Binomial Theorem and Mathematical lnduction Test

Result

Binomial Theorem and Mathematical lnduction Test - 25

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Weekly Quiz Competition

Question 1
4 / -1

The approximate value of (7.995)^1/3 correct to four decimal places is

A
1.9995

B
1.9996

C
1.9990

D
1.9991

Solution
Question 2
4 / -1

A
x

B
(1 + x)^1/3

C
(1 – x)^1/3

D
(1 – x)^–1/3

Solution
Question 3
4 / -1

If y = 3x + 6x² + 10x³ + ...., then the value of x in terms of y is

A
1 – (1 – y)^–1/3

B
1 – (1 + y)^1/3

C
1 + (1 + y)^–1/3

D
1 – (1 + y)^–1/3

Solution
Question 4
4 / -1

If the sum of the coefficients in the expansion of (x + y)ⁿ is 1024, then the value of the greatest coefficient in the expansion is

A
356

B
252

C
210

D
120

Solution
Question 5
4 / -1

49ⁿ + 16n – 1 is divisible by

A
3

B
19

C
64

D
29

Solution
Question 6
4 / -1

When P is a natural number, then P^{n + 1} + (P + 1)^{2n - 1} is divisible by

A
P

B
P² + P

C
P² + P + 1

D
P² - 1

Solution
Question 7
4 / -1

A
2ⁿ - 1

B
2ⁿ + 1

C
0

D
None of these

Solution
Question 8
4 / -1

The difference between an integers and its cube is divisible by

A
4

B
6

C
9

D
None of these

Solution
Question 9
4 / -1

A
–15/16

B
15/16

C
–16/15

D
16/15

Solution
Question 10
4 / -1

A
19

B
20

C
21

D
22