Question

Number of the form $3N+2$ will leave remainder $2$ when divided by $3$

• A. True
• B. False

Answer 1

The correct option is A True

Given form of number is $3N+2$

$3N$ always represent number which is multiple of $3$.

A number which is multiple of $3$ is always an exact divisor of $3$.

Any positive number less than $3$ added to $3N$ is remainder.

For example:

$22=\left(3\times 7\right)+1$

Hence, it is true that number of the form $3N+2$ will leave remainder $2$ when divided by $3$