mathewhe/aqua_rat huggingface dataset:
Question: Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?
(A) Rs. 8600
(B) Rs. 8620
(C) Rs. 8820
(D) Rs. 9820
(E) None of these
Rationale: Explanation:
Amount
= Rs.[8000 x	(1 + 5/100)2]	= Rs. 8820.
ANSWER IS C
Answer: (C) Rs. 8820
Question: You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different E ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
(A) 5
(B) 6
(C) 9
(D) 12
(E) 18
Rationale: Consider one particular arrangement of the first row: XYZ, then we can construct only two boxes with so that no rows or columns have 2 or more of the same letter:
XYZ
YZX
ZXY
And:
XYZ
ZXY
YZX
Now, the first row itself can be arranged in 3!=6 ways (since there are three distinct letter), hence the total number of boxes possible E is 2*6=12.
Answer: D.
Answer: (D) 12
Question: A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?
(A) 2%
(B) 17%
(C) 20%
(D) 65%
(E) 83%
Rationale: New Value – Old Value)/Old Value x 100
We are given:
February sales this year = 385 million
February sales last year = 320 million
We need to determine the percent increase between sales from last year to sales this year.
Thus, the new value = 385 million and the old value = 320 million. Let’s plug them into our percent change formula.
(New Value – Old Value)/Old Value x 100
[(385 – 320)/320] x 100
65/320 x 100
13/64 x 100 ≈ 13/65 x 100 ≈ 1/5 x 100 ≈ 20%.
The answer is C.
Answer: (C) 20%
Question: Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 3 feet were added to each fence, which of the following must be true?
I) X is twice as long as Y.
II) Y is 2 feet shorter than Z.
III) X is longer than Z.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
Rationale: Length of Z = z
Length of Y = z-2
Length of X = 2z-4
Minimum possible length of fence Z is 2 feet, because if we take the value for length of z below 2, lengths of Z and Y would be negative which is not possible.
If Z = 2
then Y = 0 and X = 0
When we add 3 feet in each fence, we will get
Z= 5
Y=3
X=3
Only Statement II holds true with above values.
ANSWER:B
Answer: (B) II only
Question: When Tom works alone he chops 4lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 4 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent greater than the quantifying chopped by Tom?.
(A) 125 %
(B) 100%
(C) 25%
(D) 225%
(E) 400%
Rationale: Tom chops 8 lbs in 12 minutes
Tammy chopsWhen Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent greater than the quantifying chopped by Tom?. 9 lbs in 6 minutes
So in the same amount of time, Tammy chops 125% more than Tom, since 9 is 125% greater than 4. So 125% is the answer.
Note that the actual time doesn't matter. If you multiply the time each work by x, you'll multiply the work each does by x, and 9x is still 125% greater than 4x.
Ans :A
Answer: (A) 125 %
Question: $100 is divided amongst A,B and C so that A may get 1/4 as much as B and C together, B may get 3/5 as much as A and C together, then the share of A is
(A) $15
(B) $20
(C) $25
(D) $18
(E) $30
Rationale: A:(B+C) = 1:4
A's share = 100*1/5 = $20
Answer is B
Answer: (B) $20
Question: A train 150 meters long completely crosses a 240 meters long bridge in 42 seconds. What is the speed of the train is?
(A) 32
(B) 33
(C) 88
(D) 66
(E) 09
Rationale: S = (150 + 240)/42 = 390/42 * 18/5 = 33
Answer: B
Answer: (B) 33
Question: Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
(A) 16.80 × 4.50 + 4.4
(B) 1600 ÷ 40 + 16 × 2.5
(C) 5.5 × 8.4 + 34.6
(D) 1620 ÷ 20 – 1
(E) 1856.95 – 1680.65 – 96.3
Rationale: Others equal 80 whereas (c) equals 80.8.
Answer C
Answer: (C) 5.5 × 8.4 + 34.6
Question: If a coin is flipped, the probability that the coin will land tails is 1/2. If the coin is flipped 3 times, what is the probability that it will land tails up on the first flip and not on the last 2 flips?
