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Q:

If x+y+z = 0, then what is the value of $\frac{x^{2}}{3 z} + \frac{y^{3}}{3 xz} + \frac{z^{2}}{3 x}$ ?

A) 0	B) xz
C) y	D) 3y

Answer & Explanation Answer: C) y

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $x = \sqrt{\frac{2 + \sqrt{3}}{2 - \sqrt{3}}}$ , then what is the value of $x^{2} + x - 9$ ?

A) 0	B) 3√2
C) 3√3	D) 5√3

Answer & Explanation Answer: D) 5√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If "x" denotes "added to", "÷" denotes "subtracted from", "+" denotes "divided by" and "–" denotes "multiplied by", then 14 x 12 – 16 ÷ 18 = ?

A) 430	B) 180
C) 168	D) 188

Answer & Explanation Answer: D) 188

Explanation:

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A race has three parts. The speed and time required to complete the individual parts for a runner is displayed on the following chart:

Part I Part II Part III

Speed (kmph) 9 8 7.5

Time (minutes) 50 80 100

What is the average speed of this runner?

A) 8.17 kmph	B) 8.00 kmph
C) 7.80 kmph	D) 7.77 kmph

Answer & Explanation Answer: B) 8.00 kmph

Explanation:

Avg speed = Tot dist/Tot time = (45+64+75)/23 = 184/23

= 8 kmph

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Filed Under: Time and Distance
Exam Prep: Bank Exams

Q:

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.
One who values practicality

A) Apotheosis	B) Pliable
C) Pragmatist	D) Realist

Answer & Explanation Answer: C) Pragmatist

Explanation:

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Filed Under: English
Exam Prep: Bank Exams

Q:

Improve the bracketed part of the sentence.
If (you will approach) her sincerely, she will listen to your problem definitely.

A) you approach	B) you are approaching
C) you will be approaching	D) No improvement

Answer & Explanation Answer: A) you approach

Explanation:

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Filed Under: English
Exam Prep: Bank Exams

Q:

Improve the bracketed part of the sentence.
The mobile phones have made digital cameras a little (superfluous) in today's world.

A) extinct	B) obsolete
C) redundant	D) No improvement

Answer & Explanation Answer: B) obsolete

Explanation:

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Filed Under: English
Exam Prep: Bank Exams

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