Choose the missing value in 35, 50, 63, 82, 99, ?.

The terms are 6² − 1, 7² + 1, 8² − 1, 9² + 1, 10² − 1. Next is 11² + 1 = 122.

An alternating rise-and-fall pattern gives 28, 30, 27, 31, 26, 32, ? . What follows?

The changes are +2, −3, +4, −5, +6, then −7. Hence 32 − 7 = 25.

The sequence 3, 5, 9, 16, 28, 48, ? adds a small increasing adjustment to a two-term sum. Find its next term.

Add the previous two terms and then 1, 2, 3, 4, 5 successively. The next term is 28 + 48 + 5 = 81.

Fill the blank in 2, 8, 72, ?, 28800, using the pattern of multipliers.

Multiply by 2², 3², 4², 5². The blank is 72 × 16 = 1152; 1152 × 25 = 28800.

For the interwoven list 11, 150, 13, 143, 17, 136, 19, 129, ... , which number occupies position 11?

Odd positions contain consecutive primes 11, 13, 17, 19, 23, 29. Position 11 is the sixth odd-position term, so it is 29.

Kirandeep obtains 4, 18, 8, 30, 14, 48, 23, ? by alternating two rules. Determine the missing value.

Alternate ×3 + 6 and ÷2 − 1. After 48 ÷ 2 − 1 = 23, apply 23 × 3 + 6 = 75.

A token series starts 38, 49, 60, 71 and ends at 170 with the same gap. How many tokens are in the series, including both ends?

There are (170 − 38) ÷ 11 = 12 gaps. Including the first token gives 12 + 1 = 13 tokens.

If the bases are consecutive primes starting at 3, which number fits 12, 30, 56, 132, 182, ?

Each term is p(p + 1) for p = 3, 5, 7, 11, 13. Next p = 17, giving 17 × 18 = 306.

Find the faulty entry in 8, 10, 27, 14, 64, 22, 126, 38, 216, 70.

Odd positions should be 2³, 3³, 4³, 5³, 6³, so 126 should be 125. Even-position gaps are 4, 8, 16, 32, confirming that strand.

Recognise the bases in 4, 9, 25, 64, 144, ? and supply the next number.

The square bases are 2, 3, 5, 8, 12, with gaps 1, 2, 3, 4. The next base is 17, giving 17² = 289.

The successive multipliers are −2, +3, −4, +5, −6. Complete 3, −6, −18, 72, 360, ?.

-2160. The final multiplier is −6. Therefore 360 × (−6) = −2160.

Find the next output of the rule hidden in 4, 10, 23, 51, 109, ?.

Double and add successive primes 2, 3, 5, 7, 11. Thus 109 × 2 + 11 = 229.

The jumps grow rapidly in 11, 13, 19, 43, 163, ? . Which term follows?

The gaps are 2!, 3!, 4!, 5!, then 6!. Thus 163 + 720 = 883.

A puzzle combines 6, 8, 12, 16, 20, 32, 30, 64, ?, ? . Select the ordered pair that continues it.

(42, 128). Odd positions are 2×3, 3×4, 4×5, 5×6, then 6×7 = 42. Even positions double, so 64 × 2 = 128.

Which value continues 17, 43, 89, 161, 265, ? when each term combines a square and the preceding integer’s cube?

The rule is n² + (n − 1)³ for n = 3, 4, 5, 6, 7. Next is 8² + 7³ = 64 + 343 = 407.

Complete the multiplication chain 2, 18, ?, 630, 1890, 1890.

The multipliers descend through odd numbers 9, 7, 5, 3, 1. Hence 18 × 7 = 126, followed by 126 × 5 = 630.

Amandeep repeats the cycle +7, ×2, −5. Starting with 9, he gets 9, 16, 32, 27, 34, 68, ? . Find the next entry.

After +7 and ×2, the third operation is −5. Thus 68 − 5 = 63.

One quotient has been misprinted in 46080, 23040, 5760, 960, 125, 12. Which quotient is wrong?

