1
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If A = {1, 2, 5, 6} and B = {1, 2, 3}, then (A $$\times$$ B) $$\cap$$ (B $$\times$$ A) is equal to

A
{(1, 1), (2, 1), (6, 1), (3, 2)}
B
{(1, 1), (1, 2), (2, 1), (2, 2)}
C
{(1, 1), (2, 2)}
D
{(1, 1), (1, 2), (2, 5), (2, 6)}
2
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

Total number of elements in the power set of A containing 15 elements is

A
215
B
152
C
215$$-$$1
D
215 $$-$$ 1
3
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

In the group $$(G\,{ \otimes _{15}})$$, where $$G = \{ 3,6,9,12\} $$, $${ \otimes _{15}}$$ is multiplication modulo 15, the identity element is

A
6
B
3
C
9
D
12
4
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

A group (G *) has 10 elements. The minimum number of elements of G, which are their own inverses is

A
1
B
2
C
0
D
9
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