id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__UG704ikdhjdoxfEk | What is the sum of the digits of integer k, if k = (10^45- 46) Select.
A) 356 B) 366 C) 363 D) 396 E) 408 | There are 46 digits in 10^45 When we subtract 46 from it, there will be 45 digits left. 10^45 can be written as 9999999....(45 times) + 1 So, 10^45 - 46 = 9999999....(45 times) + 1 - 46 = 9999999....(45 times) -45 Consider the last 2 digits, 99-45=
<gadget id="calculator">99-45</gadget>
<output>54</output>... | D | calc |
ape210k__01068627 | A piece of work can be completed in (1/3) hours alone, and B can be completed in (1/4) hours alone, how many hours can A and B work together to complete. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / (1/3)</gadget>
<output>3</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / (1/4)</gadget>
<output>4</output>
<gadget id="calculator">3 + 4</gadget>
<... | 1/7 | calc |
gsm8k__PmIe4mkZUkw1pv6b | Four small boxes can fit in one big box. If 50 big boxes can fit four small boxes each, each having 40 candles, calculate the total number of candles in all small boxes. | If 50 big boxes are fit 4 small boxes each, the number of small boxes is 4*50 =
<gadget id="calculator">50*4</gadget>
<output>200</output>
200.
Since the small boxes have 40 candles each, there are 40*200 =
<gadget id="calculator">40*200</gadget>
<output>8_000</output>
8000 candles in total.
<result>8_000</result> | 8_000 | calc |
aqua_rat__7omJ18h6RxBfOszY | Two equal glasses are respectively
1 3
and
1 4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. Find the ratio of milk and water in the tumbler Choose the correct answer: A) 22 B) 88 C) 27 D) 19 E) 11 | 22nswer:22
<result>A</result> | A | calc |
aqua_rat__5NZGaGO5TTvv73Lz | Two planes take off from neighboring runways at the same time. The British Airways Jet heads directly East at 300 Km/Hr, while the American Airlines Jet takes off heading directly west at 250km/hr. At this speed, how long before the two planes are 2,000 Km away from each other? Choose the correct choice:
A) 4 hours B)... | For every hour the planes travel in opposite directions, they are 550 Km away from each other. So to be 2,000 Km away, it would take (2,000 Km/550 Km/Hour= 3.63 Hours). Answer is 3.63 Hours
<result>E</result> | E | calc |
ape210k__00011119 | Write the fraction (7/9) as a formula for dividing two numbers: (7/9)=how much. | <gadget id="calculator">7 / 9</gadget>
<output>7/9 = around 0.777778</output>
<result>7/9 = around 0.777778</result> | 7/9 | calc |
aqua_rat__ndHg2M09umun6NOh | The quantities S and T are positive and are related by the equation S=K/T, where k is a constant. If the value of S increases by 40 percent, then the value of T decreases by what percent? Choose the correct choice from the following answers
A) 25% B) 33 ¹/₃% C) 50% D) 66 ²/₃% E) 75% | We can assign numbers: lets say S = 2, K = 6 (constant) and T = 3 (so that S=K/T) Now increasing S by 40% gives S=3, K remains constant, so T = 2 (6/2=3) decrease in T= 1, percent decrease in T = (1/3)*100 = 33.33% Answer 33 ¹/₃%
<result>B</result> | B | calc |
ape210k__00071734 | On the campus of Rongxin Primary School, there is a square experimental field with a side length of 9 meters. The average harvest of potatoes per square meter is 1.5 kilograms. How many kilograms of potatoes are harvested in this experimental field? | <gadget id="calculator">9 * 9</gadget>
<output>81</output>
<gadget id="calculator">1.5 * 81</gadget>
<output>121.5</output>
<result>121.5</result> | 121.5 | calc |
ape210k__00923249 | There is a parallelogram field with a base length of 25 meters and a height of 10 meters. If 1.85 kilograms of peanuts are harvested per square meter, how many kilograms of peanuts can be harvested in this field? | <gadget id="calculator">25 * 10</gadget>
<output>250</output>
<gadget id="calculator">250 * 1.85</gadget>
<output>462.5</output>
<result>462.5</result> | 462.5 | calc |
aqua_rat__dUaGiojtBga0glPk | A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is equal to 2n. What is the sum of the reciprocals of all the positive factors of the perfect number 28? Choose the correct choice from the following.
A) 1/4 B) 56/27 C) 2 D) 3 E) 4 | Soln: 28 = 1*28 2*14 4*7 sum of reciprocals = 1+1/28+1/2+1/14+1/4+1/7=56/28=
<gadget id="calculator">56/28</gadget>
<output>2</output>
2 ANSWER:2
<result>C</result> | C | calc |
aqua_rat__aPbS2FDB8RVkEBTl | There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? Choose the correct choice from the following answers
A) Rs. 618
B) Rs... | Explanation: Let the average expenditure per head be Rs. p Now, the expenditure of the mess for old students is Rs. 44p After joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3 Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33 T... | D | calc |
aqua_rat__bYsVD8CNyvfaqg1p | A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train? Choose the correct choice.
