Binomial Theorem PYQs - Last 10 Years
WB JEE / Mathematics / Algebra / 15 recent questions
MathematicsAlgebra2017-2026
Practice 15 WB JEE Mathematics questions from Binomial Theorem. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
15
PYQs on Page
Mathematics / Algebra
2017-2026
Year Range
Based on indexed question metadata
7
Last 5 Years
2022-2026
15
Last 10 Years
2017-2026
Recent Year Trend
2020
2021
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2026Latest year
20203 max PYQs/year2026
Question Types
15PYQs
MCQ86.7%
MCQM13.3%
Difficulty Mix
#1 Unknown15
7 in last 5 years15 in last 10 years
Last 10 Years Binomial Theorem Questions
Showing 15 of 15 filtered questions.
1Binomial Theorem
The term independent of $x$ in the expansion of $\left(\frac{x+1}{x^{\frac{2}{3}}-x^{\frac{1}{3}}+1}-\frac{x-1}{x-x^{\frac{1}{2}}}\right)^{15}$ is equal to
MCQ+1 / -0.252026
2Binomial Theorem
If $\sum_{r=0}^{2 n} a_r(x-2)^r=\sum_{r=0}^{2 n} b_r(x-3)^r$ and $a_k=1 \forall k \geq 1$, then the value of $\frac{b_n}{{ }^{2 n+1} C_{n+1}}$ is
MCQ+2 / -02026
3Binomial Theorem
If $\left(1+x-2 x^2\right)^6=1+a_1 x+a_2 x^2+\ldots+a_{12} x^{12}$, then the value of $a_2+a_4+a_6+\ldots+a_{12}$ is
MCQ+1 / -0.252025
4Binomial Theorem
If \(n\) is a positive integer, the value of \((2 n+1){ }^n C_0+(2 n-1){ }^n C_1+(2 n-3){ }^n C_2 +\ldots .+1 \cdot{ }^n C_n\) is
MCQM+2 / -02024
5Binomial Theorem
The coefficient of \(a^{10} b^7 c^3\) in the expansion of \((b c+c a+a b)^{10}\) is
MCQ+1 / -0.252024
6Binomial Theorem
If \(\left(1+x+x^2+x^3\right)^5=\sum_\limits{k=0}^{15} a_k x^k\) then \(\sum_\limits{k=0}^7(-1)^{\mathbf{k}} \cdot a_{2 k}\) is equal to
MCQ+1 / -0.252024
7Binomial Theorem
The number of zeros at the end of \(\left| \!{\underline {\,
{100} \,}} \right.\) is
MCQ+1 / -0.252022
8Binomial Theorem
The remainder when \({7^{{7^{{7^{{{..}^7}}}}}}}\) (22 time 7) is divided by 48 is
MCQM+2 / -02021
9Binomial Theorem
The coefficient of a3b4c5 in the expansion of (bc + ca + ab)6 is
MCQ+2 / -0.52021
10Binomial Theorem
For x\(\in\)R, x \(\ne\) \(-\)1, if \({(1 + x)^{2016}} + x{(1 + x)^{2015}} + {x^2}{(1 + x)^{2014}} + ..... + {x^{2016}} = \sum\limits_{i = 0}^{2016} {{a_i}\,.\,{x^i}}\), then a17 is equal to
MCQ+1 / -0.252021
11Binomial Theorem
If c0, c1, c2, ......, c15 are the binomial coefficients in the expansion of (1 + x)15, then the value of \({{{c_1}} \over {{c_0}}} + 2{{{c_2}} \over {{c_1}}} + 3{{{c_3}} \over {{c_2}}} + ... + 15{{{c_{15}}} \over {{c_{14}}}}\) is
MCQ+1 / -0.252020
12Binomial Theorem
The number of irrational terms in the expansion of \({\left( {{3^{{1 \over 8}}} + {5^{{1 \over 4}}}} \right)^{84}}\) is
MCQ+1 / -0.252019
13Binomial Theorem
The number (101)100 \(-\) 1 is divisible by
MCQ+1 / -0.252018
14Binomial Theorem
If n is even positive integer, then the condition that the greatest term in the expansion of (1 + x)n may also have the greatest coefficient, is
MCQ+1 / -0.252018
15Binomial Theorem
Let \({(1 + x + {x^2})^9} = {a_0} + {a_1}x + {a_2}{x^2} + ... + {a_{18}}{x^{18}}\). Then,
MCQ+1 / -0.252017