TCS Company Logical Reasoning Mathematical Reasoning

You have been given a physical balance and 7 weights of 47, 46, 43, 48, 49, 42, and 77 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 178 kgs.
1)172 2)177 3)175 4)174

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TCS Other Question

A^B means A raised to the power B.
If f(x) = ax^4 - bx^2 + x + 5 and f(-3) = 2, then f(3) = ?
1)3 2)8 3)-2 4)1
Out of a group of ducks, 7/2 times the square root of the total number are outside the pond. The remaining 15 are inside the pond. Find the total number of ducks.
1)16 2)25 3)36 4)49