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aqua_rat__t9y1YrAXsVBRm9kN
[( 3.241 x 14 ) / 100] = ? Choose one. A) 0.045374 B) 4.5388 C) 453.88 D) 473.88 E) None of these
0.045374nswer Multiplying 3.241 x 14=4.5374 Now divide 4.5374 by 100 So, 4.5374 ÷ 100= 0.045374 ∴ Shift the decimal two places to the left as 100 Correct Option: 0.045374 <result>A</result>
A
calc
ape210k__00312402
If a piece of paper with a side length of 1 cm is divided into small squares with a side length of 1 cm, how many pieces can it be divided into?
<gadget id="calculator">1 * 10 * 1 * 10</gadget> <output>100</output> <result>100</result>
100
calc
aqua_rat__Pgs0mjHVyyIaReO6
One hour after Yolanda started walking from X to Y, a distance of 31 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 1 miles per hour and Bobâs was 2 miles per hour, how many miles had Bob walked when they met? Choose the correct answer A) 19 B) 20 C) 22 D) 21 E) 19.5
Let t be the number of hours that Bob had walked when he met Yolanda. Then, when they met, Bob had walked 4t miles and Yolanda had walked (t + 1) miles. These distances must sum to 31 miles, so 2t + (t + 1) = 31, which may be solved for t as follows 2t + (t + 1) = 31 2t + t + 1 = 31 3t = 30 T = 10 (hours) The...
B
calc
aqua_rat__hW4r9GBmZI58wnLc
Combine terms: 8a + 26b -4b – 16a. Choose the correct choice. A) 4a + 22b B) -28a + 30b C) -8a + 22b D) 28a + 30b E) 5a + 30b
Solution: 8a + 26b -4b – 16a. = 8a – 16a + 26b – 4b. = -8a + 22b. Answer: (-8a + 22b) <result>C</result>
C
calc
aqua_rat__wa7n5PIeD71c5ivu
A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed? Options: A) 4hrs B) 6hrs C) 8hrs D) 9hrs E) 11hrs
New speed = 7/11 of usual speed New time = 11/7 of usual time 11/7 of usual time = 22 hrs Usual time = 22*7/11= <gadget id="calculator">22*7/11</gadget> <output>14</output> 14 hrs Time saved= 22-44 = 8 hrs Answer is 8hrs <result>C</result>
C
calc
ape210k__00845123
The school cafeteria bought a batch of rice, used 45kg every day, and after 18 days, there was still 90kg. How many kilograms is this batch of rice?
<gadget id="calculator">45 * 18</gadget> <output>810</output> <gadget id="calculator">810 + 90</gadget> <output>900</output> <result>900</result>
900
calc
ape210k__01139895
Xiao Li processed a batch of parts. After processing 180 parts, he improved the work efficiency by 20% and completed the remaining tasks. As a result, he completed the task 4 days ahead of schedule. If Xiao Li improves work efficiency by 35% from the very beginning, he can finish the task 7 days ahead of time by proces...
<result>1_620</result>
1_620
calc
ape210k__00192570
If 20 people rent a boat together, if there are 5 more people who rent the boat, the average rent spent by each person will be reduced by 1 yuan. What is the rent for renting a boat?
<gadget id="calculator">20 + 5</gadget> <output>25</output> <gadget id="calculator">1 / 20</gadget> <output>1/20 = around 0.05</output> <gadget id="calculator">(1/20) * 20</gadget> <output>1</output> <gadget id="calculator">(1/20) * 5</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">(1/4) - 1</ga...
100
calc
ape210k__00288785
Two cars drove oppositely from two places 360 kilometers apart at the same time, and met after 2.4 hours. It is known that the speed ratio of the two cars is 12:13, how many kilometers per hour does the faster car travel?
<gadget id="calculator">360 / 2.4</gadget> <output>150</output> <gadget id="calculator">12 + 13</gadget> <output>25</output> <gadget id="calculator">13 / 25</gadget> <output>13/25 = around 0.52</output> <gadget id="calculator">150 * (13/25)</gadget> <output>78</output> <result>78</result>
78
calc
ape210k__00235611
How many small squares with an area of 4 square centimeters can be cut from a piece of rectangular paper with a length of 8 cm and a width of 6 cm.
<gadget id="calculator">8 / 2</gadget> <output>4</output> <gadget id="calculator">6 / 2</gadget> <output>3</output> <gadget id="calculator">4 * 3</gadget> <output>12</output> <result>12</result>
12
calc
aqua_rat__Vb43a260ME8Yo5JD
A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 84 liters of drink A to convert it to drink B? Choose the correct answer A) 24 B) 28 C) 32 D) 3...
In 84 liters of drink A, there are 48 liters of milk and 36 liters of juice. With 48 liters of milk, we need a total of 64 liters of juice to make drink B. We need to add 28 liters of juice. The answer is 28. <result>B</result>
B
calc
ape210k__00335787
Xinxin Kindergarten celebrates Children's Day and buys 12kg of chocolate candies, which is 6kg less than the toffee. Now mix the two kinds of sugar and distribute them to 6 classes on average. How many kilograms of sugar will each class get?
