1
GATE CSE 2022
MCQ (Single Correct Answer)
+2
-0.67

Consider three floating point numbers A, B and C stored in registers RA, RB and RC, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows.

GATE CSE 2022 Digital Logic - Number Systems Question 6 English

Which one of the following is FALSE?

A
A + C = 0
B
C = A + B
C
B = 3C
D
(B $$-$$ C) > 0
2
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

Consider the following two statements with respect to the matrices Am $$\times$$ n , Bn $$\times$$ m , Cn$$\times$$ n and Dn $$\times$$ n .

Statement 1 : tr(AB) = tr(BA)

Statement 2 : tr(CD) = tr(DC)

where tr( ) represents the trace of a matrix. Which one of the following holds?

A
Statement 1 is correct and Statement 2 is wrong.
B
Statement 1 is wrong and Statement 2 is correct.
C
Both Statement 1 and Statement 2 are correct.
D
Both Statement 1 and Statement 2 are wrong.
3
GATE CSE 2022
MCQ (More than One Correct Answer)
+1
-0

Which of the following statements is/are TRUE for a group G?

A
If for all x, y $$\in$$ G, (xy)2 = x2y2, then G is commutative.
B
If for all X $$\in$$ G, x2 = 1, then G is commutative. Here, 1 is the identity element of G.
C
If the order of G is 2, then G is commutative.
D
If G is commutative, then a subgroup of G need not be commutative.
4
GATE CSE 2022
Numerical
+1
-0

Consider a simple undirected graph of 10 vertices. If the graph is disconnected, then the maximum number of edges it can have is __________.

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