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ape210k__00096576
If A=2*2*3*5, B=2*3*3*5*7, then what is the least common multiple of A and B
<gadget id="calculator">2 * 3 * 5 * 2 * 3 * 7</gadget> <output>1_260</output> <result>1_260</result>
1_260
calc
ape210k__00304859
If the equation (4/9)/((5/6)-(5/12)*□)=(8/13) holds true, then what number should be filled in □.
<gadget id="calculator">4 / 15</gadget> <output>4/15 = around 0.266667</output> <result>4/15 = around 0.266667</result>
4/15
calc
aqua_rat__e9ZMfxk1WlmK0kHu
Mice can multiply very fast. Adult mice can give birth once every month, and baby mice grow into adult mice in just two months after they are born. If you would buy a baby mouse just after it was born, how many mice would you have in 10 months? Choose one A) 1 B) 2 C) 3 D) 4 E) 5
One. You cannot have more mice if you start with one! 1nswer 1 <result>A</result>
A
calc
aqua_rat__NSF2Su54BLjM4WhR
If x and y are both prime numbers greater than 10, which of the following CANNOT be true? I. xy is an even number. II. x - y = 117. III.The sum of x and y is even. Choose the correct choice from the following options: A) A)I and II only B) I only C) I and III only D) II and III only E) I, II and III
MANHATTAN GMATOFFICIAL SOLUTION: Since x and y are both prime numbers greater than 10, they must both be odd. Therefore xy must be an odd number, so Statement I cannot be true. Similarly, if x and y are both odd, then x - y cannot equal 117 (an odd number). This difference must be even. Therefore, Statement II cannot...
D
calc
aqua_rat__Dooh9FS2fl6rG0ha
In a group of 60 people, 35 have visited Iceland and 23 have visited Norway. If 31 people have visited both Iceland and Norway, how many people have visited neither country? Select A) 30 B) 31 C) 32 D) 33 E) 34
This is an example of a standard Overlapping Sets question. It has no 'twists' to it, so you'll likely find using the Overlapping Sets Formula to be a fairly easy approach. If you're not familiar with it, then here is the Formula: 60= 35 + 23 - 31 + (# in Neither Group) =33 The prompt gives you all of the numbers...
D
calc
mawps__eElIudSwJHNpNcQ1
Nickolas had 236 lychee. Jonathan clasped some lychee. Now Nickolas has 53 lychee. How many did Jonathan claspeds?
<gadget id="calculator">236 - 53</gadget> <output>183</output> <result>183</result>
183
calc
gsm8k__v9ezbUEGYEdFp8bO
Emilia needs 42 cartons of berries to make a berry cobbler. She already has 2 cartons of strawberries and 7 cartons of blueberries in her cupboard. She decides to go to the supermarket to get more cartons. How many more cartons of berries should Emilia buy?
She previously had 2 cartons + 7 cartons = <gadget id="calculator">2+7</gadget> <output>9</output> 9 cartons of berries. Emilia needs to buy 42 cartons - 9 cartons = <gadget id="calculator">42-9</gadget> <output>33</output> 33 cartons of berries. <result>33</result>
33
calc
gsm8k__DTElgP25TefHuRwk
Janet buys 3 pounds of broccoli for $4 a pound, 3 oranges for $0.75 each, a cabbage for $3.75, a pound of bacon for $3, and two pounds of chicken for $3 a pound. What percentage of her grocery budget did she spend on meat, rounded to the nearest percent?
First find the total cost of the broccoli: 3 pounds * $4/pound = $ <gadget id="calculator">3*4</gadget> <output>12</output> 12. Then find the total cost of the oranges: 3 oranges * $0.75/orange = $ <gadget id="calculator">3*0.75</gadget> <output>2.25</output> 2.25. Then find the total cost of the vegetables: $12 + $2.2...
33
calc
ape210k__00370696
A factory needs to produce 30,000 parts, 750 are produced in the first 6 days, and the rest will be completed in 15 days. How many parts are produced on average per day?
<gadget id="calculator">30_000 - 750</gadget> <output>29_250</output> <gadget id="calculator">29_250 / 15</gadget> <output>1_950</output> <result>1_950</result>
1_950
calc
aqua_rat__sja42qxYS8cTg3CN
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? Choose the correct choice from the following answers: A) 80 B) 100 C) 25 D) 206 E) 300
We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys). Required number of ways = (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4) = (6C1 x 4C1) + (6C2 x 4C2) + (6C3 x 4C1) + (6C2) = (24 + 90 + 80 + 15)= <gadget id="calculator">(24 + 90 + 80 + 15)</gadget> <output>209</output...
D
calc
aqua_rat__BWXHZjLXbFMF05en
A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 6000 as profit , what is their total profit? Choose the correct choice from the following A) 28000 B) 30000 C) 42000 D) 34000 E) None of the...
Explanation : Suppose B's investment = x. Then A's investment= 3x Suppose Bs period of investment = y, then A's period of investment = 2y A : B = 3x * 2y : xy = 6 : 1 Total profit * 1/7 3 * 2= <gadget id="calculator">3 * 2</gadget> <output>6</output> 6 : 1 Total profit * 1/7= 6000 =&gt; Total profit = ...
C
calc
ape210k__00989939
The store brings in 8 boxes of socks, 40 pairs in each box, and the price of each pair is 8 yuan. How much do these socks sell for in total?
<gadget id="calculator">40 * 8 * 8</gadget> <output>2_560</output> <result>2_560</result>
2_560
calc
ape210k__00536359
From June 30, 2010 to January 1, 2012, how many days have you experienced? (June 30 and January 1 are also counted)
<gadget id="calculator">1 + 184</gadget> <output>185</output> <gadget id="calculator">185 + 365 + 1</gadget> <output>551</output> <result>551</result>
551
calc
ape210k__00129668
Choose 3 randomly from 4 different types of plasma TVs and 5 different types of LCD TVs. Among them, there must be at least 1 plasma TV and 1 LCD TV. How many different methods are there in total?
