6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If secA + tanA = x, then the value of x is

A) cosA/(1 + sinA)	B) √[cosA/(1 - sinA)]
C) √[cosA/(1 + sinA)]	D) cosA/(1 - sinA)

Answer & Explanation Answer: D) cosA/(1 - sinA)

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1962

Q:

If 2x + 2(4 + 3x) < 2 + 3x > 2x + x/2; then x can take which of the following values?

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

Answer & Explanation Answer: A) -3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1961

Q:

When $x^{2} + ax + b$ is divided by (x-1), the remainder is 15 and when $x^{2} + bx + a$ is divided by (x+1), the remainder is -1, then the value of $a^{2} + b^{2}$ is

A) 10	B) 20
C) 8	D) 16

Answer & Explanation Answer: A) 10

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1961

Q:

25% discount is offered on an item. By applying a promo code the customer wins 8% cash back. What is the effective discount?

A) 35.75 percent	B) 35 percent
C) 31 percent	D) 12.5 percent

Answer & Explanation Answer: C) 31 percent

Explanation:

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT

1 1961

Q:

If $\frac{1}{p} + \frac{1}{q} = \frac{1}{p + q}$ , then the value of $p^{3} - q^{3}$

A) p-q	B) pq
C) 1	D) 0

Answer & Explanation Answer: D) 0

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1960

Q:

In the question, two equations I and II are given. You have to solve both the equations and give answer

$x^{2} - 11 x + 28 = 0 y^{2} - 18 y + 81 = 0$

A) x > y	B) x < y
C) x=y, or relation cannot be established between x and y	D) x ≥ y

Answer & Explanation Answer: B) x < y

Explanation:

x2 – 11x + 28=0

x2 – 7x – 4x + 28=0

x (x-7) – 4 (x-7)=0

(x-4) (x-7)=0 x=4, 7

y2 – 18y + 81=0

y2 –9y – 9y + 81=0

y (y-9) – 9 (y-9)=0

(y-9) (y-9)=0 y=9, 9

So, x<y.

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Filed Under: Simplification

0 1960

Q:

The value of $\cos^{2} 20 ° + \cos^{2} 70 °$ is

A) 0	B) 1
C) 1/2	D) 13

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1960

Q:

The ratio of the weights of two spheres is 8 : 27 and the ratio of weights per 1 cc of materials of two is 8 : 1 . The ratio of the radii of the spheres is

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

Quantitative Aptitude - Arithmetic Ability Questions

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