1
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

In the expansion $$\left(\frac{1}{x}+x \sin x\right)^{10}, \quad$$ the co - efficient of $$6^{\text {th }}$$ term is equal to $$7 \frac{7}{8}$$, then the principal value of $$x$$ is

A
$$45^{\circ}$$
B
$$60^{\circ}$$
C
$$25^{\circ}$$
D
$$30^{\circ}$$
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Using mathematical induction, the numbers $$a_n \delta$$ are defined by $$a_0=1, a_{n+1}=3 n^2+n+a_n, (n \geq 0)$$. Then, $$a_n$$ is equal to

A
$$n^3+n^2+1$$
B
$$n^3-n^2+1$$
C
$$n^3-n^2$$
D
$$n^3+n^2$$
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$49^n+16^n+k$$ is divisible by 64 for $$n \in N$$, then the least negative integral value of $$k$$ is

A
$$-$$1
B
$$-$$2
C
$$-$$3
D
$$-$$4
4
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
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