(A) 1/8
(B) 1/4
(C) 1/3
(D) 1/2
(E) 3/4
Rationale: (1/2) * (1/2) * (1/2) = 1/8 Answer: A
Answer: (A) 1/8
Question: A shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 5 a rupee. Find his net profit or loss percent?
(A) 34 %
(B) 33 %
(C) 20 %
(D) 35 %
(E) 30 %
Rationale: The total number of mangoes bought by the shopkeeper be 30.
If he buys 6 a rupee, his CP = 5
He selling at 5 a rupee, his SP = 6
Profit = SP - CP = 6 - 5 = 1
Profit Percent = 1/5 * 100 = 20 %
Answer:C
Answer: (C) 20 %
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
(A) 230 m
(B) 240 m
(C) 260 m
(D) 270 m
(E) 290 m
Rationale: 72 Kmph=72*5/18=20m/s
The train has to cover its length and the length of the platform
so the total distance =250+l
250+l=20*26
250+l=520
l=520-250
=270m
length of the train=270m
ANSWER:D
Answer: (D) 270 m
Question: fill in ht blank:
(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,
(b) to find the x-intercept of a line, we let ___ equal 0 and solve for ___; to find y- intercept , we let ____ equal 0 and solve for___
(A) (a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for y ; to find y- intercept , we let y equal 0 and solve for y; to find y- intercept , we let x equal 0 and solve for x
(B) (a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for x ; to find y- intercept , we let y equal 0 and solve for y
(C) (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the x-intercept of a line, we let y equal 0 and solve for x ; to find y- intercept , we let x equal 0 and solve for y
(D) (a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for y ; to find y- intercept , we let y equal 0 and solve for x
(E) none of the above
Rationale: (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the x-intercept of a line, we let y equal 0 and solve for x ; to find y- intercept , we let x equal 0 and solve for y
correct answer (C)
Answer: (C) (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the x-intercept of a line, we let y equal 0 and solve for x ; to find y- intercept , we let x equal 0 and solve for y
Question: Income and expenditure of a person are in the ratio 5:4. If the income of the person is Rs.18000, then find his savings?
(A) Rs.3600
(B) Rs.8600
(C) Rs.3630
(D) Rs.9600
(E) Rs.2600
Rationale: Let the income and the expenditure of the person be Rs.5x and Rs.4x respectively.
Income, 5x = 18000 => x = 3600
Savings = Income - expenditure = 5x - 4x = x
So, savings = Rs.3600
Answer: A
Answer: (A) Rs.3600
Question: The area of a triangle is with base 12m and height 5m?
(A) 88 m2
(B) 30 m2
(C) 66 m2
(D) 77 m2
(E) 31 m2
Rationale: 1/2 * 12 * 5 = 30 m2
Answer: B
Answer: (B) 30 m2
Question: The average score of a cricketer in 2 matches is 40 and in other 3 matches is 10. Then find the average score in all the 5 matches?
(A) 25
(B) 22
(C) 30
(D) 35
(E) 42
Rationale: Average in 5 matches = (2*40 + 3*10)/2+3 = 80+30 / 5 = 110/5 = 22
Answer is B
Answer: (B) 22
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 147, what is the difference between the ages of Patrick and Monica?
(A) 48
(B) 47
(C) 46
(D) 49
(E) 52
Rationale: let their ages are 9x,15x and 25x respectively.
difference between the ages of Patrick and Monica = 25x-9x=16x where
49x=147 or x=3
so diff in ages = 16x=16*3=48 yrs
ANSWER:A
Answer: (A) 48
Question: The roof of an apartment building is rectangular and its length is 3 times longer than its width. If the area of the roof is 768 feet squared, what is the difference between the length and the width of the roof?
(A) 32.
(B) 40.
(C) 42.
(D) 44.
(E) 46.
Rationale: Answer is A : 42
Let w be the width , so length is 3w. Therefore : w*4w = 768, solving for, w = 16 , so 3w-w = 2w = 2*16 = 32
Answer: (A) 32.
