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# A perfect square can never have the following digit at one’s place.

a. 1

b. 6

c. 5

d. 3

**Solution:**

We have to find if a perfect square can have 1, 6, 5 or 3 at one’s place or not.

The unit digit of a perfect square can be only 0, 1, 4, 5, 6 or 9.

The square of a number having:

1 or 9 at the unit's place ends in 1.

2 or 8 at the unit's place ends in 4.

3 or 7 at the unit's place ends at 9.

4 or 6 at the unit's place ends at 6.

5 at the unit's place ends in 5.

From the above statement,

It is clear that a perfect square can have 1, 5, 6 at the unit's place.

Therefore, 3 can never be at the unit's place of a perfect square.

**✦ Try This: **A perfect square can never have the following digit at one’s place. a. 2, b. 4, c. 6, d. 0

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

**NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 5**

## A perfect square can never have the following digit at one’s place. a. 1, b. 6, c. 5, d. 3

**Summary:**

A perfect square can never have 3 at one’s place

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