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 3 1 5 2
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
- 3
- 1
- 5
- 2
Solution
The problem can be solved by understanding the relationship between the numbers 289 and 17.
289 is actually 17 squared (17*17).
When a number is divided by 289 and leaves a remainder of 18, that means the number is 18 more than a multiple of 289.
Since 289 is a multiple of 17 (as it's 17*17), the number is also a multiple of 17, plus 18.
Therefore, when the number is divided by 17, it will also leave a remainder of 18.
However, 18 is more than 17, so we can divide 18 by 17 again. This leaves a remainder of 1.
So, the value of y is 1.
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