1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If n > 1 is an integer and x $$\ne$$ 0, then (1 + x)n $$-$$ nx $$-$$ 1 is divisible by

A
nx3
B
n3x
C
x
D
nx
2
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25
Change Language

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

A
21
B
31
C
32
D
64
3
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

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

A
25
B
45
C
0
D
44
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The coefficient of $$a^{10} b^7 c^3$$ in the expansion of $$(b c+c a+a b)^{10}$$ is

A
140
B
150
C
120
D
160
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