<gadget id="calculator">12 + 6 + 12</gadget> <output>30</output> <gadget id="calculator">30 / 6</gadget> <output>5</output> <result>5</result>
5
calc
aqua_rat__LWwfB8UfFejsc5Kr
Find the value of * in the following (1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7) Choose the most appropriate option: A) 3.2 B) 3.4 C) 3.6 D) 3.8 E) 4
3.6 Option '3.6' <result>C</result>
C
calc
aqua_rat__dKcz3Y8A6jS3R6we
A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability W that the team will have exactly 2 women? Choose the correct choice from the following answers A) 1/14 B) 1/7 C) 2/7 D) 3/7 E) 1/2
5C2 * 3C2 -&gt; it gives combination of exactly 2 women and 2 men. 8C4 -&gt; gives total possibilities of 4 people from 5 women and 3 men. Probability = 5C2*3C2 / 8C4 = 3/7 SECOND METHOD: Probability of two women -&gt; 5/8 * 4/7. probability of two men -&gt; 3/6 * 2/5. Probability: (5/8 * 4/7) * (3/6 * 2/5)...
D
calc
ape210k__00089630
How many four-digit natural numbers contain the number 0?
<gadget id="calculator">9_999 - 1_000</gadget> <output>8_999</output> <gadget id="calculator">8_999 + 1</gadget> <output>9_000</output> <gadget id="calculator">9 * 9 * 9 * 9</gadget> <output>6_561</output> <gadget id="calculator">9_000 - 6_561</gadget> <output>2_439</output> <result>2_439</result>
2_439
calc
ape210k__00687793
360 people from the fourth grade go to the autumn outing. Each ticket costs 25 yuan, and the bus ticket costs 22 yuan. How much is the total cost?
<gadget id="calculator">25 * 360</gadget> <output>9_000</output> <gadget id="calculator">22 * 360</gadget> <output>7_920</output> <gadget id="calculator">9_000 + 7_920</gadget> <output>16_920</output> <result>16_920</result>
16_920
calc
ape210k__00487106
Out of 100 parts, 3% are unqualified. After taking out 25 qualified parts, what percentage are unqualified?
<gadget id="calculator">3 / 100</gadget> <output>3/100 = around 0.03</output> <gadget id="calculator">100 - 25</gadget> <output>75</output> <gadget id="calculator">(3/100) / 75</gadget> <output>1/2_500 = around 0.0004</output> <gadget id="calculator">100 * (1/2_500)</gadget> <output>1/25 = around 0.04</output> <res...
1/25
calc
aqua_rat__oDlhnvozkLEIyZxT
If 3x+y=40, 2x-y=20, for integers of x and y, 2y^2=? Select the correct option: A) 2 B) 4 C) 0 D) 10 E) 32
3x+y = 40 2x-y = 20 5x = 60 x = 12 y = 4 2y^2 = 2*16= <gadget id="calculator">2*16</gadget> <output>32</output> 32 Answer is 32 <result>E</result>
E
calc
gsm8k__8Sxz5MCxZsrmLXCN
Cordelia is dyeing her hair red. To get the color she wants, she first has to bleach her dark brown hair to blonde, and then she has to apply the dye. The whole process will take 9 hours. Dyeing takes twice as long as bleaching. How many hours will it take Cordelia to bleach her hair?
Let H be the number of hours it takes Cordelia to bleach her hair. A dye treatment takes twice as long, so it takes 2H. Thus, bleaching and dying will take H + 2H = 3H = 9 hours. Therefore, it will take Cordelia H = 9 / 3 = <gadget id="calculator">9/3</gadget> <output>3</output> 3 hours to bleach her hair. <result>3<...
3
calc
ape210k__00505923
The number of boys in a class is more than girls (1/5), and the number of girls is less than boys.
<gadget id="calculator">6 - 5</gadget> <output>1</output> <gadget id="calculator">1 / 6</gadget> <output>1/6 = around 0.166667</output> <result>1/6 = around 0.166667</result>
1/6
calc
ape210k__00190941
The product of the numerator and the denominator is 420. How many real fractions are there in total?
<result>8</result>
8
calc
aqua_rat__8FAts8Dcyej19hqi
John’s salary is reduced by 40% and then reduced salary is increased by 40%. Find ,how many percentage his present salary is less as compared to his previous salary? Choose the correct answer: A) 12% B) 14% C) 16% D) 18% E) 20%
40*40 -------- = 16% 100 Answer: 16% <result>C</result>
C
calc
ape210k__00311234
The monkey mother went up the mountain to pick 105 peaches, and he planned to distribute them to 7 monkey babies. How many peaches can each monkey baby get?
