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Number Series Questions for SBI PO

Free, AI-curated practice for the Number Series section of SBI PO. We have 45+ 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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📍 Number Series is also tested in:
UP POLICE CONSTABLE (82)SSC CGL (48)SSC MTS (33)SSC CHSL (32)
Why this topic matters · 7 min read
Number Series is a guaranteed 5-question set in SBI PO Prelims under Quantitative Aptitude. Questions ask you to find the missing term or the wrong term in a sequence. SBI PO makes these slightly harder than IBPS PO by layering two operations together or using non-obvious patterns like cube roots and alternating series. With practice, you can solve each question in 30-45 seconds, making this a high-scoring, time-saving topic.

Types of Number Series

Every series follows a hidden rule. Your job is to crack that rule in under 30 seconds. There are roughly 8 pattern types and SBI PO combines 2-3 of them in a single series to raise difficulty. Think of it like a lock — you need to find the right key from your pattern toolkit.

  • Arithmetic Series: constant difference between terms (e.g. +3, +3, +3)
  • Geometric Series: constant ratio between terms (e.g. x2, x2, x2)
  • Square or Cube Series: terms are n^2 or n^3, or differ by squares/cubes
  • Mixed Difference Series: differences themselves form an AP or GP (second-level pattern)
  • Alternating Series: two interleaved series in one — odd positions follow one rule, even positions follow another
  • Two-step or Compound Series: each step applies two operations, e.g. x2 then +1, x3 then -2

Step-by-Step Method to Crack Any Series

Follow this 4-step drill every time. First, write down the differences between consecutive terms. If differences are constant, it is AP. If ratios are constant, it is GP. If neither, find the second-level difference (difference of differences). Still no pattern? Check if terms are near perfect squares or cubes. This flowchart approach stops random guessing and saves time.

  • Step 1 — First Difference: subtract consecutive terms and note the result
  • Step 2 — Second Difference: if Step 1 gives no clean pattern, find differences of those differences
  • Step 3 — Ratio Check: divide consecutive terms — if ratio is constant, it is GP
  • Step 4 — Square/Cube Scan: mentally check if each term is close to n^2 or n^3 for small n
Key formulas
nth term of AP
a + (n-1) x d
When: Use when you identify constant first difference d and need to verify or extend the series
nth term of GP
a x r^(n-1)
When: Use when consecutive ratio is constant to find missing term
Worked examples

Series: 3, 9, 27, 81, ?, 729. Ratios: 9/3=3, 27/9=3, 81/27=3. Constant ratio of 3 confirms GP. Missing term = 81 x 3 = 243.

Series: 2, 3, 6, 11, 18, 27, ?. First differences: 1, 3, 5, 7, 9 — these are consecutive odd numbers. Next difference = 11. Missing term = 27 + 11 = 38.

Wrong Number Series (SBI PO Favourite)

In wrong number questions, one term in the series is deliberately replaced by an incorrect value. You are asked to find which term does not fit. SBI PO loves this format because it demands deeper pattern recognition — you cannot just work forward, you must verify every term. Strategy: identify the pattern from the majority of terms, then check which single term breaks it. The odd one out is your answer.

  • Find the pattern that fits at least 4 out of 5 terms — that is the real pattern
  • The term that breaks this pattern is the wrong one
  • Recompute what the correct value should be to double-check your answer
  • Common trap: SBI PO places the wrong term at position 2 or 3 to derail your early pattern detection
  • Always verify by recalculating the full series with your identified pattern
Worked example

Series: 5, 10, 40, 80, 320, 640. Pattern should be x2, x4, x2, x4 alternating. Check: 5x2=10, 10x4=40, 40x2=80, 80x4=320, 320x2=640. All terms fit — no wrong number here. Now try: 5, 10, 40, 80, 400, 640. Step 80x4=320 but series shows 400 — so 400 is the wrong term, correct value is 320.

High-Difficulty SBI PO Patterns to Know

SBI PO frequently uses compound patterns that mix operations. The most common hard patterns in recent SBI PO papers are: (a) multiply by increasing integers and add/subtract a constant, (b) add consecutive prime numbers, (c) alternating two separate series. Recognising these fast is the difference between 45 seconds and 3 minutes per question.

  • Pattern: x1+1, x2+2, x3+3, x4+4 — multiplier and addend both increase by 1 each step
  • Pattern: add primes 2, 3, 5, 7, 11 consecutively to each term
  • Pattern: terms at odd positions form one GP, terms at even positions form another AP
  • Pattern: differences of differences form a GP (not AP) — rare but appears in SBI PO mains
  • Pattern: n^2 + n or n^3 - n type — each term is based on a formula involving its position number
⚠ Common mistakes to avoid
  • Checking only the first two terms to decide the pattern — SBI PO often makes the first step look like AP or GP but the real pattern involves all 5-6 terms together
  • Ignoring alternating series — students assume one rule for all terms, missing that odd and even positions follow separate rules
  • In wrong number series, assuming the error is always in the last 2 terms — SBI PO frequently places it at position 2 or 3 to confuse early pattern detection
  • Confusing square series with GP — terms like 4, 9, 16, 25 look geometric at first glance but are actually n^2
  • Not rechecking the full series after finding the answer — costs marks when the identified pattern only fits 4 of 6 terms and a better pattern exists
🧠 Memory aids
  • DRSC Toolkit: Difference, Ratio, Squares, Cubes — run this 4-step check on every series before doing anything else
  • Rule of Majority: in wrong number series, trust the pattern that 4 or more terms agree on. One outlier is always the culprit.
  • The ODD-EVEN Split: if no single rule works for all terms, immediately suspect an alternating series and list odd-position and even-position terms separately
  • Primes in Order: 2, 3, 5, 7, 11, 13, 17, 19, 23 — memorise first 9 primes cold. Adding consecutive primes is one of the most frequent SBI PO series tricks.
🎯 SBI PO exam tips
  • SBI PO Prelims typically has exactly 5 series questions, often placed in the first or last block of Quant — solve them early since they are fast points if patterns click
  • Recent SBI PO papers (2022-2024) heavily favour compound multiplication series like xN+C and wrong number format over simple AP or GP
  • Time target: spend max 40 seconds per series. If you cannot crack it in 40 seconds, mark and move — do not let one series eat 3 minutes
  • SBI PO Mains descriptive paper occasionally includes a data interpretation set where a hidden series appears in a table — same skills apply
  • During the exam, physically write the differences on rough paper — do not try to do all mental arithmetic. A 5-second write saves 30 seconds of confusion

Sample questions

Q1 · medium · AI-verified
What is the next number: 7, 26, 63, 124, 215, ?
  1. 342
  2. 340
  3. 344
  4. 346
Q2 · hard · AI-verified
Complete the series: 3, 7, 16, 35, 74, 153, ?
  1. 312
  2. 313
  3. 314
  4. 315
Q3 · hard · AI-verified
What comes next in the series: 3, 12, 60, 360, 2520, ?
  1. 18900
  2. 15120
  3. 25200
  4. 20160
Q4 · hard · AI-verified
What comes next: 11, 13, 17, 19, 23, 29, 31, ?
  1. 37
  2. 39
  3. 41
  4. 43
Q5 · hard · AI-verified
Find the missing number: 6, 20, 42, 72, 110, 156, ?
  1. 210
  2. 212
  3. 214
  4. 216
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