Quantitative Aptitude - Arithmetic Ability Questions

Q:

The angle of elevation of an aeroplane from a point on the ground is 60 deg. After flying for 30 seconds, the angle of elevation changes to 30 deg. If the aeroplane is flying at a height of 4500 m, then what is the speed (in m/s) of aeroplane?

A) 50√3 B) 100√3
C) 200√3 D) 300√3
 
Answer & Explanation Answer: B) 100√3

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Filed Under: Height and Distance
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Q:

How many solutions does a pair of linear equations will have, if the equations are 4x+5y-6=0 and 16x+20y+20=0?

 

A) 0 B) 1
C) 2 D) Infinite
 
Answer & Explanation Answer: A) 0

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Q:

The minimum number of straight lines required to construct the given figure is ___.

A) 11 B) 12
C) 9 D) 10
 
Answer & Explanation Answer: A) 11

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Filed Under: Volume and Surface Area
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Q:

In a farm, there are goats and peacocks. If the number of heads are 60 and the number of feet are 170, then the number of goats = ?

A) 18 B) 20
C) 23 D) 25
 
Answer & Explanation Answer: D) 25

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Q:

Choose the correct option for the following figure.

A) AB=BD B) AC=CD
C) BC=AB D) AD
 
Answer & Explanation Answer: B) AC=CD

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Filed Under: Volume and Surface Area
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Q:

The angle of elevation of the top of a 36 m tall tower from the initial position of a person on the ground was 60 deg. She walked away in a manner that the foot of the tower, her initial position and the final position were all in the same straight line. The angle of elevation of the top of the tower from her final position was 30 deg. How much did she walk from her initial position?

 

A) 24√3 m B) 12√3 m
C) 24 m D) 36√3 m
 
Answer & Explanation Answer: D) 36√3 m

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Q:

The shadow of a tower on ground level is increased by 30 m, when the angle of depression by the sun changes from 60 deg to 30 deg. The height of the tower is

 

A) 12√3 m B) 17√3 m
C) 16√3 m D) 15√3 m
 
Answer & Explanation Answer: D) 15√3 m

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Q:

How much does one need to add to 4/5 to obtain 5/4?

A) 16/20 B) 1/-1
C) 1.25/0.8 D) 9/20
 
Answer & Explanation Answer: D) 9/20

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Filed Under: Problems on Numbers
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