Mathematics
Grade-8
Easy

Question

Which of the following can be a perfect square?

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

hintHint:

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 x2, where x is an integer and x2'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:
    E x a m p l e colon
10 cross times 10 equals 100
100 cross times 100 equals 10000
    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:
    E x a m p l e colon
1 cross times 1 equals 1
2 cross times 2 equals 4
3 cross times 3 equals 9
4 cross times 4 equals 16
5 cross times 5 equals 25
10 cross times 10 equals 100
    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:
    E x a m p l e colon
10 cross times 10 equals 100
100 cross times 100 equals 10000

    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:
    E x a m p l e colon
1 cross times 1 equals 1
2 cross times 2 equals 4
3 cross times 3 equals 9
4 cross times 4 equals 16
5 cross times 5 equals 25
10 cross times 10 equals 100

    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. 

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