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Home > Logical Reasoning > Number Series > Questions and Answers

Direction to solve :
Direction: 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 and replace the question mark in the given series.

01. 6, 13, 25, 51, 101, ?
A. 201 B. 202
C. 203 D. 205

Answer and Explanation

Answer: 203

Explanation:
The pattern is x 2 + 1, x 2 – 1, x 2 + 1, x 2 – 1, . . . . . . . . .
So, missing term = 101 x 2 + 1 = 203

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02. 8, 28, 116, 584, ?
A. 1752 B. 3502
C. 3504 D. 3508

Answer and Explanation

Answer: 3508

Explanation:
The pattern is x 3 + 4, x 4 + 4, x 5 + 4, . . . . . .
So, missing term = 584 x 6 + 4 = 3508.

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03. 6, 13, 28, 59, ?
A. 111 B. 113
C. 114 D. 122

Answer and Explanation

Answer: 122

Explanation:
The pattern is x 2 + 1, x 2 + 2, x 2 + 3, . . . . . .
So, missing term = 59 x 2 + 4 = 122.

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04. 3, 7, 23, 95, ?
A. 62 B. 128
C. 479 D. 575

Answer and Explanation

Answer: 479

Explanation:
The pattern is x 2 + 1, x 3 + 2, x 4 + 3, . . . . . .
So, missing term = 95 x 5 + 4 = 479.

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05. 2, 3, 8, 27, 112, ?
A. 226 B. 339
C. 452 D. 565

Answer and Explanation

Answer: 565

Explanation:
The pattern is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4. . . . . .
So, missing term = 112 x 5 + 5 = 565.

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06. 1, 5, 14, 30, 55, 91, ?
A. 130 B. 140
C. 150 D. 160

Answer and Explanation

Answer: 140

Explanation:
The pattern is + 4, + 9, + 16, + 25, + 36, . . .. i.e. + 22, + 32, 42, 52 , 62, . . . . . .
So, missing term = 91 + 72 = 91 + 49 = 140.

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07. 198, 194, 185, 169, ?
A. 92 B. 112
C. 136 D. 144

Answer and Explanation

Answer: 144

Explanation:
The pattern is – 4, - 9, - 16, . . . . .i.e. - 22 , - 32, - 42 ,. . . . . .
So, missing term = 169 - 52 = 169 – 25 = 144.

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08. 2, 2, 5, 13, 28, ?
A. 49 B. 50
C. 51 D. 52

Answer and Explanation

Answer: 52

Explanation:
The pattern is + 0, + 3, + 8, + 15, . . . .. i.e. + (12 – 1), + (22 – 1), + (32 – 1), + (42 – 1), .
So, missing term, = 28 + (52 – 1) = 28 + 24 = 52.

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09. 2, 7, 27, 107, 427, ?
A. 1262 B. 1707
C. 4027 D. 4207

Answer and Explanation

Answer: 1707

Explanation:
The pattern is + 5, + 20, + 80, + 320, . . . .. i.e. + (5 x 12), + (5 x 22 ), + (5 x 42), + (5 x 82 ), . .
So, missing term, = 427 + (5 x 162) = 427 + 1280 = 1707

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