id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00384263 | 6.6 minus x (3/2) times equals 5.6. | <gadget id="calculator">6.6 - 5.6</gadget>
<output>1</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">1 / (3/2)</gadget>
<output>2/3 = around 0.666667</output>
<result>2/3 = around 0.666667</result> | 2/3 | calc |
ape210k__00469689 | How many degrees of 75° can form a right angle? | <gadget id="calculator">90 - 75</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00352031 | Wang Li puts a piece of cake on the left side of the balance, and (1/4) piece of cake and a weight of 90 grams on the right side. At this time, the balance is just balanced. How much does a whole cake weigh in grams? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">90 / (1/4)</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
ape210k__00569876 | Column calculation: Subtract 30% of (2/5) from 1, divide the difference by (11/50), what is the quotient? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(2/5) * (3/10)</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">1 - (3/25)</gadget>
<output>22/25 = around 0.88</output>
<... | 4 | calc |
ape210k__00767581 | It takes Xiaofang 12 seconds to walk from the first floor to the third floor. At this speed, how many seconds does it take her to go from the third floor to the seventh floor? | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">7 - 3</gadget>
<output>4</output>
<gadget id="calculator">6 * 4</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
aqua_rat__0bgRP2fAiH8URR9A | 36 men can complete a piece of work in 18 days. In how many days will 108 men complete the same work ?
Choose the correct choice
A) 24 B) 77 C) 6 D) 29 E) 21 | Explanation: Less Men, means more Days {Indirect Proportion} Let the number of days be x then, 108 : 36 :: 18 : x x = 6 Answer: 6) 6 days
<result>C</result> | C | calc |
ape210k__00469555 | The average score of Li Hong's Chinese unit test in the first three units of this semester is 92 points, and the average score of the first two units is 93 points. What is the score of the third language test? | <gadget id="calculator">92 * 3</gadget>
<output>276</output>
<gadget id="calculator">93 * 2</gadget>
<output>186</output>
<gadget id="calculator">276 - 186</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__r54xvzEL3O9nU60t | Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 10% so that the total annual income will be equal to 6% of her entire investment?
Pick one:
A) 120
B) 600
C) 1000
D) 360
E) 240 | Let the additional invested amount for 10% interest be x; Equation will be; 2400+0.05*2400+x+0.10x = 2400+x+0.06(2400+x) 0.05*2400+0.10x = 0.06x+0.06*2400 0.04x = 2400(0.06-0.05) x = 2400*0.01/0.04=
<gadget id="calculator">2400*0.01/0.04</gadget>
<output>600</output>
600 Ans:600
<result>B</result> | B | calc |
ape210k__00851767 | There are 30 boys in the dance group, and there are fewer girls than boys (1/5). How many girls are there? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">30 * (4/5)</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00935567 | Uncle Wang has 20 goats, 14 sheep, and 408 rabbits. How many times more rabbits are there than sheep? | <gadget id="calculator">20 + 14</gadget>
<output>34</output>
<gadget id="calculator">408 / 34</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
math_qa__tyaZVO6Q2uEE7wBw | How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 11 inches than that of a rectangular sheet of paper measuring 5.5 inches by 11 inches? Choose the correct choice from the following choices:
A) 50 % B) 87 % C) 100 % D) 187 % E) 200 % | <gadget id="calculator">11 * 11</gadget>
<output>121</output>
<gadget id="calculator">121 * 2</gadget>
<output>242</output>
<gadget id="calculator">5.5 * 11</gadget>
<output>60.5</output>
<gadget id="calculator">60.5 * 2</gadget>
<output>121</output>
<gadget id="calculator">242 - 121</gadget>
<output>121</output>
... | C | calc |
aqua_rat__Qtp9RDyp7cecUmpb | 0.01 is what percent of 0.1? Choices: A) 1% B) 10% C) 100% D) 50% E) 25% | Required percentage = 0.01*100/0.1 = 100/10=
<gadget id="calculator">100/10</gadget>
<output>10</output>
10% Answer is 10%
<result>B</result> | B | calc |
ape210k__01121109 | It is known that the sum of 9 consecutive natural numbers is 315, so what is the largest number among them. | <gadget id="calculator">315 / 9</gadget>
<output>35</output>
<gadget id="calculator">35 + 1 + 1 + 1 + 1</gadget>
<output>39</output>
<result>39</result> | 39 | calc |
aqua_rat__JwrYawp1nZkf5o7a | Josh spends a total of $5.5 buying S items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then S may be which of the following?
Choose the correct choice from the following answers.