<gadget id="calculator">4 / 2</gadget> <output>2</output> <gadget id="calculator">5 * 2</gadget> <output>10</output> <gadget id="calculator">4 * 10</gadget> <output>40</output> <gadget id="calculator">3 / 2</gadget> <output>3/2 = around 1.5</output> <gadget id="calculator">4 * (3/2)</gadget> <output>6</output> <ga...
70
calc
ape210k__00441104
There are 450 hens in the chicken farm, and the number of chicks is three times the number of hens. How many chickens are there in the chicken farm?
<gadget id="calculator">450 * 3</gadget> <output>1_350</output> <gadget id="calculator">450 + 1_350</gadget> <output>1_800</output> <result>1_800</result>
1_800
calc
ape210k__01196663
The price of a box of steel nails is 14 yuan and 50 cents. The master worker bought 5 boxes of steel nails, how much should he pay in total?
<gadget id="calculator">5 / 10</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">14 + (1/2)</gadget> <output>29/2 = around 14.5</output> <gadget id="calculator">(29/2) * 5</gadget> <output>145/2 = around 72.5</output> <result>145/2 = around 72.5</result>
145/2
calc
aqua_rat__rEoTWMYViRMpYAIL
The area of one square is x^2 + 10x + 25 and the area of another square is 4x^2 − 20x + 25. If the sum of the perimeters of both squares is 36, what is the value of x? Choose the correct choice from the following answers: A) 3 B) 5 C) 7 D) 9 E) 11
The areas are (x+5)^2 and (2x-5)^2. The lengths of the sides are x+5 and 2x-5. If we add the two perimeters: 4(x+5) + 4(2x-5) = 36 12x = 36 x = 3 The answer is 3. <result>A</result>
A
calc
aqua_rat__rgTWEZqTRvpU3Ul6
As part of a game, seven people each must secretly choose an integer between 1 and 7, inclusive. What is the approximate likelihood that all seven people will choose different numbers? Answers: A) 1% B) 12% C) 16% D) 20% E) 25%
1%ns:a) 1st person has option no's- (1,2,3,4,5,6,7) - there fore probability of getting a no =7c1/7c1 = 1 2nd person has option no's any six , he has to choose a no from six no's - there fore probability of getting a no = 6c1/7c1 = 6/7 3rd person has option no's any five, he has to choose a no from five no's ...
A
calc
aqua_rat__D8EKNC6z38VtADxg
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 16000, then find the annual income of A? Select: A) Rs. 537600 B) Rs. 180000 C) Rs. 201600 D) Rs. 504000 E) None of these
B's monthly income = 16000 * 112/100 = Rs. 17920 B's monthly income = 2 parts ----&gt; Rs. 17920 A's monthly income = 5 parts = 5/2 * 17920 = Rs. 44800 A's annual income = Rs. 44800 * 12 = Rs. 537600 Rs. 537600NSWER:Rs. 537600 <result>A</result>
A
calc
aqua_rat__LZopBFsOEOMcEL8L
A snooker tournament charges $40.00 for VIP seats and $10.00 for general admission (“regular” seats). On a certain night, a total of 320 tickets were sold, for a total cost of $7,500. How many fewer tickets were sold that night for VIP seats than for general admission seats? Options: A) 190 B) 180 C) 170 D) 160 E)...
let no of sits in vip enclosure is x then x*40 +10( 320-x) =7500 or 25x = 7500 -3200 , x = 4300/25= <gadget id="calculator">4300/25</gadget> <output>172</output> 172 vip=172 general =320-172= <gadget id="calculator">320-172</gadget> <output>148</output> 148 148 <result>E</result>
E
calc
ape210k__01135629
There are 360 lilies, and roses are 10% less than lilies. How many roses are there?
<gadget id="calculator">10 / 100</gadget> <output>1/10 = around 0.1</output> <gadget id="calculator">1 - (1/10)</gadget> <output>9/10 = around 0.9</output> <gadget id="calculator">360 * (9/10)</gadget> <output>324</output> <result>324</result>
324
calc
ape210k__01046207
Given that (1/2)m+3=1, and (3/2)m(n-1)=m-2, find the value of n.
<gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">2 / (1/2)</gadget> <output>4</output> <gadget id="calculator">4 - 2</gadget> <output>2</output> <result>2</result>
2
calc
math_qa__TzIEZ58FZdDr4J1A
The difference between compound and simple interest on a particular sum of money for 3 years at 6 and 2/3% p.a is Rs.184. What is the sum? Select. A) 13000 B) 13500 C) 14000 D) 14500 E) 15000
<gadget id="calculator">184 * 3</gadget> <output>552</output> <gadget id="calculator">552 * 3</gadget> <output>1_656</output> <gadget id="calculator">1_656 * 3</gadget> <output>4_968</output> <gadget id="calculator">4_968 * 6</gadget> <output>29_808</output> <gadget id="calculator">29_808 / 2</gadget> <output>14_90...
B
calc
aqua_rat__cpnM7IyoZLwRTFWK
A sum of money lent out at S.I. amounts to a total of $590 after 2 years and to $815 after a further period of 5 years. What was the initial sum of money that was invested? Pick one. A) $490 B) $500 C) $510 D) $520 E) $530
S.I for 5 years = $815 - $590 = $225 The S.I. is $45/year S.I. for 2 years 815 - 590= <gadget id="calculator">815 - 590</gadget> <output>225</output> $225 The S.I. is $45/year S.I. for 2 years= $90 Principal = $590 - $90 = $500 The answer is $500.590 - 90= <gadget id="calculator">590 - 90</gadget> <ou...
B
calc
ape210k__00970483
A's number is 30 (1/5), B's (5/6) is 25, A's number is what percentage of B's number?
