ISRO CS 2016

Question 1
Which of the following is true?
Cross
\\sqrt{3}+\\sqrt{7}=\\sqrt{10}
Cross
\\sqrt{3}+\\sqrt{7}\\leqslant \\sqrt{10}
Cross
\\sqrt{3}+{\\sqrt{7}< \\sqrt{10}}
Tick
\\sqrt{3}+{\\sqrt{7}> \\sqrt{10}}


Question 2
A given connected graph is a Euler Graph if and only if all vertices of are of
Cross
same degree
Tick
even degree
Cross
odd degree
Cross
different degree


Question 3
The maximum number of edges in a n-node undirected graph without self loops is
Cross
n2
Tick
n(n-1)/2
Cross
n-1
Cross
n(n+1)/2


Question 4
The minimum number of NAND gates required to implement the Boolean function A + AB'+ AB'C is equal to
Tick
0
Cross
1
Cross
4
Cross
7


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:
Tick
AB + AC + BC
Cross
A + BC
Cross
A + B
Cross
A + B + C


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
Cross
D = AB + A\'B , X = A\'B
Cross
D = A\'B + AB\' , X = AB\'
Tick
D = A\'B + AB\' , X = A\'B
Cross
D = AB + A\'B , X = AB\'


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            0
D = 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?
Cross
Gate No. 1
Tick
Gate No. 2
Cross
Gate No. 3
Cross
Gate No. 4


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
Cross
combinational circuit alone
Cross
sequential circuit only
Tick
Both (a) and (b)
Cross
None of the above


Question 9
The logic circuit given below converts a binary code into
Cross
Excess-3 code
Tick
Gray code
Cross
BCD code
Cross
Hamming Code


Question 10
The circuit given below in the figure below is
Tick
An oscillating circuit and its output is square wave
Cross
The one whose output remains stable in \'1\' state
Cross
The one having output remains stable in \'0\' state
Cross
has a single pulse of three times propagation delay


There are 72 questions to complete.

  • Last Updated : 07 Oct, 2020

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