<gadget id="calculator">105 / 7</gadget> <output>15</output> <result>15</result>
15
calc
math_qa__7XkP5ECtZ1FmaLiT
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11% per annum then the gain of B in a period of 3 years is? Choose the correct choice from the following A) 110 B) 106 C) 105 D) 107 E) 109
<gadget id="calculator">3_500 * 11</gadget> <output>38_500</output> <gadget id="calculator">38_500 * 3</gadget> <output>115_500</output> <gadget id="calculator">115_500 / 100</gadget> <output>1_155</output> <gadget id="calculator">3_500 * 10</gadget> <output>35_000</output> <gadget id="calculator">35_000 * 3</gadge...
C
calc
ape210k__01049767
For a pile of coal, (2/7) was removed in the morning, and (1/3) was removed in the afternoon, and there were 6 tons more, and finally 14 tons were left undelivered. How many tons did this pile of coal have?
<gadget id="calculator">6 + 14</gadget> <output>20</output> <gadget id="calculator">2 / 7</gadget> <output>2/7 = around 0.285714</output> <gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">(2/7) + (1/3)</gadget> <output>13/21 = around 0.619048</output> <gadget id="...
105/2
calc
ape210k__00201086
A and B each have a certain amount of RMB. When A gives B his own money (1/5), B also gives A his current money (1/5). equal. It turns out that A's money is B's ((())/(())).
<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">100 / (4/5)</gadget> <output>125</output> <gadget id="calculator">125 * (1/5)</gadget> <output>25</output> <gadget id="calculator">100 - 25</g...
15/17
calc
aqua_rat__VGOQHDiFeh5ggYWs
A boat can move upstream at 14 kmph and downstream at 18 kmph, then the speed of the current is? Options: A) 5 B) 6 C) 8 D) 4 E) 2
US = 14 DS = 18 M = (18 - 14)/2= <gadget id="calculator">(18 - 14)/2</gadget> <output>2</output> 2 Answer:2 <result>E</result>
E
calc
aqua_rat__vP209lqljkdTffi7
What is the least number which should be added to 2597 so that the sum is exactly divisible by 5, 6, 4, and 3? Pick. A) 17 B) 23 C) 26 D) 35 E) 43
L.C.M. of 5, 6, 4 and 3 = 60. When dividing 2597 by 60, the remainder is 17. The number to be added = 60 - 17= <gadget id="calculator">60 - 17</gadget> <output>43</output> 43. The answer is 43. <result>E</result>
E
calc
ape210k__00197316
20092009*2010-20102010*2009; how much.
<gadget id="calculator">20_092_009 * 2_010</gadget> <output>40_384_938_090</output> <gadget id="calculator">20_102_010 * 2_009</gadget> <output>40_384_938_090</output> <gadget id="calculator">40_384_938_090 - 40_384_938_090</gadget> <output>0</output> <result>0</result>
0
calc
math_qa__uQt0szgvRih5uQE2
A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is? Choose the correct choice A) 16 B) 19 C) 15 D) 24 E) 10
<gadget id="calculator">2 * 2</gadget> <output>4</output> <gadget id="calculator">4 - 2</gadget> <output>2</output> <gadget id="calculator">26 - 2</gadget> <output>24</output> <gadget id="calculator">2 - 1</gadget> <output>1</output> <gadget id="calculator">24 / 1</gadget> <output>24</output> <result>D</result>
D
calc
aqua_rat__3p5diEuyf3TOgQcf
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 6 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps? Options: A) 5 : 1 B) 30 : 2 C) 15 : 2 D) 20 : 2 E) 25 : 2
U/I = 6/2 I/B = 5/1 Since I is multiple of both 2 (as per first ratio) and 5 (as per second ratio) so let's assume that I = 10 i.e. Multiplying teh first ratio by 5 and second ration by 2 in each numerator and denominator then, U : I : B = 30 : 18 : 2 i.e. U : 30 : 2 =30 : 2 Answer: Option 30 : 2 <result>B<...
B
calc
aqua_rat__92ubleJAtKdD1KhQ
A shopkeeper sells 200 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth? Select the correct option A) 12 B) 27 C) 29 D) 55 E) 95
SP per metre = 18000/200 = Rs. 90 Loss per metre = Rs. 5 CP per metre = 90 + 5 = Rs. 95.Answer: 95 <result>E</result>
E
calc
ape210k__00121073
The circumference of the base of a cone is 12.56 cm and the height is 9 cm. What is the volume of the cone in cubic centimeters?
<gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <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) * 3.14 * 4 * 9</gadget> <output>37.68</output> <result>37.68</result>
37.68
calc
aqua_rat__9WAiTmjeYZX1wBnA
A shopkeeper sold an article offering a discount of 4% and earned a profit of 38%. What would have been the percentage of profit earned if no discount was offered? Pick one. A) 24 B) 28 C) 30 D) 32 E) 44
Let C.P. be Rs. 100. Then, S.P. = Rs. 138 Let marked price be Rs. x. Then, 96/100 x = 138 x = 13800/96 = Rs. 143.75 Now, S.P. = Rs. 143.75, C.P. = Rs. 100 Profit % = 44%. ANSW44R:44 <result>E</result>
E
calc
ape210k__00328708
There are 13 cooperative groups in the fourth grade, and each group has 4 students. It is known that the whole class got 312 cooperation stars this semester, how many cooperation stars does each student get on average?
