in such a way that one third of the first part, fourth of the second part and half of the third part are equal. Determine the largest part. Choose the most appropriate option:
A) 108
B) 86
C) 74
D) 92
E) 96 | Explanation: It is given that 243 has been divided into 3 numbers x y and z for instance. Second condition mentioned in the question is: => x/3 = y/4 =z/2 Clearly the biggest number is y. So let us solve w.r.t. y. => x = 3y/4 => x =3z/2 => z = y/2 => x+y+z = 243 => y/2 + 3y/4 + y = 2... | A | calc |
ape210k__00388713 | "Six Day" Children's Day, the school plans to insert a colorful flag every 5 meters from the beginning to the end of the top front of the 50-meter-long teaching building. How many colored flags do you need to buy? | <gadget id="calculator">50 / 5</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00345542 | There are 100 kilograms of green grass with a water content of 66%, and the water content drops to 15% after drying. How much does the grass weigh in kilograms after drying? | <gadget id="calculator">66 / 100</gadget>
<output>33/50 = around 0.66</output>
<gadget id="calculator">1 - (33/50)</gadget>
<output>17/50 = around 0.34</output>
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 - (3/20)</gadget>
<output>17/20 = around 0.85</outpu... | 40 | calc |
ape210k__00098313 | rectangular piece of glass is twice as long as it is wide, and its perimeter is 54 decimeters. What is the area of this rectangle? | <gadget id="calculator">54 / 2</gadget>
<output>27</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">27 * (2/3)</gadget>
<output>18</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = aro... | 162 | calc |
ape210k__00261126 | (1/(1*2))+(2/(1*2*3))+(3/(1*2*3*4))+…++(8/(1*2*3*… *9))=How much. | <gadget id="calculator">1 / 362_880</gadget>
<output>1/362_880 = around 0.000003</output>
<gadget id="calculator">1 - (1/362_880)</gadget>
<output>362_879/362_880 = around 0.999997</output>
<result>362_879/362_880 = around 0.999997</result> | 362_879/362_880 | calc |
aqua_rat__fnuSv0L71i13beWV | Find the distance covered by a man walking for 10min at a speed of 6km/hr? Choose the correct choice from the following:
A) 1km B) 2km C) 3km D) 1.5km E) 4km | Distance = 6*10/60=
<gadget id="calculator">6*10/60</gadget>
<output>1</output>
1km 1kmnswer is 1km
<result>A</result> | A | calc |
ape210k__00279701 | Teacher Li bought a batch of pencils to reward the students who performed well in the sports meeting. If each person gets 5 pencils, then there are 32 left; if each person gets 8 pencils, then there are 5 students who can't get it. How many pencils did Teacher Li buy in total? (two ways to solve) | <gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calculator">32 + 40</gadget>
<output>72</output>
<gadget id="calculator">8 - 5</gadget>
<output>3</output>
<gadget id="calculator">72 / 3</gadget>
<output>24</output>
<gadget id="calculator">5 * 24</gadget>
<output>120</output>
<gadget id="calc... | 152 | calc |
aqua_rat__wGNBXT4GTQeDNXGf | The average of 10 numbers is 23. If each number is increased by 3, what will the new average be? Choose the correct choice from the following choices
A) 36
B) 26
C) 72
D) 29
E) 22 | Sum of the 10 numbers = 230 If each number is increased by 3, the total increase = 3 * 10 = 40 The new sum = 230 + 30=
<gadget id="calculator">230 + 30</gadget>
<output>260</output>
260 The new average= 260/10=
<gadget id="calculator">260/10</gadget>
<output>26</output>
26. Answer:26
<result>B</result> | B | calc |
ape210k__00289736 | Teacher Wang bought a new house and spent 104,000 yuan on decoration, which was 20% less than planned. How much was Mr. Wang's original plan to spend on decoration? | <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">10.4 / (4/5)</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
ape210k__00455049 | What is the calculation result of 360+70*8 | <gadget id="calculator">70 * 8</gadget>
<output>560</output>
<gadget id="calculator">360 + 560</gadget>
<output>920</output>
<result>920</result> | 920 | calc |
aqua_rat__KgcZi4vlGSoEO1Ln | The side of a square has the length of 5. What is the area of the region shaded? Select.
A) 48-8π B) 48-6 π C) 24+6π D) 16-5π E) 64-8π | The area of a square whose side is 5 – (the area of a square whose side is 4 + the area of the semi-circle whose side is 4) = the area of the region shaded The correct answer is 16-5π.
