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When a positive integer \(x\) is divided by 18, the remainder is 11

Theory: Dividend = Divisor*Quotient + Remainder

x -> Dividend
18 -> Divisor
a -> Quotient (Assume)
11 -> Remainders
=> x = 18*a + 11 = 18a + 11

What is the remainder when \(x\) is divided by 9?

x = 18a + 11 = 9*2a + 9 + 2 = 9* (2a + 2) + 2
=> x when divided by 9 gives 2a + 2 as quotient and 2 as remainder

So, Answer will be B
Hope it helps!

Playlist on Solved Problems on Remainders here

Watch the following video to MASTER Remainders