Divide by 2, 4, 6, 8, 10 in order. The fifth term must be 960 ÷ 8 = 120 and then 120 ÷ 10 = 12, so 125 is wrong.

After 24, 29, 38, 52, 57, 66, 80, what are the next two entries when the gap cycle repeats?

(85, 94). The gap cycle is +5, +9, +14. After 80, add 5 and then 9 to get 85 and 94.

The descending consecutive primes are 73, 71, ?, 61, ?, 53. What is the sum of the two missing primes?

The missing primes are 67 and 59. Their sum is 67 + 59 = 126.

The terms 36, 80, 150, 252, 392, ? follow n³ + n². Determine the missing term.

The bases are 3, 4, 5, 6, 7, then 8. Therefore 8³ + 8² = 512 + 64 = 576.

Supply the final value in 4, 22, 91, 278, 563, ? by tracking multipliers and additions separately.

The rules are ×5 + 2, ×4 + 3, ×3 + 5, ×2 + 7. Next is ×1 + 11, so 563 + 11 = 574.

Compare successive ratios in 96, 144, 288, 720, 2160, ? . Which value continues the pattern?

The multipliers are 1.5, 2, 2.5, 3, then 3.5. Thus 2160 × 3.5 = 7560.

Find the missing pair in 2, 200, 3, 199, 8, 191, 19, 164, 46, 100, ?, ?.

(111, -25). Odd positions use next = 2 × latest + older, giving 2 × 46 + 19 = 111. Even positions subtract 1³, 2³, 3³, 4³, then 5³, giving 100 − 125 = −25.

Topic

Number Series MCQ – Part 3 - Topic Guide and MCQs

Part of Reasoning > 01 Number Series - 25 questions, about 25 min, with an explanation after every answer.

Question count

about 25 min

Estimated time

Mixed

Difficulty

02 Nov 2026

Last updated

Quick answer

Number Series MCQ – Part 3 is a topic inside Reasoning (01 Number Series). It runs 25 untimed MCQs - roughly 25 min - and the review explains every answer once you submit.

Topic introduction

What Number Series MCQ – Part 3 covers

The shape of the set before you start it.

Number Series MCQ – Part 3 sits inside Reasoning, under the 01 Number Series lane, and the portal keeps it as one self-contained set: 25 questions, four options each, no clock and a written explanation behind every answer.

Attempt it once to find the gaps, read why each distractor is wrong, then retake the same set a few days later. The questions you miss twice are the ones worth writing down.

Curated by Gurpreet Singh · Punjab Police SI, Rank 2 (713/800) · Founder, House of Aspirants · Read his story →

Question bank

Number Series MCQ – Part 3: all 25 questions

Read the question, pick an option, then open the answer.

Choose the missing value in 35, 50, 63, 82, 99, ?.
1. 120
2. 122
3. 121
4. 123
Show answer

Answer: (B) 122

Explanation: The terms are 6² − 1, 7² + 1, 8² − 1, 9² + 1, 10² − 1. Next is 11² + 1 = 122.
An alternating rise-and-fall pattern gives 28, 30, 27, 31, 26, 32, ? . What follows?
1. 25
2. 27
3. 38
4. 24
Show answer

Answer: (A) 25

Explanation: The changes are +2, −3, +4, −5, +6, then −7. Hence 32 − 7 = 25.
The sequence 3, 5, 9, 16, 28, 48, ? adds a small increasing adjustment to a two-term sum. Find its next term.
1. 76
2. 80
3. 82
4. 81
Show answer

Answer: (D) 81

Explanation: Add the previous two terms and then 1, 2, 3, 4, 5 successively. The next term is 28 + 48 + 5 = 81.
Fill the blank in 2, 8, 72, ?, 28800, using the pattern of multipliers.
1. 1296
2. 1440
3. 864
4. 1152
Show answer

