1
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

If $$4^n+15n+P$$ is divisible by 9 for all $$n\in N$$, then the least negative integral value of P is

A
$$-1$$
B
$$-2$$
C
$$-3$$
D
$$-4$$
2
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The total number of terms in the expansion of $${(x + y)^{100}} + {(x - y)^{100}}$$ is

A
49
B
50
C
51
D
99
3
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The coefficient of $${x^{20}}$$ in the expansion of $${(1 + 3x + 3{x^2} + {x^3})^{20}}$$ is

A
$${}^{60}{C_{40}}$$
B
$${}^{30}{C_{20}}$$
C
$${}^{15}{C_2}$$
D
None of these
4
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

In the expansion of $${(1 - 3x + 3{x^2} - {x^3})^{2n}}$$, the middle term is

A
$$(n+1)$$th term
B
$$(2n+1)$$th term
C
$$(3n+1)$$th term
D
None of these
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