Aptitude and Reasoning Questions

Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm B) 216 sq.cm
C) 144 sq.cm D) Cannot be determined due to insufficient data
 
Answer & Explanation Answer: A) 288 sq.cm

Explanation:
Let lengths, breadth and height of cuboid be l, b and h respectively
According to question
l+b+h = 22cm......(i)
and
√(l^2+b^2+h^2) = 14cm .....(ii)
Surface area of cuboid = 2(lb+bh+lh)
Squaring eq (i) gives
l2+b2+h2+ 2(lb+bh+lh) = 484
Substituting l^2+b^2+h^2 from eq (i)
2(lb+bh+lh) = 484 -196 = 288 sq.cm
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Q:

In a row of boys, Tarak is 18th from either end. How many boys are there in the row?

A) 19 B) 36
C) 35 D) 42
 
Answer & Explanation Answer: C) 35

Explanation:
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Q:

Value of (4a2+ 12ab + 9b2)/(2a + 3b) is

A) 2a - 3b B) 2a + 3b
C) 2a D) 3b
 
Answer & Explanation Answer: B) 2a + 3b

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the simplified value of sin2(90θ)[sin(90θ)sinθ/tanθ]?

A) 1 B) cosec θ
C) 0 D) cos θ
 
Answer & Explanation Answer: C) 0

Explanation:
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Q:

Average of the runs of 133 players of a team is 38. If the average of the runs of the male players is 43 and the average of the runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?

 

A) 301 : 60   B) 7 : 3  
C) 39 : 11   D) 60 : 207
 
Answer & Explanation Answer: A) 301 : 60  

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

Mayur can complete a work in 27 hours. If he is joined by Jayantika who is 100% more efficient, in what time will they together finish the work?

A) 6 hours B) 3 hours
C) 9 hours D) 10 hours
 
Answer & Explanation Answer: C) 9 hours

Explanation:
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Q:

Two cars travel from city A to city B at a speed of 30 and 44 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 330 km B) 396 km
C) 495 km D) 264 km
 
Answer & Explanation Answer: A) 330 km

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams , CAT

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Q:

The volume of a spherical balloon is increased by 700%. What is the percentage increase in its surface area?

A) 300% B) 400%
C) 450% D) 500%
 
Answer & Explanation Answer: A) 300%

Explanation:
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Exam Prep: Bank Exams

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