A) 118 B) 150 C) 277 D) 250 E) 191 | Speed = 60 * 5/18 = 50/3 m/sec Length of the train = speed * time = 50/3 * 15=
<gadget id="calculator">50/3 * 15</gadget>
<output>250</output>
250 m Answer: 250
<result>D</result> | D | calc |
ape210k__00305969 | 999+998+997 ten 996+1000+1004+1003+1002+1001. | <gadget id="calculator">999 + 998 + 997 + 996 + 1_000 + 1_004 + 1_003 + 1_002 + 1_001</gadget>
<output>9_000</output>
<result>9_000</result> | 9_000 | calc |
aqua_rat__eqOUjGCvWpfxRI3M | The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 30 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam. Select the correct option:
A) 22 B) 27 C) 25 D) 99 E) 30 | Let the number of students who wrote the exam be x. Total marks of students = 80 x. Total marks of (x - 5) students = 90(x - 5) 80x - (5 * 30) = 90(x - 5) 300 = 10x => x = 30.Answer: 30
<result>E</result> | E | calc |
ape210k__00086709 | Today there are 42 Chinese textbooks, 112 mathematics textbooks, and 70 natural textbooks, which are divided into several piles on average. The number of these three kinds of textbooks in each pile is equal, so how many piles can be divided at most? | <gadget id="calculator">2 * 7</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00174700 | Divide 156 pencils into n piles (n≥2), requiring that each pile has the same number and an even number of pencils. How many ways are there to divide them? | <result>7</result> | 7 | calc |
ape210k__00399536 | Draw the largest circle in the square. The circumference of the circle is 12.56 cm. What is the area of the square? | <gadget id="calculator">12.56 / 3.14</gadget>
<output>4</output>
<gadget id="calculator">4 * 4</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__Lv7UGL5k5r0Ked9D | How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9} Choose the correct choice from the following choices:
A) 65
B) 77
C) 32
D) 32
E) 60 | The given digits are 1, 2, 3, 5, 7, 9 A number is even when its units digit is even. Of the given digits, two is the only even digit. Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways. Number of even numbers = 5P3 = 60. Answer:60
<result>E</result> | E | calc |
aqua_rat__ezjdfG1wB1k451Dy | The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the number is 45, find the other? Choices
A) 100 B) 160 C) 120 D) 200 E) 150 | Other number = 12*600/45=
<gadget id="calculator">12*600/45</gadget>
<output>160</output>
160 Answer is 160
<result>B</result> | B | calc |
aqua_rat__1hB6uiLeeOY4Uk8n | The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Options:
A) 30
B) 31
C) 32
D) 34
E) 35 | Area of a triangle = r * s Where r is the inradius and s is the semi perimeter of the triangle. Area of triangle = 2.5 * 28/2=
<gadget id="calculator">2.5 * 28/2</gadget>
<output>35</output>
35 cm2 Answer: Option 35
<result>E</result> | E | calc |
ape210k__00882979 | Mom pays 52 yuan for electricity and 86 yuan for water. How much more is she going to pay for water than for electricity? | <gadget id="calculator">86 - 52</gadget>
<output>34</output>
<result>34</result> | 34 | calc |
ape210k__00430623 | 3.4*0.5 This formula means: how much. | <result>3.4</result> | 3.4 | calc |
ape210k__00293641 | Two identical rectangular sheets of paper, 16 cm long and 4 cm wide. One is rolled horizontally into a cylinder, and the other is rolled vertically into a cylinder. Are the lateral areas of the two cylinders the same size? Why, please figure it out. | <gadget id="calculator">16 * 4</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
ape210k__00413027 | Mr. Li rides 23.6 kilometers per hour. At this speed, how many kilometers can Mr. Li ride for 1.5 hours? | <gadget id="calculator">23.6 * 1.5</gadget>
<output>35.4</output>
<result>35.4</result> | 35.4 | calc |
aqua_rat__mgCiuOSCO3fxRItu | A grocer has a sale of Rs. 8435, Rs. 8927, Rs. 8855, Rs. 9230 and Rs. 8562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 8500? Choose the correct choice from the following answers:
A) s. 1991 B) s. 2991 C) s. 3991 D) s. 4991 E) s. 6991 | Explanation: Total sale for 5 months = Rs. (8435 + 8927 + 8855 + 9230 + 8562) = Rs. 44009. Required sale = Rs. [ (8500 x 6) – 44009 ] = Rs. (51000 – 44009) = Rs. 6991. Answer s. 6991
<result>E</result> | E | calc |
aqua_rat__tMBiKdHKM6vhhdxZ | An article is bought for Rs.675 and sold for Rs.945, find the gain percent? Select: A) 40% B) 33 8/3% C) 33 1/3% D) 33 2/3% E) 33 1/2% | 675 ---- 270 100 ---- ? => 40% 40%nswer: 40%
<result>A</result> | A | calc |
ape210k__00342274 | The water content of 10,000 kilograms of grapes measured in Xinjiang was 99%, and after they arrived in Taiyuan, the water content was 98%. How many kilograms of grapes are left after they arrive in Taiyuan? (losses on the way are not included) | <gadget id="calculator">99 / 100</gadget>
<output>99/100 = around 0.99</output>
<gadget id="calculator">1 - (99/100)</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">10_000 * (1/100)</gadget>
<output>100</output>
<gadget id="calculator">98 / 100</gadget>
<output>49/50 = around 0.98</output>
<ga... | 5_000 | calc |
