6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

${(4 x - 7)}^{2} = ?$

A) 4x2 - 56x + 49	B) 4x2 - 14x + 49
C) 16x2 + 14x + 49	D) 16x2 - 56x + 49

Answer & Explanation Answer: D) 16x2 - 56x + 49

Explanation:

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2 70427

Q:

Suppose 0 < θ < 90, then for every θ 4 sin2 θ + 1 is greater than or equal to ?

A) 2	B) 4 sin θ
C) 4 cos θ	D) 4 tan θ

Answer & Explanation Answer: B) 4 sin θ

Explanation:

We know that,

Arithmetic mean ≥ Geometric mean

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6 69922

Q:

An air conditioner can cool the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ?

A) 18 minutes	B) 19 minutes
C) 22 minutes	D) 24 minutes

Answer & Explanation Answer: C) 22 minutes

Explanation:

Let the two conditioners be A and B

'A' cools at 40min

'B' at 45min

Together = (a x b)/(a + b)

= (45 x 40)/(45 + 40)

= 45 x 40/85

= 21.1764

= 22 min (approx).

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Filed Under: Time and Work
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95 69605

Q:

A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

A) 4 months	B) 5 months
C) 6 months	D) 8 months

Answer & Explanation Answer: D) 8 months

Explanation:

Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.

So, B joined for 8 months.

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Filed Under: Partnership

97 69542

Q:

Consider the figure shown below and choose the correct option for the length of MN.

A) d2-r1-r22	B) d2+r1-r22
C) d2-r1-r22	D) d+r1-r22

Answer & Explanation Answer: A) d2-r1-r22

Explanation:

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0 69530

Q:

∆UVW is right angled at V. If cosU = 8/17, then what is the value of sinW ?

A) 15/17	B) 17/8
C) 8/17	D) 17/15

Answer & Explanation Answer: C) 8/17

Explanation:

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1 69390

Q:

(5x- 3)(x + 4) - (2x + 5)(3x - 4) = ?

A) -x2+10x-8	B) -x2+10x+8
C) x2+10x-8	D) x2+10x+8

Answer & Explanation Answer: B) -x2+10x+8

Explanation:

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3 69375

Q:

What is the area of this trapezoidal garden? (All measurements are in cm)

A) 60 sq.cm	B) 180 sq.cm
C) 210 sq.cm	D) 240 sq.cm

Quantitative Aptitude - Arithmetic Ability Questions

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