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

0 1991

Q:

The value of ${cosec}^{2} 60 + \sec^{2} 60 \cot^{2} 60 + \tan^{2} 30$ will be

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

Answer & Explanation Answer: C) 5 1/3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1990

Q:

What is the simplified value of $\sin^{2} (90 - θ) - [\sin (90 - θ) sinθ / tanθ]$ ?

A) 1	B) cosec θ
C) 0	D) cos θ

Answer & Explanation Answer: C) 0

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1990

Q:

On a certain principal if the Simple interest for two years is Rs 3000 and Compound interest for the two years is Rs 3225, what is the rate of Interest?

A) 7.5 percent	B) 30 percent
C) 15 percent	D) 22.5 percent

Answer & Explanation Answer: C) 15 percent

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

3 1990

Q:

Badki can bake 45 cakes in 9 hours, Badki and Chutki together can bake 80 cakes in 10 hours. How many cakes Chutki can bake in 40 hours?

A) 125	B) 10
C) 120	D) 20

Answer & Explanation Answer: C) 120

Explanation:

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

0 1990

Q:

Amar is 2 times as good a workman as Badal and therefore is able to finish a job in 15 days less than Badal. In how many days can they together complete the job?

A) 30 days	B) 40 days
C) 10 days	D) 20 days

Answer & Explanation Answer: C) 10 days

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 1989

Q:

If x - 1/x = 1 then what is the value of $\frac{1}{x} (\frac{1}{x - 1} - \frac{1}{x + 1} + \frac{1}{x^{2} + 1} - \frac{1}{x^{2} - 1}) ?$

A) ±√5	B) 2/5
C) ±2/√5	D) ±√5/2

Answer & Explanation Answer: C) ±2/√5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1988

Q:

What is the length of the side of a regular hexagon, if its area is 54√3 sq cm?

A) 12 cm	B) 9 cm
C) 6 cm	D) 15 cm

Quantitative Aptitude - Arithmetic Ability Questions

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