ape210k__00062863 | Qianjin Township plans to dig a 300-meter-long canal, and it has already been dug (4/5). How many meters are left to be dug? | <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">300 * (1/5)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__POsKI1ZmwPvLAeWr | The price of a T.V. set worth Rs. 12000 is to be paid in 20 installments of Rs. 1200 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be? Choose the correct choice from the following option... | Money paid in cash = Rs. 1200 Balance payment = (12000 - 1200) = Rs. 10800 .Answer:10800
<result>B</result> | B | calc |
ape210k__01013783 | 48 students from Class 4 of the third grade organized a trip to the People's Park. Each ticket was 6 yuan. The ticket office said: Every 10 tickets you buy can give you 1 ticket. How much does it cost to buy tickets? | <gadget id="calculator">40 * 6</gadget>
<output>240</output>
<gadget id="calculator">4 * 6</gadget>
<output>24</output>
<gadget id="calculator">240 + 24</gadget>
<output>264</output>
<result>264</result> | 264 | calc |
ape210k__00467990 | There are two rectangles. The length of the first rectangle is 4 cm and the width is 2 cm. The length of the second rectangle is 5 cm and the width is 2 cm. Now put these two rectangles together to form a slightly larger rectangle. What is the perimeter of the rectangle in centimeters? | <gadget id="calculator">4 + 5 + 2</gadget>
<output>11</output>
<gadget id="calculator">11 * 2</gadget>
<output>22</output>
<result>22</result> | 22 | calc |
ape210k__00780473 | There are 450 rabbits and sheep in the farm, and there are more rabbits than sheep (1/4). How many rabbits are there in the farm? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + 1 + (1/4)</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">450 / (9/4)</gadget>
<output>200</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calc... | 250 | calc |
ape210k__00358664 | Xinhua Bookstore shipped 360 storybooks, 20% more than in the morning. How many storybooks did the bookstore ship in the morning? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">360 / (6/5)</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
aqua_rat__udhqAhUFc781OCfk | A candidate got 35% of the votes polled and he lost to his rival by 2340 votes. How many votes were cast? Choose the correct option
A) 7500 B) 3388 C) 2665 D) 7800 E) 2661 | 35%-----------L 65%-----------W ------------------ 30%----------2340 100%---------? => 7800 Answer: 7800
<result>D</result> | D | calc |
ape210k__00516911 | Teacher Li brought 206 yuan to buy ink cartridges and pens, 16 bottles of ink, and 18 pens. Ink 5 yuan per bottle. How much is each pen? | <gadget id="calculator">16 * 5</gadget>
<output>80</output>
<gadget id="calculator">206 - 80</gadget>
<output>126</output>
<gadget id="calculator">126 / 18</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00321011 | The transportation company transported 200 pieces of glass, and the shipping fee was 0.6 yuan for each piece of glass. If a piece of glass was broken, in addition to the shipping fee, a compensation of 4 yuan was required. As a result, the shipping cost was 106.2 yuan. How many pieces of glass were broken? | <gadget id="calculator">200 * 0.6</gadget>
<output>120</output>
<gadget id="calculator">120 - 106.2</gadget>
<output>13.8</output>
<gadget id="calculator">4 + 0.6</gadget>
<output>4.6</output>
<gadget id="calculator">13.8 / 4.6</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__OrfreunV8tArVvXR | Vindy paddles her kayak upstream at w kilometers per hour, and then returns downstream the same distance at n kilometers per hour. How many kilometers upstream did she travel if she spent a total of p hours for the round trip? Choose the correct choice:
A) wnp B) wn/p C) (w + n)/p D) wnp/(w + n) E) pm/n- pn/m | let t1 and t2 be the time taken to row upstream and downstream respectively now, t1=distance/speed=d/w similarly, t2=d/n (as same distance has to be rowed) also, t1+t2=p therefore, p=(d/w)+(d/n) =d(w+n)/wn d=wmn/(w+n)=wnp/(w + n)
<result>D</result> | D | calc |
ape210k__00909439 | How many different decimals can be formed by using the number cards 6, 6, 2, 3 and the decimal point "." | <gadget id="calculator">4 * 3 * 1 * 1 * 3</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00156456 | Student A scored 92 points (out of 100 points) on average in the five math tests, so how many points should his score in each test be? | <gadget id="calculator">92 * 5</gadget>
<output>460</output>
<gadget id="calculator">100 * 4</gadget>
<output>400</output>
<gadget id="calculator">460 - 400</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00157817 | A batch of saplings were planted, 40 survived and 10 died. What is the survival rate of this batch of saplings? | <gadget id="calculator">40 + 10</gadget>
<output>50</output>
<gadget id="calculator">40 / 50</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(4/5) * 1</gadget>
<output>4/5 = around 0.8</output>
<result>4/5 = around 0.8</result> | 4/5 | calc |
aqua_rat__O6c4hpiqKAkKo9gV | Average between two sets of numbers is closer to the set withmore no's?
