6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-third as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is ?

A) 1:2	B) 1:3
C) 3:1	D) 1:9

Answer & Explanation Answer: A) 1:2

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

10 3703

Q:

Out of seven consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

A) 25200	B) 25000
C) 25225	D) 24752

Answer & Explanation Answer: A) 25200

Explanation:

Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) =( $C_{3}^{7} \times C_{2}^{4}$ ) = 210.

Number of groups, each having 3 consonants and 2 vowels =210

Each group contains 5 letters.

Number of ways of arranging 5 letters among themselves = 5! = 120.

Required number of words = (210 x 120) = 25200.

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

8 3701

Q:

The periodic interest rate corresponding to: 9.75% compounded semiannually

A) 4.875	B) 3.785
C) 4.865	D) 4.975

Answer & Explanation Answer: A) 4.875

Explanation:

i=j/m

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

2 3699

Q:

A takes 24 day in completing a work alone. Time taken by A in completing 1/3rd of the work is equal to the time taken by B in completing half of the work. How many days will be taken in completing the work if both A & B start working together?

A) 21/3 days	B) 48 days
C) 40 days	D) 48/5 days

Answer & Explanation Answer: D) 48/5 days

Explanation:

Ans.
Time taken by A to complete a work alone - 24 days
Time taken by A in completing 1/3 of work = 24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A & B start working together?
16*24 / 40 = 48/5 Days

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , GATE

2 3698

Q:

Which of the following relation is CORRECT?

I. (√15 + √7) < (2√22)

II. (√17 + √5) < (√20 + √2)

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: A) Only I

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

0 3696

Q:

Find the time to double your investment at 6%

A) 10years	B) 11years
C) 12years	D) 13years

Answer & Explanation Answer: C) 12years

Explanation:

M=p(1+i)^n

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

1 3696

Q:

Rs. 2018 are to be divided among P, Q and R in such a way that if P gets Rs. 5 then Q must get Rs. 12 and if Q gets Rs. 4 then R must get Rs. 5.50. The share of R will exceed that of Q by

A) Rs. 127	B) Rs. 271
C) Rs. 721	D) Rs. 217

Answer & Explanation Answer: B) Rs. 271

Explanation:

ATQ,

P : Q = 5 : 12 = 10 : 24

Q : R = 4 : 5.5 = 24 : 33

P:Q:R = 10 : 24 : 33

Sum of the ratios = 10 + 24 + 33 = 67

Difference between the share of R & Q

= (33-24/67 x 2018)

= 9/67 x 2018

= Rs. 271.

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

9 3692

Q:

Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30 deg, and the angle of elevation to the top of the tower at C is 45 deg. What is the ratio of the height of towers at B and C?

A) 1:√3	B) 1:3
C) 1:2	D) 1:2√3

Answer & Explanation Answer: B) 1:3

Explanation:

Let the side of regular hexagon be ‘a’

Let height of the tower 1 be h1 and tower 2 be h2

Height of tower 1 = h1 = (distance between A and B)* (tan 30o)= a.1/√3

Distance between A and C = 2*√3.a/2= √3a

Height of tower 2 = h2 = (distance between A and C)* (tan 45o) = √3a.1 = √3a

Quantitative Aptitude - Arithmetic Ability Questions

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