On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? *1 point03511
Question
On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?
Solution
The problem states that when a certain number is divided by 357, the remainder is 39. This means that the number can be expressed in the form of 357n + 39, where n is the quotient.
We need to find the remainder when this number is divided by 17.
So, we need to find the remainder of (357n + 39) ÷ 17.
We know that 357 is divisible by 17 (since 357 = 17 * 21). Therefore, 357n will also be divisible by 17 for any integer value of n.
So, the remainder when 357n is divided by 17 will be 0.
Now, we only need to find the remainder when 39 is divided by 17.
When 39 is divided by 17, the remainder is 5.
So, the remainder when the original number is divided by 17 will also be 5.
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