Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the odd one out of the series ?

35, 48, 54, 63, 81, 105

A) 63 B) 48
C) 35 D) 81
 
Answer & Explanation Answer: C) 35

Explanation:

48, 54, 63, 81 and 105 are divisible by 3 but not 35.

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Q:

Suppose 0 < θ < 90, then for every θ 4 sin2 θ + 1 is greater than or equal to ?

 

A) 2 B) 4 sin θ 
C) 4 cos θ  D) 4 tan θ
 
Answer & Explanation Answer: B) 4 sin θ 

Explanation:
We know that,
Arithmetic mean ≥ Geometric mean
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Q:

Consider the figure shown below and choose the correct option for the length of MN.

 

A) d2-r1-r22 B) d2+r1-r22
C) d2-r1-r22 D) d+r1-r22
 
Answer & Explanation Answer: A) d2-r1-r22

Explanation:
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Q:

(5x- 3)(x + 4) - (2x + 5)(3x - 4) = ?

 

A) -x2+10x-8 B) -x2+10x+8
C) x2+10x-8 D) x2+10x+8
 
Answer & Explanation Answer: B) -x2+10x+8

Explanation:
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Q:

∆UVW is right angled at V. If cosU = 8/17, then what is the value of sinW ?

 

A) 15/17 B) 17/8
C) 8/17 D) 17/15
 
Answer & Explanation Answer: C) 8/17

Explanation:
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Q:

 If a2 = 12, then a4 =? 

 

A) 144 B) 72
C) 36 D) 24
 
Answer & Explanation Answer: A) 144

Explanation:

Given a x a = 12

asked to find a x a x a x a =  (a x a) x (a x a)

a4 = a2 x a2 

= 12 x 12

= 144.

 

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Q:

What is the area of this trapezoidal garden? (All measurements are in cm)

 

A) 60 sq.cm B) 180 sq.cm
C) 210 sq.cm D) 240 sq.cm
 
Answer & Explanation Answer: D) 240 sq.cm

Explanation:
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Q:

An air conditioner can cool the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ?

A) 18 minutes B) 19 minutes
C) 22 minutes D) 24 minutes
 
Answer & Explanation Answer: C) 22 minutes

Explanation:

Let the two conditioners be A and B

 

'A' cools at 40min

 

'B' at 45min

 

Together = (a x b)/(a + b)

= (45 x 40)/(45 + 40)

= 45 x 40/85

= 21.1764

= 22 min (approx).

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