Exams Questions and Answers

Q:

For how many positive integers 'n', $n^{3} - 8 n^{2} + 20 n - 13$ is a prime?

A) 3	B) 2
C) 5	D) 7

Answer & Explanation Answer: A) 3

Explanation:

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Q:

What is the general formula of alkenes?

A) CnH2n	B) CnH2n+2
C) CnH2n-2	D) CnH2n-1

Answer & Explanation Answer: A) CnH2n

Explanation:

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Q:

What is the value of 'x' in $2 \sqrt{3 x} - 5 \sqrt{27 x} + \sqrt{108 x} = - 21 ?$

A) 0.33	B) 1
C) 3	D) 9

Answer & Explanation Answer: C) 3

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Q:

Which of the following pairs is INCORRECT?

I. Haematite : Iron

II. Pitchblende : Copper

III. Monazite : Thorium

A) Only I	B) Only II
C) Only I and Only II	D) Only I and Only III

Answer & Explanation Answer: B) Only II

Explanation:

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Q:

If $a = \sqrt{5 + 2 \sqrt{2}} & b = \sqrt{5 - 2 \sqrt{2}}$ , then find the value of $a^{2} - b^{2}$ .

A) 2	B) 4
C) 2√2	D) 4√2

Answer & Explanation Answer: D) 4√2

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Q:

Find the missing number in the given number series?

5 11 21 44 ? 175

A) 86	B) 78
C) 94	D) 102

Answer & Explanation Answer: A) 86

Explanation:

Here the given number series is 5 11 21 44 ? 175

Now the given series follows a pattern, that

x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...

Then the missing number is x2 - 2

= 44 x 2 - 2 = 88 - 2 = 86

Hence, the missing number in the number series is 86.

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Q:

Ram sell his goods 25% cheaper than Shyam and 25% dearer than Bram. How much % is Bram's good cheaper than Shyam ?

A) 60%	B) 40%
C) 50%	D) 30%

Answer & Explanation Answer: B) 40%

Explanation:

Lets say shyam sells at 100,

Since Ram sells 25% cheaper than Shyam,

Therefor Ram sells at less than 25% of100 or 75 rs.

Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or

125% of x (say x price of bram )=75rs.
or 100% of x =60rs.
hence price of bram is 60rs.

now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%.

Hence Brams Good is 40% cheaper than that of Shyam's good.

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Q:

Find the next two terms in the series

J, L, O, S, ?, ?

A) Y, B	B) X, Z
C) X, D	D) A, B

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