A number being divided by 52 gives remainder 45. If the number is divided by 13, the remainder will beOptions51276

To solve this problem, we can use the concept of remainders and divisibility.

Let's assume the number we are looking for is represented by "x".

According to the given information, when x is divided by 52, the remainder is 45. This can be written as:

x ≡ 45 (mod 52)

Now, we need to find the remainder when x is divided by 13. We can use the concept of congruence to solve this.

Since 52 is divisible by 13, we can divide both sides of the congruence equation by 13:

x/13 ≡ 45/13 (mod 52/13)

Simplifying this equation, we get:

x/13 ≡ 3 (mod 4)

This means that when x is divided by 13, the remainder is 3.

Therefore, the correct answer is 3.