Binomial Theorem and Mathematical lnduction Test

Result

Binomial Theorem and Mathematical lnduction Test - 28

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Weekly Quiz Competition

Question 1
4 / -1

The sum of the coefficients of even power of x in the expansion of (1 + x + x² + x³)⁵ is

A
256

B
128

C
512

D
64

Solution
Question 2
4 / -1

The sum of the last eight coefficients in the expansion of (1 + x)¹⁵ is

A
2¹⁶

B
2¹⁵

C
2¹⁴

D
None of these

Solution
Question 3
4 / -1

The number 111 ....... 1(91) times is

A
Not a prime

B
An even number

C
Not an odd number

D
None of these

Solution
Question 4
4 / -1

The sum of coefficients in the expansion of (x + 2y + 3z)⁸ is

A
3⁸

B
5⁸

C
6⁸

D
None of these

Solution
Question 5
4 / -1

In the expansion of (1 + x)⁵⁰, the sum of the coefficients of odd powers of x is

A
0

B
2⁴⁹

C
2⁵⁰

D
2⁵¹

Solution
Question 6
4 / -1

In the expansion of (1 + x)⁵, the sum of the coefficient of the terms is

A
80

B
16

C
32

D
64
Question 7
4 / -1

A

B
2¹⁹

C
²⁰C₁₀

D
None of these

Solution
Question 8
4 / -1

If (1 + ax)ⁿ = 1+ 8x + 24x² + ..., then the value of a and n is

A
2,4

B
2,3

C
3,6

D
1,2

Solution
Question 9
4 / -1

The coefficient of x⁵ in the expansion of (1 + x²)⁵ (1 + x)⁴ is

A
30

B
60

C
40

D
None of these

Solution
Question 10
4 / -1

The value of x in the expression [x + x^log₁₀(x)]⁵, if the third term in the expansion is 10,00,000

A
10

B
11

C
12

D
None of these

Solution