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Question (11)

QN0010114

The GP 64, 32, 16, 8, … is:

(A) increasing
(B) decreasing
(C) constant
(D) alternating

Correct Answer: B

Explanation:

Terms decrease by multiplying with .

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Question (12)

QN0010115

If the first term of a GP is 5 and the common ratio is 4, then the third term is:

(A) 20
(B) 40
(C) 80
(D) 160

Correct Answer: C

Explanation:

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Question (13)

QN0010116

The common ratio of the GP is:

(A) –2
(B) –3
(C) 3
(D) 6

Correct Answer: B

Explanation:

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Question (14)

QN0010117

Which term of the GP 3, 6, 12, 24, … is 192?

(A) 5th
(B) 6th
(C) 7th
(D) 8th

Correct Answer: C

Explanation:

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Question (15)

QN0010118

The GP 5, 5, 5, 5, … has common ratio:

(A) 0
(B) 1
(C) 5
(D) –1

Correct Answer: B

Explanation:

Equal terms give ratio 1.

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Question (16)

QN0010119

Find the 7th term of the GP 2, 4, 8, 16, …

(A) 32
(B) 64
(C) 128
(D) 256

Correct Answer: C

Explanation:

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Question (17)

QN0010120

In a GP, if and , then the second term is:

(A) 1
(B) 2
(C) 3
(D) 6

Correct Answer: C

Explanation:

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Question (18)

QN0010121

Which of the following situations represents a GP?

(A) Savings increasing by ₹100 monthly
(B) Population doubling every year
(C) Adding consecutive natural numbers
(D) Stair heights increasing equally

Correct Answer: B

Explanation:

Doubling forms a geometric progression.

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Question (19)

QN0010122

Find the common ratio of the GP 10, –20, 40, –80, …

(A) –2
(B) 2
(C) –4
(D) 4

Correct Answer: A

Explanation:

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Question (20)

QN0010123

The 5th term of the GP 81, 27, 9, 3, … is:

(A) 1
(B)
(C)
(D)

Correct Answer: A

Explanation:

Divide by 3 repeatedly.

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