Choose the correct option. The remainder obtained on dividing 3075 by 64 is: Options Perfect square Even Prime Composite

To solve this problem, we first need to divide 3075 by 64.

3075 ÷ 64 = 48 remainder 3

So, the remainder is 3.

Now, let's analyze the options:

1. Perfect square: A perfect square is a number that can be expressed as the product of two equal integers. The remainder 3 is not a perfect square because there are no two equal integers that multiply to give 3.

2. Even: An even number is any integer that can be divided by 2 without leaving a remainder. The remainder 3 is not an even number because it cannot be divided by 2 without leaving a remainder.

3. Prime: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The remainder 3 is a prime number because its only divisors are 1 and 3.

4. Composite: A composite number is a positive integer that has at least one positive divisor other than one or itself. The remainder 3 is not a composite number because it does not have any other divisors than 1 and itself.

So, the correct option is "Prime".