mathewhe/aqua_rat huggingface dataset:
Question: Birbal is a witty trader who trade of a mystical fruit grown far in north. He travels from one place to another with three sacks which can hold 30 fruits each. None of the sack can hold more than 30 fruits. On his way, he has to pass through thirty check points and at each check point, he has to give one fruit for each sack to the authorities.
How many mystical fruits remain after he goes through all the thirty check points?
(A) 25 Fruits
(B) 20 Fruits
(C) 23 Fruits
(D) 21 Fruits
(E) 27 Fr5uits
Rationale: A
25 Fruits
Remember we told you that Birbal is a witty trader. So his sole motive is to get rid of the sacks as fast as he can.
For the first sack:
He must be able to fill fruits from one sack to other two sacks. Assume that he is able to do that after M check points. Now to find M,
(Space in first sack) M + (Space in second sack) M = (Remaining fruits in Third Sack) 30 – M
M = 10
Thus after 10 checkpoints, Birbal will be left with only 2 sacks containing 30 fruits each.
Now he must get rid of the second sack.
For that, he must fill the fruits from second sack to the first sack. Assume that he manages to do that after N checkpoints.
(Space in First Sack) N = (Remaining fruits in second sack) 30 – N
N = 15
Thus after he has crossed 25 checkpoints, he will be left be one sack with 30 fruits in it. He has to pass five more checkpoints where he will have to give five fruits and he will be left with twenty five fruits once he has crossed all thirty check points.
Answer: (A) 25 Fruits
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,876,397 minutes earlier? (Assume standard time in one location.)
(A) 6:30
(B) 6:25
(C) 6:17
(D) 6:12
(E) 6:08
Rationale: 6:27 minus 2,876,397 in any way must end with 0.
The only answer choice which ends with 0 is A.
The answer is A.
Answer: (A) 6:30
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
(A) 50 km
(B) 16 km
(C) 18 km
(D) 29 km
(E) 19 km
Rationale: Let the actual distance traveled be x km. Then,
x/10 = (x + 20)/14
4x - 200 =>x = 50 km.
Answer:a
Answer: (A) 50 km
Question: Which of the following is not a leap year?
(A) 700
(B) 800
(C) 900
(D) 1000
(E) 1200
Rationale: The century divisible by 400 is a leap year.
The year 700 is not a leap year.
Answer: Option A
Answer: (A) 700
Question: Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 144 seconds. The length of each train is:
(A) 82m
(B) 150m
(C) 172m
(D) 200m
(E) None of these
Rationale: Explanation:
The relative speed of train is 46-36 = 10 Km/hr = (10 X 5) / 18 = 25/9 m/s10×518=259m/s
In 144 secs the total distance traveled is 144x25/9 = 400 m.
Therefore the length of each train is = 400/2 = 200 m.
Answer D
Answer: (D) 200m
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
(A) 8/41
(B) 9/31
(C) 9/42
(D) 7/31
(E) 9/41
Rationale: The probability that first toy shows the even number,
=1021=1021
Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.
Hence, probability that second toy shows the even number,
=920=920
Required probability,
=(1021)×(920)=(1021)×(920)
=9/42
C
Answer: (C) 9/42
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
(A) 33 1/8%
(B) 33 1/2%
(C) 33 1/3%
(D) 33 6/3%
(E) 32 1/3%
Rationale: 675 ---- 225
100 ---- ? => 33 1/3%
Answer:C
Answer: (C) 33 1/3%
Question: Simplify: 5793405 x 9999
(A) 57925286595
(B) 57928256595
(C) 57989252865
(D) 57568226348
(E) None of them
Rationale: 5793405 x 9999=5793405(10000-1)
=57934050000-5793405
=57928256595.
Answer is B
Answer: (B) 57928256595
Question: A man buys a cycle for Rs. 1600 and sells it at a loss of 12%. What is the selling price of the cycle?
(A) 1410
(B) 1420
(C) 1430
(D) 1408
(E) 1540
Rationale: S.P. = 88% of Rs. 1600 = 88/100 x1600= Rs. 1408
answer : D
Answer: (D) 1408
Question: Angela, Bernie, and Colleen can complete a job, all working together, in 3 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 4 hours. How long would it take Colleen, working alone, to complete the entire job?
