Find the wrong number in the series: 1, 9, 27, 49, 81, 121
View answer & explanation Ans: 27
Correct Answer: 27
The terms should be odd squares: 1, 9, 25, 49, 81, 121, so 27 is the wrong number (it should be 25).
FPSC · Other · N/A
Solved wrong number in the series MCQs — 15 questions on spotting the number that breaks the pattern, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers wrong number series.
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Questions
15
Time
15
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1
Topics
1
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About this paper
This is the General Ability: Wrong Number in the Series solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 15 published questions (book pp. 784-785, all 15 printed) on spotting the single number that breaks a series, covering odd squares, doubling and halving patterns, cubes, interleaved series and successive division. Every answer was re-solved from scratch against the printed Answer Key, and every question carries a worked explanation.
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Subject 1
Topic Section
15 solved MCQs shown directly below
Correct Answer: 27
The terms should be odd squares: 1, 9, 25, 49, 81, 121, so 27 is the wrong number (it should be 25).
Correct Answer: 58
The differences shrink by 2 each time (12, 10, 8, 6, 4), so 53 + 4 = 57, not 58.
Correct Answer: 30
Each term is double the previous term plus 1 (1, 3, 7, 15, 31, 63), so 30 is the wrong number (it should be 31). The printed option labels misprint (b) as "2)" and (d) as "4)"; the options are read positionally.
Correct Answer: 53
From 47 onward the series falls by 7 each time (47, 40, 33, 26, 19), so 53 is the wrong number (it should be 54). The printed option labels misprint (b) as "2)" and (d) as "4)"; the options are read positionally.
Correct Answer: 8
The differences should be 0, 1, 2, 3, 4, giving 1, 1, 2, 4, 7, 11, so 8 is the wrong number (it should be 7). The printed option labels misprint (b) as "2)" and (d) as "4)"; the options are read positionally.
Correct Answer: 18
The falls halve each time (16, 8, 4, 2), giving 50, 34, 26, 22, 20, so 18 is the wrong number (it should be 20). The printed option labels misprint (b) as "2)" and (d) as "4)"; the options are read positionally.
Correct Answer: 64
The differences grow by 8 each time (8, 16, 24, 32), giving 0, 8, 24, 48, 80, so 64 is the wrong number (it should be 80).
Correct Answer: 27
Each term is a cube plus 2 (1^3 + 2 = 3, 2^3 + 2 = 10, 4^3 + 2 = 66, 5^3 + 2 = 127, 6^3 + 2 = 218), so 27 is the wrong number (it should be 29). Option (a) 9 is not a term of the printed series.
Correct Answer: 93
Each term is three times the previous term plus 1 (3, 10, 31, 94, 283), so 93 is the wrong number (it should be 94).
Correct Answer: 8
The differences double each time (1, 2, 4, 8, 16), giving 2, 3, 5, 9, 17, 33, so 8 is the wrong number (it should be 9). Option (c) 4 is not a term of the printed series.
Correct Answer: 55
The rule alternates multiply by 2 and add 1, then multiply by 2 and subtract 1 (3, 7, 13, 27, 53, 107), so 55 is the wrong number (it should be 53).
Correct Answer: 78
Two interleaved series: the odd-position terms rise by 16, then 24, then 32 (5, 21, 45, 77) and the even-position terms rise by 12, then 20 (6, 18, 38), so 78 is the wrong number (it should be 77).
Correct Answer: 10
Dividing successively by 1, 2, 3, 4 and 5 gives 480, 480, 240, 80, 20, 4, so 10 is the wrong number (it should be 4). The printed key (d) 480 is rejected: both 480s fit the rule.
Correct Answer: 64
The rule alternates multiply by 2 and add 3 (2, 4, 7, 14, 17, 34, 37, 74), so 64 is the wrong number (it should be 74).
Correct Answer: 7
Two interleaved series: the odd-position terms rise by 1 (2, 3, 4, 5) and the even-position terms rise by 2 (2, 4, 6, 8), so 7 is the wrong number (it should be 8).
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
15 questions, all 15 printed in the book. No item was dropped: every keyed answer was verified by re-solving.
Spotting the number that breaks the pattern: odd squares, difference patterns that shrink, double or halve, cubes plus a constant, multiply-and-add rules, two interleaved series, and successive division.
Yes. Every published answer was re-solved from scratch and checked against the book's printed Answer Key at the top of p. 785. Fourteen published answers agree with the key; one is corrected: Q38's printed key (d) 480 is rejected because successive division by 1, 2, 3, 4 and 5 gives 480, 480, 240, 80, 20, 4, so the wrong number is 10. Six items carry reading notes rather than overrides: Q28-Q31 misprint the (b) and (d) option labels as numerals, and Q33 and Q35 each carry one option that is not a series term — all are stated in the questions' explanations.
Wrong-number questions of this form appear in FPSC, PPSC, NTS, OTS and other one-paper exams, as well as CSS MPT-style quantitative sections, so the bank is tagged for all of them.
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