6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ is

A) -3/2	B) 3/2
C) −√3/2	D) √3/2

Answer & Explanation Answer: B) 3/2

Explanation:

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Q:

An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was

A) 1500000	B) 1000000
C) 1200000	D) 1100000

Answer & Explanation Answer: B) 1000000

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Q:

The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?

A) 13 cm	B) 14 cm
C) 16 cm	D) 12 cm

Answer & Explanation Answer: A) 13 cm

Explanation:

Let height =x Then, base =2x

2x * x = 338

=>x=13

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Filed Under: Area
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Q:

If $\frac{cosθ}{1 - sinθ} + \frac{cosθ}{1 + sinθ} = 4$ , then the value of $θ (0 ° < θ < 90 °)$ ?

A) 60°	B) 45°
C) 30°	D) 35°

Answer & Explanation Answer: A) 60°

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Q:

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

A) [(5√3) – 3]	B) [(4√3) – 2]
C) [(2√5) – 1]	D) [(2√6) – 1]

Answer & Explanation Answer: D) [(2√6) – 1]

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

A field can be reaped by 12 men or 18 women in 14 days. In how many days can 8 men and 16 women reap it?

A) 26 days	B) 24 days
C) 9 days	D) 8 days

Answer & Explanation Answer: C) 9 days

Explanation:

12 men or 18 women can complete in 14 days

8 men and 16 women can complete in how many days

12men = 18 women (Comparing efficiencies)

1men = 18/12 = 1.5 women

8 men and 16 women = 12women + 16 women = 28 women

18 women completes in 14 days

1 woman completes in 14*18 days

28 women completes in (14*18)/28 days = 9 days

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Filed Under: Time and Work
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Q:

If the expression ${px}^{3} - 2 x^{2} - qx + 18$ is completely divisible by $(x^{2} - 9)$ , then what is the ratio between p and q respectively?

A) 1:9	B) 1:3
C) 3:1	D) 9:1

Answer & Explanation Answer: A) 1:9

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Q:

An engineering student has to secure 36% marks to pass. He gets 53 and fails by 37 marks. Find the maximum marks.

A) 275 marks	B) 250 marks
C) 300 marks	D) 325 marks

Quantitative Aptitude - Arithmetic Ability Questions

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