(A) 8 hours
(B) 10 hours
(C) 12 hours
(D) 16 hours
(E) 20 hours
Rationale: A+B+C complete the job in 3 hours.
A+B complete the job in 4 hours.
A+B and C complete the job in 3 hours -->1/(A+B) + 1/C = 1/3-->1/4+1/C=1/3 ----> C=12 hours. ANS C
Answer: (C) 12 hours
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
(A) 24.5
(B) 28.5
(C) 30
(D) Data inadequate
(E) None of these
Rationale: Explanation:
Let C.P. be Rs. 100.
Then, S.P. = Rs. 123.50
Let marked price be Rs. x. Then, 95/100 x = 123.50
x = 12350/95 = Rs. 130
Now, S.P. = Rs. 130, C.P. = Rs. 100
Profit % = 30%.
ANSWER IS C
Answer: (C) 30
Question: The average number of shirts with Salman, Ambani and Dalmiya is 40, if all of them reached a shopping mall in Delhi and purchased 8 shirts each of them then average number of shirt each of them now has
(A) 66
(B) 63
(C) 48
(D) can't be determined
(E) None of these
Rationale: Answer
Required average
= Old average + New average
= 40 + 8 = 48
Correct Option: C
Answer: (C) 48
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 50 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
(A) 17 1/4 min
(B) 28 1/7 min
(C) 17 1/7 min
(D) 17 1/8 min
(E) 15 15/19 min
Rationale: 1/20 + 1/30 - 1/50 = 19/300
300/19 = 15 15/19
Answer:E
Answer: (E) 15 15/19 min
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
(A) 1/7 km
(B) 3/5 km
(C) 5/5 km
(D) 4/4 km
(E) 4/5 km
Rationale: E
4/5 km
x/3 – x/4 = 4/60
x = 4/5 km
Answer: (E) 4/5 km
Question: A positive whole number has factors of 2 and 4. The number MUST be divisible by: I. 16 II. 8 III. 4
(A) I & II
(B) II & III
(C) III
(D) I
(E) II
Rationale: 4 , 8 is not divisible by 16.But 16 is divisible by 2,4,8
So answer is I
Answer : D
Answer: (D) I
Question: What is the probability of a/b will be an integer when a=2x3y and b=2l3m and all of x, y, I, m are positive integers?
(A) 1/6
(B) 2/3
(C) 1/2
(D) 1/4
(E) 3/4
Rationale: There r 4 numbers to be filled i.e, x,y,l,m
out of which only one condition satisfies to get a/b as integer
ANSWER:D
Answer: (D) 1/4
Question: A Fruit Seller buys lemons at 2 for a rupee and sells them at 5 for three rupee. His profit percentage is
(A) 30%
(B) 50%
(C) 60%
(D) 20%
(E) None
Rationale: C.P of 2 Lemons= Re 1
So, C.P of 5 Lemons= 5*1/2=5/2
S.P of 5 Lemons= Rs 3
Therefore, Profit Percentage={(3-5/2)5/2}100 =20%
Answer: Option D
Answer: (D) 20%
Question: 8 3/4 + 7 2/17 - 9 1/15=?
(A) 7 719/1020
(B) 9 817/1020
(C) 9 719/1020
(D) 6 817/1020
(E) None of them
Rationale: Given sum=8+3/4+7+2/17-(9+1/15)
=(8+7-9)+(3/4+2/17-1/15)
=6+(765+120-68/1020
=6 817/1020
Answer is D
Answer: (D) 6 817/1020
Question: A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 32 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up
(A) 6 2/3
(B) 15
(C) 20
(D) 25
(E) 35
Rationale: Here is how I did it:
The cyclist travels 32 miles in 60 mins, so in 5 mins he will travel [(32*5)/60] miles, which equals 8/3 miles in 5 mins.
Now the hiker travels 4 miles in 60 mins. To travel 8/3 miles, he will take [(60*8/3)/4] = 40 mins.
Hence 40-5 = 35 mins
E
Answer: (E) 35
Question: 10^(600) Ã· 10^(580) = ?
