TCS Company Numerical Ability Probability

in a gathering of 15 person none of them was born in a leap year. find the probability that at least two have birthday on same date.

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TCS Other Question

In this question, A^B means A raised to the power B.Let f(x)=1+x+x^2+......+x^6.Then reminder when f(x^7) is divided by f(x)is:
(a)6
(b)7
(c)0
(d)none
Mr A took up the sum of natural numbers, by mistaken he add a number twice and find the sum to be 1000.Find the repeated number.
a)23 b)11 c)9 d)10