ISRO Scientist or Engineer Computer Science 2016

Instructions

For the following questions answer them individually

Question 1

Which of the followingis true?

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Question 2

What is the sum to infinity of the series,
$$3+6x^{2}+9x^{4}+12x^{6}+$$........given $$\mid x$$ < 1 ?

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Question 3

$$\lim_{x \rightarrow o} \frac{\sqrt{1+x}-\sqrt{1-x}}{x}$$ is given by

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Question 4

If (G, -) is a group such that $$(ab)^{-1} =a_{-1} b^{-1}$$, $$\forall a,b \in G$$ then G is $$\frac{a}{an}$$

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Question 5

A given connected graph G is a Euler Graphif and only if all vertices of G are of

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Question 6

Maximum number of edges in a n—node undirected graph withoutself-loops is

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Question 7

The mimmum number of NAND gates required to implement the Boolean function $$A+A \bar B+A \bar B C $$ is equal to

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Question 8

The minimum Boolean expression for the following circuit is

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Question 9

For a binary half-subtractor having two inputs A and B, the correct set of logical expression for the outputs D (= A minus B) and X = borrow) are

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Question 10

Consider the following gate network


Which one of the following gates is redundant?

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