6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high.

A) 14m	B) 15m
C) 16m	D) 17m

Answer & Explanation Answer: D) 17m

Explanation:

Length of longest pole = Length of the diagonal of the room

$[\sqrt{12^{2} + 8^{2} + 9^{2}}] = \sqrt{289} = 17 m$

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Filed Under: Volume and Surface Area

35 23263

Q:

The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class ?

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

Answer & Explanation Answer: B) 2:3

Explanation:

Let number of boys = x , Let number of girls = y
Total numbers of students = x + y
(x + y) × 15.8 = 16.4x + 15.4y
0.6x = 0.4y
x/y = 0.4/0.6 = 2/3

Ratio of boys and girls in the class is 2:3

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Filed Under: Problems on Ages
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

35 23250

Q:

What is the measure of an interior angle of a regular polygon of 8 sides?

A) 140	B) 144
C) 135	D) 150

Answer & Explanation Answer: C) 135

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 23243

Q:

If Aug 15th,2012 falls on Thursday then June 11th,2013 falls on which day ?

A) Wednesday	B) Saturday
C) Monday	D) Tuesday

Answer & Explanation Answer: A) Wednesday

Explanation:

First,we count the number of odd days for the left over days in the given period.

Here,given period is 15.8.2012 to 11.6.2013

Aug Sept Oct Nov Dec Jan Feb Mar Apr May Jun

16 30 31 30 31 31 28 31 30 31 11(left days)

2 + 2 + 3 + 2 + 3 + 3 + 0 + 3 + 2 + 3 + 4 (odd days) = 6 odd days

So,given day Thursday + 6 = Wednesday is the required result.

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Filed Under: Calendar

173 23233

Q:

How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.

A) 720	B) 576
C) 567	D) 625

Answer & Explanation Answer: B) 576

Explanation:

There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants.

There are 4 odd places and 3 even places. 3 vowels can occupy 4 odd places in $4 P_{3}$ ways and 4 constants can be arranged in $4 P_{4}$ ways.

Number of words = $4 P_{3}$ x $4 P_{4}$ = 24 x 24 = 576

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Filed Under: Permutations and Combinations

18 23229

Q:

The median of the numbers 3, 1, 1 5, 2 and 7 is

A) 3.5	B) 2.5
C) 2	D) 3

Answer & Explanation Answer: B) 2.5

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

1 23177

Q:

The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, find its height

A) 6	B) 7
C) 8	D) 9

Answer & Explanation Answer: A) 6

Explanation:

Let the height of the parallelogram be x. cm. Then, base = (2x) cm.

$2 x \times x = 72 = > 2 x^{2} = 72 = > x = 6$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

32 23158

Q:

A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 20 days and C alone in 60 days ,then B alone could do it in:

A) 20days	B) 40 days
C) 50 days	D) 60 days

Answer & Explanation Answer: D) 60 days

Explanation:

(A+B)'s 1 day's work=1/20

C's 1 day work=1/60

(A+B+C)'s 1 day's work= 1/20 + 1/60 = 1/15

Also A's 1 day's work =(B+C)'s 1 day's work

Therefore, we get: 2 x (A's 1 day 's work)=1/15

=>A's 1 day's work=1/30

Therefore, B's 1 day's work= 1/20 - 1/30 = 1/60

So, B alone could do the work in 60 days.

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Filed Under: Time and Work

88 23141

Quantitative Aptitude - Arithmetic Ability Questions

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