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General Ability: Number Series — Solved MCQs Solved MCQs

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.

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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.

mathematics-mcqs general-ability-number-series number-series-mcqs missing-number-series-mcqs number-series-solved-mcqs fpsc-past-papers mathematics ppsc nts css-mpt one-paper-exams basic-arithmetic general-ability

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General Ability: Number Series — Solved MCQs

Read mode 25 MCQs · 25 minutes

Subject 1

Mathematics

25 MCQs
1

Topic Section

Number Series

25 solved MCQs shown directly below

No Dropdown
Q 1 Mathematics Number Series

Find the missing number in the series: 7, 13, 21, ?, 43, 57

A

27

B

29

C

31

D

35

View answer & explanation Ans: 31

Correct Answer: 31

The differences increase by 2 each time (6, 8, 10, 12, 14), so 21 + 10 = 31.

Q 2 Mathematics Number Series

Find the missing number in the series: 3, 6, 12, 21, 33, 48, ?

A

57

B

63

C

66

D

69

View answer & explanation Ans: 66

Correct Answer: 66

The differences increase by 3 each time (3, 6, 9, 12, 15, 18), so 48 + 18 = 66.

Q 3 Mathematics Number Series

Find the missing number in the series: 18, 23, 31, 42, 56, ?

A

98

B

87

C

78

D

73

View answer & explanation Ans: 73

Correct Answer: 73

The differences increase by 3 each time (5, 8, 11, 14, 17), so 56 + 17 = 73.

Q 4 Mathematics Number Series

Find the missing number in the series: 7, 18, 40, 73, 117, ?

A

215

B

205

C

201

D

172

View answer & explanation Ans: 172

Correct Answer: 172

The differences increase by 11 each time (11, 22, 33, 44, 55), so 117 + 55 = 172.

Q 5 Mathematics Number Series

Find the missing number in the series: 11, 13, 17, 19, ?, 25

A

21

B

23

C

27

D

29

View answer & explanation Ans: 23

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.

Q 6 Mathematics Number Series

Find the missing number in the series: 3, 5, 9, 17, 33, ?

A

98

B

86

C

78

D

65

View answer & explanation Ans: 65

Correct Answer: 65

The differences double each time (2, 4, 8, 16, 32), so 33 + 32 = 65.

Q 7 Mathematics Number Series

Find the missing number in the series: 6, 9, 18, 45, 126, ?

A

369

B

359

C

329

D

317

View answer & explanation Ans: 369

Correct Answer: 369

The differences triple each time (3, 9, 27, 81, 243), so 126 + 243 = 369.

Q 8 Mathematics Number Series

Find the missing number in the series: 141, 133, 125, 117, 109, ?

A

115

B

113

C

109

D

101

View answer & explanation Ans: 101

Correct Answer: 101

Each term is 8 less than the previous one, so 109 - 8 = 101.

Q 9 Mathematics Number Series

Find the missing number in the series: 111, 76, 48, 27, 13, ?

A

4

B

6

C

8

D

12

View answer & explanation Ans: 6

Correct Answer: 6

The subtractions shrink by 7 each time (35, 28, 21, 14, 7), so 13 - 7 = 6.

Q 10 Mathematics Number Series

Find the missing number in the series: 88, 85, 78, 67, 52, ?

A

33

B

37

C

39

D

43

View answer & explanation Ans: 33

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.

Q 11 Mathematics Number Series

Find the missing number in the series: 152, 149, 143, 131, 107, ?

A

79

B

69

C

59

D

49

View answer & explanation Ans: 59

Correct Answer: 59

The subtractions double in size each time (3, 6, 12, 24, 48), so 107 - 48 = 59.

Q 12 Mathematics Number Series

Find the missing number in the series: 6, 6, 7, 11, ?, 36, 61

A

24

B

20

C

18

D

14

View answer & explanation Ans: 20

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.

Q 13 Mathematics Number Series

Find the missing number in the series: 11, 15, 24, ?, 65, 101

A

39

B

40

C

48

D

50

View answer & explanation Ans: 40

Correct Answer: 40

The differences are squares (4, 9, 16, 25, 36), so 24 + 16 = 40.

Q 14 Mathematics Number Series

Find the missing number in the series: 7, 26, 63, 124, ?

A

214

B

215

C

217

D

218

View answer & explanation Ans: 215

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.

Q 15 Mathematics Number Series

Find the missing number in the series: 5, 12, 31, 68, ?, 220

A

159

B

141

C

133

D

129

View answer & explanation Ans: 129

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.

Q 16 Mathematics Number Series

Find the missing number in the series: 10, 30, 68, 130, 222, ?

A

443

B

350

C

343

D

291

View answer & explanation Ans: 350

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.

Q 17 Mathematics Number Series

Find the missing number in the series: 3, 7, 17, 39, 85, ?

A

159

B

169

C

179

D

189

View answer & explanation Ans: 179

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.

Q 18 Mathematics Number Series

Find the missing number in the series: 1, 1, 2, 6, 24, ?

A

160

B

140

C

120

D

100

View answer & explanation Ans: 120

Correct Answer: 120

The terms are factorials: 0! = 1, 1! = 1, 2! = 2, 3! = 6, 4! = 24, so the next is 5! = 120.

Q 19 Mathematics Number Series

Find the missing number in the series: 15, 29, 56, 109, ?

A

181

B

192

C

204

D

214

View answer & explanation Ans: 214

Correct Answer: 214

Each difference is twice the previous difference minus 1 (14, 27, 53, 105), so 109 + 105 = 214.

Q 20 Mathematics Number Series

Find the missing number in the series: 1, 4, 15, ?, 157, 480

A

45

B

50

C

55

D

65

View answer & explanation Ans: 50

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.

Q 21 Mathematics Number Series

Find the missing number in the series: 1/3, 2/7, 4/15, 8/31, ?, 32/127

A

15/56

B

16/56

C

15/63

D

16/63

View answer & explanation Ans: 16/63

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.

Q 22 Mathematics Number Series

Find the missing number in the series: 8, 108, 24, 36, 72, ?, 216

A

9

B

12

C

18

D

24

View answer & explanation Ans: 12

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.

Q 23 Mathematics Number Series

Find the missing numbers in the series: 6, 7, 7, 10, 9, ?, 12, 16, ?

A

12, 16

B

12, 15

C

13, 15

D

13, 16

View answer & explanation Ans: 13, 16

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.

Q 24 Mathematics Number Series

Find the missing number in the series: 29, 33, 31, 35, 33, 37, ?

A

39

B

37

C

35

D

33

View answer & explanation Ans: 35

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.

Q 25 Mathematics Number Series

Find the missing number in the series: 2, 2, 3, 4, 5, ?, 8, 16

A

5

B

6

C

7

D

8

View answer & explanation Ans: 8

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.

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Questions

Paper practice FAQs

How many questions are in the General Ability: Number Series MCQ bank? +

25 questions, all 25 printed in the book. No item was dropped: every keyed answer was verified by re-solving.

What does the Number Series bank cover? +

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.

Are the answers verified? +

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.

Which other exams does this bank help with? +

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.

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