<gadget id="calculator">1 / 5</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">30 * (1/5)</gadget> <output>6</output> <gadget id="calculator">5 / 6</gadget> <output>5/6 = around 0.833333</output> <gadget id="calculator">25 / (5/6)</gadget> <output>30</output> <gadget id="calculator">6 / 30</gadget...
1/5
calc
aqua_rat__QgAhvF9ggWD8afTG
At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90? Choose the correct choice from the following answers. A) 11 points B) 12 points C) 15 points D) 10 points E) 12 points
"A can give 15 points to B in 60". =&gt; In a game of 60, A starts with 0 points where B starts with 15 points "A can give 20 points to C in 60". =&gt; In a game of 60, A starts with 0 points where C starts with 20 points ie, in a game of 60-15-45, B can give C 20-15= <gadget id="calculator"> 20-15</gadget>...
D
calc
ape210k__00534564
Cars A and B leave opposite places A and B at the same time and meet each other in (3/4) hours. After (3/5) hours of departure, the two cars are (4/5) kilometers apart. What is the distance in miles between A and B?
<gadget id="calculator">4 / 5</gadget> <output>4/5 = around 0.8</output> <gadget id="calculator">3 / 4</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">3 / 5</gadget> <output>3/5 = around 0.6</output> <gadget id="calculator">(3/4) - (3/5)</gadget> <output>3/20 = around 0.15</output> <gadget id="c...
4
calc
aqua_rat__i1YTy7ekY9Yo7gfG
If a wholesaler distributes items to several outlets (A, B, C and D) in the ratio of 1/10 : 1/11 : 1/15 : 1/16, then find the total number of items the wholesaler distributes? Choose the correct choice from the following options: A) 945 B) 745 C) 845 D) 145 E) 345
Here, A : B : C : D = 1/10 : 1/11 : 1/15 : 1/16 1) L.C.M of 10, 11, 15,16 is 2640 2) Find the number of books each friend received --------- (To find no. of books each friend has, multiply the ratio with the L.C.M. calculated) A = (1/10) x 2640 = 264 B = (1/11) x 2640 = 240 C = (1/15) x 2640 = 176 D = (1/16...
C
calc
ape210k__01194963
Class A and Class B planted 300 trees in total. The number of trees planted by Class A was 5 times that of Class B. How many trees did Class A plant?
<gadget id="calculator">5 + 1</gadget> <output>6</output> <gadget id="calculator">300 / 6</gadget> <output>50</output> <gadget id="calculator">300 - 50</gadget> <output>250</output> <result>250</result>
250
calc
aqua_rat__a242cUwbXgofyXYt
A batsman makes a score of 95 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning. Choose the correct option. A) 40 B) 50 C) 62 D) 45 E) 56
Let the average after 11th inning = x Then, average after 10th inning = x-5 10(x-5)+95 = 11x x = 95-50= <gadget id="calculator">95-50</gadget> <output>45</output> 45 Answer is 45 <result>D</result>
D
calc
ape210k__00211094
A 2-meter-long steel pipe is sawed into several equal sections, sawed 5 times, what is the total length of each section
<gadget id="calculator">5 + 1</gadget> <output>6</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__00050273
A number, minus 20% of it, plus 5, is still 3 smaller than the original. So, what is this number.
<gadget id="calculator">5 + 3</gadget> <output>8</output> <gadget id="calculator">20 / 100</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">8 / (1/5)</gadget> <output>40</output> <result>40</result>
40
calc
ape210k__00013709
Cut a 45-meter-long iron wire into equal small pieces, each piece is (3/5) meters long, how many pieces can be cut?
<gadget id="calculator">3 / 5</gadget> <output>3/5 = around 0.6</output> <gadget id="calculator">45 / (3/5)</gadget> <output>75</output> <result>75</result>
75
calc
ape210k__00014129
The vegetable store shipped 1800 kg of cabbage and 850 kg of cauliflower, each 50 kg in a basket, how many more baskets of cabbage than cauliflower? (answer in two ways)
<gadget id="calculator">1_800 / 50</gadget> <output>36</output> <gadget id="calculator">850 / 50</gadget> <output>17</output> <gadget id="calculator">36 - 17</gadget> <output>19</output> <result>19</result>
19
calc
ape210k__00549037
Write a minimal fraction that is greater than (1/2) but less than (2/3): (1/2)<how many<(2/3).
<gadget id="calculator">7 / 12</gadget> <output>7/12 = around 0.583333</output> <result>7/12 = around 0.583333</result>
7/12
calc
gsm8k__Xz2us7h9GFucb8N8
Jessie won 3 times as many athletic awards as his buddy Scott, who won 4 awards. The best athlete at the rival high school won twice as many awards as Jessie. How many awards did the rival win?
Jessie won 3 times the amount of the 4 awards that Scott won so he won 3*4 = <gadget id="calculator">3*4</gadget> <output>12</output> 12 awards. The rival athlete won twice the awards as Jessie, who won 12 so he won 2*12 = <gadget id="calculator">2*12</gadget> <output>24</output> 24 awards. <result>24</result>
24
calc
aqua_rat__5uP7GrdCoEhK5ySi
|x+3| – |4-x| = |8+x| How many solutions Zwill this equation have? Choose the correct choice from the following choices. A) 0 B) 1 C) 2 D) 3 E) 4
Z=|x| = x when x &gt;= 0 (x is either positive or 0) |x| = -x when x &lt; 0 (note here that you can put the equal to sign here as well x &lt;= 0 because if x = 0, |0| = 0 = -0 (all are the same) So the '=' sign can be put with x &gt; 0 or with x &lt; 0. We usually put it with 'x &gt; 0' for consistency.0 <result>...