Options.
A) 80 B) 90 C) 110 D) 120 E) 130 | If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for the group is not 85% but rather 3×90+2×805=4305=86.3×90+2×805=4305=86. Here, 90 has a weight of 3 => it occurs 3 times. Whereas 80 has a weight of 2 => it occurs 2 times. So the aver... | B | calc |
aqua_rat__RmvjYkjFnhtLuExK | A shop owner sells 40mtr of cloth and gains SP of 10 mtrs. Find the gain %?
Pick:
A) 33.33% B) 40% C) 50% D) 66.67% E) 70% | Here, selling price of 10 m cloth is obtained as profit. Profit of 10 m cloth = (S.P. of 40 m cloth) – (C.P. of 40 m cloth) Selling price of 30 m cloth = Selling Price of 40 m of cloth Let cost of each metre be Rs. 100. Therefore, cost price of 30 m cloth = Rs. 3000 and S.P. of 30 m cloth = Rs. Rs. 4000 Profi... | A | calc |
ape210k__00030588 | Cut a rectangular piece of paper with a length of 12cm and a width of 8cm and cut out a largest square. What is the area of the remaining part in cm**2. | <gadget id="calculator">12 - 8</gadget>
<output>4</output>
<gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
aqua_rat__3Eory0R8Oqr2Tdjv | In a class of 30 students, 5 students did not borrow any books from the library, 10 students each borrowed 1 book, 8 students each borrowed 2 books, and the rest of the students each borrowed at least 4 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of boo... | The average number of books per student was 2means that total of 2*30=
<gadget id="calculator"> 2*30</gadget>
<output>60</output>
60 books were borrowed; 5+12+8=
<gadget id="calculator">5+12+8</gadget>
<output>25</output>
25 students borrowed total of 5*0+12*1+8*2=
<gadget id="calculator"> 5*0+12*1+8*2</gadget... | C | calc |
math_qa__nxvhTs6dFUrs3nAf | The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 12 km/hr respectively. They will meet for the first time in?
Select
A) 32 min B) 40 min C) 35 min D) 25 min E) 20 min | <gadget id="calculator">20 + 12</gadget>
<output>32</output>
<result>A</result> | A | calc |
aqua_rat__aDXN6UNoHjgWpzT7 | David bought 4 toys with the average cost of $8. If David also buys the fifth toy with the price of $ 10, what is the average (arithmetic mean) price of those 5 toys? Choose one:
A) $5 B) $6 C) $8.4 D) $10 E) $11 | 4 toys -> Total cost = 4 * Avg cost = 4*8=
<gadget id="calculator">4*8</gadget>
<output>32</output>
32 Fifth toy cost= 10 Total cost for 5 toys= 32+10=
<gadget id="calculator">32+10</gadget>
<output>42</output>
42 AM= 42/5=
<gadget id="calculator">42/5</gadget>
<output>42/5 = around 8.4</output>
8.4 Hence... | C | calc |
ape210k__00353780 | If the length, width, and height of a cuboid are tripled, how many times will its surface area be enlarged? | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00309321 | Apples weigh 308 kilograms, and pears are 4 times that of apples. How many kilograms are there in total for pears and apples? | <gadget id="calculator">308 * 4</gadget>
<output>1_232</output>
<gadget id="calculator">1_232 + 308</gadget>
<output>1_540</output>
<result>1_540</result> | 1_540 | calc |
ape210k__00428935 | There are 4 steel pipes in the top layer, 16 steel pipes in the bottom layer, and 7 layers. How many steel pipes are there in total? | <gadget id="calculator">4 + 16</gadget>
<output>20</output>
<gadget id="calculator">7 / 2</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">20 * (7/2)</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
aqua_rat__wgONXdoz5Qnksh5L | If x+|x|+y=5 and x+|y|-y=6 what is x+y=? Choose the correct option:
A) 1
B) -1
C) 3
D) 12
E) 13 | If x<0 and y<0, then we'll have x-x+y=7 and x-y-y=6. From the first equation y=7, so we can discard this case since y is not less than 0. If x>=0 and y<0, then we'll have x+x+y=7 and x-y-y=6. Solving gives x=4>0 and y=-1<0 --> x+y=3. Since in PS questions only one answer choice can be correct, th... | D | calc |
ape210k__00149797 | Xiaoying and Xiaoming read the same story book. When Xiaoying finished reading (1/4) of the book, Xiaoming still had 240 pages left; when Xiaoying finished reading the rest (4/5), Xiaoming still had (8/25) the whole book I haven't finished reading it, smart you, do you know how many pages this book has? Do the math! | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) / 5</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 4</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget ... | 300 | calc |
ape210k__00586119 | It is known that B's weight is 30kg, and A is 25% heavier than B, what is A's weight in kg? | <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">30 * (5/4)</gadget>
<output>75/2 = around 37.5</output>
<result>75/2 = around 37.5</result> | 75/2 | calc |