Answer: (D) 1152

Explanation: Multiply by 2², 3², 4², 5². The blank is 72 × 16 = 1152; 1152 × 25 = 28800.
For the interwoven list 11, 150, 13, 143, 17, 136, 19, 129, ... , which number occupies position 11?
1. 122
2. 29
3. 23
4. 31
Show answer

Answer: (B) 29

Explanation: Odd positions contain consecutive primes 11, 13, 17, 19, 23, 29. Position 11 is the sixth odd-position term, so it is 29.
Kirandeep obtains 4, 18, 8, 30, 14, 48, 23, ? by alternating two rules. Determine the missing value.
1. 45
2. 75
3. 72
4. 69
Show answer

Answer: (B) 75

Explanation: Alternate ×3 + 6 and ÷2 − 1. After 48 ÷ 2 − 1 = 23, apply 23 × 3 + 6 = 75.
A token series starts 38, 49, 60, 71 and ends at 170 with the same gap. How many tokens are in the series, including both ends?
1. 14
2. 12
3. 13
4. 11
Show answer

Answer: (C) 13

Explanation: There are (170 − 38) ÷ 11 = 12 gaps. Including the first token gives 12 + 1 = 13 tokens.
If the bases are consecutive primes starting at 3, which number fits 12, 30, 56, 132, 182, ?
1. 272
2. 306
3. 289
4. 342
Show answer

Answer: (B) 306

Explanation: Each term is p(p + 1) for p = 3, 5, 7, 11, 13. Next p = 17, giving 17 × 18 = 306.
Find the faulty entry in 8, 10, 27, 14, 64, 22, 126, 38, 216, 70.
1. 216
2. 38
3. 22
4. 126
Show answer

Answer: (D) 126

Explanation: Odd positions should be 2³, 3³, 4³, 5³, 6³, so 126 should be 125. Even-position gaps are 4, 8, 16, 32, confirming that strand.
Recognise the bases in 4, 9, 25, 64, 144, ? and supply the next number.
1. 225
2. 324
3. 289
4. 256
Show answer

Answer: (C) 289

Explanation: The square bases are 2, 3, 5, 8, 12, with gaps 1, 2, 3, 4. The next base is 17, giving 17² = 289.
The successive multipliers are −2, +3, −4, +5, −6. Complete 3, −6, −18, 72, 360, ?.
1. 1800
2. -2160
3. -1800
4. 2160
Show answer

Answer: (B) -2160

Explanation: The final multiplier is −6. Therefore 360 × (−6) = −2160.
Find the next output of the rule hidden in 4, 10, 23, 51, 109, ?.
1. 225
2. 231
3. 229
4. 227
Show answer

Answer: (C) 229

Explanation: Double and add successive primes 2, 3, 5, 7, 11. Thus 109 × 2 + 11 = 229.
The jumps grow rapidly in 11, 13, 19, 43, 163, ? . Which term follows?
1. 489
2. 763
3. 979
4. 883
Show answer

Answer: (D) 883

Explanation: The gaps are 2!, 3!, 4!, 5!, then 6!. Thus 163 + 720 = 883.
A puzzle combines 6, 8, 12, 16, 20, 32, 30, 64, ?, ? . Select the ordered pair that continues it.
1. (42, 128)
2. (36, 128)
3. (40, 128)
4. (42, 96)
Show answer

Answer: (A) (42, 128)

Explanation: Odd positions are 2×3, 3×4, 4×5, 5×6, then 6×7 = 42. Even positions double, so 64 × 2 = 128.
From the third entry onward, add the previous two entries and then add 3. What fills the blank in 4, 9, 16, 28, 47, ?
1. 78
2. 79
3. 75
4. 94
Show answer

Answer: (A) 78

Explanation: Use 28 + 47 + 3 = 78.
Which value continues 17, 43, 89, 161, 265, ? when each term combines a square and the preceding integer’s cube?
1. 399
2. 448
3. 392
4. 407
Show answer

