# ISRO CSE 2016

 Question 1
Which of the following is true ?
 A $\sqrt{3}+\sqrt{7}=\sqrt{10}$ B $\sqrt{3}+\sqrt{7}\leq \sqrt{10}$ C $\sqrt{3}+\sqrt{7} \lt \sqrt{10}$ D $\sqrt{3}+\sqrt{7} \gt \sqrt{10}$
General Aptitude   Numerical Ability
Question 1 Explanation:
 Question 2
What is the sum to infinity of the series,
$3+6 x^{2}+9 x^{4}+12 x^{6}+\ldots \text { given }|x| \lt 1$
 A $\frac{3}{(1+x^{2})}$ B $\frac{3}{(1+x^{2})^{2}}$ C $\frac{3}{(1-x^{2})^{2}}$ D $\frac{3}{(1-x^{2})}$
Engineering Mathematics   Numerical Method
Question 2 Explanation:
 Question 3
$\lim_{x\rightarrow 0}\frac{\sqrt{1+x}-\sqrt{1-x}}{x}$ is given by
 A 0 B -1 C 1 D $\frac{1}{2}$
Engineering Mathematics   Calculus
Question 3 Explanation:
 Question 4
$f (G,.)$ is a group such that $(ab)^{-1}=a^{-1}b^{-1},\forall a,b \in G$, then $G$ is a/an
 A Commutative semi group B Abelian group C Non-abelian group D None of these
Discrete Mathematics   Group Theory
Question 4 Explanation:
 Question 5
A given connected graph G is a Euler Graph if and only if all vertices of G are of
 A same degree B even degree C odd degree D different degree
Discrete Mathematics   Graph Theory
Question 5 Explanation:
 Question 6
The maximum number of edges in a n-node undirected graph without self loops is
 A $n^2$ B $\frac{n(n-1)}{2}$ C n-1 D $\frac{(n+1)(n)}{2}$
Discrete Mathematics   Graph Theory
Question 6 Explanation:
 Question 7
The minimum number of $\text{NAND}$ gates required to implement the Boolean function $A + A\bar{B} + A\bar{B}C$ is equal to
 A 0 (Zero) B 1 C 4 D 7
Digital Logic   Boolean Algebra
Question 7 Explanation:
 Question 8
The minimum Boolean expression for the following circuit is A AB+AC+BC B A+BC C A+B D A+B+C
Digital Logic   Boolean Algebra
Question 8 Explanation:
 Question 9
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
 A $D=AB+\bar{A}B, X=\bar{A}B$ B $D=\bar{A}B+A\bar{B}, X=A\bar{B}$ C $D=\bar{A}B+A\bar{B}, X=\bar{A} B$ D $D=AB+\bar{A}B, X=A\bar{B}$
Digital Logic   Combinational Circuit
Question 9 Explanation:
 Question 10
Consider the following gate network Which one of the following gates is redundant?
 A Gate No. 1 B Gate No. 2 C Gate No. 3 D Gate No. 4
Digital Logic   Boolean Algebra
Question 10 Explanation:
There are 10 questions to complete. 