Question: In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
(A) 180
(B) 185
(C) 190
(D) 195
(E) 200
Rationale: The committee of 4 persons is to be so formed that it has at least 1 woman The different ways that we can choose to form such a committee are:
(i) lw. 3 m in t 6X5X4' x 6C3 = 4x — — 80 3X2X1
x 6c2 =42:: x 26:: = 90 (ii) 2w. 2 m in °C2 (iii) 3w. 1 m in 4C3 x 6C1 = 4 x 6 = 24 (iv) 4w in 6C4 = 1 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least one woman. = 80 + 90 + 24 + 1 = 195
D
Answer: (D) 195
Question: The unit digit in the product (124 * 812 * 816 * 467) is:
(A) 2
(B) 7
(C) 6
(D) 8
(E) 1
Rationale: Explanation:
Unit digit in the given product = Unit Digit in (4*2*6*7) = 6
ANSWER: C
Answer: (C) 6
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
(A) 21
(B) 20
(C) 24
(D) 22
(E) 23
Rationale: Let present age of the son =x years
Then, present age the man =(x+24) years
Given that, in 2 years, man's age will be twice the age of his son
⇒(x+24)+2=2(x+2)⇒x=22
Answer is D.
Answer: (D) 22
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
(A) 24
(B) 21
(C) 20
(D) 22
(E) 25
Rationale: 20 15 5
25 20 8
500 + 300 + 40 = 840/40 = 21
Answer: B
Answer: (B) 21
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.18000?
(A) 6620
(B) 2888
(C) 2776
(D) 2997
(E) 5958
Rationale: A = 18000(11/10)^3
= 23958
= 18000
----------
5958
Answer: E
Answer: (E) 5958
Question: I purchased a superb bike and like my bike my number plate is also superb.
The number plate is a five digit number plate and its water image is 78633 more than the number plate.
Also all digits are unique.
Whats is my number plate number ?
(A) 10935
(B) 10968
(C) 23984
(D) 13725
(E) 11332
Rationale: B
10968
Water image is 89601
Answer: (B) 10968
Question: Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 2.5 times the amount of the second solution?
(A) 62
(B) 65
(C) 68
(D) 70
(E) 72
Rationale: SOL:
Lets assume that 25L of sol1 was mixed with 10L of sol2.
Alcohol in Sol1: 25*3/4 = 18.75L
Alcohol in Sol2: 10*2/5 = 4L
Total Alcohol in the mixed solution of 35L = 18.75 + 4 = 22.75L
Alcohol concentration in the new sol: (22.75/35)*100 = 65%
ANSWER:B
Answer: (B) 65
Question: Which of the following is divisible by the first four positive even integer multiples of 31?
(i) 13020
(ii) 123752
(iii) 496496
(A) None
(B) iii only
(C) ii and iii only
(D) i and ii only
(E) i, ii and iii
Rationale: A positive integer x is divisible by the first four integer multiples of 31 if and only if it is divisible by their least common multiple, 3*4*31=124.
124*4=496, so (iii)=(4000+4)*124=4004*124, hence (iii) is divisible by 124.
124*(1000-2)=124000-248=123752, so (iii) is divisible by 124.
Finally, 13020-10*124=13020-12400=620=5*124, so (i) is divisible by 124.
Answer E.
Answer: (E) i, ii and iii
Question: A and B can finish a work in 12 days while A alone can do the same work in 20 days. In how many days B alone will complete the work?
(A) 76 days
(B) 30 days
(C) 98 days
(D) 31 days
(E) 22 days
Rationale: B = 1/12 – 1/20 = 2/60 = 1/30=> 30 days
Answer: B
Answer: (B) 30 days
Question: Mitali, a student of VIIIth standard, ranks eighth when put in class VIII A, ranks fifth when put in class VIII B, and ranks sixth when put in class VIII C. What will be Mitali's rank if students of all the three sections are put together?