Answer: (D) 407

Explanation: The rule is n² + (n − 1)³ for n = 3, 4, 5, 6, 7. Next is 8² + 7³ = 64 + 343 = 407.
Complete the multiplication chain 2, 18, ?, 630, 1890, 1890.
1. 108
2. 126
3. 90
4. 144
Show answer

Answer: (B) 126

Explanation: The multipliers descend through odd numbers 9, 7, 5, 3, 1. Hence 18 × 7 = 126, followed by 126 × 5 = 630.
Amandeep repeats the cycle +7, ×2, −5. Starting with 9, he gets 9, 16, 32, 27, 34, 68, ? . Find the next entry.
1. 136
2. 61
3. 63
4. 75
Show answer

Answer: (C) 63

Explanation: After +7 and ×2, the third operation is −5. Thus 68 − 5 = 63.
One quotient has been misprinted in 46080, 23040, 5760, 960, 125, 12. Which quotient is wrong?
1. 12
2. 5760
3. 125
4. 960
Show answer

Answer: (C) 125

Explanation: Divide by 2, 4, 6, 8, 10 in order. The fifth term must be 960 ÷ 8 = 120 and then 120 ÷ 10 = 12, so 125 is wrong.
After 24, 29, 38, 52, 57, 66, 80, what are the next two entries when the gap cycle repeats?
1. (85, 94)
2. (85, 99)
3. (89, 103)
4. (94, 99)
Show answer

Answer: (A) (85, 94)

Explanation: The gap cycle is +5, +9, +14. After 80, add 5 and then 9 to get 85 and 94.
The descending consecutive primes are 73, 71, ?, 61, ?, 53. What is the sum of the two missing primes?
1. 128
2. 124
3. 126
4. 120
Show answer

Answer: (C) 126

Explanation: The missing primes are 67 and 59. Their sum is 67 + 59 = 126.
The terms 36, 80, 150, 252, 392, ? follow n³ + n². Determine the missing term.
1. 576
2. 512
3. 648
4. 567
Show answer

Answer: (A) 576

Explanation: The bases are 3, 4, 5, 6, 7, then 8. Therefore 8³ + 8² = 512 + 64 = 576.
Supply the final value in 4, 22, 91, 278, 563, ? by tracking multipliers and additions separately.
1. 1129
2. 564
3. 574
4. 576
Show answer

Answer: (C) 574

Explanation: The rules are ×5 + 2, ×4 + 3, ×3 + 5, ×2 + 7. Next is ×1 + 11, so 563 + 11 = 574.
Compare successive ratios in 96, 144, 288, 720, 2160, ? . Which value continues the pattern?
1. 8640
2. 5400
3. 6480
4. 7560
Show answer

Answer: (D) 7560

Explanation: The multipliers are 1.5, 2, 2.5, 3, then 3.5. Thus 2160 × 3.5 = 7560.
Find the missing pair in 2, 200, 3, 199, 8, 191, 19, 164, 46, 100, ?, ?.
1. (111, -25)
2. (111, 75)
3. (65, -25)
4. (92, -25)
Show answer

Answer: (A) (111, -25)

Explanation: Odd positions use next = 2 × latest + older, giving 2 × 46 + 19 = 111. Even positions subtract 1³, 2³, 3³, 4³, then 5³, giving 100 − 125 = −25.

Why it matters

Why Number Series MCQ – Part 3 is worth the hours

Where the marks actually come from.

Number Series MCQ – Part 3 is factual rather than analytical: you either recall it in seconds or you lose the mark to somebody who did. That makes it one of the cheapest sections to convert - a handful of short sittings usually settles the whole cluster.

Exam relevance

Exams where Number Series MCQ – Part 3 matters

Derived from the subject and lane this topic belongs to.

Punjab Police Constable

The highest-volume recruitment on this list. Build your base with Punjab GK and current affairs, then drill reasoning until speed is automatic.

Punjab Police ASI

Assistant Sub-Inspector papers separate candidates on English and Punjabi accuracy as much as on general awareness. Practise language daily.

