Quantitative Aptitude - Arithmetic Ability Questions

Q:

In figure 'O' is the centre of a circle. The area of sector OAPB is 5/18. of the area of the circle find 'x'.

 

 

A) 120 deg B) 100 deg
C) 115 deg D) 125 deg
 
Answer & Explanation Answer: B) 100 deg

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Filed Under: Area
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Q:

The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is

A) 200(3+√3) meter B) 250(3+√3) meter
C) 150(3+√3) meter D) 160(3+√3) meter
 
Answer & Explanation Answer: C) 150(3+√3) meter

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Q:

Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?

A) 12 B) 14
C) 16 D) 28
 
Answer & Explanation Answer: D) 28

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Filed Under: Volume and Surface Area
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Q:

In an isosceles triangle ABC, AB = AC, XY || BC. If A = 30, then BXY = 

A) 75° B) 30°
C) 150° D) 105°
 
Answer & Explanation Answer: D) 105°

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Filed Under: Volume and Surface Area
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Q:

On selling 120 bottles, Vijay earns profit equal to the cost price of 10 bottles. What is the profit percentage?

 

A) 8.33   B) 9.09  
C) 7.7   D) 12.5
 
Answer & Explanation Answer: A) 8.33  

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Filed Under: Profit and Loss
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Q:

A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere?

A) 493 B) 7
C) 14 D) 983
 
Answer & Explanation Answer: B) 7

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Filed Under: Volume and Surface Area
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Q:

The length of a mirror arc is 2/9 of the circumference of the circle. Write the measure of the angle (in degrees) subtended by the arc at the centre of the circle.

A) 60 B) 50
C) 80 D) 30
 
Answer & Explanation Answer: C) 80

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Q:

An angle is thrice its complementary angle. What is the measure of the angle?

A) 22.5° B) 135°
C) 45° D) 67.5°
 
Answer & Explanation Answer: D) 67.5°

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Filed Under: Simplification
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