Question

The square of which of the following number will be an even number?

1. 31 2. 69 3. 67 4. 38

Answer 1

Answer:

of course 38

Step-by-step explanation:

because 38 ×38= 1644

Answer 2

Given:

The following numbers:

31

69

67

38

To find:

The number whose square is an even number = ?

Concept used to solve:

• The concept to be used here is that, if a even number is present in units or ones place of a number, the number is considered as even.
• If a odd number is present in the units or ones place of number, the number is considered as odd number.

Solution:

Step 1 of 2

Find the square of all the given numbers.

To answer this question, the square value of all the given number in the option must be known.

Accordingly, the values are as follows:

1. $31^{2} = 961$
2. $69^{2}=4761$
3. $67^{2} = 4489$
4. $38^{2} = 1444$

Step 2 of 2

Interpret the obtained answer along with the concept

• In case of squares of number such as 31, 69, and 67, at ones place odd numbers (1,1,9) are there. Thus the square of these numbers are odd.
• On the other hand, in the square number of 38, at ones place, even number (4) is there.

Final answer:

Thus, it is inferred that, square of 38 will be a even number. Hence, option (4) is correct.