(A) 17th
(B) 16th
(C) 15th
(D) Cannot be determined
(E) None of these
Rationale: 7+4+5=16
16 students have higher rank than her..
So answer is 17th
ANSWER:A
Answer: (A) 17th
Question: A group of people, cats, and birds has seventy legs, thirty heads, and twenty
tails. How many cats are among this group? (Assume all birds have two legs and a tail.)
(A) 0
(B) 5
(C) 10
(D) 15
(E) 20
Rationale: Write P, C, and B for the number of people, cats, and birds respectively, so that
we have
2P + 4C + 2B = 70; P + C + B = 30; C + B = 20:
Comparing the last two equations we obtain P = 10, and the rst equation simplies to
4C + 2B = 50, or 2C + B = 25. Therefore,
C = (2C + B) / (C + B) = 25 / 5 = 5:
Alternatively,
C = 1
2
2P + 4C + 2B
P + C + B
= 35 - 30 = 5:
correct answer B
Answer: (B) 5
Question: 3 men and 10 boys finish a job in 9 days, 7 men and 7 boys finish it in 8 days. 9 men and 9 boys shall finish it in how many days?
(A) 18
(B) 09
(C) 07
(D) 19
(E) 12
Rationale: 3 M + 10 B ----- 09 days
7 M + 7 B ------- 8 days
9 M + 9 B -------?
21 M + 70 B = 63 M +63 B
7 B= 42 M => 6 M = 1 B =>1 B =6 M
3 M + 60 M = 63 M ---- 9 days
9 M + 54 M = 63 M -----? => 9 days
Answer: B
Answer: (B) 09
Question: A man can row his boat with the stream at 16 km/h and against the stream in 4 km/h. The man's rate is?
(A) 1 kmph
(B) 3 kmph
(C) 6 kmph
(D) 7 kmph
(E) 5 kmph
Rationale: DS = 16
US = 4
S = ?
S = (16 - 4)/2 = 6 kmph
Answer: C
Answer: (C) 6 kmph
Question: Sam's dad is 4 times older than his son. In 22 years from now, however, he'll only be twice his son's age. How old will Sam be 22 years from now?
(A) 22 years
(B) 33 years
(C) 44 years
(D) 55 years
(E) 66 years
Rationale: At the present,
Sam's age is x.
Sam's father's age is y= 4x.
In 22 years from now,
Sam's age will be x+22.
Sam's father's age will be y+22=2 (x+22).
If we take both equations,
y=4x, and
y+22=2 (x+22),
then
y+22=4x+22=2 (x+22)
4x+22=2x+44
4x-2x=44-22
2x=22
x=11
This is, however, Sam's current age. Since the question is how old he'll be in 22 years from now, the answer 11+22=33.
ANSWER: B
Answer: (B) 33 years
Question: A(4, w^2) is the (x, y) coordinate of point located on the parabola Y = X^2 + 9. What is the value of w?
(A) 3.
(B) 4.
(C) 5.
(D) 6.
(E) 9.
Rationale: y=x^2 +9
w^2=4^2+9
w^2=25
W=5
Answer C
Answer: (C) 5.
Question: Arun, Kamal and Vinay invested Rs.8000, Rs.4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
(A) 10000 and 15000
(B) 15000 and 10000
(C) 5000 and 20000
(D) 20000 and 5000
(E) 1000 and 15000
Rationale: As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.
Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.
Hence, share of A in the total profit = 2/5x25000 = Rs.10000
Similarly, share of B in the total profit =3/5x25000 = Rs.15000 answer :A
Answer: (A) 10000 and 15000
Question: If eight persons sit in a row, then the probability that three particular persons are always together is?
(A) 1/5
(B) 1/4
(C) 1/9
(D) 1/28
(E) 3/28
Rationale: Eight persons can be arranged in a row in 8! ways.
Treat the three persons to sit together as one unit then there six persons and they can be arranged in 6! ways.
Again three persons can be arranged among them selves in 3! ways.
Favourable outcomes = 3!6!
