6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In ΔABC, ∠B = 70° and ∠C = 60°. The internal bisectors of the two smallest angles of ΔABC meet at O. The angle so formed at O is

A) 125°	B) 120°
C) 115°	D) 110°

Answer & Explanation Answer: A) 125°

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

Akhilesh is two times as good a workman as Bansi and therefore is able to finish a job in 39 days less than Bansi. Working together, they can do it in

A) 13 days	B) 24 days
C) 26 days	D) 12 days

Answer & Explanation Answer: C) 26 days

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Filed Under: Time and Work
Exam Prep: Bank Exams , CAT

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Q:

What is the average of all the one digit and two digit natural numbers?

A) 25	B) 40
C) 50	D) 99

Answer & Explanation Answer: C) 50

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If p/q = (x+3)/(x-3), then what is the value of $\frac{p^{2} + q^{2}}{p^{2} - q^{2}}$ ?

A) x+9	B) x2+96x
C) x2+186x	D) 0

Answer & Explanation Answer: B) x2+96x

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Filed Under: Simplification
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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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Q:

If a = 299, b = 298, c = 297 then the value of $2 a^{3} + 2 b^{3} + 2 c^{3} - 6 abc$ is

A) 5154	B) 5267
C) 5364	D) 5456

Answer & Explanation Answer: C) 5364

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Q:

If the measure of the interior angle of a regular polygon is $180^{0}$ , then how many sides does it have?

A) 6	B) 8
C) 9	D) 5

Answer & Explanation Answer: D) 5

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take π = 22/7)

A) 800 cubic metres	B) 300 cubic metres
C) 480 cubic metres	D) 400 cubic metres

Quantitative Aptitude - Arithmetic Ability Questions

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