(A) 10^10
(B) 10^20
(C) 10^22
(D) 10^23
(E) 10^24
Rationale: 10^(600) Ã· 10^(580) = 10^ (600-580) = 10^20
Answer : B
Answer: (B) 10^20
Question: What decimal fraction is 30 ml of a litre ?
(A) .3
(B) .0003
(C) .003
(D) 0.03
(E) None of these
Rationale: Answer
Required fraction = 30/1000
= 3/100
= .03
Correct Option: D
Answer: (D) 0.03
Question: Simplify: 896 x 896 - 204 x 204
(A) 761200
(B) 761400
(C) 761800
(D) 761500
(E) None of them
Rationale: (896)^2 - (204)^2 = (896 + 204) (896 - 204) = 1100 x 692 = 761200.
Answer is A.
Answer: (A) 761200
Question: The sum of digits of a two digit number is 10,The difference between the digits is 6. Find the number
(A) 85
(B) 94
(C) 82
(D) 72
(E) None
Rationale: Description :
=> x+y=10, x-y=6
Adding these 2x =16
=> x=8, y=2.
Thus the number is 82
Answer C
Answer: (C) 82
Question: In a certain supermarket, a triangular display of cans is arranged in 10 rows, numbered 1 through 10 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 150 cans in the entire display, how many cans are in the fifth row?
(A) 10
(B) 11
(C) 13
(D) 14
(E) 16
Rationale: Let x be the number of cans in row 1.
The total number of cans is x + (x+3) + ... + (x+27) =
10x + 3(1+2+...+9) =
10x + 3(9)(10)/2 =
10x + 135
Since the total is less than 150, x must equal 1.
The number of cans in the 5th row is 1 + 3(4) = 13
The answer is C.
Answer: (C) 13
Question: Consider a right triangle EBC with length of sides being x,y and z where y represents the hypotenuse , Which of these represent the radius of the circle which is inscribed in triangle EBC
(A) [A] x+y+z/3
(B) [B] x-y+z/3
(C) [C] x-y+z/2
(D) [D] (x^2 + y^2 + z^2)/3
(E) [E] cannot be determined
Rationale: Radius of a circle inscribed in the right triangle EBC r = (x + z - y)/2 where y is the hypotenuse and x and y are other two sides.
Answer: C
Answer: (C) [C] x-y+z/2
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 6m/h. what is the speedof the person while he was going to his office?
(A) 4km/h
(B) 9km/h
(C) 10km/h
(D) 11km/h
(E) 13km/h
Rationale: u = k , v= 3k
{2uv}{u+v}/2uv
\frac{2\times k\times 3k}{(k+3k)}=6
1.5k = 6
k=4km/h
A
Answer: (A) 4km/h
Question: Two trains, A and B, started simultaneously from opposite ends of a 75-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 75-mile trip in 3 hours; Train B, traveling at a constant rate, completed the 75-mile trip in 2 hours. How many miles had train A traveled when it met train B?
(A)  20
(B)  22.5
(C)  30
(D)  37.5
(E)  45
Rationale: As the ratio of the rates of A and B is 2 to 3 then the distance covered at the time of the meeting (so after traveling the same time interval) would also be in that ratio, which means that X would cover 2/(2+3)=2/5 of 75 miles: 75*2/5=30 miles.
Answer: C.
Answer: (C)  30
Question: A certain auto manufacturer sold 5% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
(A) 63,000
(B) 2,000,000
(C) 2,030,000
(D) 2,040,000
(E) 2,300,000
Rationale: Let's assume in 2006 the manufacturer sold X.
In 2007 he sold X-5/100(X)
If sales in 2006,X= 2.1 million find X-5/100(X)
(2.1 x 10^6)-5/100(2.1 x 10^6)
2100000-105000=1,995,000-----> 2,000,000(approx)
ANSWER:B
Answer: (B) 2,000,000
Question: The ratio of the present ages of Giri and Hari is 5:8. 12 years hence, the ratio of their ages will be 11:14. Find the difference in their present ages?
(A) 7
(B) 6
(C) 9
(D) 2
(E) 5
Rationale: Let the present ages of Giri and Hari be 5x and 8x years respectively.
