Quantitative Aptitude - Arithmetic Ability Questions

Q:

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 198, then what is the difference between the first and the third number?

A) 216 B) 297
C) 661 D) 431
 
Answer & Explanation Answer: A) 216

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Q:

Find the maximum area of a rectangular field which is surrounded by a rope of 100 meters?

A) 500 sq.m B) 325 sq.m
C) 400 sq.m D) 100 sq.m
 
Answer & Explanation Answer: C) 400 sq.m

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Q:

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

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

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Q:

If secA -­ tanA = x, then the value of x is

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

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Q:

If 3a+4b3c+4d = 3a-4b3c-4d, then 

A) ab = cd B) ad = bc
C) ac = bd D) a = b = c ≠ d
 
Answer & Explanation Answer: B) ad = bc

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Q:

Find the odd word/letters/number from the given alternatives.

A) Affluent B) Rich
C) Prestigious D) Well-to-do
 
Answer & Explanation Answer: C) Prestigious

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) Magenta B) Maroon
C) Turquoise D) Picasa
 
Answer & Explanation Answer: D) Picasa

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