Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

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

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Q:

If cosec 45° - sin 30° = x, then x is

A) 5/√3 B) (√6-1)/√2
C) √3+2 D) (2√2-1)/2
 
Answer & Explanation Answer: D) (2√2-1)/2

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Q:

The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is

A) 4140π sq.cm. B) 4110π sq.cm.
C) 4080π sq.cm. D) 4050π sq.cm.
 
Answer & Explanation Answer: A) 4140π sq.cm.

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Q:

The length of one side of a rhombus is 13 cm and one of the diagonals is 10 cm. What is the legth of the other diagonal?

A) 24 cm B) 23 cm
C) 25 cm D) 22 cm
 
Answer & Explanation Answer: A) 24 cm

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Q:

Find two numbers such that their mean proportion is 8 and third proportion is 64.

A) 4 and 8 B) 8 and 16
C) 8 and 8 D) 4 and 16
 
Answer & Explanation Answer: D) 4 and 16

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Q:

In the following question, select the odd letter/letters from the given alternatives.

A) KQW B) RXD
C) BHN D) AGL
 
Answer & Explanation Answer: D) AGL

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Q:

If 90% of A = 30% of B and B = x% of A, find x.

A) 600 B) 900
C) 300 D) 1200
 
Answer & Explanation Answer: C) 300

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Q:

The areas of two similar triangles ΔABC and ΔPQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?

A) 16 B) 12
C) 8 D) 6
 
Answer & Explanation Answer: C) 8

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