Aptitude and Reasoning Questions

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 3705
Q:

How many lines of symmetry does a Pentagon have?

A) 4 B) 5
C) 6 D) 0
 
Answer & Explanation Answer: B) 5

Explanation:

A regular Pentagon have 5 sides and 5 lines of symmetry. 

  • The number of lines of symmetry in a regular polygon is equal to the number of sides.
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Filed Under: Analytical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

15 3705
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) =( C37×C24 ) = 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 3705
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 3703
Q:

Between two book-ends in your study are displayed your four favourite love story books. If you decide to arrange the four books in every possible combination and moved just one book every minute, how long would it take you ?

A) 54 minutes B) 32 minutes
C) 48 minutes D) 24 minutes
 
Answer & Explanation Answer: C) 48 minutes

Explanation:

Possible arrangements for 4 books are 4x3x2x1 = 24
For making a new arrangement, two books are required to be moved.
One book takes one minute, then for 2 books
So total 24 x 2 = 48 mins.

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Filed Under: Logic
Exam Prep: Bank Exams
Job Role: Bank Clerk , Bank PO

4 3702
Q:

Choose the word which is least like the others word in a group?

A) Lima B) Algiers
C) New York D) Tokyo
 
Answer & Explanation Answer: C) New York

Explanation:

All except New York are capital cities

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Filed Under: Classification

19 3702
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 3700
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

Ratio of height of towers at B and C respectively =a/√3/√3a = 1/3.

 

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Filed Under: Simplification
Exam Prep: Bank Exams

3 3698