A
calc
aqua_rat__f4rtn5cJ85yFZV8o
The cash realised on selling a 14% stock is Rs.104.25, brokerage being 1/4% is Choices A) 123 B) 106 C) 100 D) 156 E) 104
Explanation: Cash realised= Rs. (104.25 - 0.25) = Rs. 104. Answer: 104 <result>E</result>
E
calc
gsm8k__LdDP6Ir06VWFMVIl
Janet has a business selling custom collars for dogs and cats. If it takes 18 inches of nylon to make a dog collar and 10 inches to make a cat collar, how much nylon does she need to make 9 dog collars and 3 cat collars?
First find the total number of inches of nylon used for the dog collars: 18 inches/dog collar * 9 dog collars = 162 inches. Then find the total number of inches of nylon used for the cat collars: 10 inches/cat collar * 3 cat collars = 30 inches. Then add the nylon needed for the cat and dog collars to find the total am...
192
calc
ape210k__00432778
Street lamps are installed on both sides of a street with a total length of 2000 meters (both ends are installed), and one is installed every 50 meters. How many street lamps are installed in total?
<gadget id="calculator">2_000 / 50</gadget> <output>40</output> <gadget id="calculator">40 + 1</gadget> <output>41</output> <gadget id="calculator">41 * 2</gadget> <output>82</output> <result>82</result>
82
calc
aqua_rat__rGas8mZIIvzW4gqR
A rectangle having length 100 cm and width 40 cm. If the length of the rectangle is increased by fifty percent then how much percent the breadth should be decreased so as to maintain the same area. Answers A) 25% B) 33.33% C) 40% D) 75% E) None of these
Explanation : Solution: (50/(100+50) * 100)% = 33.33% Answer : 33.33% <result>B</result>
B
calc
math_qa__eLgh01SsQVdlPxrT
One drier dries certain quantity of material in 24 minutes. Another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ? Answers A) 1.00 minutes B) 1.20 minutes C) 1.50 min D) 1.85 min E) 2.00 minutes
<gadget id="calculator">1 / 24</gadget> <output>1/24 = around 0.041667</output> <gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">(1/24) + (1/2)</gadget> <output>13/24 = around 0.541667</output> <gadget id="calculator">1 / (13/24)</gadget> <output>24/13 = around 1.84615...
D
calc
ape210k__00628863
There are 20 cards ranging from 1 to 20 on the table. Xiao Ming takes out 2 cards each time, and the number of a card is required to be 2 times more than the number of a card received, so how many cards does Xiao Ming take out at most.
<gadget id="calculator">20 - 2</gadget> <output>18</output> <result>18</result>
18
calc
ape210k__00220028
For non-zero natural numbers a and b, the meaning of the specified symbol ※ is a※b=((ma+b)/(2ab)) (m is a definite integer). If 1*4=2*3, then 3*4=how much.
<gadget id="calculator">6 * 3</gadget> <output>18</output> <gadget id="calculator">18 + 4</gadget> <output>22</output> <gadget id="calculator">3 * 4</gadget> <output>12</output> <gadget id="calculator">2 * 12</gadget> <output>24</output> <gadget id="calculator">22 / 24</gadget> <output>11/12 = around 0.916667</outp...
11/12
calc
math_qa__7ajMhw6sqX5KxAs1
of 3 numbers , the third is 4 times the second and the second is two times the first . if their average is 165 , the second number of the 3 numbers is : Choices A) 18 B) 100 C) 90 D) 45 E) 120
<gadget id="calculator">3 * 165</gadget> <output>495</output> <gadget id="calculator">4 * 2</gadget> <output>8</output> <gadget id="calculator">8 + 3</gadget> <output>11</output> <gadget id="calculator">11 / 2</gadget> <output>11/2 = around 5.5</output> <gadget id="calculator">495 / (11/2)</gadget> <output>90</outp...
C
calc
ape210k__00684081
What is the following number that is not equal to 85%
<result>8.5</result>
8.5
calc
ape210k__00532843
Two people, A and B, start from A to B at the same time. When A walked the whole distance (3/5), B walked the whole distance (1/2). During the rest of the journey, A maintains the original speed, and B travels 25 kilometers more per hour than before. As a result, A and B arrive at B at the same time. The whole journey ...
<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">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="calc...
360
calc
ape210k__00131335
10 cubic meters of water is increased by (1/10) and then decreased by (1/10), what is the result in cubic meters?
<gadget id="calculator">1 / 10</gadget> <output>1/10 = around 0.1</output> <gadget id="calculator">1 + (1/10)</gadget> <output>11/10 = around 1.1</output> <gadget id="calculator">1 - (1/10)</gadget> <output>9/10 = around 0.9</output> <gadget id="calculator">10 * (11/10) * (9/10)</gadget> <output>99/10 = around 9.9</...
99/10
calc
math_qa__AeNkkT3RBIQCptqm
Car A runs at the speed of 35 km/hr & reaches its destination in 10hr. Car B runs at the speed of 25 km/h & reaches its destination in 6h. What is the respective ratio of distances covered by Car A & Car B? Choose the correct choice from the following choices: A) 7 : 3 B) 5 : 7 C) 9 : 7 D) 3 : 5 E) 11 : 6
<gadget id="calculator">35 * 10</gadget> <output>350</output> <gadget id="calculator">25 * 6</gadget> <output>150</output> <gadget id="calculator">350 / 150</gadget> <output>7/3 = around 2.333333</output> <result>A</result>
A
calc
math_qa__bADXKfJSYbzNrxBu
At the end of year X, automobile installment credit accounted for 43% of all outstanding consumer installment credit. At that time automobile finance companies extended $50 billion of credit, or 1/4 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that tim...
<gadget id="calculator">50 * 4</gadget> <output>200</output> <gadget id="calculator">43 / 100</gadget> <output>43/100 = around 0.43</output> <gadget id="calculator">200 / (43/100)</gadget> <output>20_000/43 = around 465.116279</output> <result>B</result>
B
calc
ape210k__01187155
How many cubic centimeters need to be cut from a cube with side length of 6 cm to form the largest cylinder?