A) 99
B) 100
C) 101
D) 112
E) 113 | S items in the convenience store$5.5 = 550 cents 550 = 50a + 5b =>110 = 10a + b b = 110 - 10a = 10(11-a) Hence b is even and multiple of 10. Possible values of b: b = 10,20,30,40,50,60,70,80,90,100 a = 11,9,8,7,6,5,4,3,2,1 The total (a+b) is 21,29,38,47,56,65,74,83,92,101 The only option is 101. He... | C | calc |
ape210k__00348953 | The road repair team repaired a road, 185 meters a day. It has been repaired for 20 days, and another 128 meters will be completed. How long is this road? | <gadget id="calculator">185 * 20</gadget>
<output>3_700</output>
<gadget id="calculator">3_700 + 128</gadget>
<output>3_828</output>
<result>3_828</result> | 3_828 | calc |
ape210k__00285692 | The lateral expansion of a cylinder is a square with side length 8 cm. What is the lateral area of this cylinder in cm**2. | <gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
ape210k__00391316 | The greatest common factor of two numbers A and B is 5, and the least common multiple is 60. Where the number of A is 15, what is the number of B? | <gadget id="calculator">4 * 5</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__yG3x6Th3XteHm4gg | The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed five times, what is the probability that the coin turns up tails on at least one of the tosses? Choose the most appropriate option.
A) 7/8 B) 15/16 C) 31/32 D) 21/32 E) 31/64 | P(5 heads)= 1/2*1/2*1/2*1/2*1/2=1/32. P(at least one tail)=1-1/32=31/32. The answer is 31/32.
<result>C</result> | C | calc |
ape210k__00459584 | Xiaohua took a photo and wanted to make a wooden photo frame for the photo. The length of the photo frame is 25 cm and the width is 20 cm. At least how many centimeters of wooden strips should be prepared? | <gadget id="calculator">25 + 20</gadget>
<output>45</output>
<gadget id="calculator">45 * 2</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__eDeVHpDSC7yeRy8K | Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen
Choose the correct choice from the following
A) 44/221
B) 55/221
C) 76/221
D) 45/221
E) 63/221 | WE HAVE N(S)=52C2=(52*51)/(2*1)=
<gadget id="calculator">(52*51)/(2*1)</gadget>
<output>1_326</output>
1326. LET A=EVENT OF GETTING 55/221OTH 55/221LACK CARDS 55/221=EVENT OF GETTING 55/221OTH QUEENS A55/221=EVENT OF GETTING QUEEN OF 55/221LACK CARDS N(A)=26C2=(26*25)/(2*1)=
<gadget id="calculator">(26*25)/(... | B | calc |
aqua_rat__8P5OAZaXVQlL4d8P | If two numbers are in the ratio 2:3. If 5 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Answers: A) A)10 B) B)18 C) C)20 D) D)24 E) E)26 | 2:3 2x + 5 : 3x + 5 = 3 : 4 4[2x + 5] = 3[3x + 5] 8x + 20 = 9x + 15 9x - 8x = 20 - 15=
<gadget id="calculator">20 - 15</gadget>
<output>5</output>
5 Then smallest number is= 2 2x = 10 Correct Option 10
<result>A</result> | A | calc |
aqua_rat__1sGqyWbPyIDgCvSg | If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number S of integers that can be negative? Choose the correct choice from the following answers.
A) 2 B) 3 C) 4 D) 5 E) 6 | Minimuum should be 1 Maximum should be 4: 1 out of a or b to make the multiplication negative 3 out of c, d, e or f to make the multiplication negative. Negative+Negative<0 Answer:C maximum will be 5.. you dont require both the multiplicatin to be negative for entire equation to be negative... any on... | D | calc |
aqua_rat__mGakVxdUhicX5FmA | Find the area of the quadrilateral of one of its diagonals is 10 cm and its off sets 7 cm and 3 cm? Choose the correct choice from the following answers
A) 50 cm2 B) 100 cm2 C) 150 cm2 D) 200 cm2 E) 250 cm2 | 1/2 * 10(7 + 3) = 50 cm2 50 cm2nswer: 50 cm2
<result>A</result> | A | calc |
ape210k__00398657 | A right-angled trapezoid has an upper base of 2 cm and a waist length of 10 cm. If the upper base is increased by 6 cm, it becomes a square. What is the perimeter of the trapezoid in cm? | <gadget id="calculator">2 + 6</gadget>
<output>8</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">2 + 16 + 10</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
aqua_rat__1I3XjjMFYW6ivEn6 | In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 14 percent of revenues. The profits in 1999 were what percent of the profits in 1998? Answers.
