The Devil’s Number

Topic: Numbers

Difficulty: 6/10

 

Hint in 3…..

 

2………

 

1………

 

N is always greater than 66 (since the remainder is 66)

 

 

Solution in 3…..

 

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FULL SOLUTION

Step 1: N must meet two criteria.

It is a factor of 600(subtract 66 from 600) and it is greater than 66.

Step 2: List down the numbers which match the criteria. (75, 100, 120, 150, 200, 300, 600)

Step 3: Adding up, we get N = 7