Question : A number x, when divided by 289, leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value of y is:
Option 1: 5
Option 2: 2
Option 3: 7
Option 4: 1
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Correct Answer: 1
Solution :
Given: A number x, when divided by 289, leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder.
Here 289 is divisible by 17, so, we divide the given remainder 18 by 17 to get the required remainder.
The remainder, when 18 is divided by 17, is 1.
Hence, the value of y is 1.
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