Quantitative Aptitude - Arithmetic Ability Questions

Q:

If tan π/3c + cosec π/6c = x, then x is

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

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Q:

If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2  y2)?

A) 0 B) 1
C) 512√2 D) 612√2
 
Answer & Explanation Answer: D) 612√2

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Q:

A 150 m long train, travelling at 54 km/h, crosses a platform in 42 seconds. What is the length of the platform?

A) 540 m B) 630 m
C) 480 m D) 780 m
 
Answer & Explanation Answer: C) 480 m

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Filed Under: Problems on Trains
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Q:

Three solid spheres have their radii r1, r2 and r3. The spheres are melted to form a solid sphere of bigger radius. Then the radius of the new sphere is

A) r1+r2+r3 B) r12+r22+r3212
C) r13+r23+r3313 D) r14+r24+r3414
 
Answer & Explanation Answer: C) r13+r23+r3313

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Filed Under: Volume and Surface Area
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Q:

PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?

A) 8 – 4√2 B) 16 + 8√2
C) 16√2 – √16 D) 16 – 8√2
 
Answer & Explanation Answer: C) 16√2 – √16

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Filed Under: Volume and Surface Area
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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:

The first and last terms of an arithmetic progression are 25 and ­52. What is the sum of the series if it has 12 terms?

A) -162 B) -110
C) 162 D) 110
 
Answer & Explanation Answer: A) -162

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Q:

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

A) 5,124 B) 7,342
C) 3,26 D) 2,15
 
Answer & Explanation Answer: D) 2,15

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Filed Under: Odd Man Out
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