Exams Questions and Answers

Q:

Find the quadratic equations whose roots are the reciprocals of the roots of $2 x^{2} + 5 x + 3$ ?

A) $3 x^{2} + 5 x + 2 = 0$

B) $5 x^{2} + 3 x + 2 = 0$

C) $3 x^{2} - 5 x - 2 = 0$

D) None

A) A	B) B
C) C	D) D

Answer & Explanation Answer: A) A

Explanation:

The quadratic equation whose roots are reciprocal of $2 x^{2} + 5 x + 3 = 0$ can be obtained by replacing x by 1/x.

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

=> $3 x^{2} + 5 x + 2 = 0$

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Filed Under: Mathematical Operations
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Q:

In which of the following fields was Prof. Richard H. Thaler awarded the Nobel Prize 2017?

A) Physics	B) Chemistry
C) Literature	D) Economics

Answer & Explanation Answer: D) Economics

Explanation:

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Q:

The difference between the simple interest on a certain sum at the rate of 10%per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05. what is the principal sum

A) Rs.6000	B) Rs.8000
C) Rs.12000	D) none of these

Answer & Explanation Answer: B) Rs.8000

Explanation:

Compound Interest on P at 10% for 2 years when interest is compounded half-yearly

= $P {(1 + \frac{\frac{R}{2}}{100})}^{2 T} - P = P {(1 + \frac{1}{20})}^{4} - P = P {(\frac{21}{20})}^{4} - P$

Simple Interest on P at 10% for 2 years = $\frac{P R T}{100} = \frac{P \times 10 \times 2}{100} = \frac{P}{5}$

Given that difference between compound interest and simple interest = 124.05

$P * {(\frac{21}{20})}^{4} - P - \frac{P}{5} = 124.05$

=> $P [{(\frac{21}{20})}^{4} - 1 - \frac{1}{5}] = 124.05$

P=8000

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Filed Under: Compound Interest
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Q:

Which among the following is different?

Super Tackle, Raider, Bowler, Defender

A) Defender	B) Super Tackle
C) Bowler	D) Raider

Answer & Explanation Answer: C) Bowler

Explanation:

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Filed Under: Odd Man Out
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Q:

What will come in place of the question mark in the series below?

7, 4.5, 5.5, 12, 49, ?

A) 393	B) 396
C) 354	D) 367

Answer & Explanation Answer: A) 393

Explanation:

Ans.
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393

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Filed Under: Numbers
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Q:

Select the figure which does NOT belong to the group.

A) A	B) B
C) C	D) D

Answer & Explanation Answer: C) C

Explanation:

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Filed Under: Odd Man Out
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Q:

In the following question, select the related letter/letters from the given alternatives.

BCE : IJL : : CDF : ?

A) KLN	B) JKM
C) JLN	D) KMN

Answer & Explanation Answer: B) JKM

Explanation:

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Filed Under: Analogy
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Q:

Which figure completes the series?

Question Figures :: Answer Figures ::

101558010123.png image

A B C D E 1 2 3 4 5

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

Answer & Explanation Answer: A) 1

Explanation:

The pattern followed in the given figures is

One, two, three, one, two, three.....arcs get inverted sequentially. This inversion takes place in an Anti Clock Wise direction.

Hence, figure 1) will come in the next to complete the series.

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Filed Under: Pattern Completion
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