Binomial Theorem and Mathematical lnduction Test

Result

Binomial Theorem and Mathematical lnduction Test - 39

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
6

B
7

C
4

D
5
Question 2
4 / -1

A
5

B
6

C
7

D
8

Solution
Question 3
4 / -1

A
3

B
4

C
5

D
6
Question 4
4 / -1

A

B

C

D
Question 5
4 / -1

A
4

B
7

C
8

D
9
Question 6
4 / -1

If the sum of Co-efficient is 4096 in expansion of (x + y)ⁿ then the greatest Co-efficient is ______

A
792

B
924

C
1594

D
2990
Question 7
4 / -1

Co-efficient of x^r is denoted by a_r in expansion of (x + 1)^p+q then

A

B

C

D
None
Question 8
4 / -1

If co-efficients of (r + 2)th term and 3r th term are equal in expansion of (1 + x)²ⁿ, n, r ϵ N, r > 1, n > 2 then n =______

A
3r

B
3r + 1

C
2r

D
2r + 1
Question 9
4 / -1

A
33

B
34

C
35

D
32
Question 10
4 / -1

s(k) : 1 + 3 + 5 +----- + (2k - 1) = 3 + k² then which statement is true ?

A
s(k) ⇒ s (k - 1)

B
s(k) ⇒ s (k + 1)

C
s (1) is true

D
Result is proved by Principle of Mathematical induction