ISRO CS 2016
Question 1 |
Which of the following is true?
[TEX]\sqrt{3}+\sqrt{7}=\sqrt{10}[/TEX] | |
[TEX]\sqrt{3}+\sqrt{7}\leqslant \sqrt{10}[/TEX] | |
[TEX]\sqrt{3}+{\sqrt{7}< \sqrt{10}}[/TEX] | |
[TEX]\sqrt{3}+{\sqrt{7}> \sqrt{10}}[/TEX] |
Discuss it
Question 2 |
A given connected graph is a Euler Graph if and only if all vertices of are of
same degree | |
even degree | |
odd degree | |
different degree |
Discuss it
Question 3 |
The maximum number of edges in a n-node undirected graph without self loops is
n2 | |
n(n-1)/2 | |
n-1 | |
n(n+1)/2 |
Discuss it
Question 4 |
The minimum number of NAND gates required to implement the Boolean function A + AB'+ AB'C is equal to
0 | |
1 | |
4 | |
7 |
Discuss it
Question 4 Explanation:
A + AB'+ AB'C
=A(1+B') + AB'C
=A + AB'C
=A(1+B'C)
=A
So, no extra gate is required. Correct option is (A)
Question 5 |
The minimum Boolean expression for the following circuit is:


AB + AC + BC | |
A + BC | |
A + B | |
A + B + C |
Discuss it
Question 5 Explanation:
We need to consider the different paths through which current can flow in this circuit by making the circuit complete.
These 3 paths exist and the expression will be:
A(B+C) + AB + (A+B)C
= AB + AC + AB + AC + BC
= AB + AC + BC.
So, option (A) is correct.

Question 6 |
For a binary half-subtractor having two inputs A and B, the correct set of logical expressions for the outputs D (= A minus B) and X (=borrow) are
D = AB + A'B , X = A'B | |
D = A'B + AB' , X = AB' | |
D = A'B + AB' , X = A'B | |
D = AB + A'B , X = AB' |
Discuss it
Question 6 Explanation:
The Truth Table of half subtractor is:
A B OUTPUT BORROW 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0D = A'B + AB' X = A'B Option (D) is correct.
Question 7 |
Consider the following gate network
Which one of the following gates is redundant?

Gate No. 1 | |
Gate No. 2 | |
Gate No. 3 | |
Gate No. 4 |
Discuss it
Question 7 Explanation:
Output = w' + w'z + z'xy
= w'(1 + z) + z'xy
= w' + z'xy
From the expression, we can deduce that gate number 2 is redundant.
So, option (B) is correct.
Question 8 |
The dynamic hazard problem occurs in
combinational circuit alone | |
sequential circuit only | |
Both (a) and (b) | |
None of the above |
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Question 9 |
The logic circuit given below converts a binary code into
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Excess-3 code | |
Gray code | |
BCD code | |
Hamming Code |
Discuss it
Question 10 |
The circuit given below in the figure below is


An oscillating circuit and its output is square wave | |
The one whose output remains stable in '1' state | |
The one having output remains stable in '0' state | |
has a single pulse of three times propagation delay |
Discuss it
There are 72 questions to complete.