Question

State whether the statement given is True (T) or False (F).

Number $7N+1$ will leave remainder $1$ when divided by $7$

• A. True
• B. False

Answer 1

The correct option is A True

The given number is of the form $7N+1$

It can be written as (multiples of $7$) $+$ $1$

If a number is multiple of $7$, its always give remainder zero when divide by $7$.

Therefore, $7N+1$ will always leave a remainder $1$ when divided by $7$

For Example:

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

Hence, it is true that number $7N+1$ will leave remainder $1$ when divided by $7$.