Number 7N + 1 will leave remainder 1 when divided by 7. Is the given statement true or false?

Solution:

If N = 1 then 7N + 1 = 8

If N = 2 then 7N + 1 = 15

If N =3 then 7N + 1 = 22

And so on…

8, 15, or 22 when divided by 7 leaves the remainder 1.

The statement is True(T).

✦ Try This: Number 6N + 1 will leave remainder 1 when divided by 6. Is the given statement true or false?

If N = 1 then 6N + 1 = 7

If N = 2 then 6N + 1 = 13

If N =3 then 6N + 1 = 19

And so on…

7, 13, or 19 when divided by 6 leaves the remainder 1.

The statement is True(T).

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16

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NCERT Exemplar Class 8 Maths Chapter 13 Problem 39

Number 7N + 1 will leave remainder 1 when divided by 7. Is the given statement true or false?

Summary:

Number 7N + 1 will leave remainder 1 when divided by 7. The statement is True(T).

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