aqua_rat__Q89PKl45gG3tZIuC | Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 60 films, and broke even on none of them, how many of their films were profitable? Choose the correct opt... | After fiddling some more, this is how I got to answer choice 59...but did I get here using voodoo math or is it sound? (.60*.75) + (.40*.25) = .44 + .10 = .55 55/100 = 11/20 Then subtract from 60: 60 - 11/20 = 59 (answer 59)
<result>E</result> | E | calc |
ape210k__00115260 | Insert a bamboo pole vertically into the bottom of a reservoir, the wet part is 1.2 meters, turn around and insert the other end vertically to the bottom of the pool, so that the part that is not wet is 0.4 meters less than half of the total length. What is the length of the unsoaked part of the bamboo pole? | <gadget id="calculator">2.4 - 0.4</gadget>
<output>2</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / (1/2) / 2</gadget>
<output>2</output>
<gadget id="calculator">2 - 0.4</gadge... | 1.6 | calc |
aqua_rat__wGgk8G913btCGliS | Find the smallest number which when divided by 13 and 17 leaves respective remainders of 3 and 7. Options:
A) 187 B) 211 C) 207 D) 219 E) 227 | Let 'N' is the smallest number which divided by 13 and 17 leaves respective remainders of 3 and 7. Required number = (LCM of 13 and 17) - (common difference of divisors and remainders) = (221) - (10)=
<gadget id="calculator">(221) - (10)</gadget>
<output>211</output>
211. ANSWER:211
<result>B</result> | B | calc |
ape210k__00763361 | There are 720 children in the kindergarten, of which 380 are boys and how many are girls? | <gadget id="calculator">720 - 380</gadget>
<output>340</output>
<result>340</result> | 340 | calc |
aqua_rat__V98sv9lpvbEECdkR | The average (arithmetic mean) of y numbers is x. If 15 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ? Choose the correct choice from the following options:
A) x/6 - 6
B) x/6 - 5
C) x/7 - 5
D) x/5 - 4
E) x/5 - 6 | (A1 + A2 + .. + Ay)/y = x (A1 + A2 + .. + Ay + 15)/(y+1) = x - 5 => (xy + 15)/(y+1) = x - 5 => xy + 15 = yx -5y + x - 5 => 20 = x - 5y => 5y = x - 20 => y = x/5 - 4 Answer - x/5 - 4
<result>D</result> | D | calc |
ape210k__00336133 | A cylindrical block of wood is cut to 18.84 cubic decimeters and processed into the largest cone. What is the volume of this cylindrical block of cubic decimeters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">18.84 / 2 / (1/3)</gadget>
<output>28.26</output>
<result>28.26</result> | 28.26 | calc |
aqua_rat__BNQjGK2LZ19jbfuz | If s=1 and (s-b)/c = 1 which of the following is NOT a possible value of b? Choose the correct choice from the following:
A) -2
B) -1
C) 0
D) 1
E) 2 | Equation is: (s-b)/c = 1 where s = 1 so plug in 1 for s and look at it again (1-b)/c = 1 now C can be anything we want, so if b = -2 we can plug it in and make it work (1-(-2))/c = 1 3/c = 1 c = 3 and it works HOWEVER, if we have a 0 in the numerator there isn't a number on earth that makes 0/C = 1 (1... | D | calc |
ape210k__00650173 | There are 5 red and 5 blue ping-pong balls in a box with the same shape and texture, at least how many ping-pong balls can be taken out to ensure that 2 ping-pong balls of different colors can be taken out. | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00602930 | How many 0s are there at the end of the result obtained by 360*5? | <result>2</result> | 2 | calc |
aqua_rat__bNCpFOF8OUQaLaHx | On the xy-plane, each point on circle C has coordinates such
that x 0 and y 0. If the center of circle C is the point (7; 9),
what is the maximum possible area of C? Choose the correct choice.
A) 6 B) 9 C) 24 D) 32 E) 64 | I think that theintentof this question is that the circle will have NO CO-ORDINATES that fit the following 2 forms: (0, Y) or (X, 0). In real basic terms, this circle will NEITHER touch (nor cross) the X-axis NOR will it touch (nor cross) the Y-axis. With a center at (3,8), the longest possible radius would ALMOST to... | E | calc |
aqua_rat__qzAvKRz5N01CthK2 | How many such letter-pairs are there in the word BONAFIDE having same number of letters left between them as they have in the series? Choose the correct choice from the following options: A) 2 B) 3 C) 4 D) 1 E) None of these | BF,NO,AD,ANone of these,DF,DNone of these 6 POSSIBILITNone of theseS ARNone of these THNone of theseRNone of these so none of these ANSWNone of theseR:None of these
<result>E</result> | E | calc |
ape210k__00417244 | A glass fish tank is in the shape of a cube with sides 3dm long. What is the minimum square decimeter of glass needed to make this fish tank? | <gadget id="calculator">3 * 3 * 5</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
aqua_rat__lhvXgyc27MeUF1Xn | A cistern 5 m long and 2 m wide contains water up to a breadth of 1 m 10 cm. Find the total area of the wet surface. Choose the correct choice from the following choices.
