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 ?
Options:
A . 2
B . 1
C . 4
D . 3
Answer: Option C Answer: (c)If the quotient in the first case be x. Then, number = 5x + 3 On Squaring, the number = $(5x + 3)^2$ = $25x^2$ + 30x + 9 On dividing by 5, remainder = 9 – 5 = 4
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