Q.)If X = , then X divided by 70 leaves a remainder of

(a)0

(b)1

(c)69

(d)35

[CAT 1995 Question , CAT Question, Number System , Remainder , Odd , Even , MBA Questions]

Solution :

X =

= even

= odd

= even

= odd

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

Now,

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

Hence, OPTION(I)