6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If (5x – y)/(5x + y) = 3/7, then what is the value of $(4 x^{2} + y^{2} - 4 xy) / (9 x^{2} + 16 y^{2} + 24 xy) ?$

A) 0	B) 3/7
C) 18/49	D) 1/6

Answer & Explanation Answer: A) 0

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the simplified value of $\sqrt{\frac{1 - \sin A}{1 + \sin A}}$ ?

A) tan A	B) sec A
C) sec A + tan A	D) sec A – tan A

Answer & Explanation Answer: D) sec A – tan A

Explanation:

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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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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If θ is positive acute angle and $4 \sin^{2} θ = 3$ , then the value of tan θ - cot θ/2 is

A) 1	B) 0
C) √3	D) 1/√3

Answer & Explanation Answer: B) 0

Explanation:

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Q:

A train is moving at the speed of 72km/hr. How many seconds will it take to cover a distance of 1400 m ?

A) 70	B) 80
C) 72	D) 84

Answer & Explanation Answer: A) 70

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

The time for a train of length 110 metres running at the speed of 72 km/hr to cross a bridge of length 132 metres is

A) 9.8 sec	B) 12.1 sec
C) 12.42 sec	D) 14.3 sec

Answer & Explanation Answer: B) 12.1 sec

Explanation:

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

Choose the word is least like the other words in the group

A) Garo	B) Khasi
C) Kangra	D) Jayantia

Answer & Explanation Answer: C) Kangra

Explanation:

All except Kangra is a hill. Kangra is a valley.

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

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

A) Wolf	B) Cat
C) Dog	D) Fox

Quantitative Aptitude - Arithmetic Ability Questions

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