(5x + 12)/(8x + 12) = 11/14
70x + 168 = 88x + 132 => x = 2
Difference in their ages will be the same at all times.
This difference = Difference of their present ages
=> 8x - 5x = 3x => 6 years
Answer: B
Answer: (B) 6
Question: How many times are the hands of a clock at right angle in a day?
(A) 22
(B) 44
(C) 48
(D) 50
(E) 52
Rationale: IN 12 HR RIGHT ANGLES = 22
IN 24 HRS RIGHT ANGLES = 44 times
ANSWER B
Answer: (B) 44
Question: Gold is 10 times as heavy as water and copper is 6 times as heavy as water. In what ratio should these be mixed to get an alloy 8 times as heavy as water?
(A) 3:2
(B) 1:1
(C) 3:1
(D) 5:2
(E) 4:3
Rationale: G = 10W
C = 6W
Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy
1gm gold + x gm copper = x+1 gm of alloy
10W+6Wx = x+1 * 8W
10+6x = 8(x+1)
x = 1/1
Ratio of gold with copper = 1:1 = 1:1
Answer is B
Answer: (B) 1:1
Question: Which of the following data sets has the smallest standard deviation?
(A)  {1, 2, 3, 4, 5}
(B)  {2, 3, 3, 3, 4}
(C)  {2, 2, 2, 4, 5}
(D)  {0, 2, 3, 4, 6}
(E)  {-1, 1, 3, 5, 7}
Rationale: since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..
The SIMILARITY is - the SUM of all sets is equal =15..
and hence average = 15/5 = 3...
Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVERAGE..
clearly E has a range of 7-(-1) or 8, and has the highest standard deviation..
Next is D, which has a range of 6-0 or 6..
and {2, 3, 3, 3, 4} has smallest standard of deviation.
ans B
Answer: (B)  {2, 3, 3, 3, 4}
Question: A store owner estimates that the average price of type A products will increase by 20% next year and that the price of type B products will increase by 11% next year. This year, the total amount paid for type A products was $3500 and the total price paid for type B products was $8600. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
(A) $13,746
(B) $15,325
(C) $16,000
(D) $16,225
(E) $17,155
Rationale: cost of type A products next year = 1.20 * 3500 = 4200
cost of type B products next year = 1.11 * 8300 = 9546
total 4200 +9546 = 13746
ANSWER:A
Answer: (A) $13,746
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
(A) 15
(B) 10
(C) 12
(D) 17
(E) 14
Rationale: 4/12 + x/15 = 1
x = 10
Answer:B
Answer: (B) 10
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336,528,1320,660
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: Explanation:
A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.
Clearly, 968 is not divisible by 3. None of 462 and 2178 is divisible by 4.
Also, 5184 is not divisible by 11.
Each one of remaining 7 is divisible by each one of 11, 3 and 4 and therefore, by 132.
Answer: D
Answer: (D) 7
Question: Two trains of equal are running on parallel lines in the same direction at 44 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
(A) 40
(B) 88
(C) 66
(D) 55
(E) 22
Rationale: Let the length of each train be x m.
Then, distance covered = 2x m.
Relative speed = 44 - 36 = 8 km/hr.
= 8 * 5/18 = 20/9 m/sec.
2x/36 = 20/9 => x = 40.
Answer:A
Answer: (A) 40
Question: What is the unit digit in (4137)754?
(A) 6
(B) 5
(C) 9
(D) 13
(E) 15
Rationale: Explanation:
Unit digit in (4137)754 = Unit digit in {[(4137)4]188 x (4137)2}
=Unit digit in { 292915317923361 x 17114769 }
= (1 x 9) = 9
C
Answer: (C) 9
Question: A husband wants to share of x% of his savings of total $10,0000 to his wife. After home expenses, the husband reduce this amount by (x − 9)%. In terms of x, how much $ amount will the wife get?
(A) x*x – 9x
(B) (x)(1009 – x)
(C) (1000)(1009 – x)
(D) (1000)(91– x)
(E) (x-9)/1000
Rationale: Based on the answer choices and the question, this question begs the use of x=9 as a sample number.