A) 80% B) 105% C) 120% D) 112% E) 138% | 0,112R = x/100*0.1R Answer 112%
<result>D</result> | D | calc |
aqua_rat__orCiKDobdncZcRw8 | In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 6 eggs. If the cost of each pound of rice is $0.24, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.]
Choose the correct choice.
A) 0.20 B) 0.24 C) 20 D) 24 E) 55 | A dozen eggs cost as much as a pound of rice --> 12 eggs = 1 pound of rice = 24 cents; A half-liter of kerosene costs as much as 6 eggs --> 6 eggs = 1/2 liters of kerosene. How many cents does a liter of kerosene cost --> 1 liter of kerosene = 12 eggs = 12/12*24=
<gadget id="calculator">12/12*24</gadget>
... | D | calc |
ape210k__00022661 | A company saved an average of 9 tons of water per day in the second quarter of last year. How many tons of water was saved in the second quarter? | <gadget id="calculator">30 + 31 + 30</gadget>
<output>91</output>
<gadget id="calculator">91 * 9</gadget>
<output>819</output>
<result>819</result> | 819 | calc |
ape210k__00154447 | (2/10) meters are used up for a piece of iron wire, and (8/10) meters are left, what is the original length of this iron wire | <gadget id="calculator">2 / 10</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">8 / 10</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(1/5) + (4/5)</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00461545 | Subtract 8 continuously from 496, and it will be 0 after how many times of subtraction. | <gadget id="calculator">496 / 8</gadget>
<output>62</output>
<result>62</result> | 62 | calc |
ape210k__00220514 | There are 54 cards in a deck of poker, ask: at least how many cards can be drawn from it to ensure that there are cards of four suits. | <gadget id="calculator">13 * 3</gadget>
<output>39</output>
<gadget id="calculator">39 + 2 + 1</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
ape210k__00832821 | There are several small balls of 4 different colors in the cloth bag, and the minimum number of small balls taken out can ensure that there must be 2 small balls of the same color. | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__01121969 | The fruit shop shipped 28 boxes of apples and pears each, each weighing 30 kg for pears and 25 kg for apples. How many kilograms of fruit does the fruit shop ship? (calculated in two ways) | <gadget id="calculator">28 * 30</gadget>
<output>840</output>
<gadget id="calculator">28 * 25</gadget>
<output>700</output>
<gadget id="calculator">840 + 700</gadget>
<output>1_540</output>
<result>1_540</result> | 1_540 | calc |
ape210k__00910759 | For a children's bicycle, the gear ratio of the front and rear gears is 12:7. If the rear gear rotates 24 times, how many times does the front gear rotate? | <gadget id="calculator">7 * 24</gadget>
<output>168</output>
<gadget id="calculator">168 / 12</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__01067071 | If there is a basket of apples distributed among 6 people on average, there are 3 apples left. How many apples are there in this basket? | <gadget id="calculator">5 * 2 * 3</gadget>
<output>30</output>
<gadget id="calculator">30 + 3</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
math_qa__nn3MNd29MSEsMQhG | Income and expenditure of a person are in the ratio 9 : 8. If the income of the person is Rs. 18000, then find his savings? Choose the correct choice:
A) rs . 3600
B) rs . 3603
C) rs . 2000
D) rs . 3632
E) rs . 3602 | <gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">(8/9) * 18_000</gadget>
<output>16_000</output>
<gadget id="calculator">18_000 - 16_000</gadget>
<output>2_000</output>
<result>C</result> | C | calc |
aqua_rat__ALWjr7wktcHDeMLJ | Twelve contestants at the county fair have entered their cakes to be judged in the cake decorating competition. A purple ribbon, blue ribbon, red ribbon, and white ribbon will be given to the first, second, third, and fourth place competitors, respectively. How many different ways are there to award the four ribbons to... | The mistake you are doing is that you are neglecting the 4! ways in you can arrange 4 contestants for the 4 prizes. Number of ways you can select 4 people out of 12 = 12C4 Once you select the 4 people, you have the following arrangement, PBRW (PBRW being the 4 prizes) but the same group of people can also be chosen... | D | calc |
ape210k__00947619 | The material for the jacket is 1.55 meters per piece, and the material for the trousers is 1.05 meters per piece. How much rice cloth is needed to make a jacket and two trousers? | <gadget id="calculator">1.05 * 2</gadget>
<output>2.1</output>
<gadget id="calculator">2.1 + 1.55</gadget>
<output>3.65</output>
<result>3.65</result> | 3.65 | calc |
aqua_rat__cJf6UOtVHqOWRGHY | If m and n are positive integers of T such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ? Answers.