Required probability = 3!6!/8! = 3/28
Answer:E
Answer: (E) 3/28
Question: If a(a + 6) = 7 and b(b + 6) = 7, where a ≠ b, then a + b =
(A)  −48
(B)  −6
(C)  2
(D)  46
(E)  48
Rationale: a(a + 6) = 7
=> we have a = 1 or -7
also b(b + 6) = 7
=> b = 1 or -7
given a ≠ b
1) when a =1, b= -7 and a + b = -6
1) when a = -7, b= 1 and a + b = -6
Answer choice B
Answer: (B)  −6
Question: How many positive even integers less than 100 contain digits 4 or 7?
(A) 16
(B) 17
(C) 18
(D) 19
(E) 20
Rationale: One digit numbers: 4
Two digit numbers:
4 at tens place: 40,42,44,46,48
7 at tens place: 70,72,74,76,78
4 at units place: 14,24,34,54,64,84,94 (duplicates removed)
If 7 is at units place, the number cant be even
Total:1+5+5+7= 18
Answer C
Answer: (C) 18
Question: The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $20,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?
(A)  $19,250
(B)  $18,500
(C)  $18,000
(D)  $15,850
(E)  $22,600
Rationale: total salary... 15*20k=300k
5 emp @ 20k =100k
4 emp @ 16k =64k
remaing 6 emp sal = 300k-100k-64k =136k
average=136k/6 = 22600
Ans:E
Answer: (E)  $22,600
Question: If m=9^(x−1), then in terms of m, 3^(4x−2) must be which of the following?
(A) m/3
(B) 9m
(C) 9m^2
(D) m^2/3
(E) m^2/9
Rationale: 3(4x−2)=3^2(2x−1)=9(2x−1)=9∗9(2x−2)=9∗(9(x−1))2=9m
Answer: C.
Answer: (C) 9m^2
Question: Dan's age after 18 years will be 5 times his age 6 years ago. What is the present age of Dan?
(A) 8
(B) 10
(C) 12
(D) 14
(E) 16
Rationale: Let Dan's present age be x.
x+18 = 5(x-6)
4x = 48
x = 12
The answer is C.
Answer: (C) 12
Question: Which of the following CANNOT be the least common multiple of two positive integers x and y
(A) xy
(B) x
(C) y
(D) y - x^2
(E) x + y
Rationale: The least common multiple of two positive integers cannot be less than either of them. Therefore, since y - x^2 is less than x, it cannot be the LCM of a x and y.
Answer: D
Answer: (D) y - x^2
Question: A car after covering ½ of a journey of 100 km develops engine trouble and later travels at ½ of its original speed. As a result, it arrives 2 hours late than its normal time. What is the normal speed of the car is?
(A) 287
(B) 27
(C) 28
(D) 25
(E) 28
Rationale: [50/x + 50/(x/2)] – 100/x = 2
x = 25
Answer: D
Answer: (D) 25
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 24 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
(A) 877 m
(B) 240 m
(C) 167 m
(D) 887 m
(E) 180 m
Rationale: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train
= (15 x 24)m = 360 m. Let the length of the platform be x meters. Then, (x + 360)/36 = 15
==> x + 360 = 540 ==> x
= 180 m.
Answer: E
Answer: (E) 180 m
Question: Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 14 years younger than Albert. How old is Betty?
(A) 5
(B) 7
(C) 10
(D) 15
(E) 18
Rationale: A = 2M = M+14
M = 14
A = 28
A = 4B, and so B = 7
The answer is B.
Answer: (B) 7
Question: How many words can be formed by using all letters of the word “PACKHORSE”
(A) 40320
(B) 44000
(C) 42340
(D) 56000
(E) 14000
Rationale: The word PACKHORSE contains 8 different letters.
Required number of words = 8p8 = 8! = (8x7x6x5x4x3x2x1) = 40320.
Answer A.