<result>D</result> | D | calc |
ape210k__00568202 | The ratio of iodine to alcohol in the common drug "iodine" is 2:25, how many grams of iodine is needed to prepare 8100 grams of iodine? | <gadget id="calculator">2 + 25</gadget>
<output>27</output>
<gadget id="calculator">2 / 27</gadget>
<output>2/27 = around 0.074074</output>
<gadget id="calculator">8_100 * (2/27)</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
ape210k__00161724 | A project alone takes 9 hours and B alone takes 12 hours. If A works for 1 hour first, then 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, how many hours will it take to complete the task? | <gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/9) + (1/12)</gadget>
<output>7/36 = around 0.194444</output>
<gadget id=... | 41/4 | calc |
aqua_rat__aS4QxISOGS8VElTn | If a and b are the roots of the equation x2 - 5x + 5 = 0, then the value of a2 + b2 is: Pick:
A) 36 B) 24 C) 15 D) 6 E) 5 | Sol.(b) The sum of roots = a+ b = 5 Product of roots = ab = 5 Now, a2 + b2 = (a + b)2 - 2ab = 25 - 10=
<gadget id="calculator">25 - 10</gadget>
<output>15</output>
15 Answer 15
<result>C</result> | C | calc |
ape210k__00175118 | (2/7) ten (5/7) = how much | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">5 / 7</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">(2/7) + (5/7)</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00399478 | On a map with a scale of 1:10000, the distance between cities A and B is 5 cm, so what is the distance in cm between cities A and B on a map with a scale of 1:5000? | <gadget id="calculator">1 / 10_000</gadget>
<output>1/10_000 = around 0.0001</output>
<gadget id="calculator">5 / (1/10_000)</gadget>
<output>50_000</output>
<gadget id="calculator">1 / 5_000</gadget>
<output>1/5_000 = around 0.0002</output>
<gadget id="calculator">50_000 * (1/5_000)</gadget>
<output>10</output>
<r... | 10 | calc |
ape210k__00994213 | Xiao Ming reads a book. After reading (5/8), there are 54 pages left. How many pages are there in this book? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 - (5/8)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">54 / (3/8)</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
ape210k__00349681 | The third-grade students go to work in the orchard. There are 32 girls and 52 boys. 4 students are divided into groups. How many groups can they be divided into? | <gadget id="calculator">52 + 32</gadget>
<output>84</output>
<gadget id="calculator">84 / 4</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
aqua_rat__5eYKKpAV7BeEeDpZ | A large delicatessen purchased p pounds of cheese for K dollars per pound. If d pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the purchase? (gross profitequalssales revenueminusproduc... | Total cost price = K*p ............... (1) Wastage = d pounds Quantity sold = p-d Selling price per pound = s Total selling price = s(p-d) ........... (2) Profit = (2) - (1) = s(p-d) - Kp s(p-d) - Kp
<result>B</result> | B | calc |
ape210k__00750759 | A rope, after (2/5) is used up, the remaining (2/3) is used up, and the remaining 8 meters are useless. How many meters is this rope? | <gadget id="calculator">2 / 5</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">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadge... | 40 | calc |
ape210k__00480977 | The sum of two numbers is 780, one addend is 596, what is the other addend. | <gadget id="calculator">780 - 596</gadget>
<output>184</output>
<result>184</result> | 184 | calc |
ape210k__00414799 | When participating in spring tree planting, 98 students from the fifth grade went to plant 25 trees each; 58 students from the fourth grade went to plant 25 trees each. How many more trees are planted in fifth grade than in fourth grade? | <gadget id="calculator">98 - 58</gadget>
<output>40</output>
<gadget id="calculator">40 * 25</gadget>
<output>1_000</output>
<result>1_000</result> | 1_000 | calc |
ape210k__00116712 | Among fractions (7/20), 1(1/8), (12/15), (3/14), how many fractions cannot be reduced to finite decimals. | <gadget id="calculator">3 / 14</gadget>
<output>3/14 = around 0.214286</output>
<result>3/14 = around 0.214286</result> | 3/14 | calc |
aqua_rat__USfHqUT1VKJ01Y9t | A man cycling along the road noticed that every 6 minutes a bus overtakes him and every 2 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses? Choose the correct option: A) 3 minutes B) 6 minutes C) 8 minutes D) 9 minutes E) 10 min... | Let's say the distance between the buses is d. We want to determine Interval=\frac{d}{b}, where b is the speed of bus. Let the speed of cyclist be c. Every 6 minutes a bus overtakes cyclist: \frac{d}{b-c}=6, d=6b-6c; Every 2 minutes cyclist meets an oncoming bus: \frac{d}{b+c}=2, d=2b+2c; d=6b-6c=2b+2c, --> ... | A | calc |
math_qa__Gib7vkR8StZ8M10d | Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p +1? Choose the most appropriate option.
A) 7
B) 8
C) 9
D) 10
E) 11 | <gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<result>A</result> | A | calc |
ape210k__00506054 | A parallelogram rice field has a base of 35 meters and a height of 24 meters. The total harvested rice is 882 kilograms. How many kilograms of rice are harvested per square meter on average? | <gadget id="calculator">35 * 24</gadget>
<output>840</output>
<gadget id="calculator">882 / 840</gadget>
<output>21/20 = around 1.05</output>
<result>21/20 = around 1.05</result> | 21/20 | calc |
ape210k__00246744 | The number A is 24 greater than the number B. The ratio of A and B is 5:3. What is the sum of A and B? | <gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">12 * 8</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
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