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Series Completion Questions and Answers

Important Instructions
Direction for [ Question No: 91 To 95 ] :

In each of the following questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern.

91.

4, 8, 16, 32, 64… 256

Answer: A

Correct answer: 128

Each term is double the one before, so between 64 and 256 stands \( 64 \times 2 = \mathbf{128} \).

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92.

5, 20, 80, 320, … 1280

Answer: A

Correct answer: 5120

Each term is four times the one before: \( 5, 20, 80, 320, 1280 \), so the term after 1280 is \[ 1280 \times 4 = \mathbf{5120} \]

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93.

3,6,9,12,15,…. 21

Answer: D

Correct answer: 18

The series rises by 3 each time, so between 15 and 21 stands \( 15 + 3 = \mathbf{18} \).

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94.

55, 50, 45, 40,….30

Answer: C

Correct answer: 35

The series falls by 5 each time, so between 40 and 30 stands \( 40 - 5 = \mathbf{35} \).

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95.

16, 24, 36,… 81

Answer: B

Correct answer: 54

Each term is one and a half times the one before: \( 16 \times \tfrac32 = 24 \), \( 24 \times \tfrac32 = 36 \), so \[ 36 \times \tfrac32 = \mathbf{54} \] and \( 54 \times \tfrac32 = 81 \), as shown.

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96.

3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?

Answer: B

The given sequence is a combination of two series :

I. 3, 7, 13, 21, 31, ? and II. 4, 7, 13, 22, 34

The pattern in I is + 4, + 6, + 8, + 10,.....

The pattern in II is + 3, + 6, + 9, + 12,.....

So, missing term = 31 + 12 = 43.

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97.

5040, 720, 120, 24, ….2,1

Answer: C

Correct answer: 6

The terms are the factorials counting downwards: \( 7! = 5040 \), \( 6! = 720 \), \( 5! = 120 \), \( 4! = 24 \), so the next is \( 3! = \mathbf{6} \), followed by \( 2! = 2 \) and \( 1! = 1 \).

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98.

4, 16, 36, 64, …. 144

Answer: C

Correct answer: 100

The terms are the squares of the even numbers: \( 2^2=4 \), \( 4^2=16 \), \( 6^2=36 \), \( 8^2=64 \), so the next is \( 10^2 = \mathbf{100} \), followed by \( 12^2 = 144 \).

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99.

1, 4, 9, 16, 25, 36, 49, … 81

Answer: C

Correct answer: 64

The terms are the squares in order, \( 1^2 \) to \( 7^2 \), so the next is \( 8^2 = \mathbf{64} \), followed by \( 9^2 = 81 \).

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100.

17, 26, 37, 50, 65,….101

Answer: A

Correct answer: 82

Each term is one more than a square: \( 4^2+1=17 \), \( 5^2+1=26 \), \( 6^2+1=37 \), \( 7^2+1=50 \), \( 8^2+1=65 \), so the next is \( 9^2+1 = \mathbf{82} \), followed by \( 10^2+1 = 101 \).

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