Question

# Which of the following can be a perfect square?

- A number ending in 3 or 7
- A number ending with odd number of zeros
- A number ending with even number of zeros
- A number ending in 2.

Hint:

### A perfect square is a number that can be written as the second exponent of an integer or as the product of an integer by itself. Perfect squares are sums that are the products of integers multiplied by themselves, to put it simply. A perfect square is typically expressed as x^{2}, where x is an integer and x^{2}'s value is a perfect square.

In this question, we have given four statements where we will use the concept of perfect squares.

## The correct answer is: A number ending with even number of zeros

### So as we know that perfect squares are sums that are the products of integers multiplied by themselves. We have given four statements, we will justify each sentence with an example and find which one is the correct one.

Statement 1: A number ending with odd number of zeros:

So from this example, we can see that there is no perfect square number that has odd number of zeroes at the end. So this statement is false.

Statement 2: A number ending in 3 or 7:

So from this example, we can see that there is no perfect square number that ends with 3 or 7 at the end. So this statement is false.

Statement 3: A number ending with even number of zeros:

So from this example, we can see that there are perfect squares, that have an even number of zeros at the end. So this statement is true.

Statement 4: A number ending in 2:

So from this example, we can see that there is no perfect square number that ends with 2 at the end. So this statement is false.

So from the above four statements, we can see that the third statement, which is A number ending with even number of zeros is true.

In this question, we were given 4 statements where we used the concept of a perfect square. Out of all the statements we found that a correct statement is an A number ending with an even number of zeros.

### Related Questions to study

### Which is the smallest 4-digit perfect square?

In this question we were given 4 numbers out of which we have to find the smallest 4-digit perfect square. We used the concept of perfect square and found the factors of all the numbers out of which 1024 was found to be the smallest 4-digit perfect square.

### Which is the smallest 4-digit perfect square?

In this question we were given 4 numbers out of which we have to find the smallest 4-digit perfect square. We used the concept of perfect square and found the factors of all the numbers out of which 1024 was found to be the smallest 4-digit perfect square.

### Which is the greatest three-digit perfect square?

In this question we were given 4 numbers out of which we have to find the greatest three-digit perfect square. We used the concept of perfect square and found the factors of all the numbers out of which 961 was found to be the greatest three-digit perfect square.

### Which is the greatest three-digit perfect square?

In this question we were given 4 numbers out of which we have to find the greatest three-digit perfect square. We used the concept of perfect square and found the factors of all the numbers out of which 961 was found to be the greatest three-digit perfect square.