List of top Mathematics Questions on general and middle terms asked in BITSAT

Find the term independent of \( x \) in the expansion of \( (1 + x)^{n} (1 + \frac{1}{x})^{n} \).
If the 17th and the 18th terms in the expansion of \( (2 + a)^{50} \) are equal, then the coefficient of \( x^{35} \) in the expansion of \( (a + x)^{-2} \) is:
The coefficient of the middle term in the expansion of \( (2 + 3x)^4 \) is
In the binomial (2¹/³+3⁻¹/³)ⁿ, if the ratio of the seventh term from the beginning to the seventh term from the end is 1/6, then n is equal to:
The coefficient of x³² in the expansion of (x⁴-1x³)¹5 is