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Number Series Questions for IBPS RRB CLERK

Free, AI-curated practice for the Number Series section of IBPS RRB CLERK. We have 15+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Why this topic matters · 7 min read
Number Series is a high-scoring topic in IBPS RRB Office Assistant Preliminary exam under Numerical Ability. Expect 5 questions in prelims, usually straightforward to moderate difficulty. The pattern involves finding the missing term or the wrong term in a series. With practice, each question can be solved in under 30 seconds. Scoring all 5 is very realistic with pattern recognition skills.

Types of Number Series

Every series question belongs to one of a few core pattern families. Once you identify which family it is, the answer follows quickly. Think of it like recognizing a face — once you see the pattern shape, you know the person. The most tested families in IBPS RRB are arithmetic, geometric, difference-based, and mixed/two-step patterns.

  • Arithmetic Series: each term increases or decreases by a fixed number (common difference). Example: 3, 7, 11, 15 — difference is always 4.
  • Geometric Series: each term is multiplied or divided by a fixed number (common ratio). Example: 2, 6, 18, 54 — ratio is 3.
  • Difference Series: differences between consecutive terms form their own pattern. Very common in IBPS RRB.
  • Square/Cube Series: terms are perfect squares or cubes, sometimes with addition/subtraction. Example: 1, 4, 9, 16, 25.
  • Mixed/Two-step Series: alternating operations or two interleaved series. These appear in mains level.
  • Prime Number Series: series built on prime numbers — 2, 3, 5, 7, 11, 13.
Key formulas
Nth term of Arithmetic Series
T(n) = a + (n-1) x d
When: When the series has a constant difference between consecutive terms.
Nth term of Geometric Series
T(n) = a x r^(n-1)
When: When each term is multiplied by a fixed ratio.
Sum of first n natural numbers
S = n x (n+1) / 2
When: When differences between terms are 1, 2, 3, 4 — i.e., triangular number pattern.
Worked examples

Series: 4, 9, 16, 25, 36, ? — These are squares of 2, 3, 4, 5, 6, so next is 7^2 = 49.

Series: 2, 6, 18, 54, ? — Each term is multiplied by 3. So next = 54 x 3 = 162.

Difference Pattern (The Most Tested Type)

In IBPS RRB, the most common series type is where the differences between consecutive terms follow a pattern. You must always write down the differences first. Then check if those differences are in AP, GP, or follow squares/primes. This two-layer approach cracks most medium-level questions.

  • Step 1: Write all consecutive differences. Step 2: Find the pattern in those differences.
  • If differences are 1, 3, 5, 7 — they are odd numbers, so next difference is 9.
  • If differences are 2, 4, 8, 16 — they are doubling (geometric), next difference is 32.
  • If differences are 1, 4, 9, 16 — they are perfect squares, next difference is 25.
  • Second-order difference: if first differences don't show a pattern, take difference of differences.
Worked examples

Series: 3, 4, 7, 12, 19, 28, ? — Differences: 1, 3, 5, 7, 9. These are odd numbers. Next difference = 11. So next term = 28 + 11 = 39.

Series: 1, 2, 5, 14, 41, ? — Differences: 1, 3, 9, 27 — these are powers of 3. Next difference = 81. Answer = 41 + 81 = 122.

Wrong Number Series

In this variant, one term in the series is incorrect and you must find it. This type appears more in IBPS RRB Mains but is increasingly seen in prelims too. Strategy: establish the correct pattern using the majority of terms, then check each term against the pattern to find the odd one out. Never assume the first or last term is wrong.

  • Read all terms first, spot the dominant pattern from at least 3-4 correct terms.
  • Verify each term individually — the one that breaks the pattern is the wrong term.
  • Wrong term questions take 10-15 seconds longer — attempt after correct series questions.
  • The wrong term is usually off by a small margin to trick you — be precise.
  • Common trap: exam places the wrong term in the middle, not at the ends.
Worked example

Series: 2, 3, 6, 15, 52, 159 — Pattern should be x2-1, x3-3, x4? Check: 2x2-1=3, 3x3-3=6, 6x4-9=15, 15x5-23=52 does not fit. Correct pattern: 2, 3, 6, 15, 54, 159 — so 52 is wrong, should be 54.

Speed Technique: First 3 Seconds Scan

Time is the real challenge in IBPS RRB. Train yourself to scan a series in 3 seconds before committing to a method. This mental shortcut eliminates wrong approaches immediately and saves 20-30 seconds per question.

  • Are all numbers increasing rapidly? Think geometric or squares/cubes.
  • Are numbers increasing slowly and steadily? Think arithmetic or difference of small numbers.
  • Do you see alternating big-small or odd-even gaps? Think two-step or interleaved series.
  • Do numbers include 1, 4, 9, 25, 49? Think prime squares or perfect squares.
  • Is there a mix of multiplication and addition? Think n x constant plus/minus something.
⚠ Common mistakes to avoid
  • Confusing geometric and difference series — always subtract first before multiplying/dividing to identify pattern type.
  • Not writing down differences on paper — trying to solve in head leads to errors; always write differences for 5-term or longer series.
  • In wrong number series, students often blame the first term — exam rarely puts the error in position 1 or 2, check middle terms first.
  • Skipping the question when pattern is not obvious in 10 seconds — try taking second-order differences before giving up.
  • Rushing through square/cube series and computing incorrectly — memorize squares up to 30 and cubes up to 15 before the exam.
🧠 Memory aids
  • AGDM Rule — Four families: Arithmetic, Geometric, Difference, Mixed. Ask in this order for every series.
  • DDP Method — Difference, Difference Pattern: always take differences first, then find the pattern in those differences. Two layers crack most questions.
  • Squares to remember as a song: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225. Sing them in your head.
  • Wrong series = Majority Wins. Find the pattern that fits most terms, then the one term that loses is your answer.
🎯 IBPS RRB CLERK exam tips
  • IBPS RRB Prelims consistently gives exactly 5 number series questions — all are of the find-the-missing-term type at prelims level. Wrong number type is rare in prelims.
  • Difficulty is usually easy to moderate in prelims — arithmetic and simple difference patterns dominate. Do not over-prepare complex two-step series for prelims.
  • Target: solve all 5 series in under 3 minutes total — that is 35 seconds per question including marking. Practice with a stopwatch.
  • Recent trend (2022-2024): at least 1-2 questions involve squares or cubes of consecutive numbers with a twist like plus 1 or minus 2. Watch for this.
  • Attempt number series early in the Numerical Ability section — they are fast, confidence-boosting, and require no calculator, making them ideal warm-up questions.

Sample questions

Q1 · medium · AI-verified
What comes next: 10, 12, 16, 24, 40, ?
  1. 72
  2. 70
  3. 74
  4. 68
Q2 · medium · AI-verified
Find the next number: 13, 17, 19, 23, 29, ?
  1. 31
  2. 33
  3. 35
  4. 37
Q3 · medium · AI-verified
Find the next term: 81, 27, 9, 3, 1, ?
  1. 1/3
  2. 0
  3. 2
  4. 1/9
Q4 · medium · AI-verified
Complete: 3, 11, 27, 59, 123, ?
  1. 251
  2. 249
  3. 253
  4. 247
Q5 · medium · AI-verified
What comes next: 1, 4, 9, 16, 25, 36, ?
  1. 49
  2. 47
  3. 51
  4. 45
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