Quantitative Aptitude - Arithmetic Ability Questions

Q:

A cone of radius 3.5 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7 cm. What will be the height of water in this vessel?

A) 2 cm B) 0.33 cm
C) 0.5 cm D) 1 cm
 
Answer & Explanation Answer: D) 1 cm

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Filed Under: Volume and Surface Area
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Q:

The length of a chord which is at a distance of 5cm from the centre of a circle of radius 13cm is

A) 18cm B) 24cm
C) 28cm D) 30cm
 
Answer & Explanation Answer: B) 24cm

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Q:

Which of the following is equivalent to 0.565656...?

A) 56/100 B) 56/1000
C) 56/99 D) 560/90
 
Answer & Explanation Answer: C) 56/99

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Filed Under: Numbers
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Q:

Calculate the ratio of the area of two similar triangles if the sides of the triangles are in the ratio of 9:4.

 

A) 9:4   B) 3:2  
C) 81:16   D) 27:8
 
Answer & Explanation Answer: C) 81:16  

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Filed Under: Area
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Q:

A dinner set is quoted for Rs 1500. A customer pays Rs 1173 for it. If the customer got a series of two discounts and the rate of first discount is 15% then the rate of second discount was,

A) 15% B) 7%
C) 9% D) 8%
 
Answer & Explanation Answer: D) 8%

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Filed Under: Percentage
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Q:

A boat is moving away from an observation tower. It makes an angle of depression of 60° with an observer's eye when at a distance of 50m from the tower. After 8 sec., the angle of depression becomes 30°. By assuming that it is running in still water, the approximate speed of the boat is

A) 33 km/hr B) 42 km/hr
C) 45 km/hr D) 50 km/hr
 
Answer & Explanation Answer: C) 45 km/hr

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Filed Under: Height and Distance
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Q:

In which quadrant, will the point (4, -2) be located?

A) I B) II
C) III D) IV
 
Answer & Explanation Answer: D) IV

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Filed Under: Problems on Numbers
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Q:

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

A) 30 B) 36
C) 45 D) 60
 
Answer & Explanation Answer: A) 30

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Filed Under: Volume and Surface Area
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