Bunuel wrote:

k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the value of k ?

(1) N is divisible by 9

(2) N is divisible by 5

Kudos for a correct solution.

1) For N to be divisible by 9,

The sum of the digits must be divisible by 9.

2+9+7+3+6 = 27. So from 1 to 9, the only value K can take so that N is divisible by 9 is 9 itself so sum of digits is 36.

hence k = 9

Sufficient Alone.

2) For N to be divisible by 5, K can be 4 as 29740 or k can be 9 as 29745, both are divisible by 5.

Clearly insufficient.

Hence Option 1 alone is sufficient.

Answer:A