<gadget id="calculator">312 / 13 / 4</gadget> <output>6</output> <result>6</result>
6
calc
math_qa__ArOmv8Cch7Y8vWDw
Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 8 inches on a side and costs $10, and a large pizza that measures 12 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each pu...
<gadget id="calculator">12 ** 2</gadget> <output>144</output> <gadget id="calculator">144 * 3</gadget> <output>432</output> <gadget id="calculator">8 ** 2</gadget> <output>64</output> <gadget id="calculator">64 + 144</gadget> <output>208</output> <gadget id="calculator">208 + 208</gadget> <output>416</output> <gad...
C
calc
ape210k__00074377
Uncle Zhou went to work at 3:00 p.m. and left work at 11:00 p.m. How many hours did he work?
<result>8</result>
8
calc
aqua_rat__zenrmbvssT3zwIiR
There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices. Choose the correct option: A) 120 B) 116 C) 140 D) 20 E) 10
Solution: The number of triangle can be formed by 10 points = 10C3. Similarly, the number of triangle can be formed by 4 points when no one is collinear=4C3. In the question, given 4 points are collinear, Thus, required number of triangle can be formed, = 10C3-4C3 = 120-4= <gadget id="calculator">120-4</gadget> ...
B
calc
ape210k__00343807
book has 320 pages. Xiaogang read 19% of the whole book on the first day and 31% of the whole book on the second day. How many pages are left?
<gadget id="calculator">19 / 100</gadget> <output>19/100 = around 0.19</output> <gadget id="calculator">31 / 100</gadget> <output>31/100 = around 0.31</output> <gadget id="calculator">1 - (19/100) - (31/100)</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">320 * (1/2)</gadget> <output>160</output> ...
160
calc
ape210k__00261307
How many (1/8) are subtracted from 5 (1/8), and 3 (1/8) are left, which is ((())/(())).
<result>2</result>
2
calc
ape210k__00623273
Uncle Wang (3/4) typed (1/3) of a manuscript in an hour, what fraction of the manuscript did he type in an average hour?
<gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">3 / 4</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">(1/3) / (3/4)</gadget> <output>4/9 = around 0.444444</output> <result>4/9 = around 0.444444</result>
4/9
calc
ape210k__00502567
A car starts from point A and travels 255 kilometers in 3 hours. At this speed, it can reach point B in another 5 hours. How many kilometers are there between A and B?
<gadget id="calculator">255 / 3</gadget> <output>85</output> <gadget id="calculator">5 + 3</gadget> <output>8</output> <gadget id="calculator">85 * 8</gadget> <output>680</output> <result>680</result>
680
calc
ape210k__00536364
The distance between A and B is 450 kilometers. Two fast and slow trains leave from the two places at the same time. After 3 hours, the two trains meet at a distance of 12 kilometers from the midpoint. How many kilometers per hour is the speed of the fast train compared with the slow train?
<gadget id="calculator">2 / 3</gadget> <output>2/3 = around 0.666667</output> <gadget id="calculator">12 * (2/3)</gadget> <output>8</output> <result>8</result>
8
calc
ape210k__00619606
Teacher Li bought 3 footballs, gave the salesperson 230 yuan, and got 5 yuan back. How much is each football?
<gadget id="calculator">230 - 5</gadget> <output>225</output> <gadget id="calculator">225 / 3</gadget> <output>75</output> <result>75</result>
75
calc
ape210k__00397028
There are a total of 1296 teachers and students, and it happens to be full. There are 36 rows. How many people can sit in each row?
<gadget id="calculator">1_296 / 36</gadget> <output>36</output> <result>36</result>
36
calc
ape210k__00175719
Uncle Zhang deposits 2,000 yuan in the bank for a period of three years with an annual interest rate of 3.25%. After the maturity, the total amount of principal and interest can be obtained.
<gadget id="calculator">3.25 / 100</gadget> <output>0.0325</output> <gadget id="calculator">2_000 * 0.0325 * 3</gadget> <output>195</output> <gadget id="calculator">2_000 + 195</gadget> <output>2_195</output> <result>2_195</result>
2_195
calc
aqua_rat__CQRSm0wfawUUOqsg
Jim is able to sell a hand-carved statue for $620 which was a 25% profit over his cost. How much did the statue originally cost him? Choose the correct option: A) $496.00 B) $512.40 C) $555.40 D) $574.90 E) $588.20
620 = 1.25*X X = 620/1.25= <gadget id="calculator">620/1.25</gadget> <output>496</output> 496.00 which rounds to $496.00, which is ($496.00). <result>A</result>
A
calc
ape210k__00393459
The price of a pair of trousers is 138 yuan, and the price of a top is 4 times that of the trousers. How much is the price of this coat?
<gadget id="calculator">138 * 4</gadget> <output>552</output> <result>552</result>
552
calc
ape210k__00378134
The price of a set of "Fairy Tales" in the bookstore is as follows: 16 copies per set, 15.5 yuan each. Xiao Ming bought a set with his membership card, and only spent 198.4 yuan. How much money has he saved using his loyalty card?
