Thursday, February 6, 2014

2014/011)What is the smallest three digit palindrome divisible by 18?



it has to be divisible by both 9 and 2.As 2 and 9 are co-primes
So it has to be even and sum of digits multiple of 9.
 So the number 2x2( or if we fail try larger number) as the number is palindrome.
 Try with 2x2 and as 2 + x + 2 = 9 => x = 5 . so smallest number is 252.

No comments: