TCS Company Numerical Ability Algebra

a, b, c are non negative integers such that 28a+30b+31c=365. Then a+b+c is?
a)13 b)> 13 c)

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TCS Other Question

an organisation has 3 committees. Only 2persons are members of all the 3 committes. But every pair of the committee has 3members in common. What is the least possible no of members on any one committee?
a)4 b)5 c)6 d)7
) the figure shown is an equilateral triangle of side length equal to 5 which is divided into 2unit traingles. A valid path is a path from the triangle in the top row to the row to the middle triangle in the bottom row, such that the adjacent triangles in the 4path share a common edge and the path never travels up (from lower row to higher row) or revisits a triangle. An example of such path is illustrated below. How many valid paths are possible?
a)23 b)16 c)120 d)24