<gadget id="calculator">6 * 6 * 6</gadget> <output>216</output> <gadget id="calculator">6 / 2</gadget> <output>3</output> <gadget id="calculator">3 ** 2</gadget> <output>9</output> <gadget id="calculator">3.14 * 9 * 6</gadget> <output>169.56</output> <gadget id="calculator">216 - 169.56</gadget> <output>46.44</outp...
46.44
calc
ape210k__00426193
A construction site needs 50 tons of cement, which is transported 5 times by a truck with a load of 4 tons, and the rest is transported by a truck with a load of 2.5 tons. How many more times should it be transported?
<gadget id="calculator">4 * 5</gadget> <output>20</output> <gadget id="calculator">50 - 20</gadget> <output>30</output> <gadget id="calculator">30 / 2.5</gadget> <output>12</output> <result>12</result>
12
calc
ape210k__01117799
75% of a number is 20 greater than 25% of this number, what is this number?
<gadget id="calculator">75 / 100</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">25 / 100</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">(3/4) - (1/4)</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">20 / (1/2)</gadget> <output>40</output> <result>40</resul...
40
calc
gsm8k__NWIatAwnpTdFXxW3
A truck driver’s heavy semi truck can go 3 miles per gallon of gas. The truck driver needs to put gas in his truck at one gas station, but wants to put the minimum amount he needs to get him to a much cheaper gas station 90 miles away. He already has 12 gallons of gas in his tank. How many more gallons does the truck d...
The truck driver can go 3 * 12 = <gadget id="calculator">3*12</gadget> <output>36</output> 36 miles on the gas in his tank. He needs to go 90 - 36 = <gadget id="calculator">90-36</gadget> <output>54</output> 54 more miles. Thus, the truck driver needs to put 54 / 3 = <gadget id="calculator">54/3</gadget> <output>18<...
18
calc
aqua_rat__4Bpmy2vkG0BaLPON
The total age of A and B is 11 years more than the total age of B and C. C is how many year younger than A Choose one. A) 11 B) 12 C) 13 D) 14 E) 15
Explanation: Given that 11+B = 11 + B + C =&gt; 11 ? C = 11 + B ? B = 11 =&gt; C is younger than 11 by 11 years 11nswer: Option 11 <result>A</result>
A
calc
aqua_rat__wHgqAnLP6fClaqCQ
5 cylinders are built successively, the first is 4 meters tall and the following cylinders are each 4 meters taller than the previous. If the perimeter is 10pi m, what is the total surface area of the 5 cylinders, excluding the bases of each cylinder? Choose the correct choice from the following answers. A) 725pi sq m ...
s.a. = h x p + 2 x a we need to excude the bottom area, so the formula becomes: s.a. = h x p + a p = 2 pi x r, so 10 pi = 2 pi x r r = 5 since we have 5 cylinders with different heights the equation becomes s.a. = ( 4 + 8 + 12 + 16 + 20 ) x 10pi + 5 x pi x r ^2 60 x 10 pi + 5 pi x 5^2 600 pi + 125 pi = ...
A
calc
ape210k__00654079
What is 4 times of 240
<gadget id="calculator">240 * 4</gadget> <output>960</output> <result>960</result>
960
calc
ape210k__00352599
The sum of the sides of a cuboid is 96 cm, and the ratio of length, width, and height is 5:4:3. What is the surface area of this cuboid?
<gadget id="calculator">96 / 4</gadget> <output>24</output> <gadget id="calculator">5 + 4 + 3</gadget> <output>12</output> <gadget id="calculator">5 / 12</gadget> <output>5/12 = around 0.416667</output> <gadget id="calculator">24 * (5/12)</gadget> <output>10</output> <gadget id="calculator">4 / 12</gadget> <output>...
376
calc
ape210k__00194400
The number of parts processed by the apprentice is 45, which is 5 more than the number of parts processed by the master (1/2). How much does the master process.
<gadget id="calculator">45 - 5</gadget> <output>40</output> <gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">40 / (1/2)</gadget> <output>80</output> <result>80</result>
80
calc
ape210k__01144843
In a cuboid container with a length of 31.4 decimeters and a width of 15 decimeters, put a conical part with a base radius of 5 decimeters and a height of 27 decimeters, and then fill the container with water. When the conical part is taken out, how many decimeters will the water level drop?
<gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">5 ** 2</gadget> <output>25</output> <gadget id="calculator">31.4 * 15</gadget> <output>471</output> <gadget id="calculator">27 / 471</gadget> <output>9/157 = around 0.057325</output> <gadget id="calculator">(1/3) *...
1.5
calc
ape210k__00950615
The students are playing games. There are 28 boys and 26 girls. Now they are divided into groups of 3 people. How many groups can they be divided into?
<gadget id="calculator">28 + 26</gadget> <output>54</output> <gadget id="calculator">54 / 3</gadget> <output>18</output> <result>18</result>
18
calc
aqua_rat__WIkMbpzBpa7saJKO
If x and y are different prime numbers, each greater than 8, which of the following must be true? I. x+y is an even integer II. xy is an odd integer III. (x/y) is not an integer Choose the most appropriate option: A) I,II only B) I,III only C) II,III only D) I,II and III E) II only
Given: x and y are different prime numbers, both greater than 8 Statement I: x+y is an even integer Since x and y are prime numbers greater than 8, they will be odd Therefore sum will be even. Correct Statement II: xy is an odd integer Since x and y are prime numbers greater than 8, they will be odd There...
D
calc
ape210k__00302986
Xiao Ming spent (3/7) hours on Chinese for homework, which was (2/7) hours less than mathematics. How many hours did the two homeworks take?