<gadget id="calculator">15.5 * 16</gadget> <output>248</output> <gadget id="calculator">248 - 198.4</gadget> <output>49.6</output> <result>49.6</result>
49.6
calc
ape210k__00610462
What is the product of subtracting 98 from 186 and multiplying by 47 plus 25?
<gadget id="calculator">186 - 98</gadget> <output>88</output> <gadget id="calculator">47 + 25</gadget> <output>72</output> <gadget id="calculator">88 * 72</gadget> <output>6_336</output> <result>6_336</result>
6_336
calc
aqua_rat__0RBj12wPlnV5iev5
Convert 350 inches into centimeter? Choose the correct answer. A) 812cm B) 820cm C) 850cm D) 889cm E) 854cm
1 inch = 2.54cm 350 inches = 100*2.54 = 889cm Answer is 889cm <result>D</result>
D
calc
ape210k__00994335
Ning Ning made 2 tops and 3 skirts for Barbie dolls, how many different suits can be matched.
<gadget id="calculator">3 * 2</gadget> <output>6</output> <result>6</result>
6
calc
aqua_rat__oWt93xUD9VyX27IA
When sold at a 40% discount, a sweater nets the merchant a 30% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price? Choose the correct choice from the following answers: A) 20% B) 40% C) 50% D) 53.85% E) 100%
we should be careful about what are we measuring % on/what is the base.. let the Marked up price =100.. Selling price= 100-40%of 100=60.. profit= 30%.. therefore the wholesale purchase cost= x.... 1.3x=60 or x=46.15... marked price was 100 so ... so answer is 53.85%.. 53.85% <result>D</result>
D
calc
ape210k__00596479
Xiao Ming rides a bicycle to travel, and travels the entire distance (3/8) in 2 hours, and is still 8 kilometers away from the midpoint. How far is Xiao Ming from the destination?
<gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">3 / 8</gadget> <output>3/8 = around 0.375</output> <gadget id="calculator">(1/2) - (3/8)</gadget> <output>1/8 = around 0.125</output> <gadget id="calculator">8 / (1/8)</gadget> <output>64</output> <gadget id="calculator...
40
calc
aqua_rat__6gFX6qNMM7biq0RB
Sony and Johnny caught 50 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch? Options: A) 12 B) 16 C) 10 D) 38 E) 42
s+j=50 s=4*j j=10 ANSWER:10 <result>C</result>
C
calc
ape210k__00171913
A circular cardboard with a diameter of 15 decimeters rolls once on the meter stick, how many decimeters will it pass?
<gadget id="calculator">3.14 * 15</gadget> <output>47.1</output> <result>47.1</result>
47.1
calc
ape210k__00485286
Put colorful flags on both sides of the road (both ends), one every 5 meters, a total of 30 flags. How many meters is this road?
<gadget id="calculator">30 - 1</gadget> <output>29</output> <gadget id="calculator">29 * 5</gadget> <output>145</output> <result>145</result>
145
calc
aqua_rat__w47GDE7ZOKDSxBbL
A watch passes through three hands and each person gains 25%. If the third person sells it for $125, what did the first person pay for it? Choose the correct choice from the following options: A) $54 B) $60 C) $64 D) $72 E) $80
1.25*1.25*1.25 * original price = 125 (5/4)^3 * original price = 125 original price = 64*125 / 125= <gadget id="calculator">64*125 / 125</gadget> <output>64</output> $64 The answer is $64. <result>C</result>
C
calc
gsm8k__TSwMQ81sYc7ooTEh
Sophie went to the Dunkin Donuts store and bought 4 boxes of donuts. There were 12 donuts in each box. She gave 1 box to her mom and half a dozen to her sister. How many donuts were left for her?
Sophie has 4 - 1 = <gadget id="calculator">4-1</gadget> <output>3</output> 3 boxes of donuts left. The total number of pieces of donuts that she has is 3 x 12 = <gadget id="calculator">3*12</gadget> <output>36</output> 36. She gave 12 / 2 = <gadget id="calculator">12/2</gadget> <output>6</output> 6 donuts to her sis...
30
calc
ape210k__00159541
How many divisors of 24 are there?
<gadget id="calculator">3 + 1</gadget> <output>4</output> <gadget id="calculator">1 + 1</gadget> <output>2</output> <gadget id="calculator">4 * 2</gadget> <output>8</output> <result>8</result>
8
calc
ape210k__00527717
Two people, A and B, set off from A and B at the same time, and walk toward each other, and they meet after (5/2) minutes; when they meet, A travels (1/4) longer than B, so how many minutes should A be ahead of B? Arrive at the starting point of the other party.
<gadget id="calculator">1 / 4</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">5 / 2</gadget> <output>5/2 = around 2.5</output> <gadget id="calculator">(5/4) / 2 / (5/2)</gadget> <output>1/4 = around 0.25</output> <gadg...
