1
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
2
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
3
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
4
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
$${ }^{45} C_{30}$$
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