Aptitude and Reasoning Questions

Q:

In the following question, select the odd word pair from the given alternatives.

 

A) Net – Badminton B) Gloves – Boxing
C) Players – Chess D) Ball – Cricket
 
Answer & Explanation Answer: B) Gloves – Boxing

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Q:

In the following question, select the odd letter/letters from the given alternatives.

 

A) GMS B) KQW
C) JPV D) NTY
 
Answer & Explanation Answer: D) NTY

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Q:

The length of shadow of a tower is √3 times that of its length. The angle of elevation of the sun is

A) 45° B) 30°
C) 60° D) none
 
Answer & Explanation Answer: B) 30°

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Q:

From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the height of the tower is (√3=1.732)

A) 45.46 m B) 45.64 m
C) 54.64 m D) 54.46 m
 
Answer & Explanation Answer: C) 54.64 m

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Q:

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45° and 60°, then the width of the river is

A) (200 + 200/√3) m B) (200 - 200/√3) m
C) 400 √3 m D) (400/√3) m
 
Answer & Explanation Answer: B) (200 - 200/√3) m

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Q:

From the top of a platform 7 m high, the angle of elevation of a tower was 30 deg. If the platform was positioned 50√3 m away from the tower, how tall was the tower?

A) 57 m B) 50 m
C) (25√3 + 7) m D) 25√3 m
 
Answer & Explanation Answer: D) 25√3 m

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Q:

The angle of elevation of a ladder leaning against a wall is 60 deg and the foot of the ladder is 4.2 m away from the wall. The length of the ladder is

A) 9.2 m B) 11.4 m
C) 8.5 m D) 13.5 m
 
Answer & Explanation Answer: A) 9.2 m

Explanation:

Let AB be the wall and BC be the ladder. Then, ACB=60°   and AC=4.6 m.  AC/BC = cos 60°  =  1/2     BC = 2×AC =(2×4.6)m = 9.2 m

 

 

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Q:

The angle of elevation of the top of a hill at the foot of the tower is 60 deg and the angle of elevation of the top of the tower from the foot of the hill is 30 deg. If the tower is 50 m high, what is the height of the hill?

A) 100 m B) 120 m
C) 180 m D) 150 m
 
Answer & Explanation Answer: D) 150 m

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