NumbersWhen a number is divided by 357 the remainder is 39. If that number is divided by 17, the remainder will be :Options30511
Question
NumbersWhen a number is divided by 357 the remainder is 39. If that number is divided by 17, the remainder will be :Options30511
Solution
To find the remainder when a number is divided by 17, we need to consider the remainder when the number is divided by 357.
Given that the remainder when the number is divided by 357 is 39, we can express the number as:
Number = 357k + 39
Now, we need to find the remainder when this expression is divided by 17.
Substituting the expression for the number into the equation, we have:
(357k + 39) % 17
Expanding and simplifying, we get:
(340k + 17k + 5) % 17
Since 340k is divisible by 17, we can ignore it.
Therefore, the remainder when the number is divided by 17 is 5.
So, the correct option is 5.
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