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

Three vertices are chosen randomly from the nine vertices of a regular 9-sided polygon. The probability that they form the vertices of an isosceles triangle, is

A
$$\frac{4}{7}$$
B
$$\frac{3}{7}$$
C
$$\frac{2}{7}$$
D
$$\frac{5}{7}$$
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A, B$$ and $$C$$ are mutually exclusive and exhaustive events of a random experiment such that $$P(B)=\frac{3}{2} P(A)$$ and $$P(C)=\frac{1}{2} P(B)$$, then $$P(A \cup C)$$ equals to

A
$$\frac{10}{13}$$
B
$$\frac{3}{13}$$
C
$$\frac{6}{13}$$
D
$$\frac{7}{13}$$
3
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
$$n^3+n^2$$
4
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
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