8/3
calc
ape210k__00486499
The original price of a product is 200 yuan, but the price is reduced by 5% due to promotional reasons. When the last few products are left, they will be sold at a 12% discount. What is the price of the last few products?
<gadget id="calculator">5 / 100</gadget> <output>1/20 = around 0.05</output> <gadget id="calculator">1 - (1/20)</gadget> <output>19/20 = around 0.95</output> <gadget id="calculator">88 / 100</gadget> <output>22/25 = around 0.88</output> <gadget id="calculator">200 * (19/20) * (22/25)</gadget> <output>836/5 = around ...
836/5
calc
aqua_rat__jhJHsxGWCrmu5Dvu
A starts business with Rs.4500 and after 7 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the Capital ? Choose the correct choice from the following options: A) 24887 B) 20778 C) 16200 D) 9000 E) 2811
Explanation: A invested Rs.3500 for 12 months. Let B joined with investment x. And he invested for 12 - 7= <gadget id="calculator">12 - 7</gadget> <output>5</output> 5 months. So there profit ratio= (4500 × 12) : (5x) = 2 : 3 ⇒ x = 16200 Answer: 16200 <result>C</result>
C
calc
aqua_rat__kVU5uyAFzZ9ncm05
P can do a certain work in 9 days. Q is 60% more efficient than P. How many days does Q alone take to do the same job? Pick one A) 60/9 B) 45/8 C) 30/7 D) 25/6 E) 18/4
Each day, P can do 1/9 of the work. Each day, Q can do 1.6/9 of the work = 16/90 of the work The time taken by B alone to complete the total work is 90/16 = 45/8 days. The answer is 45/8. <result>B</result>
B
calc
aqua_rat__BoygxdlJOkFvWANO
Average of 15 results is 43. If the average of first seven results is 41 and average of last seven results is 45 Then find the eighth result? Options A) 41 B) 39 C) 43 D) 45 E) 47
Option '43' <result>C</result>
C
calc
ape210k__00094514
Calculation: 4:5=(χ+5):10.
<gadget id="calculator">4 * 10</gadget> <output>40</output> <gadget id="calculator">40 - 25</gadget> <output>15</output> <gadget id="calculator">15 / 5</gadget> <output>3</output> <result>3</result>
3
calc
ape210k__01218883
The average of nine numbers is 16. If one of the numbers is changed to 30, then the average of these nine numbers is 18. What is the changed number?
<gadget id="calculator">18 * 9</gadget> <output>162</output> <gadget id="calculator">16 * 9</gadget> <output>144</output> <gadget id="calculator">162 - 144</gadget> <output>18</output> <gadget id="calculator">30 - 18</gadget> <output>12</output> <result>12</result>
12
calc
ape210k__00272621
The base angle of an isosceles triangle is 64°, what is the apex angle?
<gadget id="calculator">64 * 2</gadget> <output>128</output> <gadget id="calculator">180 - 128</gadget> <output>52</output> <result>52</result>
52
calc
ape210k__00943575
The upper part of a rice hoard is conical and the lower part is cylindrical. The circumference of the base of the cylinder is 18.84 meters and the height is 2 meters; the height of the cone is 0.6 meters. Each cubic meter of rice weighs about 600 kilograms. How many kilograms does this hoard of rice weigh?
<gadget id="calculator">18.84 / 3.14 / 2</gadget> <output>3</output> <gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">(1/3) * 3.14 * 9</gadget> <output>9.42</output> <gadget id="calculator">3.14 * 9 * 2</gadget> <output>56.52</output> <gadget id="calculator">9.42...
39_564
calc
aqua_rat__EmLx6SvFKTueBAly
At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 15 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank? Choose the correct choice from the following answers: A) 3/25...
Gas used = (5 hours)*(50 miles/hour)*(1 gallon/30 miles) = 8+1/3 gallons Portion used = (8+1/3) / 15 = 5/9 Ans 5/9 <result>C</result>
C
calc
ape210k__01057631
How much water must be evaporated from 40 kg of 12.5% brine to produce 20% brine?
<gadget id="calculator">12.5 / 100</gadget> <output>0.125</output> <gadget id="calculator">20 / 100</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">0.125 / (1/5)</gadget> <output>0.625</output> <gadget id="calculator">40 * 0.625</gadget> <output>25</output> <gadget id="calculator">40 - 25</gadget...
15
calc
ape210k__00792475
The engineering team wants to build a 20,000-meter-long road. In the first month, 5,376 meters were repaired, and in the second month, 6,854 meters were repaired. How many meters are left to be repaired? (answer in two ways)
<gadget id="calculator">20_000 - 5_376 - 6_854</gadget> <output>7_770</output> <result>7_770</result>
7_770
calc
ape210k__01158393
There is a garden of 680 square meters in Zhou Enlai's Red Army Elementary School plan, in which (1/4) are planned to be azaleas, (1/5) are to be planted with roses, and the rest are to be planted with lawns. What percentage of the area is the lawn?
