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Q:

If $x = \frac{4 \sqrt{ab}}{\sqrt{a} + \sqrt{b}}$ , then what is the value of $\frac{x + 2 \sqrt{a}}{x - 2 \sqrt{a}} + \frac{x + 2 \sqrt{b}}{x - 2 \sqrt{b}}$ ?

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

Answer & Explanation Answer: B) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of $x^{3} + y^{3} + z^{3}$ ?

A) 104	B) 144
C) 196	D) 288

Answer & Explanation Answer: D) 288

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Filed Under: Simplification
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Q:

If $\frac{\sqrt{5 + x} + \sqrt{5 - x}}{\sqrt{5 + x} - \sqrt{5 - x}} = 3$ ,then what is the value of x ?

A) 5/2	B) 25/3
C) 4	D) 3

Answer & Explanation Answer: D) 3

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Filed Under: Simplification
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Q:

For what value of k, the expression $x^{6} - 18 x^{3} + k$ will be a perfect square?

A) -9	B) 81
C) 9	D) -81

Answer & Explanation Answer: B) 81

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Filed Under: Simplification
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Q:

A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?

A) 30	B) 32
C) 40	D) 56

Answer & Explanation Answer: C) 40

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Filed Under: Average
Exam Prep: Bank Exams

Q:

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements

Statement I:
All cells are chargers
Statement II:
All batteries are cells

Conclusion I:
Some chargers are batteries
Conclusion II:
All batteries are chargers

A) Only conclusion I follows	B) Only conclusion II follows
C) Both conclusions I and II follows	D) Neither conclusion I nor conclusion II follows

Answer & Explanation Answer: C) Both conclusions I and II follows

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Filed Under: Statement and Assumptions
Exam Prep: Bank Exams

Q:

Who pioneered diagnostic ultrasound?

A) Alexander Fleming	B) Ian Donald
C) A. Laveran	D) Robert Koch

Answer & Explanation Answer: B) Ian Donald

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Filed Under: Inventions
Exam Prep: Bank Exams

Q:

Which phenomena shows the particle nature of light?

A) Diffraction	B) Interference
C) Photoelectric effect	D) Polarisation

Answer & Explanation Answer: C) Photoelectric effect

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Filed Under: Physics
Exam Prep: Bank Exams

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