Binomial Theorem and Mathematical lnduction Test

Result

Binomial Theorem and Mathematical lnduction Test - 53

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Weekly Quiz Competition

Question 1
4 / -1

Sum of last 30 coefficients in the expansion of (1 + x)⁵⁹, when expanded in ascending powers of x is

A
2⁵⁹

B
2⁵⁸

C
2³⁰

D
2²⁹

Solution
Question 2
4 / -1

If the coefficient of the middle term in the expansion of (1 + x)^{2n + 2} is p and the coefficients of middle terms in the expansion of (1 + x)^{2n + 1} are q and r, then

A
p + q = r

B
p + r = q

C
p = q + r

D
p + q + r = 0

Solution
Question 3
4 / -1

A
1

B
2

C
3

D
4

Solution
Question 4
4 / -1

A

B

C

D
None of these

Solution
Question 5
4 / -1

A

B

C

D

Solution
Question 6
4 / -1

A
2/3

B
5/3

C
4/3

D
None of these

Solution
Question 7
4 / -1

A

B

C

D
None of these

Solution
Question 8
4 / -1

Let (1 + x)ⁿ = 1 + a₁x + a₂x² + ......a_nxⁿ. If a₁, a₂ and a₃ are in A.P. then the value of n is

A
4

B
5

C
6

D
7

Solution
Question 9
4 / -1

A
100

B
120

C
–120

D
None of these

Solution
Question 10
4 / -1

A
2ⁿ

B
0

C
3ⁿ

D
None of these

Solution