1
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

$${2^{3n}} - 7n - 1$$ is divisible by

A
64
B
36
C
49
D
25
2
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

Number of terms in the binomial expansion of $$(x+a)^{53}+(x-a)^{53}$$ is

A
25
B
26
C
27
D
26.5
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

The coefficient of $$x^{10}$$ in the expansion of $$1+(1+x)+...+(1+x)^{20}$$ is

A
19C9
B
20C10
C
21C11
D
22C12
4
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

Middle term in the expansion of $${\left( {{x^2} + {1 \over {{x^2}}} + 2} \right)^n}$$ is

A
$${{n!} \over {{{(n!)}^2}}}$$
B
$${{(2n)!} \over {{{(n!)}^2}}}$$
C
$${{(2n - 1)!} \over {n!}}$$
D
$${{(2n)!} \over {n!}}$$
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