<gadget id="calculator">1 / 4</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 / 5</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">1 - (1/4) - (1/5)</gadget> <output>11/20 = around 0.55</output> <result>11/20 = around 0.55</result>
11/20
calc
ape210k__00478891
Dalin did 15 more math problems than Xiao Lin, Xiao Ming did 6 more math problems than Xiao Lin, how many more math problems did Dalin do than Xiao Ming?
<gadget id="calculator">15 + 1</gadget> <output>16</output> <gadget id="calculator">6 + 1</gadget> <output>7</output> <gadget id="calculator">16 - 7</gadget> <output>9</output> <result>9</result>
9
calc
aqua_rat__Ts27CECS4FlmnW5x
Divide Rs. 1600 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is? Select: A) Rs.800 B) Rs.400 C) Rs.600 D) Rs.500 E) Rs.900
A+Rs.400+C = 1600 A = 1/3(Rs.400+C); Rs.400 = 2/3(A+C) A/(Rs.400+C) = 1/3 A = 1/4 * 1600= <gadget id="calculator">1/4 * 1600</gadget> <output>400</output> &gt; 400 ANSWER:Rs.400 <result>B</result>
B
calc
aqua_rat__ypadkugakILJrSh7
A straight line in the xy- plane has slope 4 . On this line the x-coordinate of the point is 50 and y-coordinate is 300 then what is the y intercept of the plane? Choose the correct choice from the following answers A) 150 B) 110 C) 100 D) 200 E) 50
Eq of line = Y = MX +C M= 4 X=50 Y=50*4 + C, Substitute Y by 300 as given in question. 300=200+100 , 100 =100 correct option is 100 <result>C</result>
C
calc
ape210k__00192408
What is the closest number to 4000 among the following numbers?
<result>3_999</result>
3_999
calc
ape210k__00048097
If (x+m)(x-8) does not contain the primary item of x, what is the value of m
<result>8</result>
8
calc
ape210k__00287691
In order to encourage residents to save water, the water supply company stipulates that when the water used by each person does not exceed 2 cubic meters per month, the fee is 1.6 yuan per cubic meter, and the part that exceeds 2 cubic meters is charged at 5 yuan per cubic meter. Xiaohong’s family has 3 people. A total...
<gadget id="calculator">2 * 3</gadget> <output>6</output> <gadget id="calculator">6 * 1.6</gadget> <output>9.6</output> <gadget id="calculator">29.6 - 9.6</gadget> <output>20</output> <gadget id="calculator">20 / 5</gadget> <output>4</output> <gadget id="calculator">6 + 4</gadget> <output>10</output> <result>10</r...
10
calc
gsm8k__Vmwq7FMb1sGP75mF
The bald eagle can dive at a speed of 100 miles per hour, while the peregrine falcon can dive at a speed of twice that of the bald eagle. Starting from the same treetop, if it takes the bald eagle 30 seconds to dive to the ground, how long, in seconds, will it take the peregrine falcon to dive the same distance?
Twice the speed of the bald eagle is 100*2= <gadget id="calculator">100*2</gadget> <output>200</output> 200 miles per hour. Let "x" be the time in seconds it takes the peregrine falcon to travel to the ground. Thus, based on the ratio of their speeds, the following expression is given: x=30*(100/200). Thus, x=15 second...
15
calc
ape210k__01124299
Xiao Ming has 2 different tops and 2 different pants, how many different outfits can he match?
<gadget id="calculator">2 * 2</gadget> <output>4</output> <result>4</result>
4
calc
ape210k__00290020
20 is 2 more than (2/3) of a number, what is this number?
<gadget id="calculator">20 - 2</gadget> <output>18</output> <gadget id="calculator">2 / 3</gadget> <output>2/3 = around 0.666667</output> <gadget id="calculator">18 / (2/3)</gadget> <output>27</output> <result>27</result>
27
calc
ape210k__00897493
Teacher Wang distributed some exercise books to 6 students. Each student got 12 books and 2 books were left. How many more books can be added? Can each student get another book?
<gadget id="calculator">6 - 2</gadget> <output>4</output> <result>4</result>
4
calc
ape210k__00100407
Knowing that the number of boys in the first class of the sixth grade of elementary school accounts for 70% of the total number of the class, the number of boys in the second class of the sixth grade is 2 less than that of the first class, and the number of girls is twice that of the first class. If the two classes are...
<gadget id="calculator">4 * 6</gadget> <output>24</output> <result>24</result>
24
calc
ape210k__00360806
The fruit shop brings in 100 boxes of bananas, which are apples (5/6), how many boxes of apples and bananas are brought in?
<gadget id="calculator">5 / 6</gadget> <output>5/6 = around 0.833333</output> <gadget id="calculator">1_000 / (5/6)</gadget> <output>1_200</output> <gadget id="calculator">1_000 + 1_200</gadget> <output>2_200</output> <result>2_200</result>
2_200
calc
aqua_rat__tuYsGoM5euA3HRLO
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade w...
On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade; On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade; So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is ...
E
calc
ape210k__00413681
A book has 90 pages, each page has 20 lines, and each line has 25 characters. About how many words are there in this book?