Punjab Police Sub-Inspector (SI)

The most competitive paper here. Polity, history and quant reasoning decide the rank - so take full timed mocks before the exam.

Punjab Police Jail Warder

A tighter syllabus: general awareness, Punjabi and basic reasoning. Perfect for a daily quiz habit - short sessions, high consistency.

Punjab Police Driver

A driving post inside Punjab Police. Keep general awareness and reasoning moving with short daily sets here while you work on the driving side separately.

Punjab Police Wireless Operator

A technical post inside Punjab Police. Alongside your wireless study, general awareness and reasoning are the parts you can drill here every day as MCQs.

Punjab Police IT Cadre

A technology-focused cadre inside Punjab Police. Computer awareness and reasoning are the highest-yield blocks to practise here as short daily MCQ sets.

Patwari

Revenue work starts with Punjab geography, history and current affairs. Add quant for the sections that reward calculation speed.

Excise Inspector

General awareness and English carry this paper. Track Punjab policy news daily and revise it as MCQs, not as notes.

Clerk

Grammar, comprehension, typing and basic computer knowledge. Accuracy beats speed here - review every wrong answer.

Lab Attendant

A short, high-scoring paper: lab safety, general science and reasoning. Ten focused minutes a day is usually enough to cover it.

PSPCL jobs

Recruitment by the Punjab State Power Corporation Limited. Technical aptitude sits alongside general awareness and reasoning.

PSSSB

PSSSB recruitment. Whichever post you are writing, general awareness, Punjabi and reasoning are the shared subjects you can practise here as daily MCQs.

Punjab Police Head Constable

The communication and clerical tier of Punjab Police. Punjabi, English and general knowledge carry the paper, and computer awareness is worth real marks.

Staff Selection Commission

The central recruitment ladder most aspirants attempt alongside a state paper. Arithmetic, reasoning and English decide the score; general awareness decides the cutoff.

Railway Recruitment

A high-volume, high-speed paper. Arithmetic, reasoning and general awareness asked at a pace that punishes anyone still working out method during the attempt.

Banking Exams

Quantitative aptitude and reasoning at speed, with a separate English section and a general awareness paper that moves with the financial news cycle.

Expected questions

Expected questions from Number Series MCQ – Part 3

What an examiner usually reaches for in this cluster.

Expect one-line recall questions - definitions, stand-for expansions, identifiers and the ordering of things. Practise the wording as well as the concept: these papers test terminology, and the set above uses the same four-option shape they do.

Daily habit

Keep the Expected MCQs habit running

20 fresh mixed questions a day, plus the current-affairs sets examiners keep reusing.

Daily Quiz Expected MCQs

Previous year questions

Previous Year Questions

How this topic behaves in real papers.

Past papers reuse clusters like this almost verbatim across years and posts. Run the same set until every distractor is familiar - previous-year style questions stop being recall and start being free marks.

Where the previous-year sets live

The portal's previous-year practice runs through the General Knowledge lane and the daily mixed quiz.

Previous Year Questions Daily Quiz

Keep going

Take the Number Series MCQ – Part 3 quiz

25 questions, about 25 min, instant scoring and a full review at the end.

Start Number Series MCQ – Part 3 quiz Reasoning page Daily Quiz Mock Tests

Questions

Number Series MCQ – Part 3 - common questions

Answered against the set as it is published today.

All questions →

How long is the Number Series MCQ – Part 3 quiz?

Number Series MCQ – Part 3 runs 25 untimed questions - about 25 min at a steady pace. The set clears at 40% and you can retake it as often as you like.

What kind of questions does Number Series MCQ – Part 3 ask?

The set answers that: each question carries four options and a full explanation, so you learn the wording an examiner uses, not just the fact behind it.

Where else can I practise Reasoning?

Open the quiz page above, or start from the Reasoning subject page if you want to drill neighbouring lanes in the same sitting.

Do my scores save?

Scores, bookmarks and streaks need the optional Google sign-in. Opening the set and answering questions does not.