A) 42 m sqaure
B) 49 m sqaure
C) 25 m sqaure
D) 28 m sqaure
E) None of these | Explanation: Area of the wet surface = 2[lb+bh+hl] - lb = 2 [bh+hl] + lb = 2[(2*1.1+5*1.1)]+5*2 = 25 m square Option 25 m sqaure
<result>C</result> | C | calc |
aqua_rat__dR16IluxJ9tOSPd6 | The simple interest at z% for z years will be $z on a sum of Choose the correct choice
A) $ (1000)/z B) $(100)z^2 C) $ z D) $ (100)/z E) $ 100z | Principal =$(100*z)/(z*z)=$(100/z). Answer is $ (100)/z
<result>D</result> | D | calc |
ape210k__00468860 | A rectangle is 25 meters wide and its length is three times its width. What is the perimeter of the rectangle? | <gadget id="calculator">25 * 3</gadget>
<output>75</output>
<gadget id="calculator">75 + 25</gadget>
<output>100</output>
<gadget id="calculator">100 * 2</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
math_qa__RVGhoxcnBS27IGxw | Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $111 dollar... | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">100 * 5</gadget>
<output>500</output>
<gadget id="calculator">30 + 20</gadget>
<output>50</output>
<gadget id="calculator">50 + 35</gadget>
<output>85</output>
<gadget id="calculator">100 - 85</gadget>
<output>15</output>
<gadget id=... | E | calc |
ape210k__00429282 | Classes A and B each have 200 textbooks. After A gives B a number of textbooks, B will have 50% more textbooks than A. | <gadget id="calculator">200 + 200</gadget>
<output>400</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2) + 1</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">400 / (5/2)</gadget>
<output>160</output>
<gadget id="calculator">200 -... | 40 | calc |
aqua_rat__klHtjOed6xF7ayty | A man's age is 125% of what it was 10 years ago, but 83 1/3%
of what it will be after 10 years. What is his present age? Choose the correct choice from the following choices
A) 70
B) 60
C) 50
D) 40
E) 35 | Age before 10 years =x 125x/100=x+10 125x=100x+1000 x=1000/25=
<gadget id="calculator">1000/25</gadget>
<output>40</output>
40 Present age=x+10=40+10=
<gadget id="calculator">40+10</gadget>
<output>50</output>
50 answer :50
<result>C</result> | C | calc |
ape210k__00629803 | Uncle deposited 2,000 yuan in the bank on March 1, 2008, for a period of three years, with an annual interest rate of 5.22%. How much yuan can uncle get back at maturity? How many. | <gadget id="calculator">5.22 / 100</gadget>
<output>0.0522</output>
<gadget id="calculator">2_000 * 0.0522 * 3</gadget>
<output>313.2</output>
<gadget id="calculator">2_000 + 313.2</gadget>
<output>2_313.2</output>
<result>2_313.2</result> | 2_313.2 | calc |
ape210k__00509400 | A number minus its (3/5) is exactly 60% of (4/9). What is this number? (solution by equation) | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(4/9) * (3/5)</gadget>
<output>4/15 = around 0.266667</output>
<g... | 13/15 | calc |
ape210k__00005656 | Cars A and B are traveling toward each other from two cities that are 690 kilometers apart. Car A travels 60 kilometers per hour. Car A goes ahead for 1 hour before car B starts. Car B travels 80 kilometers per hour, how many hours after car A drives out and meets car B? | <gadget id="calculator">60 * 1</gadget>
<output>60</output>
<gadget id="calculator">690 - 60</gadget>
<output>630</output>
<gadget id="calculator">60 + 80</gadget>
<output>140</output>
<gadget id="calculator">630 / 140</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">(9/2) + 1</gadget>
<output>11/... | 11/2 | calc |
ape210k__00218496 | A rectangular playground with a length of 160 meters and a width of 90 meters is drawn on the design drawing with a scale of 1:2000. What is the area in the drawing in square centimeters? | <gadget id="calculator">1 / 2_000</gadget>
<output>1/2_000 = around 0.0005</output>
<gadget id="calculator">160 * 100 * (1/2_000) * 90 * 100 * (1/2_000)</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__yTLvTFEuvws4htpv | There are 190 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?
