A number , when divided by 552 gives a remainder 53. When it is divided by 23 , the remainder will be

Options:
A.0. B.6. C.2. D.8.

The number

n = 552k+53 = (23*24)k + 23*2 + 7
n/23 = 24k+2 R 7

Hmmm.

The specific heat capacity of silver is 0.24 J/g °C.

How many joules of energy are needed to warm 0.500 g of silver from 25.0°C to 27.5°C?

To find the remainder when a number is divided by another number, you can use the concept of modular arithmetic.

In this case, the number gives a remainder of 53 when divided by 552. This can be expressed as:

Number ≡ 53 (mod 552)

To find out what the remainder will be when the same number is divided by 23, we can simplify the equation using congruence:

Number ≡ 53 (mod 552)
Number ≡ 53 (mod 23)

Now, we need to shift the equation so that it is only in terms of the divisor, which is 23. We can do this by reducing the original divisor, 552.

552 divided by 23 is 24, with a remainder of 0.

Therefore, we can rewrite the equation as:

Number ≡ 53 (mod 552)
Number ≡ 53 (mod 0)

Since any number modulo 0 is undefined, we cannot directly determine the remainder when the number is divided by 23.

So, the answer to the given question is A.0.