लुप्त पद

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Missing Term (लुप्त पद)

Chapter Outline & Learning Goals

In this chapter you will learn to:

1. Understand what a "Missing Term" question really asks.
2. Identify the hidden pattern in a series of numbers, letters, or mixed terms.
3. Apply a step-by-step checking method instead of guessing.
4. Spot the examiner's favourite traps before they trap you.
5. Solve a standard question in 30–45 seconds.

1. The Hook: One Missing Piece, Whole Puzzle Broken

Imagine a railway timetable board where one train's timing is blank. You can still guess it — because every other train follows a gap of 2 hours. That is exactly what a Missing Term question is: a complete pattern with one piece removed, and your job is to put the piece back.

SSC, Banking and Railway exams love this chapter because it tests one pure skill — *can you see order where others see chaos?* The good news: every series follows a limited set of patterns, and you will learn all of them here.

2. "I Just Can't See the Pattern!" — The Common Struggle

Almost every student says this. The problem is not your brain — it is your *method*. Most students stare at the whole series and hope the answer "clicks". Toppers do the opposite: they test one pattern at a time, like a doctor checking symptoms one by one. Once you have a fixed checklist, the fear disappears.

🧠 Active Recall: Before reading further, write down: what is the difference between an *arithmetic* series and a *geometric* series?

3. Chunk 1 — Number Series: The Big Four Patterns

Pattern A — Addition/Subtraction (Arithmetic):
2, 5, 8, 11, ? → difference is +3 each time → 14

Pattern B — Multiplication/Division (Geometric):
3, 6, 12, 24, ? → ×2 each time → 48

Pattern C — Mixed (difference of differences):
2, 4, 8, 14, 22, ? → differences are +2, +4, +6, +8 → next +10 → 32

Pattern D — Squares/Cubes:
1, 4, 9, 16, ? → 1², 2², 3², 4² → 25
Sometimes with a twist: 2, 5, 10, 17, ? → n² + 1 → 26

🧠 Active Recall: Solve without looking back: 5, 10, 20, 40, ? (Answer: 80 — ×2 pattern.)

4. Chunk 2 — Letter Series: Convert to Numbers!

Letters scare students. The fix is simple: write A=1, B=2 … Z=26 above the question and convert.

A, C, E, G, ? → 1, 3, 5, 7 → +2 each time → I

Z, X, V, T, ? → 26, 24, 22, 20 → −2 → R

Mnemonic Trick — "EJOTY": Remember the 5th, 10th, 15th, 20th, 25th letters:
E (5), J (10), O (15), T (20), Y (25).
With these five anchors, you can count any letter's position in 2 seconds instead of counting from A.

🧠 Active Recall: Using EJOTY, what is the position of M? (O is 15, so M = 13.)

5. Chunk 3 — Mixed (Alpha-Numeric) Series

Terms like A2, C4, E6, G8, ? — here letters and numbers run on separate tracks. Solve each track independently:

• Letters: A, C, E, G → +2 → I
• Numbers: 2, 4, 6, 8 → +2 → 10
• Answer: I10

Golden rule: *Never try to find one combined rule. Split, solve, rejoin.*

6. Chunk 4 — Wrong Number / Odd Term Variants

Sometimes the exam asks: "Which term does NOT fit?" Method is the same — find the pattern, then check which term breaks it.

3, 5, 7, 11, 13, 17, 19, 23 → all primes… but if the series were 3, 5, 7, 9, 11, 13, then 9 is wrong (9 is not prime).

🧠 Active Recall: In 1, 8, 27, 64, 100, 125 — which term is wrong? (100 — it is not a cube; the rest are 1³, 2³, 3³, 4³, 5³.)

7. The 4-Step Checking Method (Your Fixed Checklist)

When you see any series, check in this exact order:

1. Difference check — subtract neighbours. Constant? Done.
2. Ratio check — divide neighbours. Constant? Done.
3. Second difference — subtract the differences. Constant? Done.
4. Special check — squares, cubes, primes, alternate terms (split odd-position and even-position terms into two series).

Most exam questions are solved by step 1 or 2. Never skip the order — jumping straight to "special check" wastes time.

8. Summary Table

📌 Review this chapter after 2 days. Solve 10 fresh questions using only the 4-step checklist — no peeking at solutions.

⚠️ Caution: Examiner's Trap

Trap 1 — More than one possible relation in the options.
The examiner designs options so that two answers *seem* correct. Example: 2, 4, 8, ? — one student sees ×2 and picks 16; another sees +2, +4, +6 and picks 14. Both options will be present! Rule: prefer the simplest consistent pattern (multiplication over growing difference, unless more terms confirm otherwise). If only 3 terms are given, be extra careful.

Trap 2 — Confusing letter positions and difficult-looking terms.
Series like D, G, J, M, ? look hard only because you haven't converted to numbers (4, 7, 10, 13 → +3 → P). Examiners deliberately pick letters whose positions students miscount. Always write positions above letters — never count on fingers in your head.

Trap 3 — Double-relation (alternate) questions.
A series like 3, 10, 6, 20, 9, 30, ? has no single rule — odd positions go +3 (3, 6, 9) and even positions go +10 (10, 20, 30). Students who check only consecutive differences panic and guess. Whenever consecutive differences look irregular, immediately split into odd and even positions.