Binomial Expansion Formula is an important topic in the Mathematics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.
This article gives you a full set of BITSAT PYQs for Binomial Expansion Formula with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Binomial Expansion Formula questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.
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BITSAT PYQs for Binomial Expansion Formula with Solutions
1.
The coefficient of $x^3$ in the expansion of $\left(x -\frac{1}{x}\right)^{7}$ is :- 14
- 21
- 28
- 35
2.
The coefficient of $x^{20}$ in the expansion of $(1 + x^2)^{40} . (x^2 + 2 + \frac{1}{x^2})^{-5}$ is- $^{30}C_{10}$
- $^{30}C_{25}$
- $1$
- None of these
3.
The coefficient of $x^4$ in the expansion of $(1 + x + x^2 + x^3)^{11}$, is- 440
- 770
- 990
- 1001
4.
The coefficient of $x^2$ term in the binomial expansion of $\left(\frac{1}{3}x^{1/2}+x^{-1/4}\right)^{10}$ is :- $\frac{70}{243}$
- $\frac{60}{423}$
- $\frac{50}{13}$
- none of these
5.
If $T_0, T_1, T_2.....T_n$ represent the terms in the expansion of $ (x + a)^n$, then $(T_0 -T_2 + T_4 - .......)^2 + (T_1 - T_3 + T_5 - .....)^2 =$- $(x^2 + a^2 )$
- $(x^2 + a^2 )^n$
- $(x^2 + a^2 )^{1/n}$
- $(x^2 + a^2 )^{-1/n}$
6.
The coefficient of the middle term in the expansion of $(2 + 3x)^4$ is :- 6
- 5!
- 8!
- 216
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