Quantitative Aptitude - Arithmetic Ability Questions

Q:

The third proportional of two numbers 24 and 36 is

A) 48 B) 54
C) 72 D) 108
 
Answer & Explanation Answer: B) 54

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Q:

What is the value of (cosec30 - 1/√3)?

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

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Q:

If a3 + b3 = 19 and ab = -6 , then what is the value of a + b?

A) 5 B) 7
C) 1 D) -5
 
Answer & Explanation Answer: C) 1

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Q:

The value of Cot17°Cot73°Cos222° + 1Cot17°Sec268° is

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

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Q:

If tan4θ + tan2θ = 1 then the value of cos4θ + cos2θ is

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

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Q:

Find  two  natural  numbers  whose  sum  is  85 andtheleast common multiple is 102.

A) 30 & 55 B) 17 & 68
C) 35& 55 D) 51 & 34
 
Answer & Explanation Answer: D) 51 & 34

Explanation:

Let a + b = 85→b = 85 –a

LCM(a,b) =102→ab = 102

k→a(85 –a) = 102k, where k is a natural number.

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Q:

What is the area (in sq cm) of a circle whose circumference is 22 cm?

A) 77 B) 38.5
C) 44 D) 88
 
Answer & Explanation Answer: B) 38.5

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Q:

What is the area (in sq cm) of a rectangle of perimeter 48 cm and breadth 10 cm?

A) 140 B) 480
C) 240 D) 440
 
Answer & Explanation Answer: A) 140

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