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# The squares of which of the following would be odd numbers?

(i) 431 (ii) 2826 (iii) 7779 (iv) 82004

**Solution:**

The square of an odd number is always odd and the square of an even number is always even.

Since 431 and 7779 are odd numbers, their squares will also be odd numbers.

Let's understand in detail.

We know that when the unit's digit of a number is 1 or 9, the square of the number will also have the unit digit ending with 1. Thus the square of 431 and 7779 will have their unit digit as 1 and thus they will be odd numbers.

**ā Check: **NCERT Solutions for Class 8 Maths Chapter 6

**Video Solution:**

## The squares of which of the following would be odd numbers? (i) 431 (ii) 2826 (iii) 7779 (iv) 82004

NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.1 Question 3

**Summary:**

The squares of 431 and 7779 are odd numbers as the unit digit of these numbers are odd as well.

**ā Related Questions:**

- Observe the following pattern and find the missing digits. 112 = 121 1012 = 10201 10012 = 1002001 1000012 = 1....2....1 100000012 = ...........
- Observe the following pattern and supply the missing numbers. 112 = 121 1012 = 10201 101012 = 102030201 10101012 = ? ?2 = 10203040504030201
- Using the given pattern, find the missing numbers. 12 + 22 + 22 = 32 22 + 32 + 62 = 72 32 + 42 + 122 = 132 42 + 52 + _2 = 212 52 + -2 + 302 = 312 62 + 72 + _2 = _2
- Without adding, find the sum. (i) 1 + 3 + 5 + 7 + 9 (ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 (iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

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