Q.)If X = , then X divided by 70 leaves a remainder of
[CAT 1995 Question , CAT Question, Number System , Remainder , Odd , Even , MBA Questions]
even + odd + even + odd = even + even + odd + odd = even
Hence, X is divisible by 2 as X is even.
Now , We know that
can be regrouped as
So, X will also be divisible by 35.
Hence, X is divisible by 2 and 35 both. Hence, X is divisible by 70.
So, the remainder obtained when X is divided by 70 = 0