A) 2m/n + 1 B) 2n/m + 1 C) 2n/(m+1) D) 2m/n E) 2n/m | Lets say N=10, M=5 2N=20. so the answer should be 4 (20/5) lets try to plug in the answers: A-not an integer B-not an integer C-not an integer D-1 (not the answer) E-4 - the answer. (the only one). I would choose E. Method 2 N=M*A (A is an integer) So - A=N/M therefore in 2N A will be 2N/M Aga... | E | calc |
ape210k__00628803 | The fruit shop shipped 450 kilograms of papaya, of which Taiwan papaya accounted for (2/9), how many kilograms of Taiwan papaya? | <gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">450 * (2/9)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00708383 | If the radius of a circle is 1 cm, what is the circumference of its semicircle in cm? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 * 3.14 * (1/2)</gadget>
<output>3.14</output>
<gadget id="calculator">2 * 1</gadget>
<output>2</output>
<gadget id="calculator">3.14 + 2</gadget>
<output>5.14</output>
<result>5.14</result> | 5.14 | calc |
ape210k__00256542 | (1/(1*3))+(1/(3*5))+(1/(5*7))+...(1/(47*49)). | <gadget id="calculator">1 / 49</gadget>
<output>1/49 = around 0.020408</output>
<gadget id="calculator">1 - (1/49)</gadget>
<output>48/49 = around 0.979592</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(48/49) * (1/2)</gadget>
<output>24/49 = around 0.48979... | 24/49 | calc |
ape210k__00046559 | An oil barrel is filled with half a barrel of oil, and after pouring out (3/5) of the oil, there is still 8 kilograms of oil left. How many kilograms of oil can this oil barrel hold? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">8 / (2/5)</gadget>
<output>20</output>
<gadget id="calculator">20 * 2</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00838787 | cuboid plastic box containing liquid medicine has a length of 0.6 meters, a width of 0.25 meters, and a depth of 0.5 meters. If the whole box of medicines is packed into small bottles that can hold 400 milliliters, how many bottles should this box contain at least? | <gadget id="calculator">100 / 400</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">0.6 * 100 * 0.25 * 100 * 0.5 * (1/4) * 10</gadget>
<output>1_875</output>
<result>1_875</result> | 1_875 | calc |
ape210k__01031589 | Stack 2,100 cubes with side lengths of 1 cm to form a solid cuboid. Its height is 10 cm, and its length and width are greater than its height. What is the sum of the length and width of this cuboid in cm? | <gadget id="calculator">15 + 14</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
aqua_rat__7f9Pgjdk9qlo5Tf9 | If the product 4864*9 P 2 is divisible by 12, the value of p?
Options
A) 1 B) 5 C) 6 D) 7 E) 9 | Explanation: clearly 4864 is divisible by 4 So 9 P 2 must be divisible by 3.So(9+P+2) must be divisible by 3. so P=1. 1nswer: 1) 1
<result>A</result> | A | calc |
ape210k__00563400 | It is known that ∠1+∠2=150°, ∠1=67°, then ∠2=how much. | <gadget id="calculator">150 - 67</gadget>
<output>83</output>
<result>83</result> | 83 | calc |
ape210k__00850129 | The weight of an astronaut on the earth is 72 kg, which is 6 times his weight on the moon. How many kilograms would he weigh on the moon? | <gadget id="calculator">72 / 6</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00838563 | In a bag of sugar, toffee accounts for 25% of the total number. After putting in 20 pieces of fruit candy, toffee accounts for 20% of the total number. How many pieces of toffee are there? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">80 * (1/4)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00921605 | To process a batch of parts, A alone can complete it in 9 days, and B alone can complete it in 12 days. | <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="calculator">1 / (7/36)</gadget>
<output>36/7 = around 5.142... | 36/7 | calc |
ape210k__01057303 | A batch of coal is shipped from the boiler room of a certain factory. According to the daily consumption of 150 kg of coal in the old boiler, it can be used for 120 days. If a new boiler is used, the coal consumption will be reduced by 20%. How many more days can this batch of coal be burned? | <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">150 * (4/5)</gadget>
<output>120</output>
<gadget id="calculator">120 / 120</gadget>
<output>1</output>
<gadget id="calculator">150 * 1</ga... | 30 | calc |
ape210k__00442282 | Dissolve 1 gram of sugar in 10 grams of water, how much sugar accounts for the sugar water | <gadget id="calculator">1 + 10</gadget>
<output>11</output>
<gadget id="calculator">1 / 11</gadget>
<output>1/11 = around 0.090909</output>
<result>1/11 = around 0.090909</result> | 1/11 | calc |
