6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If 2x + (9/x) = 9, then what is the minimum value of $x^{2} + \frac{1}{x^{2}} = ?$

A) 95/36	B) 97/36
C) 87/25	D) 623/27

Answer & Explanation Answer: B) 97/36

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1962

Q:

Marked price of an item is Rs 200. On purchase of 1 item discount is 5%, on purchase of 2 items discount is 14%. Rajeshri buys 3 items, what is the effective discount?

A) 37 percent	B) 26.25 percent
C) 11 percent	D) 30.2 percent

Answer & Explanation Answer: C) 11 percent

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Filed Under: Percentage
Exam Prep: Bank Exams

1 1961

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 1961

Q:

In a circle of radius 8 cm, AB and AC are two chords such that AB = AC = 12 cm. What is the length of chord BC?

A) 2√6 cm	B) 3√6 cm
C) 3√7 cm	D) 6√7 cm

Answer & Explanation Answer: D) 6√7 cm

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

2 1960

Q:

The first and last terms of an arithmetic progression are 32 and -43. If the sum of the series is -88, then it has how many terms?

A) 16	B) 15
C) 17	D) 14

Answer & Explanation Answer: A) 16

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 1960

Q:

A car travels 80 km in 2 hours and a train travels 180 km in 3 hours . The ratio ofspeed of the car to the train is

A) 2:3	B) 3:2
C) 3:4	D) 4:3

Answer & Explanation Answer: A) 2:3

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

0 1959

Q:

If $a^{3} + b^{3} = 28$ and a + b = 4, then what is the value of ab?

A) -3	B) 2
C) 8	D) 3

Answer & Explanation Answer: D) 3

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1959

Q:

$(2^{51} + 2^{52} + 2^{53} + 2^{54} + 2^{55})$ is divided by

A) 23	B) 58
C) 124	D) 127

Quantitative Aptitude - Arithmetic Ability Questions

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