Initial = 9%*100000 = 9000
Reduction = 9-9=0%, so no math required here to calculate the reduction; just make sure that you can calculate 9000 in your answer.
A. x*x – 9x = 0; No
B. (x)(1009 – x) = 9000; Winner!
C. (1000)(1009 – x) > 9000; No
D. (1000)(91 – x) > 9000; No
E. (x-9)/1000 = 0; No
B
Answer: (B) (x)(1009 – x)
Question: Find the missing figures :
?% of 70 = 2.125
(A) 3.04
(B) 6.05
(C) 8.7
(D) 7.7
(E) 4.05
Rationale: (i)	Let x% of 70= 2.125. Then , (x/100)*70 = 2.125
X = (2.125 * 100/70) = 3.04
Answer is A.
Answer: (A) 3.04
Question: What is the sum of natural numbers between 90 and 100
(A) 1045
(B) 4860
(C) 5000
(D) 5500
(E) 5550
Rationale: a = first number
l = last number
Sn = n/2[a + l]
between 90 and 100 numbers = 11 => 100 - 90 = 10 + 1 = 11
Sn = 11/2 Ã— 190 = 11 Ã— 95 = 1045
Answer : A
Answer: (A) 1045
Question: The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum.
(A) 33498
(B) 17000
(C) 2665
(D) 28876
(E) 313
Rationale: The simple interest for the first year is 10200/2 is Rs.5100 and compound interest for first year also is Rs.5100. The compound interest for second year on Rs.5100 for one year
So rate of the interest = (100 * 1530)/ (5100 * 1) = 30% p.a.
So P = (100 * 10200)/ (30 * 2) = Rs.17000
Answer:B
Answer: (B) 17000
Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
(A) 2998
(B) 2799
(C) 2890
(D) 1485
(E) 2780
Rationale: 22/7 * 14 * 3/2 * 3/2
= 99 m2
99 * 15
= 1485
Answer:D
Answer: (D) 1485
Question: The banker's discount on Rs.1800 at 12% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?
(A) 3 months
(B) 4 months
(C) 5 months
(D) 6 months
(E) 7 months
Rationale: Solution
S.I on Rs.1800 = T.D on Rs.1872.
P.W on Rs.1872 is Rs.1800.
Rs.72 is S.I on Rs. 1800 at 12%.
Time	=(100x72 / 12x1800)
= 1/3 year
= 4 months.
Answer B
Answer: (B) 4 months
Question: Which of the following is a prime number?
(A) 2
(B) 4
(C) 25
(D) 9
(E) 27
Rationale: Clearly, 2 is a prime number. Ans : A
Answer: (A) 2
Question: How many multiples of 5 are there between 50 and 500 ?
(A) 128
(B) 91
(C) 89
(D) 61
(E) 60
Rationale: It should be mentioned whether 50 and 500 are inclusive.
If 50 and 500 are inclusive, then the answer is (500-50)/5+1=91.
If 50 and 500 are NOT inclusive, then the answer is (495-55)/5+1=89.
Since OA is C, then we have NOT inclusive case.
Answer: (C) 89
Question: What is the remainder when 14,451 × 15,651 × 16,788 is divided by 5?
(A) 1
(B) 2
(C) 4
(D) 3
(E) 5
Rationale: Only the unit's digit of the product will decide the remainder when divided by 5.
Hence, 1*1*8= will give units digit as 8
So, whatever be the number, if it ends in 8, the remainder after dividing with 5 will be 3.
OptionD
Answer: (D) 3
Question: If P represents the product of the first 14 positive integers, then P is NOT a multiple of
(A) 99
(B) 84
(C) 72
(D) 65
(E) 85
Rationale: Answer is E.
Since prime factor of 85 is 5x17. 17 is a prime number and not part of the first 14 positive integers.
A) 9 x 11
B) 12 x 7
C) 12 x 6
D) 13 x 5
E) 5 x 17
Answer: (E) 85
Question: Six persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of the 7th person.
