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The remainder when 3 2022 is divided by 5 is: [JEE Main 2022, 24 Jun (Shift 1)]

Q1 FREE PREVIEW

The remainder when 32022 is divided by 5 is:

[JEE Main 2022, 24 Jun (Shift 1)]

a

1

b

2

c

3

d

4

✓ Correct answer: d)

4

Explanation

\((3\times 3\times 3\times \ldots .2022\text{ times })\div 5\\ \text{ Remainder }=((-1)(-1)(-1)\ldots .1011\text{ times })\\ \Rightarrow \text{ Remainder }=-1+5=4\)

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