1
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.
2
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 __________.

Your input ____
3
GATE CSE 2022
Numerical
+1
-0

The number of arrangements of six identical balls in three identical bins is ___________.

Your input ____
4
GATE CSE 2022
Numerical
+1
-0

The value of the following limit is _____________.

$$\mathop {\lim }\limits_{x \to {0^ + }} {{\sqrt x } \over {1 - {e^{2\sqrt x }}}}$$

Your input ____
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