<gadget id="calculator">3 / 7</gadget> <output>3/7 = around 0.428571</output> <gadget id="calculator">2 / 7</gadget> <output>2/7 = around 0.285714</output> <gadget id="calculator">(3/7) + (2/7) + (3/7)</gadget> <output>8/7 = around 1.142857</output> <result>8/7 = around 1.142857</result>
8/7
calc
ape210k__00267825
In the formula of dividing a single digit by a three-digit number, there is 0 in the middle of the dividend, and there may not be many in the middle of the quotient
<result>0</result>
0
calc
ape210k__00587719
Xiaoming said: 8 yuan a certificate costs 72 yuan, Xiaohua said: too expensive, buy 6 yuan a piece. How much will that cost?
<gadget id="calculator">72 / 8</gadget> <output>9</output> <gadget id="calculator">9 * 6</gadget> <output>54</output> <result>54</result>
54
calc
ape210k__00763569
There are 748 fruit trees in the orchard, and each fruit tree needs to apply 5 kg of chemical fertilizer. How many kg of chemical fertilizer is needed in total?
<gadget id="calculator">748 * 5</gadget> <output>3_740</output> <result>3_740</result>
3_740
calc
aqua_rat__Y2nLPnERxiEpHBId
It was calculated that 75 men could complete a piece of work in 30 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work? Select the correct option: A) 20 days. B) 30 days. C) 25 days. D) 28 days. E) 45 days.
One day work = 1 / 30 One man’s one day work = 1 / ( 30 * 75) Now: No. Of workers = 50 One day work = 50 * 1 / ( 30 * 75) The total no. of days required to complete the work = (75 * 30) / 50= <gadget id="calculator">(75 * 30) / 50</gadget> <output>45</output> 45 Answer:45 days. <result>E</result>
E
calc
aqua_rat__EcFfmcfwArJzg2wh
A lent Rs. 5000 to B for 2 years and Rs 3000 to C for 4 years on simple interest at the same rate of interest and received Rs 2200 in all from both of them as interest. The rate of interest per annum is Options A) 9% B) 10% C) 11% D) 12% E) None of these
Explanation: Let R% be the rate of simple interest then, from question we can conclude that (5000∗R∗2/100)+(3000∗R∗4/100)=2200 &lt;=&gt;100R+120R=2200 &lt;=&gt;R=10% Option 10% <result>B</result>
B
calc
gsm8k__Sozfao4Q0e1OZH22
Rick has just celebrated his 15th birthday. His oldest brother is twice his age, and his middle brother is a third of the oldest brother’s age. The smallest brother is half the middle brother’s age. If the youngest brother is 2 years younger than the smallest brother, how old, in years, is the youngest brother?
Rick's oldest brother is 15 years * 2 = <gadget id="calculator">15*2</gadget> <output>30</output> 30 years old. This means the middle brother is 30 years / 3 = <gadget id="calculator">30/3</gadget> <output>10</output> 10 years old. The smallest brother is therefore 10 years / 2 = <gadget id="calculator">10/2</gadget...
3
calc
ape210k__00073675
A fruit shop sells 42 kg of apples in the morning and 54 kg in the afternoon. These apples were sold for a total of 288 yuan, how much is the price per kilogram of apples.
<gadget id="calculator">42 + 54</gadget> <output>96</output> <gadget id="calculator">288 / 96</gadget> <output>3</output> <result>3</result>
3
calc
aqua_rat__AP7U9VJAVxpTsW7T
Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $700 (before payroll deductions)? Choose the correct choice from the following answers: A) 1220 B) 1250 C) 1280 D) 1310 E) 1340
total pay = 40*$12.50 + $0.16*x = 700 x = 200 / 0.16= <gadget id="calculator">200 / 0.16</gadget> <output>1_250</output> 1250 The answer is 1250. <result>B</result>
B
calc
ape210k__00396777
Teacher Zhang wants to buy a TV set. If the installment payment is made, the store will increase the price by 5%, while the one-time payment can be sold at 97% of the original price. Teacher Zhang did the math and found that the installment payment was 560 yuan more than the one-time payment. How much is the original p...
<gadget id="calculator">5 / 100</gadget> <output>1/20 = around 0.05</output> <gadget id="calculator">97 / 100</gadget> <output>97/100 = around 0.97</output> <gadget id="calculator">(1/20) - (97/100)</gadget> <output>-23/25 = around -0.92</output> <gadget id="calculator">1 + (-23/25)</gadget> <output>2/25 = around 0....
7_000
calc
math_qa__woFwNAJqN8LHjGkU
If there are 156 laborers in a crew, and on a certain day, 70 were present. Calculate the percentage that showed up for work? (round to the nearest tenth). Choose the most appropriate option: A) 45.9 % B) 43.9 % C) 42.9 % D) 41.9 % E) 44.9 %
<gadget id="calculator">70 * 100</gadget> <output>7_000</output> <gadget id="calculator">7_000 / 156</gadget> <output>1_750/39 = around 44.871795</output> <result>E</result>
E
calc
aqua_rat__Rz7BVDmLRsELCFp4
What is his percentage profit made by Elvis if he purchased 25 dozen belts at Rs. 35 per dozen. He sold 10 dozens at 15% profit and the remaining 15 dozens with 16% profit? Pick: A) 18% B) 12% C) 16% D) 15% E) 19%
Explanation : C.P of 25 dozen = Rs.(35 x 25) = Rs.875 C.P of 10 dozen = Rs. (35 x10) = Rs. 350. C.P of 15 dozen =Rs. (35 x15) = Rs. 525 profit on 10 dozen at 15% = 15/100*350= <gadget id="calculator">15/100*350</gadget> <output>105/2 = around 52.5</output> 52.5 profit on 15 remaining dozen at 20%= 20/100*525...
A
calc
ape210k__00646755
The teacher wants to set up a learning garden on one wall of the classroom. This learning field is a rectangle with a length of 1 meter and a width of 8 decimeters surrounded by colored paper. How many decimeters of colored paper should be used?
