Quantitative Aptitude - Arithmetic Ability Questions

Q:

A cone is hollowed out of a solid wooden cube of side 7 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?

A) 253.17 cubic cms B) 228.84 cubic cms
C) 143.26 cubic cms D) 257.68 cubic cms
 
Answer & Explanation Answer: A) 253.17 cubic cms

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Q:

If (1 - cos2A)/cosA = x, then the value of x is

A) cotA B) cosecA
C) tanA D) secA
 
Answer & Explanation Answer: C) tanA

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If tan(A/2) = x, then the value of x is

A) √[(1 + cosA)/(1 -­ cosA)] B) (1 -­ cosA)/(1 + cosA)
C) (1 + cosA)/(1 -­ cosA) D) √[(1 -­ cosA)/(1 + cosA)]
 
Answer & Explanation Answer: D) √[(1 -­ cosA)/(1 + cosA)]

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Q:

Δ DEF is right angled at E. If m∠D = 45%., then Cosec F =

A) 1/2 B) 1/√2
C) √2 D) 1/√3
 
Answer & Explanation Answer: C) √2

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Q:

A 8 cm long perpendicular is drawn from the centre of a circle to a 12 cm long chord. The diameter of the circle is

A) 10 cm B) 12 cm
C) 16 cm D) 20 cm  
 
Answer & Explanation Answer: D) 20 cm  

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Q:

The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?

A) 34 B) 28
C) 25 D) 31
 
Answer & Explanation Answer: D) 31

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Filed Under: Numbers
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Q:

The mean of a distribution is 21 and the standard deviation is 7. What is the value of the coefficient variation?

 

A) 16.66% B) 66.66%
C) 33.33% D) 100%
 
Answer & Explanation Answer: C) 33.33%

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Filed Under: Probability
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Q:

The HCF of two numbers is 12 and their LCM is 72. If one of the two numbers is 24, then the other number is

A) 60 B) 36
C) 72 D) 48
 
Answer & Explanation Answer: B) 36

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Filed Under: HCF and LCM
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