6500+ Quantitative Aptitude Questions and Answers With Explanation

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 $\tan^{2} θ + c o t^{2} θ = 2$ , then what is the value of $2^{s e c θ \cos e c θ}$ ?

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

Answer & Explanation Answer: D) 4

Explanation:

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Exam Prep: Bank Exams

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Q:

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

A) 636	B) 749
C) 864	D) 989

Answer & Explanation Answer: D) 989

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams , CAT

1 2052

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
Exam Prep: Bank Exams

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Q:

Robin can do a work alone in 9 days. Amit can do the same work alone in 6 days. Both of them finish the work together and they get a total Rs 2500. What isthe share (in Rs) of Robin?

A) 1700	B) 1200
C) 1500	D) 1000

Answer & Explanation Answer: D) 1000

Explanation:

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Filed Under: Time and Work

2 2052

Q:

Simple interest on a sum for 12 months at the rate of 25% per annum is Rs 935.What is the value (in Rs) of sum?

A) 3740	B) 3200
C) 4410	D) 4720

Answer & Explanation Answer: A) 3740

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams , CAT

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Q:

In a class there were 28 boys and some girls. In a test the mean score obtained by the boys was 12.5 while that obtained by the girls was 14.5. If the overall average was 13.1, what was the total number of students in the class?

A) 42	B) 44
C) 40	D) 38

Answer & Explanation Answer: C) 40

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

1 2051

Q:

If $3 \sin θ + 4 \cos θ = 5 (0 < θ < 90 °)$ then the value of $\sin θ$ is

A) 1/5	B) 2/5
C) 3/5	D) 4/5

Quantitative Aptitude - Arithmetic Ability Questions

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