(A) 69
(B) 70
(C) 71
(D) 72
(E) 73
Rationale: Let ‘x’ be the average of 6 persons
Since there are 6 after 2 years the age will be increased by 2 for each. So 6*2=12
After two years age will be =x+12
Average age is 43
That is (x+12)/6=43
=>x=246
Let ‘y’ be the 7th person age
(x+y)/7 =45
(246+y)/7=45
y=(45*7)-246
y=69
Answer A
Answer: (A) 69
Question: 15 men and 12 boys finish a job in 11 days, 13 men and 13 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
(A) 18
(B) 17
(C) 12
(D) 11
(E) 12
Rationale: 13 M + 4 B ----- 11 days
9 M + 9 B ------- 10 days
12 M +12 B -------?
117 M + 36 B = 108 M +108 B
72 B =9 M => 1 M = 8 B
104 B + 4 B = 108 B ---- 11 days
96 B + 12 B = 108 B -----? => 11 days
Answer: D
Answer: (D) 11
Question: A grocer is storing soap boxes in cartons that measure 30 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?
(A) 360
(B) 252
(C) 280
(D) 300
(E) 420
Rationale: however the process of dividing the volume of box by the volume of a soap seems flawed but it does work in this case due to the numbers
Dimensions of the box =30*42*60
Dimensions of the soap = 5*6*7
we get = 6x6x10 = 360
so the question is why this particular arrangement, in order to maximize number of soaps we need to minimize the space wasted and this is the only config where we dont waste any space so we can expect the maximum number
the answer is (A)
Answer: (A) 360
Question: A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 210, then how much amount should C pay as his share of rent?
(A) 54
(B) 45
(C) 25
(D) 15
(E) 55
Rationale: A : B : C
=10×7:12×5:15×3
=2×7:12×1:3×3
=14:12:9
Amount that C should pay
=210×9/35=6×9=54
Answer is A
Answer: (A) 54
Question: What should come in place of the question mark (?) in the following number series?
15 19 ? 27 31
(A) 21
(B) 23
(C) 20
(D) 25
(E) None of these
Rationale: Explanation:
It increases by 4.
Answer:B
Answer: (B) 23
Question: In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 65π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
(A) 105π
(B) 130π
(C) 200π
(D) 260π
(E) 320π
Rationale: Area = πR^2, so doubling the radius results in an area that is 4 times the original area.
4(65π) = 260π
The answer is D.
Answer: (D) 260π
Question: A basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 2 full bounces.
(A) 50
(B) 55
(C) 60
(D) 75
(E) 100
Rationale: Initial distance = 40 feet
first bounce = 20 feet up + 20 feet down = 40 feet
second bouche = 10 feet up + 10 feet down = 20 feet
total distance covered = 40+40+20= 100
ANSWER IS E
Answer: (E) 100
Question: At a certain zoo, the ratio of sea horse to penguins is 5 to 11. If there are 85 more penguins than sea horses at the zoo, how many sea horses are there?
(A) 24
(B) 36
(C) 48
(D) 70
(E) 132
Rationale: 5/11 = x / x+85
5*85 = 6x
x=70
D. 70
Answer: (D) 70
Question: How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 10-percent solution?
(A) 35
(B) 33 1/3
(C) 27
(D) 16 2/3
(E) 15
Rationale: 3% of a 50 liter solution is 1.5L. So you are trying to determine how many liters must a solution be for the 1.5L to represent 10% of the solution. Set up an inequality and solve for x:
1.5/x = 1/10
x = 15
Since you need a 15L solution, you must evaporate 35 of the original 50L solution to get a 10% solution.
Answer is A.
Answer: (A) 35
Question: Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 50 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 40 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work?
(A) 20
(B) 34
(C) 38
(D) 40
(E) 46
Rationale: Nice question +1
We have that X/24 - (60-X)/2R = 40
Also X/R - (60-X)/2R = 120
So we get that 2x - 60 = 80R
3x - 60 = 240R
Get rid of R
120 = 3x
x = 46
Hence answer is E
Answer: (E) 46
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . How many feet does the squirrel travels if the post is 27 feet tall and 3 feet in circumference?
(A) 10 feet
(B) 12 feet
(C) 27 feet
(D) 15 feet
(E) 18 feet
Rationale: total circuit=27/3=9
total feet squirrel travels=9*3=27 feet
ANSWER:C
Answer: (C) 27 feet