Number Series Problems

This Article consist of most important questions of ” Number Series Problems ” topic that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.

Question : 1    134, 245, 356, 467, ___ ?

A. 579
B. 568
C. 578
D. 478

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Correct Answer :    C
Explanation :
Each term is obtained by adding l11 to the preceding term. Missing number = 467 + 111 = 578.

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Question : 2    2, 15, 41, 80, ___ ?

A. 111
B. 121
C. 120
D. 132

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Correct Answer :    D
Explanation :
The pattern is + 13, + 26, + 39, number = 80 + 52 = 132.

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Question : 3    2, 3, 8, 63, __ ?

A. 1038
B. 3008
C. 1998
D. 3968
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Correct Answer :    D
Explanation :
Each term in the series is one less than the square of the receding term. Thus, 2² – 1 = 3, 3² – 1, 3² – 1 = 8 8 -1= 63. Missing term = 63² – 1 = 3969 – 1 = 3968.

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Question : 4    4, 10, __ , 82, 244, 730 ?

A. 24
B. 77
C. 28
D. 218

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Correct Answer :    C
Explanation :
Each number in the series is the preceding number multiplied by 3 and then decreased by 2.

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Question : 5    121, 225, 361, __ ?

A. 441
B. 529
C. 484
D. 729

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Correct Answer :    B
Explanation :
The numbers are 11², 15², 19², … i.e. 11², (11 + 4 * 1)², (11 + 4 * 2)², Missing number = (11 + 4 * 3)² = (23)² = 529.

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Question : 6    2, 8, 13, 24, 41, __ ?

A. 70
B. 80
C. 75
D. 85

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Correct Answer :    A
Explanation :
The pattern is nth term + (n + 1)th term + (n + 1) = (n +2)th term. Thus, 1st term + 2nd term + 2 = 3rd term and so on. Missing term = 6th term = 4th term + 5th term + 5 =24 + 41 + 5 = 70.

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Question : 7    2, 5, 9, ….. , 20 , 27 ?

A. 14
B. 16
C. 18
D. 24

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Correct Answer :    A
Explanation :
The pattern is + 3, + 4, .
Missing number =9+ 5 = 14.

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Question : 8    6, 11, 21, 36, 56, … ?

A. 42
B. 91
C. 81
D. 61

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Correct Answer :    C
Explanation :
The pattern is 6 + 5, 11 + 10, 21 + 15, 36 + 20
Missing number = 56 + 25 = 81.

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Question : 9    1, 6, 15, … , 45, 66, 91 ?

A. 25
B. 27
C. 26
D. 28

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Correct Answer :    D
Explanation :
The pattern is + 5, + 9, …, + 21, + 25
Missing number 15 + 13 = 28.

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Question : 10    1,9, 17, 33, 49, 73, ….. ?

A. 99
B. 97
C. 98
D. 100

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Correct Answer :    B
Explanation :
The pattern is + 8, + 8, + 16, + 16, + 24,
Missing number = 73 + 24 = 97.

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