1
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
64
B
36
C
49
D
25
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The total number of terms in the expansion of $$(x+y)^{60}+(x-y)^{60}$$ is

A
60
B
61
C
30
D
31
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The coefficient of $$x^{29}$$ in the expansion of $$\left(1-3 x+3 x^2-x^3\right)^{15}$$ is

A
$${ }^{45} C_{29}$$
B
$${ }^{45} C_{28}$$
C
$$-{ }^{45} C_{16}$$
D
$${ }^{45} C_{30}$$
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

In the expansion of $$\left(1+3 x+3 x^2+x^3\right)^{2 n}$$, the term which has greatest binomial coefficient, is

A
$$(3 n)$$ th term
B
$$(3 n+1)$$ th term
C
$$(3 n-1)$$ th term
D
$$(3 n+2)$$ th term
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