# If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4. Is the given statement true or false?

**Solution:**

If N is divided by 5 and it leaves the remainder 3 and when N is divisible by 2 it leaves __remainder__ zero then N = 8, 18, 28, 38, 48, 58, 68 ……

The series is an infinite series comprising numbers which when divisible by 10 will leave the remainder 8.

Hence the statement given is False(F).

**✦ Try This: **If N ÷ 15 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4. Is the given statement true or false?

If N is divided by 15 and it leaves the remainder 3 and when N is divisible by 2 it leaves remainder zero then N = 18, 48, 78, 108, 138, 168, 198 ……

The series is an infinite series comprising numbers which when divisible by 10 will leave the remainder 8 and not 4.

Hence the statement given is False(F).

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

**NCERT Exemplar Class 8 Maths Chapter 13 Problem 44**

## If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4. Is the given statement true or false?

**Summary:**

“If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4.” The statement is false(F).

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