ape210k__00030668 | In the final exam, Dalang's average score in the four subjects was 90 before the English score was announced. After the English score was announced, his average score increased by 2 points. How many points did Dawa score in the English test? | <gadget id="calculator">90 + 2</gadget>
<output>92</output>
<gadget id="calculator">92 * 5</gadget>
<output>460</output>
<gadget id="calculator">90 * 4</gadget>
<output>360</output>
<gadget id="calculator">460 - 360</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00295527 | A project has been completed (2/3) by 8 workers in 24 days, and it needs to be completed in 28 days. (Continue to work) How many more people are needed? | <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>
<gadget id="calculator">(2/3) / 8 / 24</gadget>
<output>1/288 = around 0.003472</output>
<gadget id="calculator">28 - 24</gadget>
<output>4</output>
<gadget... | 16 | calc |
aqua_rat__tasT86j2f4Cpn4kL | 750 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ? Choose the correct choice:
A) a) 162
B) b) 15
C) c) 60
D) d) 38
E) e) 12 | Passed in english = 65% Passed in maths = 55% Passed in both = 40% of 55% = 2/5 * (55%) = 22% Passed in (English + Maths - b) 15oth + Neither) 2/5 * (55 )=
<gadget id="calculator">2/5 * (55 )</gadget>
<output>22</output>
22% Passed in (English + Maths - b) 15oth + Neither)= 100% 65 + 55 - 22 + Neither = 100 ... | B | calc |
aqua_rat__OeZ7ZLBAPlOfp6Wg | A batsman scored 130 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets? Choose the correct choice from the following answers.
A) 45(4/11) % B) 45 % C) 53(11/13) % D) 44(5/11) % E) None of these | Explanation : Total runs scored = 130 Total runs scored from boundaries and sixes = 3 x 4 + 8 x 6 = 60 Total runs scored by running between the wickets = 130 - 60=
<gadget id="calculator">130 - 60</gadget>
<output>70</output>
70 Required %= (70/130) × 100 = 700/13 = 53(11/13)% Answer : Option 53(11/13) %
<re... | C | calc |
ape210k__00084943 | (19/20) minus (13/20), and how much to subtract, the difference is (1/5). | <gadget id="calculator">19 / 20</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">13 / 20</gadget>
<output>13/20 = around 0.65</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(19/20) - (13/20) - (1/5)</gadget>
<output>1/10 = around 0.1</ou... | 1/10 | calc |
ape210k__00010503 | Add 8 trees equidistantly between the two trees, so that the distance between the first tree and the fifth tree is 20 meters, how many meters are the distance between the original two trees? | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">5 * 9</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00468021 | A 2-meter-long iron wire uses up 4 decimeters, and the rest forms a square. What is the side length of the enclosed square? | <gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">20 - 4</gadget>
<output>16</output>
<gadget id="calculator">16 / 4</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00041697 | There is a rectangular vegetable field with a length of 35 meters and a width of 14 meters. What is the area of this vegetable field in square meters? | <gadget id="calculator">35 * 14</gadget>
<output>490</output>
<result>490</result> | 490 | calc |
aqua_rat__sr81Rp7oIv2lWfLl | Rectangular tile each of size 80cm by 40cm must be laid horizontally on a rectangular floor of size 130cm by 230cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. N... | Area of tile = 80*40=
<gadget id="calculator">80*40</gadget>
<output>3_200</output>
3200 Area of floor= 130*230=
<gadget id="calculator">130*230</gadget>
<output>29_900</output>
29900 No of tiles= 29900/3200 = 9.34 So, the no of tile = 9 ANSWER:9
<result>D</result> | D | calc |
ape210k__00607118 | Xiaoxiao scored 92 in Chinese, 98 in mathematics, and 95 in English in the final test. What is her average score in the three subjects? | <gadget id="calculator">92 + 98 + 95</gadget>
<output>285</output>
<gadget id="calculator">285 / 3</gadget>
<output>95</output>
<result>95</result> | 95 | calc |
ape210k__00940095 | The fruit store shipped 425 kilograms of apples, and the pears shipped were 80 kilograms less than four times the apples. How many kilograms of pears did the fruit store ship? | <gadget id="calculator">425 * 4</gadget>
<output>1_700</output>
<gadget id="calculator">1_700 - 80</gadget>
<output>1_620</output>
<result>1_620</result> | 1_620 | calc |
ape210k__00428406 | If a cuboid has a base area of 80 cm2 and a height of 7 cm, what is its volume in cubic cm? | <gadget id="calculator">80 * 7</gadget>
<output>560</output>
<result>560</result> | 560 | calc |
math_qa__Oc10lU6MVDif6R2Q | Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 8 days. In how many days Peter complete the work separately.
Choices:
A) 21
B) 24
C) 20
D) 25
E) 30 | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">12 * (1/20)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">8 / (2/5)</gadget>
<output>20</output>
<result>C</result> | C | calc |
ape210k__00574181 | If a+5=27, then a=how much. | <gadget id="calculator">27 - 5</gadget>
<output>22</output>
<result>22</result> | 22 | calc |
ape210k__00199300 | Xiao Ming reads a story book, reads 25% and 10 pages of the whole book on the first day, and reads the rest (2/5) on the second day. At this time, the ratio of the number of pages that have been read to the number of pages that have not been read is 4: 3. How many pages does this book have? | <gadget id="calculator">3 / 140</gadget>
<output>3/140 = around 0.021429</output>
<gadget id="calculator">6 / (3/140)</gadget>
<output>280</output>
<result>280</result> | 280 | calc |
ape210k__00412830 | To fill in a number so that 12□0 is a common multiple of 2, 3, 5, how many filling methods are there at most? | <result>4</result> | 4 | calc |
ape210k__00208484 | If the length and width of a cuboid are tripled and the height remains the same, how many times its original volume will be increased. | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00783269 | In the final exam, Xiaocheng scored 100 points in mathematics and 95 points in Chinese. The average score of the three subjects of Chinese, mathematics, and English is only 92 points. How much did he score in the English test? | <gadget id="calculator">92 * 3</gadget>
<output>276</output>
<gadget id="calculator">100 + 95</gadget>
<output>195</output>
<gadget id="calculator">276 - 195</gadget>
<output>81</output>
<result>81</result> | 81 | calc |
aqua_rat__uh0TbJJu4W44lEfq | The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 6 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window sea... | priyalr 6 seats per row, think of a boeing 737. We have 30 rows, therefore window 30 seats one one side and 30 window seats on the other, totaling 60 window seats on the whole plane. the view of the window of 6 rows is blocked. two wings, therefore 12 window seats are blocked. Total window seats = 60 Total bloc... | E | calc |
ape210k__00400506 | During the party, the teacher bought 18 prizes for 2.4 yuan and 25 prizes for 1.8 yuan. How much did the teacher spend in total? | <gadget id="calculator">2.4 * 18</gadget>
<output>43.2</output>
<gadget id="calculator">1.8 * 25</gadget>
<output>45</output>
<gadget id="calculator">43.2 + 45</gadget>
<output>88.2</output>
<result>88.2</result> | 88.2 | calc |
ape210k__00152256 | How many simple fractions are there with a denominator of 8? | <result>4</result> | 4 | calc |
ape210k__00485155 | Students in class 61 arrange a classroom with a width of 6 meters, and hang a balloon every (1/3) meter. How many balloons should be prepared? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">6 / (1/3)</gadget>
<output>18</output>
<gadget id="calculator">18 - 1</gadget>
<output>17</output>
<result>17</result> | 17 | calc |
ape210k__00270919 | The school bought 252 meters of rope, and every 9 meters can make 5 skipping ropes. According to this calculation, how many skipping ropes can be made in total? (Solve with ratio) | <gadget id="calculator">9 / 5</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">252 / (9/5)</gadget>
<output>140</output>
<result>140</result> | 140 | calc |
aqua_rat__FBv2DKDDUMkrnxiZ | If you roll a fair-sided die twice, what is the probability of getting a double (5,5)? Choose one: A) 1/24 B) 1/36 C) 1/12 D) 1/18 E) 1/3! | total no. in two dice (1,1) ,(2,2) .....(6,) Total number of events= 6*6 Total events of getting same pair(5,5) = 6 Probability= 6/6*6= 1/6=1/3! 1/3!
