6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55	B) 56
C) 60	D) 64

Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If $5^{x} = 30^{- y} = 6^{z}$ , then what is the value of (xy + yz + zx)/xyz?

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: A) 0

Explanation:

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Exam Prep: Bank Exams

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Q:

Determine the value of 'a' which satisfies the equation $9^{\sqrt{a}} + 40^{\sqrt{a}} = 41^{\sqrt{a}}$

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

Answer & Explanation Answer: D) 4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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Q:

In the following question, select the odd word from the given alternatives.

A) Music	B) Singer
C) Director	D) Actor

Answer & Explanation Answer: A) Music

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

A used two-wheeler dealer sells a scooter for Rs 46,000 and makes some loss. If he had sold it for Rs 58,000 his profit would have been double his loss. What was the cost price (in Rs) of the scooter?

A) 52000	B) 54000
C) 48000	D) 50000

Answer & Explanation Answer: D) 50000

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

To travel 612 km, an Express train takes 9 hours more than Rajdhani. If the speed of the Express train is doubled, it takes 3 hours less than Rajdhani. The speed (in km/hr) of Rajdhani is

A) 40.8	B) 51
C) 30.6	D) 61.2

Answer & Explanation Answer: A) 40.8

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

If A's salary is 40% less than that of B, then how much percent is B's salary more than that of A?

A) 33 1⁄3	B) 66 2⁄3
C) 33 2⁄3	D) 66 1⁄3

Answer & Explanation Answer: B) 66 2⁄3

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If $3^{10} \times 27^{2} = 9^{2} \times 3^{n}$ then the value of n is

A) 10	B) 12
C) 15	D) 20

Quantitative Aptitude - Arithmetic Ability Questions

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