Binomial Theorem and Mathematical lnduction Test

Result

Binomial Theorem and Mathematical lnduction Test - 33

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
5

B
6

C
7

D
8
Question 2
4 / -1

The co-efficient of middle term in expansion of (2x - 3y)⁴ is....................

A
–96

B
216

C
–216

D
96
Question 3
4 / -1

A
5

B
–5

C
4

D
–4

Solution
Question 4
4 / -1

A

B

C

D
Question 5
4 / -1

If sum of Even terms are denoted by E and sum of odd terms are denoted by O in expansion of (x + a)ⁿ then O² – E² =_______

A
x² – a²

B
(x² – a²)ⁿ

C
x²ⁿ – a²ⁿ

D
None of these

Solution
Question 6
4 / -1

A
4ⁿ

B
5ⁿ

C
4^–n

D
5^–n

Solution
Question 7
4 / -1

(10.1)⁵ =

A
105101.501

B
105101.0501

C
105101.00501

D
105101.05001

Solution
Question 8
4 / -1

If a, b ϵ N, a ≠ b then for r ϵ N, aⁿ -bⁿ is divisible by ________

A
a – b

B
b –a

C
both (a) and (b)

D
None of these
Question 9
4 / -1

(1.1)¹⁰⁰⁰⁰ ______1000

A
>

B
<

C
=

D
None of these
Question 10
4 / -1

A

B

C

D