6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The price of a car is increased by 25%, by how much percent, must the new price of this car be decreased to restore its original price ?

A) 20%	B) 24%
C) 21%	D) 25%

Answer & Explanation Answer: A) 20%

Explanation:

Suppose that the original price of the car = Rs. x

Then new price of the car

$= x + x \times \frac{25}{100} = \frac{5}{4} x R s$

To restore the original price, the new price must be decreased by

$\frac{5}{4} x - x = \frac{x}{4} R s$

So required percentage $= \frac{\frac{x}{4}}{\frac{5}{4} x} \times 100 %$

= 20%

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 3717

Q:

How many more words can be formed by using the letters of the given word 'CREATIVITY'?

A) 851250	B) 751210
C) 362880	D) 907200

Answer & Explanation Answer: D) 907200

Explanation:

The number of letters in the given word CREATIVITY = 10

Here T & I letters are repeated

=> Number of Words that can be formed from CREATIVITY = 10!/2!x2! = 3628800/4 = 907200

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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8 3716

Q:

Find the odd word/letters/number from the given alternatives.

(A) Barbarous

(B) Uncivilized

(C) Gentle

(D) Wild

A) A	B) B
C) C	D) D

Answer & Explanation Answer: C) C

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 3710

Q:

If $a_{n} = \frac{1}{n + 1} + 1$ then find the value of $a_{1} + a_{3} + a_{5}$ .

A) 17/12	B) 27/12
C) 37/12	D) 47/12

Answer & Explanation Answer: D) 47/12

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 3701

Q:

The average of two numbers is 10 and the product of two numbers is 96. Find the two numbers.

A) 3, 32	B) 12, 8
C) 1, 96	D) 24, 4

Answer & Explanation Answer: B) 12, 8

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

0 3699

Q:

Solve the following:

$\frac{1}{1 + sinθ} + \frac{1}{1 - sinθ} = ?$

A) 2cos2θ	B) 1
C) 0	D) 2sec2θ

Answer & Explanation Answer: D) 2sec2θ

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 3699

Q:

A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ?

A) 88572	B) 77854
C) 99584	D) 55654

Answer & Explanation Answer: A) 88572

Explanation:

Given a secret is told to 3 persons in 3 minutes.
And if the process continues with each person saying 3 other persons,
In 30 minutes => the rocess for 10 times because each person time is 3 minutes.
Required number of persons = $3 + 3^{2} + 3^{3} + . . . . + 3^{9} + 3^{10}$

Now it forms a geometric progression,

Sum to n terms is $S = \frac{a (r^{n} - 1)}{r - 1}$

Here a = 3, r = 3

=> 59048 x 3 /2

= 88572.

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Filed Under: Simplification
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5 3698

Q:

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A) 40 sec	B) 47 sec
C) 33 sec	D) None of these

Answer & Explanation Answer: C) 33 sec

Explanation:

B runs 35 m in 7 sec.

B covers 200 m in (7/35*200) = 40sec

B's time over the course = 40 sec.

A's time over the course (40 - 7) sec = 33 sec.

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Filed Under: Races and Games

2 3695

Quantitative Aptitude - Arithmetic Ability Questions

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