Question

Statement 1: Square numbers can never end with 2, 3, 7 or 8.

Statement 2: If a number ends with 0, 1, 4, 5, 6 or 9, it must be a square number.

Which of these statement(s) is/are right?

• A. Both are true.
• B. 1 is true & 2 is false.
• C. 1 is false & 2 is true.
• D. Both are false.

Answer 1

The correct option is B

1 is true & 2 is false.

Square numbers can never end with 2, 3, 7 or 9. The squares of first 10 whole numbers are the following :

$\begin{array}{cc}\text{n}& n^2\\ 0& 0\\ 1& 1\\ 2& 4\\ 3& 9\\ 4& 16\\ 5& 25\\ 6& 36\\ 7& 49\\ 8& 64\\ 9& 81\end{array}$

The possible options for unit place is 0, 1, 4, 5, 6, 9.

On the other hand, if a number ends with 0, 1, 4, 5, 6 or 9, it may or may not be a square number.

Ex: 10 is ending with 0 but is not a square number.