<result>E</result> | E | calc |
ape210k__00834275 | The school will build a circular flower bed with a circumference of 25.12 meters, and pave a circular path with a width of 1 meter around it. Please calculate how much land this path occupies? | <gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">25.12 / 6.28</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget ... | 28.26 | calc |
ape210k__00068411 | 500 kg of rapeseed can extract 210 kg of oil, what is the oil yield of rapeseed? | <gadget id="calculator">210 / 500</gadget>
<output>21/50 = around 0.42</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(21/50) * 1</gadget>
<output>21/50 = around 0.42</output>
<result>21/50 = around 0.42</result> | 21/50 | calc |
ape210k__00057680 | If (2/5)x=0.5y, (x, y are not 0), then x:y=how much | <gadget id="calculator">0.5 * 10</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 10</gadget>
<output>4</output>
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<result>5/4 = around 1.25</result> | 5/4 | calc |
ape210k__00533605 | The school bought 6 boxes of school aids, 36 boxes in each box. Divide these learning aids to 4 classes on average, how many boxes of learning aids are allocated to each class? | <gadget id="calculator">6 / 4</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">36 * (3/2)</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
ape210k__00250543 | If one angle of a right triangle is 26 degrees, what is the other angle? | <gadget id="calculator">90 - 26</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
ape210k__00309123 | 50 white socks, 70 red socks, 60 green socks, and 70 blue socks, all of the same size, how many socks must be found in the dark to ensure that at least 10 pairs of socks can be found (two socks of the same color are called a pair). | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">2 * 9</gadget>
<output>18</output>
<gadget id="calculator">4 + 1 + 18</gadget>
<output>23</output>
<result>23</result> | 23 | calc |
ape210k__00512279 | How many square floral handkerchiefs can be cut out as large as possible from a piece of floral cloth with a length of 48 cm and a width of 32 cm without wasting leftover materials? | <gadget id="calculator">48 / 16</gadget>
<output>3</output>
<gadget id="calculator">32 / 16</gadget>
<output>2</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00475766 | If 24-3x=9, then 4x+5.6=how much. | <gadget id="calculator">24 - 9</gadget>
<output>15</output>
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">20 + 5.6</gadget>
<output>25.6</output>
<result>25.6</result> | 25.6 | calc |
ape210k__00679455 | Li Ming collected 42 stamps, and Wang Hong collected more stamps than Li Ming (2/7). How many stamps did Li Ming collect less than Wang Hong? | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">42 * (2/7)</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__01141213 | A bundle of wires is used for the first time (1/5), and the second time is 15 meters longer than the first time, leaving exactly half. How long is this bundle of wires in meters? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/2) - (1/5) - (1/5)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">15 / (1/10)</gadget>
<output>150</output>
<result>15... | 150 | calc |
ape210k__00036773 | Among the 100 natural numbers from 1 to 100, how many numbers are neither divisible by 2 nor divisible by 3? | <gadget id="calculator">100 / 2</gadget>
<output>50</output>
<gadget id="calculator">100 - 50 - 33</gadget>
<output>17</output>
<gadget id="calculator">17 + 16</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
aqua_rat__Gnz6IrcYsTiZCsfg | In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (2,-2), (2, 6), (14, 2), (14,-5)? Choose the correct choice from the following options
A) 90 B) 95 C) 104 D) 117 E) 182 | By graphing the points, we can see that this figure is a trapezoid. A trapezoid is any quadrilateral that has one set of parallel sides, and the formula for the area of a trapezoid is: Area = (1/2) × (Base 1 + Base 2) × (Height), where the bases are the parallel sides. We can now determine the area of the quadrilat... | A | calc |
aqua_rat__qnTSM8vc2OTjkKzJ | Tensile strength of a material A is a multiple of amount of materials a, b, c, d used. If the amount of material of a, b, c, d are changed by +30%, -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A?
Choose the correct option:
A) No Change B) +14.68% C) –14.68% D) Depends on the ini... | DETAILED SOLUTION Since, tensile strength of A = a x b x c x d, If we assume initial tensile strength to be 100, we can apply successive % changes to arrive at the final figure 100 -30% ---> 70 (Any of the change can be carried out first, the result would be same) 70 + 30% ---> 91 91 + 25% ---> 113.75 ... | C | calc |
aqua_rat__ISMHIwLZPFoJFyl8 | A clock shows the time as 12 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.? Choices:
A) 45 minutes
B) 55 minutes
C) 35 minutes
D) 30 minutes
E) 40 minutes | there are 6 hours in between 12 a.m. to 6 p.m. 6*5=
<gadget id="calculator">6*5</gadget>
<output>30</output>
30 minutes. ANSWER:30 minutes
<result>D</result> | D | calc |
ape210k__01202351 | A storybook shipped from the bookstore sells 30% on the first day and 50% on the second day, which is 60 more copies than the first day. How many books of this kind did the bookstore ship in total? | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(1/2) - (3/10)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">60 / (1/5)</gadget>
<output>300</output>
<result>300</res... | 300 | calc |
ape210k__01128235 | The diameter of a circular aquaculture farm is 50 meters. After the expansion, the radius increased by 5 meters. How many square meters did the area of the aquaculture farm increase after the expansion? | <gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">30 ** 2</gadget>
<output>900</output>
<gadget id="calculator">25 ** 2</gadget>
<output>625</output>
<gadget id="calculator">900 - 625</gadget>
<output>275</output>
<gadget... | 863.5 | calc |
aqua_rat__eokJJIr7KB8QcNkt | The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
Pick one.
