The square of which of the following would be even number?

a)
2826

b)
7779

c)
1057

d)
131

Correct answer is option 'A'. Can you explain this answer?

Question

The square of which of the following would be even number?a)2826          b)7779       c)1057       d)131Correct answer is option 'A'. Can you explain this answer?

Answer

Since the square of an odd natural number is odd and that of an even number is an even number.

∴ (i) The square of 431 is an odd number

(∵ 431 is an odd number)

(ii) The square of 2826 is an even nnumber.

(∵ 2826 is an even number)

(iii) The square of 7779 is an odd number

(∵ 7779 is an odd number)

(iv) The square of 131 is an odd nnumber.

(∵ 82004 is an odd number)

Answer

Yes the correct answer is A because the square of the last digit of 2826 is 36 whose last digit is 6 which is an even number

Answer

This is because the square of even number is always even

Answer

You can check it out through unit digit sq. of 1,3,5,7,9 is always odd it is the best trick to use

Answer

Since the square of an odd natural number is odd and that of an even number is an even number.

∴ (i) The square of 431 is an odd number

(∵ 431 is an odd number)

(ii) The square of 2826 is an even nnumber.

(∵ 2826 is an even number)

(iii) The square of 7779 is an odd number

(∵ 7779 is an odd number)

(iv) The square of 131 is an odd nnumber.

(∵ 82004 is an odd number)

Answer

The correct option is a hence;
we can use the trick of:
1. the square of even number is even
2. the square of the odd number is odd

to double check the trick:
. 2826 square=7986276
. 7779 square=60512841
. 1057 square=1117249
. 131 square =17161

Answer

A number which is divisible by 2 is called even number.So 2826 is divisible and it is even square number

Answer

To determine which square would result in an even number, we need to understand the properties of even and odd numbers.

An even number is any integer that is evenly divisible by 2. In other words, if we divide an even number by 2, the remainder will be 0.

On the other hand, an odd number is any integer that is not evenly divisible by 2. When an odd number is divided by 2, the remainder will be 1.

Now, let's evaluate the given options to find the square that would result in an even number:

a) 2826:
To find out if 2826 is even or odd, we can divide it by 2. If the remainder is 0, it is even; otherwise, it is odd.
2826 ÷ 2 = 1413 remainder 0

Since the remainder is 0, we can conclude that 2826 is an even number. Taking the square of an even number will always result in an even number.

b) 7779:
7779 ÷ 2 = 3889 remainder 1

Since the remainder is 1, we can conclude that 7779 is an odd number. Taking the square of an odd number will always result in an odd number.

c) 1057:
1057 ÷ 2 = 528 remainder 1

Since the remainder is 1, we can conclude that 1057 is an odd number. Taking the square of an odd number will always result in an odd number.

d) 131:
131 ÷ 2 = 65 remainder 1

Since the remainder is 1, we can conclude that 131 is an odd number. Taking the square of an odd number will always result in an odd number.

Therefore, the only option whose square would result in an even number is option 'a) 2826'.

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