Choose the correct choice from the following options:
A) 72 B) 85 C) 94 D) 105 E) 1... | You had the answer almost right. The x = 82 refers to ONLY set A. However what's being asked is how many members are part of set A. This will include: 1. Only Set A 2. Set A and Set B So the answer is Set A = 82 + Set AB = 82+23=
<gadget id="calculator">82+23</gadget>
<output>105</output>
105 105
<result>D</... | D | calc |
ape210k__00645783 | When two numbers are divided, the quotient is 32 and the remainder is 5. When the divisor is the smallest, what is the dividend? | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">32 * 6</gadget>
<output>192</output>
<gadget id="calculator">192 + 5</gadget>
<output>197</output>
<result>197</result> | 197 | calc |
math_qa__bpd171sfXbUJRbZC | The length of the rectangular field is double its width. Inside the field there is square shaped pond 4m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field? Choices: A) 54 B) 32 C) 75 D) 28 E) 16 | <gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">16 * 8</gadget>
<output>128</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">128 / (1/2)</gadget>
<output>256</output>
<gadget id="calculator">256 ** (1/2)</gadget>
<output>16... | E | calc |
aqua_rat__S9eoQjXZdm5bxtA8 | How many litres of water must be added to 16 liters of milk and water containing 10% water to make it 20% water in it? Select the correct option:
A) 2 litre B) 4 litre C) 6 litre D) 7 litre E) 9 litre | By rule of alligation, % Concentration of water in pure water (100) % Concentration of water in the given mixture (10) Mean % concentration (20) 20 - 10=
<gadget id="calculator">20 - 10</gadget>
<output>10</output>
10 100 - 20= 80 => Quantity of water : Quantity of the mixture = 10 : 80 = 1 : 8 Here... | A | calc |
ape210k__00150777 | For a cuboid block, the sum of the lengths of all its edges is 108 cm, and the ratio of its length, width, and height is 4:3:2. Now it is necessary to cut this cuboid into a cylinder with the largest volume. What is the volume of this cylinder in cubic centimeters? | <gadget id="calculator">108 / 4</gadget>
<output>27</output>
<gadget id="calculator">4 + 3 + 2</gadget>
<output>9</output>
<gadget id="calculator">3 / 9</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">27 * (1/3)</gadget>
<output>9</output>
<gadget id="calculator">9 / 2</gadget>
<output>9/2 =... | 381.51 | calc |
ape210k__00571920 | A car drives from point A to point B. It travels 56.3 kilometers in the first 2.5 hours and an average of 67.8 kilometers per hour in the next 1.5 hours. Find the average speed of the car from point A to point B. | <result>39</result> | 39 | calc |
aqua_rat__v9Elt31xfkkJaxnu | Which of the following could be the value of x, if |14x – 56| = 196?
Choose the correct choice from the following choices:
A) -14 B) -18 C) -10 D) 10 E) 1/4 | |14x – 56| = 196 => 14x - 56 = 196 or 14x - 56 = -196 => 14x = 252 or 14x = -140 => x = 18 or x = -10 Answer -10
<result>C</result> | C | calc |
ape210k__01121533 | A room is 6 meters long and 3 meters wide, and the floor is paved with floor tiles with a side length of 3 decimeters. How many bricks are needed in total? | <gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) * (3/10)</gadget>
<output>9/100 = around 0.09</output>
<gadget id="calculator">6 / (9/100)</gadget>
<output>200/3 = around 66.666667</output>
<gadget id="calculator">3 * (200/3)</gadget>
<output>200</output>
<r... | 200 | calc |
ape210k__00461788 | A 25.12-meter rope can wrap around the trunk of a tree exactly 10 times. What is the approximate radius of the cross-section of the trunk of this tree? | <gadget id="calculator">25.12 / 10 / 3.14 / 2</gadget>
<output>0.4</output>
<result>0.4</result> | 0.4 | calc |
ape210k__00050311 | There is a conical pile of sand on the construction site, the height is 1.5 meters, the radius of the bottom is 4 meters, and the sand weighs 1.5 tons per cubic meter. How many tons does this pile of sand weigh? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">(1/3) * 3.14 * 16 * 1.5</gadget>
<output>25.12</output>
<gadget id="calculator">25.12 * 1.5</gadget>
<output>37.68</output>
<result>37.68</result> | 37.68 | calc |
aqua_rat__BrLNK3QceETSZdx7 | Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 10 Choose the correct choice from the following answers: A) 14 B) 15 C) 17 D) 21 E) 20 | A. 13 (can be weighed by keeping weights of 10 and 4) B. 15 (can be weighed by keeping weights of 10,4 and 1 kg) C. 17 (can be weighed by keeping weights of 10 and 7 kg) D. 21 (can be weighed by keeping weights of 10, 7 and 4 kg) E. 19(cannot be weighed) 20
<result>E</result> | E | calc |
ape210k__00631335 | Station A and Station B are 480 kilometers apart. A train has traveled the entire distance (5/8) from Station A to Station B. How many kilometers has the train passed the midpoint of the two stations? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(5/8) - (1/2)</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">480 * (1/8)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__J9YXZX8PnxRGMQuX | The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is? Select:
A) 345 B) 250 C) 376 D) 450 E) 342 | Option: 342 342xplanation: 400*(90/100)*(95/100)=
<gadget id="calculator"> 400*(90/100)*(95/100)</gadget>
<output>342</output>
342
<result>E</result> | E | calc |
ape210k__00320995 | There is a trapezoidal vegetable field with an upper base of 14 meters, a lower base of 16 meters, and a height of 20 meters. Last year, a total of 6,900 kilograms of cabbage was harvested. How many kilograms of cabbage were harvested on average per square meter? | <gadget id="calculator">14 + 16</gadget>
<output>30</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">30 * 10</gadget>
<output>300</output>
<gadget id="calculator">6_900 / 300</gadget>
<output>23</output>
<result>23</result> | 23 | calc |
ape210k__00180252 | In a bar chart, if 30 people are represented by 1 cm long bars, how many centimeters should be used to represent 120 people. | <gadget id="calculator">120 / 30</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__sxCyPHN62cCe7IgM | Marco rode his dirt bike at 35 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 30mph, what was his average speed over the three hour portion of his ride? Choose th... | Average speed for first two hours, S1 = 35 mph Distance travelled in these two hours, D1 = 70 miles Average speed for the entire 5 hour ride, S = 30 mph Total Distance traveller in the entire 5 hour ride, D = 30 x 5 = 150 miles. Hence, distance traveller in the latter 3 hour period, 80/3 mph2 = 80/3 mph - 80/3 ... | D | calc |
aqua_rat__ZhfPPykCEVKk6z5j | A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 180 m long? Choose the correct option.