A) 21 years
B) 71 years
C) 51 years
D) 91 years
E) 11 years | Explanation: Age of the teacher = (37 * 15 - 36 * 14)=
<gadget id="calculator">(37 * 15 - 36 * 14)</gadget>
<output>51</output>
51 years. Answer: 51 years
<result>C</result> | C | calc |
math_qa__kEBErbVFc8Bmic0C | How many bricks, each measuring 25 cm x 11 cm x 6 cm, will be needed to build a wall of 8 m x 1 m x 5 cm? Choose the correct choice from the following choices:
A) 5600
B) 6000
C) 242
D) 7200
E) 8600 | <gadget id="calculator">8 * 100</gadget>
<output>800</output>
<gadget id="calculator">1 * 100</gadget>
<output>100</output>
<gadget id="calculator">800 * 100</gadget>
<output>80_000</output>
<gadget id="calculator">80_000 * 5</gadget>
<output>400_000</output>
<gadget id="calculator">25 * 11</gadget>
<output>275</ou... | C | calc |
ape210k__00573310 | A parallelogram steel plate has a base of 12.5 meters and a height of 4.8 meters. The steel plate weighs 16.5 kilograms per square meter. How many kilograms does this steel plate weigh? | <gadget id="calculator">12.5 * 4.8</gadget>
<output>60</output>
<gadget id="calculator">16.5 * 60</gadget>
<output>990</output>
<result>990</result> | 990 | calc |
aqua_rat__hpqHR4lbbhfEvCFi | A box contains 13 apples, 12 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n? Choose the correct choice from the following
A) 3
... | P(choosing a red apple 7 times in a row) = 12/13*11/12*10/11*9/10*8/9*7/8*6/7 = 6/13 < 0.5 The answer is 7.
<result>E</result> | E | calc |
math_qa__pTYNmL7j15oOUCj4 | If a train, travelling at a speed of 270 kmph, crosses a pole in 5 sec, then the length of train is? Answers: A) 281 m B) 325 m C) 117 m D) 375 m E) 350 m | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">270 * (5/18)</gadget>
<output>75</output>
<gadget id="calculator">75 * 5</gadget>
<output>375</output>
<result>D</result> | D | calc |
ape210k__00276838 | Mom deposits 6,000 yuan in the bank for one year on a fixed-term basis, with an annual interest rate of 2.25%. After one year, how much is the mother's total withdrawal from the bank? | <gadget id="calculator">2.25 / 100</gadget>
<output>0.0225</output>
<gadget id="calculator">6_000 * 0.0225 * 1</gadget>
<output>135</output>
<gadget id="calculator">6_000 + 135</gadget>
<output>6_135</output>
<result>6_135</result> | 6_135 | calc |
ape210k__01211869 | It takes 9 minutes to divide a uniform piece of wood into 3 sections, how many minutes will it take to divide it into 8 sections? | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">(9/2) * 7</gadget>
<output>63/2 = around 31.5</output>
<result>63/2 = around 31.5</result> | 63/2 | calc |
math_qa__s2Jks9sarzejpHrT | √(36)^2
Answers:
A) 6 B) 14 C) 36 D) 21 E) none of these | <gadget id="calculator">36 ** 2</gadget>
<output>1_296</output>
<gadget id="calculator">1_296 ** (1/2)</gadget>
<output>36</output>
<result>C</result> | C | calc |
ape210k__00457026 | There is a highway to be repaired, and it takes 20 days for engineering team A to complete the repair alone, and 30 days for engineering team B alone. After 3 days of joint repair, engineering team B will be transferred away for other tasks, and engineering team A will complete the remaining tasks alone. How many more ... | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/20) + (1/30)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/12) * 3</gadget>
<output>1/4 = around 0.25</o... | 15 | calc |
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