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Q:

For any two real numbers a and b.

$\sqrt{{(a - b)}^{2}} + \sqrt{{(b - a)}^{2}}$ is

A) always zero	B) never zero
C) positive only if a ≠ b	D) positive if an only if a > b

Answer & Explanation Answer: C) positive only if a ≠ b

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

For $x = \frac{4 \sqrt{6}}{\sqrt{2} + \sqrt{3}}, what is the value of \frac{x + 2 \sqrt{2}}{x - 2 \sqrt{2}} + \frac{x + 2 \sqrt{3}}{x - 2 \sqrt{3}}$

A) 1	B) √2
C) √3	D) 2

Answer & Explanation Answer: D) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Suppose n is a positive integer such that $(n^{2} + 48)$ is a perfect square. What is the number of such n?

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

Answer & Explanation Answer: C) 3

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

What is the value of $\sin^{6} θ + \cos^{6} θ + 3 \sin^{2} θ \cos^{2} θ - 1$ ?

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

Answer & Explanation Answer: A) 0

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of $\sin^{2} 25 ° + \sin^{2} 65 °$ ?

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

Answer & Explanation Answer: B) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If 3 tan θ = cot θ where $0 < θ < π / 2$ , then what is the value of θ ?

A) π/6	B) π/4
C) π/2	D) 1

Answer & Explanation Answer: A) π/6

Explanation:

3tan θ = cot θ

3tan θ = 1/tan θ

tan2θ = 1/3

tan θ = 1/√3

θ = π/6

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of $\tan 1 ° \tan 2 ° \tan 3 ° . . . . . . . \tan 89 °$ ?

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

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $a^{x} = b^{y} = c^{z}$ and $b^{2} = ac$ , then what is $\frac{1}{x} + \frac{1}{z}$ equal to ?

A) 1/y	B) -1/y
C) 2/y	D) -2/y

Answer & Explanation Answer: C) 2/y

Explanation:

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Filed Under: Simplification
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