When a number is divided by 357 the remainder is 39. If that number is divided by 17, the remainder will be :Options05113

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

Given that the number is divided by 357 and the remainder is 39, we can express this as:

Number = 357 * Quotient + Remainder

Let's call the number "N". So, we have:

N = 357 * Quotient + 39

Now, we need to find the remainder when N is divided by 17. Using the same concept, we can express this as:

N = 17 * Quotient' + Remainder'

To find the value of Remainder', we can substitute the expression for N from the previous equation:

357 * Quotient + 39 = 17 * Quotient' + Remainder'

Now, we need to solve this equation to find the value of Remainder'.

To do this, we can rearrange the equation:

357 * Quotient - 17 * Quotient' = Remainder' - 39

Since we are looking for the remainder, we can ignore the quotient terms.

So, we have:

Remainder' - 39 = 0

Simplifying this equation, we find:

Remainder' = 39

Therefore, the remainder when the number is divided by 17 is 39.