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A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5 ?
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- 1
- 2
- 3
- 4
Correct Option: D
If the quotient in the first case be q.
Then, number = 5q + 3
On Squaring,
The number = (5q + 3)2
= 25q2 + 30q + 9
On dividing by 5, remainder = 9 – 5 = 4
Hence required answer is 4 .
