Aptitude and Reasoning Questions

Q:

Which of the Phrases (1), (2), (3) and (4) given below should replace the phrases printed in bold in the sentence to make it grammatically correct. 

 

They claim that their employees are highly committing and disciplined.

A) Have been highly committed B) Have high commitments
C) Are highly committed D) No correction required
 
Answer & Explanation Answer: C) Are highly committed

Explanation:

As per the rule of adverb, the adverb is followed by the third form of verb.

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Q:

A group of five persons is formed from five boys and four girls. Find the probability that there are at least two girls in the group?

A) 110/129 B) 5/6
C) 121/126 D) 3/7
 
Answer & Explanation Answer: A) 110/129

Explanation:

Total number of possible ways = 

9C5 = 9 x 8 x 7 x 6 x 55 x 4 x 3 x 2 x 1 = 126

Number of favorable cases = 

4C2 x 5C3 + 4C3 x 5C2 + 4C4 x 5C14 x 32 x 1 x 5 x 4 x 33 x 2 x 1 + 4 x 3 x 23 x 2 x 1 x 5 x 4 2 x 1 + 1 x 5= 6 x 10 + 4 x 10 + 5= 60 + 40 + 5= 105

 

Therefore, required probability = 105/126 = 5/6

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Q:

Find the number of triangles in the given figure.

A) 8 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: B) 10

Explanation:

  

The simplest triangles are ABG, BCG, CGE, CDE, AGE and AEF i.e. 6 in number.

The triangles composed of two components each are ABE, ABC, BCE and ACE i.e. 4 in number.

There are 6 + 4 = 10 triangles in the figure.

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Q:

One hour is what percent of a day?

A) 5.6% B) 4.16%
C) 3.35% D) 6.7%
 
Answer & Explanation Answer: B) 4.16%

Explanation:

A day has 24 hrs

=> If 24 hrs - 100

Then 1 hr = ?

100/24 = 4.16%

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Q:

Statements followed by some conclusions are given below.

 

Statements :

 

1. Some football players are cricketers.

2. All hockey players love football though some are cricketers.

 

Conclusions :

 

I. Some hockey players who are cricketers play football too.

II. There is at the most one cricketer who plays football and hockey.

 

Find which of the given conclusions logically follows from the given statements.

 

A) Only conclusion I follows B) Only conclusion II follows
C) Both I and II follow D) Neither I nor II follows
 
Answer & Explanation Answer: D) Neither I nor II follows

Explanation:
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Q:

Find the number of ways to arrange 4 people in groups of 3 at a time where order matters?

A) 20 B) 16
C) 24 D) 36
 
Answer & Explanation Answer: C) 24

Explanation:

P(4,3)= P34= 24

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Q:

Read the statements and identify the logically correct conclusion from the given information.

 

Statement :

 

This scale is transparent

 

Conclusion :

 

1. The scale is made up of glass

2. The scale is made up of plastic

 

A) Only II follow B) Both I and II follows
C) Only I follow D) Neither I nor II follow
 
Answer & Explanation Answer: D) Neither I nor II follow

Explanation:
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Q:

Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?

A) 76% B) 72%
C) 80% D) 82%
 
Answer & Explanation Answer: C) 80%

Explanation:

circumference of A = 2πr = 8 => so r = 4π
volume = π×4π2×10 = 160π
circumference of B = 2πr   = 10 => so r = 5π
volume = π×5π2×8 =  200π
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.

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