Find the missing number in the series: 7, 13, 21, ?, 43, 57
View answer & explanation Ans: 31
Correct Answer: 31
The differences increase by 2 each time (6, 8, 10, 12, 14), so 21 + 10 = 31.
FPSC · Other · N/A
Solved number series MCQs — 25 questions on finding the missing number in a series, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers number series.
Paper Snapshot
Questions
25
Time
25
Minutes
Subjects
1
Topics
1
Read mode shows correct answers. Attempt mode hides answers, starts timer, and shows your result after submission.
About this paper
This is the General Ability: Number Series solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 25 published questions (book pp. 783-784, all 25 printed) on finding the missing number in a series, covering difference patterns, squares and cubes, factorials, fractions and interleaved series. Every answer was re-solved from scratch against the printed Answer Key, and every question carries a worked explanation.
Paper Controls
Subject 1
Topic Section
25 solved MCQs shown directly below
Correct Answer: 31
The differences increase by 2 each time (6, 8, 10, 12, 14), so 21 + 10 = 31.
Correct Answer: 66
The differences increase by 3 each time (3, 6, 9, 12, 15, 18), so 48 + 18 = 66.
Correct Answer: 73
The differences increase by 3 each time (5, 8, 11, 14, 17), so 56 + 17 = 73.
Correct Answer: 172
The differences increase by 11 each time (11, 22, 33, 44, 55), so 117 + 55 = 172.
Correct Answer: 23
The additions alternate +2 and +4 (11 + 2 = 13, + 4 = 17, + 2 = 19, + 4 = 23, + 2 = 25), so the missing number is 23.
Correct Answer: 65
The differences double each time (2, 4, 8, 16, 32), so 33 + 32 = 65.
Correct Answer: 369
The differences triple each time (3, 9, 27, 81, 243), so 126 + 243 = 369.
Correct Answer: 101
Each term is 8 less than the previous one, so 109 - 8 = 101.
Correct Answer: 6
The subtractions shrink by 7 each time (35, 28, 21, 14, 7), so 13 - 7 = 6.
Correct Answer: 33
The subtractions grow by 4 each time (3, 7, 11, 15, 19), so 52 - 19 = 33. The printed option labels misprint (a) as "1)" and (c) as "3)"; the options are read positionally.
Correct Answer: 59
The subtractions double in size each time (3, 6, 12, 24, 48), so 107 - 48 = 59.
Correct Answer: 20
The differences are squares (0, 1, 4, 9, 16, 25), so 11 + 9 = 20. The printed series omits the comma before the blank; it is read as 6, 6, 7, 11, ?, 36, 61.
Correct Answer: 40
The differences are squares (4, 9, 16, 25, 36), so 24 + 16 = 40.
Correct Answer: 215
Each term is one less than a cube: 2^3 - 1 = 7, 3^3 - 1 = 26, 4^3 - 1 = 63, 5^3 - 1 = 124, so the next is 6^3 - 1 = 215.
Correct Answer: 129
The differences are 7, 19, 37, 61, 91, whose own differences increase by 6 (12, 18, 24, 30), so 68 + 61 = 129.
Correct Answer: 350
Each term is a cube plus its root: 2^3 + 2 = 10, 3^3 + 3 = 30, 4^3 + 4 = 68, 5^3 + 5 = 130, 6^3 + 6 = 222, so the next is 7^3 + 7 = 350.
Correct Answer: 179
Each term is doubled and then an odd number is added (x2 + 1, x2 + 3, x2 + 5, x2 + 7, x2 + 9), so 85 x 2 + 9 = 179.
Correct Answer: 120
The terms are factorials: 0! = 1, 1! = 1, 2! = 2, 3! = 6, 4! = 24, so the next is 5! = 120.
Correct Answer: 214
Each difference is twice the previous difference minus 1 (14, 27, 53, 105), so 109 + 105 = 214.
Correct Answer: 50
The differences follow x3 + 2 (3, 11, 35, 107, 323), so 15 + 35 = 50. The printed series omits the comma after the blank; it is read as 1, 4, 15, ?, 157, 480.
Correct Answer: 16/63
The numerators double (1, 2, 4, 8, 16, 32) and the denominators are one less than powers of 2 (3, 7, 15, 31, 63, 127), so the missing fraction is 16/63.
Correct Answer: 12
Two interleaved series: the odd-position terms multiply by 3 (8, 24, 72, 216) and the even-position terms divide by 3 (108, 36, 12), so the missing even-position term is 12.
Correct Answer: 13, 16
Two interleaved series, in blank order: the even-position terms increase by 3 (7, 10, 13, 16) and the odd-position terms increase by 1, then 2, then 3, then 4 (6, 7, 9, 12, 16), so the missing numbers are 13 and 16.
Correct Answer: 35
Two interleaved series, each increasing by 2: the odd-position terms are 29, 31, 33, 35 and the even-position terms are 33, 35, 37, so the next odd-position term is 35.
Correct Answer: 8
Two interleaved series: the odd-position terms increase by 1, then 2, then 3 (2, 3, 5, 8) and the even-position terms double (2, 4, 8, 16), so the missing even-position term is 8.
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
25 questions, all 25 printed in the book. No item was dropped: every keyed answer was verified by re-solving.
Finding the missing number from difference patterns that increase, double or triple, squares and cubes (including n-cubed-minus-one and n-cubed-plus-n series), factorials, fraction series, and two interleaved series, including one item with two missing numbers.
Yes. Every published answer was re-solved from scratch and checked against the book's printed Answer Key on p. 784; all 25 published answers agree with the key. Four items carry reading notes rather than overrides: Q10's option labels misprint (a) as '1)' and (c) as '3)', Q12 and Q20 each omit a comma beside the blank, and Q23 has two blanks answered as a pair — all are stated in the questions' explanations.
Number-series 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.
Explore GK360
Use these important GK360 sections to prepare for PPSC, FPSC, one paper exams, subject-wise MCQs, solved past papers and current affairs.