<gadget id="calculator">1 * 10</gadget> <output>10</output> <gadget id="calculator">10 + 8</gadget> <output>18</output> <gadget id="calculator">18 * 2</gadget> <output>36</output> <result>36</result>
36
calc
aqua_rat__TvGdq9v8TVpVQ4Xw
The average mark of a class of twenty students is 64. If three students whose marks are 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class. Answers: A) 71 B) 74 C) 57 D) 70 E) 72
Total mark of 20 students = 64*20= <gadget id="calculator">64*20</gadget> <output>1_280</output> 1280, Total mark after the removal of 3 students= 1280 –(32 +28+34 ) = 1280 – 94 = 1186 Approximate average mark = 1186/(20-3) = 1186/ 17 = 70 ANSWER:70 <result>D</result>
D
calc
math_qa__cKU6qTBO52zd70rs
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 120 sq. feet, how many feet of fencing will be required? Choose the correct choice from the following answers A) 34 B) 40 C) 68 D) 88 E) 32
<gadget id="calculator">120 / 20</gadget> <output>6</output> <gadget id="calculator">6 * 2</gadget> <output>12</output> <gadget id="calculator">12 + 20</gadget> <output>32</output> <result>E</result>
E
calc
ape210k__00140304
Xiaohua reads a book, and after reading it for 7 days, half of the book remains. After that, I read 12 pages every day, and just finished reading in 5 days. How many pages do you read on average per day?
<gadget id="calculator">7 + 5</gadget> <output>12</output> <gadget id="calculator">2 / 12</gadget> <output>1/6 = around 0.166667</output> <gadget id="calculator">12 * 5 * (1/6)</gadget> <output>10</output> <result>10</result>
10
calc
ape210k__00068681
A rectangular flowerbed with a length of 8 meters, the length of the flowerbed is reduced by 3 meters due to road construction, so the area of the flowerbed is reduced by 15 square meters. What is the area of the garden now?
<gadget id="calculator">15 / 3</gadget> <output>5</output> <gadget id="calculator">8 - 3</gadget> <output>5</output> <gadget id="calculator">5 * 5</gadget> <output>25</output> <result>25</result>
25
calc
aqua_rat__WUmlKNixSfGT16PC
In a party every person shakes hands with every other person. If there were a total of 105 handshakes in the party then what is the number of persons present in the party ? Choose the most appropriate option. A) 15 B) 16 C) 17 D) 18 E) 19
Explanation : Let the number of persons be n ∴ total handshakes = nC2 = 105 n(n-1)/2 = 105 ∴ n = 15 15nswer : 15 <result>A</result>
A
calc
math_qa__VuemlKb6hCYOXonv
A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 5 p.m.? Choose the correct choice from the following options A) 30 min B) 35 min C) 45 min D) 40 min E) 55 min
<gadget id="calculator">3 + 5</gadget> <output>8</output> <gadget id="calculator">8 * 5</gadget> <output>40</output> <result>D</result>
D
calc
aqua_rat__P2xTpO3zUbh8ZqhE
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg? Choose the correct choice from the following answers: A) Rs.2.7 B) Rs.2.4 C) Rs.2.5 D) Rs.2.1 E) Rs.2.9
100*(20/100)= <gadget id="calculator">100*(20/100)</gadget> <output>20</output> 20 --- 10 ? --- 1=&gt; Rs.2 100 --- 80 ? --- 2 =&gt; Rs.2.5 Answer:Rs.2.5 <result>C</result>
C
calc
ape210k__01004603
Teacher Sun wants to use 80 yuan to buy some stationery as a prize for the grade sports meeting. He first bought 10 photo albums for 47.5 yuan, and plans to use the remaining money to buy some pens, each pen is 2.5 yuan, how many pens can Mr. Sun buy?
<gadget id="calculator">80 - 47.5</gadget> <output>32.5</output> <gadget id="calculator">32.5 / 2.5</gadget> <output>13</output> <result>13</result>
13
calc
ape210k__00807601
The store buys a batch of fruit, the ratio of the sold to the remaining in the morning is (2/3), and another 20 kg is sold in the afternoon. At this time, the ratio of the sold to the remaining is 9:11. How many kilograms?
<gadget id="calculator">20 * 9 * 2</gadget> <output>360</output> <gadget id="calculator">20 * 9 * 3</gadget> <output>540</output> <gadget id="calculator">20 * 11 * 2</gadget> <output>440</output> <gadget id="calculator">20 * 11 * 3</gadget> <output>660</output> <gadget id="calculator">360 + 540 + 440 + 660</gadget>...
400
calc
ape210k__00290932
The perimeter of an isosceles triangle is 70 cm, and the ratio of one side to the base is 2:3. What is the base of this isosceles triangle?
<gadget id="calculator">2 + 2 + 3</gadget> <output>7</output> <gadget id="calculator">3 / 7</gadget> <output>3/7 = around 0.428571</output> <gadget id="calculator">70 * (3/7)</gadget> <output>30</output> <result>30</result>
30
calc
ape210k__00875635
A car transports goods from place A to place B. The gas station is at (6/7) of the whole journey, and 18 kilometers away from the gas station at (1/4) of the journey back. How many miles is it from A to B?
<result>252</result>
252
calc
math_qa__JIN8wXpKLh4i4VyC
A certain school implemented a reading program for its students, with the goal of getting each student to read 7 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year? Options: A) 20 cs B) cs / 2 C) 84 cs D) ( 2 cs ) / 1...
<gadget id="calculator">7 * 12</gadget> <output>84</output> <result>C</result>
C
calc
ape210k__00492843
A and B start from the same place to the same destination at the same time. When A reaches the midpoint of the journey, B is still 600 meters away from the destination. It is known that the speed ratio of A and B is 3:2, and the starting point is far from the destination. How many meters is the ground?
<gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">1 - (1/3)</gadget> <output>2/3 = around 0.666667</output> <gadget id="calculator">600 / (2/3)</gadget> <output>900</output> <result>900</result>
900
calc
ape210k__00302859
The school has to make 4,800 colored flags, which are distributed to 25 classes on average, and each class has 4 groups. How many colored flags should each group make on average?
<gadget id="calculator">4_800 / 25 / 4</gadget> <output>48</output> <result>48</result>
48
calc
aqua_rat__J9mMmn27nytiVAmr
x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to? Pick one: A) 1/5 B) 1/8 C) 1/3 D) 1/9 E) 1/2
Given x = k/y2, where k is a constant. Now, y = 2 and x = 1 gives k = 4. x = 4/y2 =&gt; x = 4/62, when y = 6 =&gt; x = 4/36 = 1/9. Answer: 1/9 <result>D</result>
D
calc
aqua_rat__L8cNXTbUsqfltd8z
A circle has 29 points arranged in a clock wise manner from o to 28. A bug moves clockwise manner from 0 to 28. A bug moves clockwise on the circle according to following rule. If it is at a point i on the circle, it moves clockwise in 1 sec by (1 + r) places, where r is the remainder (possibly 0) when i is divided by ...
After 1st second, it moves 1 + (23/11)r = 1 + 1= <gadget id="calculator">1 + 1</gadget> <output>2</output> 2, So 25th position After 2nd second, it moves 1 + 25/11= 1 + 3= <gadget id="calculator">1 + 3</gadget> <output>4</output> 4, So 29th position= 0 After 3rd second, it moves 1 + 0/11= <gadget id="calculator...
C
calc
ape210k__00705893
A's number is 40, B's number is 30, how much less than A's number
<gadget id="calculator">40 - 30</gadget> <output>10</output> <gadget id="calculator">10 / 40</gadget> <output>1/4 = around 0.25</output> <result>1/4 = around 0.25</result>
1/4
calc
ape210k__01193989
Watson Education held a mathematics competition, with 12 questions in total, 10 points for each question answered correctly, and 5 points deducted for each wrong answer or failure to answer the question. Xiaohong finally scored 75 points. How many questions did Xiaohong answer correctly?
<gadget id="calculator">12 * 10</gadget> <output>120</output> <gadget id="calculator">120 - 75</gadget> <output>45</output> <gadget id="calculator">10 + 5</gadget> <output>15</output> <gadget id="calculator">45 / 15</gadget> <output>3</output> <gadget id="calculator">12 - 3</gadget> <output>9</output> <result>9</r...
9
calc
aqua_rat__4k61H1ZETH6zqEcj
An electric motor makes 1,400 revolutions per minutes. How many degrees does it rotate in one second? Options: A) 8.400 d/sec B) 28.000 d/sec C) 38.000 d/sec D) 26.000 d/sec E) 35.000 d/sec
1400 revolutions / minute = 1400*360 degrees / 60 seconds = 8400 degrees / second 8.400 d/sec <result>A</result>
A
calc
aqua_rat__gjD8LrDWQKiMa7gE
The area of a triangle is with base 4.5m and height 6m? Pick A) 11 m2 B) 10 m2 C) 13.5 m2 D) 19 m2 E) 12.5 m2
1/2 * 4.5 * 6= <gadget id="calculator">1/2 * 4.5 * 6</gadget> <output>13.5</output> 13.5 m2 Answer: 13.5 m2 <result>C</result>
C
calc
aqua_rat__dX2El6098MFjxXf9
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table? Choose the correct choice: A) Rs.6725 B) Rs.6729 C) Rs.6710 D) Rs.6725 E) Rs.6721
: CP = SP * (100/(100 + profit%)) = 8339(100/124) = Rs.6725. Answer: Rs.6725 <result>D</result>
D
calc
ape210k__00687591
In August 2013, Grandma Wang deposited 5,000 yuan in the bank. The deposit period is 2 years. How much money can Grandma Wang withdraw after the expiration? (The two-year annual interest rate of the whole deposit and withdrawal is 3.75%)
<gadget id="calculator">3.75 / 100</gadget> <output>0.0375</output> <gadget id="calculator">5_000 * 0.0375 * 2</gadget> <output>375</output> <gadget id="calculator">5_000 + 375</gadget> <output>5_375</output> <result>5_375</result>
5_375
calc
aqua_rat__wWGMExRpIDMkQIrY
If the speed of a man is 54 km per hour, then what is the distance traveled by him in 25 seconds ? Options A) 275m B) 360m C) 375m D) 420 m E) 440 m
The distance traveled in 25 sec = 54*(5/18) *25= <gadget id="calculator">54*(5/18) *25</gadget> <output>375</output> 375m ANSWER:375m <result>C</result>
C
calc
ape210k__00099948
The construction of a 10.8-kilometer-long road was planned to be completed in 15 days, but the task was completed 3 days ahead of schedule. How much more kilometers were actually repaired per day than planned?
<gadget id="calculator">15 - 3</gadget> <output>12</output> <gadget id="calculator">10.8 / 12</gadget> <output>0.9</output> <gadget id="calculator">10.8 / 15</gadget> <output>0.72</output> <gadget id="calculator">0.9 - 0.72</gadget> <output>0.18</output> <result>0.18</result>
0.18
calc
aqua_rat__0tkn7rrWLX3bJmiI
A car dealer has only red and yellow cars in his show room. He currently has 20% more yellow cars then red. IF he has 20 red cars, how many yellow cars does he have? Choose the most appropriate option. A) 25 B) 30 C) 35 D) 40 E) 45
Since we know the dealer only has yellow and red cars in their showroom we can conclude that red and yellow cars make up 100% of the cars. Since we know the difference between the amount of cars is 20% we can assume that the red cars make up 40% of the cars. 20/x=40/100 using cross multiplication we can find that 100...
B
calc