A) 38 sec B) 35 sec C) 43.2 sec D) 40 sec E) none of these | Speed = 45 km/hr = 45 × (5/18) m/s = 150/12 = 50/4 = 25/2 m/s Total distance = length of the train + length of the platform = 360 + 180=
<gadget id="calculator">360 + 180</gadget>
<output>540</output>
540 meter Time taken to cross the platform= 540/(25/2) = 540 × 2/25 = 43.2 seconds ANSWER:43.2 sec
<result... | C | calc |
ape210k__00207911 | Pour 12 cubic decimeters of water into a cuboid bucket with a length of 3 decimeters, a width of 2 decimeters, and a height of 4 decimeters. How many decimeters will the water surface be from the mouth of the bucket? | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">12 / 6</gadget>
<output>2</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__ERAAKrcwf0hFAsuy | Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings? Choose one: A) Rs.3600 B) Rs.3629 C) Rs.3279 D) Rs.3629 E) Rs.3283 | Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively. Income, 5x = 18000 => x = 3600 Savings = Income - expenditure = 5x - 4x = x So, savings =Rs.3600. Rs.3600nswer: Rs.3600
<result>A</result> | A | calc |
aqua_rat__JO4kBvh262NlMpzt | How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 54 kmph?
Select the correct option.
A) 22 sec B) 77 sec C) 16.7 sec D) 18 sec E) 17 sec | D = 100 + 150=
<gadget id="calculator">100 + 150</gadget>
<output>250</output>
250 S= 54 * 5/18=
<gadget id="calculator">54 * 5/18</gadget>
<output>15</output>
15 mps T= 250/15 = 16.7 sec Answer:16.7 sec
<result>C</result> | C | calc |
gsm8k__ZHtd57THk4obOfgF | Kevin is taking a 600-mile trip, traveling at a rate of 50 miles per hour. How much faster must he travel to decrease his travel time by 4 hours? | First find his current travel time 600 miles / 50 miles per hour =
<gadget id="calculator">600/50</gadget>
<output>12</output>
12 hours.
12 hours - 4 hours =
<gadget id="calculator">12-4</gadget>
<output>8</output>
8 hours desired travel time
600 miles / 8 hours =
<gadget id="calculator">600/8</gadget>
<output>75</o... | 25 | calc |
ape210k__00939879 | The perimeter of a square is 2m, which is twice the perimeter of an isosceles triangle with a waist length of 35cm. What is the length of the base of this isosceles triangle in centimeters? | <result>350</result> | 350 | calc |
ape210k__00011940 | Zhou Mingming bought a copy of "Xinhua Dictionary" with a price of 19.90 yuan and a copy of "One Hundred Thousand Whys" with a price of 24.35 yuan with a piece of 50 yuan. How much should the salesperson give him? | <gadget id="calculator">19.9 + 24.35</gadget>
<output>44.25</output>
<gadget id="calculator">50 - 44.25</gadget>
<output>5.75</output>
<result>5.75</result> | 5.75 | calc |
math_qa__j0kNkFQ28ZTR1mvM | The diagonal of a rhombus are 65 m and 60 m. Its area is:
Choose the correct choice from the following choices
A) 1940 B) 1950 C) 1960 D) 1990 E) 1980 | <gadget id="calculator">(65 * 60) / 2</gadget>
<output>1_950</output>
<result>B</result> | B | calc |
ape210k__00264577 | How many degrees does the hour hand rotate around the center of the clock face to go from 6:00 to 9:00. | <gadget id="calculator">9 - 6</gadget>
<output>3</output>
<gadget id="calculator">30 * 3</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
math_qa__IlDWPsVVVHWTsI8g | Among 200 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology? Options
A) 60 B) 90 C) 120 D) 172 E) 188 | <gadget id="calculator">200 / 100</gadget>
<output>2</output>
<gadget id="calculator">2 * 56</gadget>
<output>112</output>
<gadget id="calculator">2 * 44</gadget>
<output>88</output>
<gadget id="calculator">112 + 88</gadget>
<output>200</output>
<gadget id="calculator">2 * 30</gadget>
<output>60</output>
<gadget i... | A | calc |
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