Answer: (A) 40320
Question: If y is the smallest positive integer such that 3,675 multiplied by y is the square of an integer, then y must be
(A) 2
(B) 5
(C) 6
(D) 7
(E) 12
Rationale: i just tried plugging in the numbers and found out that
12*3675 = 44, 100, which is a square of 210
E
Answer: (E) 12
Question: The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is
(A) 165 runs
(B) 170 runs
(C) 172 runs
(D) 174 runs
(E) None
Rationale: Solution
Let the highest score be x. Then, lowest score =(x-172)
= [(50 x 40)-(x+(x-172)]
= 38 x 48
2x= 2000+172-1824
2x=348
x= 174.
Answer D
Answer: (D) 174 runs
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.1015. Find the cost of each ice-cream cup?
(A) 34
(B) 76
(C) 29
(D) 12
(E) 20
Rationale: Explanation:
Let the cost of each ice-cream cup be Rs.x
16(6) + 5(45) + 7(70) + 6(x) = 1015
96 + 225 + 490 + 6x = 1015
6x = 204 => x = 34.
Answer:A
Answer: (A) 34
Question: A river 2m deep and 45 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
(A) 6000 M3
(B) 4580 M3
(C) 18500 M3
(D) 4900 M3
(E) 4700 M3
Rationale: Explanation:
(4000 * 2 * 45)/60 = 6000 M3
Answer: Option A
Answer: (A) 6000 M3
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 6:30 am. They shall first cross each other at ?
(A) 7:15 am
(B) 7:30 am
(C) 6: 42 am
(D) 7:50 am
(E) 7:60 am
Rationale: Explanation:
Relative speed between two = 6-1 = 5 round per hour
They will cross when one round will complete with relative speed,
which is 1/5 hour = 12 mins.
So 6:30 + 12 mins = 6:42
Option C
Answer: (C) 6: 42 am
Question: At what rate percent on simple interest will Rs.750 amount to Rs.950 in 5 years?
(A) 3.33%
(B) 5.93%
(C) 4.33%
(D) 5.33%
(E) 6.33%
Rationale: 200 = (750*5*R)/100
R = 5.33%
ANSWER:D
Answer: (D) 5.33%
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
(A) Rs.3250
(B) Rs.6250
(C) Rs.10250
(D) Rs.11750
(E) Rs.12000
Rationale: 200 + 130 = 330
800 - 330 = 470
200 ---- 5000
470 ---- ? => 11750
ANSWER:A
Answer: (A) Rs.3250
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank in gallons is?
(A) 100
(B) 110
(C) 120
(D) 140
(E) 150
Rationale: Let the total time taken by both the pipes be 120 minutes to fill the tank.
Therefore, the number of gallons filled by both the tanks in one minute = (6 + 5) = 11 gallons.
At the same time a waste pipe is also opened which can empty 3 gallons per minute.
Hence, the number of gallons filled in one minute = (11 - 3) = 8 gallons.
Therefore, the number of gallons filled when all the three pipes are opened for 15 minutes = 8 x 15 = 120 gallons.
ANSWER:C
Answer: (C) 120
Question: Which number is the odd one out?
159
248
951
357
122
582
(A) 951
(B) 246
(C) 325
(D) 147
(E) 852
Rationale: A
951
In the rest there is the same difference between each digit, eg: 9(Ã¢â‚¬â€œ4) 5 (Ã¢â‚¬â€œ4)1
Answer: (A) 951
Question: 150 college students were asked in a survey if they preferred Windows or Mac brand computers. 40 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 40 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
(A) 25
(B) 40
(C) 70
(D) 60
(E) 75
Rationale: 150 = 40(Mac) + x(Window) + 40(both) => x=70
ANSWER:C
Answer: (C) 70
Question: In one year, the population, of a village increased by 20% and in the next year, it decreased by 20%. If at the end of 2nd year, the population was 9600, what was it in the beginning?
(A) 10000
(B) 8000
(C) 1988
(D) 1277
(E) 2081
Rationale: x*120/100 * 80/100 = 9600
X*0.96=9600
X=9600/0.96
=> 10000
Answer:A
Answer: (A) 10000