A number when divided by 18 leaves remainder 15 What is the remainder when the same number is divide...........

Quantitative Aptitude (MTS) Number System

A number when divided by 18 leaves remainder 15. What is the remainder when the same number is divided by 6?

- Let's denote the number as N.

- When N is divided by 18, it leaves a remainder of 15. This implies: N = 18k + 15 for some integer k.

- We want to find the remainder when N is divided by 6.

- Substitute N: \(N = 18k + 15\).

- Divide the expression by 6:

\begin{align*}

18k & = 3 \times 6k, \\

15 & = 2 \times 6 + 3.

\end{align*}

- Therefore, when (18k + 15) is divided by 6, the remainder is 3.

- Option:1 - 3 is the correct answer.

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