ISRO CSE 2016

Which of the following is true ?

What is the sum to infinity of the series,
3+6 x^{2}+9 x^{4}+12 x^{6}+\ldots \text { given }|x| \lt 1

\lim_{x\rightarrow 0}\frac{\sqrt{1+x}-\sqrt{1-x}}{x} is given by

f (G,.) is a group such that (ab)^{-1}=a^{-1}b^{-1},\forall a,b \in G, then G is a/an

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

The maximum number of edges in a n-node undirected graph without self loops is

The minimum number of \text{NAND} gates required to implement the Boolean function A + A\bar{B} + A\bar{B}C is equal to

The minimum Boolean expression for the following circuit is

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

Consider the following gate network

Which one of the following gates is redundant?