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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If tanα= 2 + 1, then the value of tanα - cotα is

 

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

Explanation:
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Q:

If x32 - 1x16 = 5, then find the value of x96 - 1x48.

 

 

A) 40 B) 70
C) 140 D) 180
 
Answer & Explanation Answer: C) 140

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Q:

If tan4θ + tan2θ = 2, then sec4θ - sec2θ = ?

 

A) 0 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: C) 2

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Q:

Three unbiased coins are tossed.What is the probability of getting at least 2 heads?

A) 1/4 B) 1/2
C) 3/4 D) 1/3
 
Answer & Explanation Answer: B) 1/2

Explanation:

Here S= {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}.

Let E = event of getting at least two heads = {THH, HTH, HHT, HHH}.

P(E) = n(E) / n(S)

      = 4/8= 1/2

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Q:

ΔABC is right angled at B. If m∠C = 45 deg, then find the value of (cosecA - √3).

 

A) (4-√3)/2   B) √2-√3  
C) -√3/2 D) (√6-1)/√3
 
Answer & Explanation Answer: B) √2-√3  

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Q:

Find the Odd One Out?

3 24 186 1008 5040 20160

A) 24 B) 20160
C) 186 D) 5040
 
Answer & Explanation Answer: C) 186

Explanation:

The given number series is 3  24  186  1008  5040  20160

Here  the given series follows a pattern that,

3

3 x 8 = 24

24 x 7 = 168 not 186

168 x 6 = 1008

1008 x 5 =  5040

5040 x 4 = 20160

 

Hence the Odd One in the number series is 186.

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Q:

∆DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3).

 

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

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Q:

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

A) 1.04 B) 2.04
C) 3.04 D) 4.04
 
Answer & Explanation Answer: D) 4.04

Explanation:

100 cm is read as 102 cm. 

A1 = (100*100)Sq.cm 

A2 = (102*102)Sq.cm

(A2 - A1) = 1022-1002 = (102 + 100) x (102 - 100) = 404 sq.cm.

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