6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

At what point does the line 3x + 2y = 12 cuts the Y-axis?

A) (0, 6)	B) (0, -6)
C) (6, 0)	D) (-6, 0)

Answer & Explanation Answer: A) (0, 6)

Explanation:

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Q:

Abhinav is 2 times as good a workman as Balwant and therefore is able to finish a job in 36 days less than Balwant. Working together, they can do it in

A) 12 days	B) 6 days
C) 18 days	D) 24 days

Answer & Explanation Answer: D) 24 days

Explanation:

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Q:

Mr. Ankit is on tour to Siachin and he has Rs. 360 for his expenditure. If he exceeds his tour by 4 days, he must trim down his daily expenditure by Rs.3. Forhow many days is Mr. Ankit is on tour?

A) 20	B) 22
C) 24	D) 26

Answer & Explanation Answer: A) 20

Explanation:

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Q:

If $\frac{a}{b} + \frac{b}{a} = 1,$ then the value of $a^{3} + b^{3}$ is

A) 1	B) 0
C) -1	D) 2

Answer & Explanation Answer: B) 0

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Q:

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

A) acDD	B) egHH
C) ikLL	D) QSTt

Answer & Explanation Answer: D) QSTt

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Q:

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:3, and area of Δ APQ is 8 sq cm, what is the area of trapezium PQCB?

A) 50 sq cm	B) 18 sq cm
C) 42 sq cm	D) 14 sq cm

Answer & Explanation Answer: C) 42 sq cm

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Q:

What is the value of $\sin^{6} θ + \cos^{6} θ + 3 \sin^{2} θ \cos^{2} θ - 1$ ?

A) 0	B) 1
C) 2	D) 4

Answer & Explanation Answer: A) 0

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Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm	B) 15 cm
C) 20 cm	D) 30 cm

Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

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Quantitative Aptitude - Arithmetic Ability Questions

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