1
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

In the set $$\mathrm{W}$$ of whole numbers an equivalence relation $$\mathrm{R}$$ is defined as follows $$\mathrm{aRb}$$ iff both $$\mathrm{a}$$ & $$\mathrm{~b}$$ leave the same reminder when divided by 5. The equivalence class of 1 is given by.

A
$$ \{2,7,12,17------\} $$
B
$$ \{1,6,11,16------\} $$
C
$$ \{4,9,14,19------\} $$
D
$$ \{0,5,10,15------\} $$
2
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

If $$A=\{3,5,7\}$$ and $$B=\{1,2,3,5\}$$, then $$A \times B \cap B \times A$$ is equal to

A
$$\{(3,3),(5,3),(2,7),(7,2)\}$$
B
$$\{(3,3),(3,5),(5,3),(5,5)\}$$
C
$$\{(3,3),(5,5)\}$$
D
$$\{(3,5),(5,5),(5,3)\}$$
3
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)}
4
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
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