6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?

A) 1:7	B) 7:1
C) 2:3	D) 3:2

Answer & Explanation Answer: A) 1:7

Explanation:

Let the speed of the trains be x and y respectively
length of train1 = 47x
length of train2 = 31y
Relative speed= x + y
Time taken to cross each other = 33 s
=> $\frac{47 x + 31 y}{x + y}$ = 33
=> (47x + 31 y) = 33(x + y)
=> 14x = 2y
=> x/y = 2/14 = 1/7

= 1:7

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Filed Under: Time and Distance
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4 4057

Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit % ?

A) 22.5%	B) 25%
C) 20%	D) 33.33%

Answer & Explanation Answer: B) 25%

Explanation:

As water costs free, water sold at cost price of milk gives the profit.

Required profit % = 5/20 x 100 = 5 x 5 = 25%.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT
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19 4056

Q:

What is the Formula for Volume?

Answer

The formula to find the volume is given by just multiplying Length, Breadth and Height of that object.

Thus, V = L x B X H

Volume Formulae :

1. Volume of Cube of side 's' = s x s x s = $s^{3}$ cubic units.

2. Volume of Cylinder = ${πR}^{2} h$ cubic units.

[Where R is Radius and h is height]

Workspace

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Subject: Volume and Surface Area Exam Prep: CAT , Bank Exams , AIEEE
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13 4050

Q:

Odd man out of the series - 15, 19, 27, 38, 55, 75?

A) 27	B) 38
C) 55	D) 75

Answer & Explanation Answer: B) 38

Explanation:

The given series is 15, 19, 27, 38, 55, 75

15

15 + 4 = 19

19 + 8 = 27

27 + 12 = 39

39 + 16 = 55

55 + 20 = 75

Hence, the odd number in the given series is 38.

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Filed Under: Odd Man Out
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5 4049

Q:

A man invested an amount at the rate of 10% p.a. on compound interest and after two years he again invested half of the initial amount. If man got Rs. 457.2 Rs. as interest after three years, find the amount received by man after three years, if he invested same amount on simple interest at rate of 15% p.a.?

A) 1740 Rs.	B) 1760 Rs.
C) 1720 Rs.	D) 1780 Rs.

Answer & Explanation Answer: A) 1740 Rs.

Explanation:

Let man invested Rs. A And, after two years amount invested = (A +

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT

25 4048

Q:

The difference between present ages of Ravali and Swarna is 9 years. After 7 years, Ravali’s age is twice of Swarna’s age. What will be Ravali’s age after 4 years?

A) 15 yrs	B) 16 yrs
C) 20 yrs	D) 21 yrs

Answer & Explanation Answer: A) 15 yrs

Explanation:

Let the present age of Ravali = x

=> Swarna's present age = x - 9

From the given data,

x + 7 = 2(x - 9 + 7)

=> x = 11 yrs

Required Ravali's age after 4 years = 11 + 4 = 15 yrs.

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Filed Under: Problems on Ages
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7 4046

Q:

A loan of $15 000 is taken out. If the interest rate on the loan is 7%, how much interest is due and what is the amount repaid if the loan is due in seven months

A) 15612.50	B) 14612.50
C) 13612.50	D) 17612.50

Answer & Explanation Answer: A) 15612.50

Explanation:

We have P = 15 000, r = 0.07 and since the actual date the loan was taken out
is not given, we use t =7/12

I = Prt=$15 000* 0.07* 7/12 = $612.50

Amount repaid = Future or accumulated value,

S = P + I = $15 000 + $612.50 = $15 612.50

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

2 4043

Q:

Townbank offers a term deposit account paying investors 12.5% p.a. simple interest on investments over $100 000 for 2 years or more. Peta decides to invest $150 000 in this account for 2 years. How much interest will Peta earn at the end of the investment?

A) 57500	B) 47500
C) 37500	D) 67500

Quantitative Aptitude - Arithmetic Ability Questions

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