<gadget id="calculator">25 * 20 * 90</gadget> <output>45_000</output> <result>45_000</result>
45_000
calc
math_qa__u8v3DUZIdrVkKtGN
If W is the set of all the integers between 35 and 64, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers? Select: A) 18 B) 19 C) 61 D) 31 E) 11
<gadget id="calculator">64 - 35</gadget> <output>29</output> <gadget id="calculator">29 / 3</gadget> <output>29/3 = around 9.666667</output> <gadget id="calculator">floor(29/3)</gadget> <output>9</output> <gadget id="calculator">29 / 2</gadget> <output>29/2 = around 14.5</output> <gadget id="calculator">9 + (29/2)<...
B
calc
aqua_rat__jHM2rxpRhpnKfkxm
A certain collage has total of 600 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects? Pick. A) 100 B) 130 C) 75...
Answer 130 600 = 450 + 20 + x =&gt; x = 130 = 3/4 * 600 in 4 subjects + 20 min for 5th subject + x = 600 <result>B</result>
B
calc
aqua_rat__EsnL5FFAk5jQt9sS
Lexy walks 5 miles from point A to point M in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip? Options: A) 40 B) 80 C) 120 D) 160 E) 180
Lexy walks 5 miles from point A to point M in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip? Average speed = total distance/total time We know the total ...
D
calc
ape210k__00062220
The store bought a batch of repeaters, each with a purchase price of 98 yuan and a selling price of 128 yuan. After the sale, the profit was 3600 yuan. How many repeaters are there in total?
<gadget id="calculator">128 - 98</gadget> <output>30</output> <gadget id="calculator">3_600 / 30</gadget> <output>120</output> <result>120</result>
120
calc
ape210k__01000123
Xiaohong has 24 domestic roosters and 120 hens. How many times does the number of hens outnumber roosters?
<gadget id="calculator">120 / 24</gadget> <output>5</output> <result>5</result>
5
calc
aqua_rat__XFWcIiSDcQ4zmgdJ
In a village of 120 families, 93 families use firewood for cooking, 63 families use kerosene, 45 families use cooking gas, 45 families use firewood and kerosene, 24 families use kerosene and cooking gas, 27 families use cooking gas and firewood. Find how many useall? Choose the most appropriate option: A) 120 B) 93 C) ...
Let F,K and G represent the sets of students who liked rock music, folk music and classical music respectively. F=93, K=63, G=45 F and K=45 F and G=27 K and G=24 All= 120-93-63-45+45+27+24= <gadget id="calculator">120-93-63-45+45+27+24</gadget> <output>15</output> 15 ANSWER 15 <result>D</result>
D
calc
ape210k__00417376
Put 8 iron blocks of equal volume into a water container with a length of 60 cm, a width of 20 cm, and a depth of 50 cm. The water level in the container rises exactly 4 cm. Do you know the volume of each block of iron in cubic centimeters?
<gadget id="calculator">4 / 8</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">60 * 20 * (1/2)</gadget> <output>600</output> <result>600</result>
600
calc
ape210k__00163735
A pig weighs 109.7 kg, which is 3.2 kg more than three times that of a sheep. How much does a sheep weigh? (solution by equation)
<gadget id="calculator">109.7 - 3.2</gadget> <output>106.5</output> <gadget id="calculator">106.5 / 3</gadget> <output>35.5</output> <result>35.5</result>
35.5
calc
aqua_rat__6IXuRA35MXLuWA9l
The time it took car P to travel 150 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour? Choose the correct answer A) 23 B) 50 C) 60 D) 70 E) 80
Let speed of car R be=x Then speed of car P= x+10 A/Q, (150/x)-(150/(x+10))=2 Solving for x=23 miles\hr. 23 <result>A</result>
A
calc
ape210k__00239226
A bag of potatoes is 50kg, how many kilograms are left after eating (2/5) of it?
<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">50 * (3/5)</gadget> <output>30</output> <result>30</result>
30
calc
ape210k__00792395
There are 50 students in Class 61. Today's attendance rate is 96%. How many people are absent today?
<gadget id="calculator">96 / 100</gadget> <output>24/25 = around 0.96</output> <gadget id="calculator">1 - (24/25)</gadget> <output>1/25 = around 0.04</output> <gadget id="calculator">50 * (1/25)</gadget> <output>2</output> <result>2</result>
2
calc
ape210k__00101885
The London Olympic Organizing Committee announced that the 30th Summer Olympic Games in 2012 will open on July 27, 2012 local time, and close on August 12, 2012. How many days did the Olympic Games last? How many
<gadget id="calculator">31 - 27</gadget> <output>4</output> <gadget id="calculator">4 + 1 + 12</gadget> <output>17</output> <result>17</result>
17
calc
ape210k__00488237
There are 6 grades in my school, and each grade has 9 classes, with an average of 73 students in each class. How many students are there in Xiaolu's school?
<gadget id="calculator">9 * 6 * 73</gadget> <output>3_942</output> <result>3_942</result>
3_942
calc