ExamShortcut

Series (Number & Letter)

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high importance~4 Q in Tier 16 formulas⚡ 10 shortcuts6 subtopics

Repeating letter series — fill the blanks

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A line of small letters has some blanks (a _ c a b _ a b c _ b c). You choose the option whose letters, placed in the blanks from left to right, make the whole line follow one repeating pattern. The pattern is a fixed block, a growing block, a mirror block or a rotating block.

Detailed notes

What this question looks like

You see a line of small letters with some blanks, for example: a _ c a b _ a b c _ b c. You must choose the group of letters that fills the blanks, in order from left to right, so that the whole line follows a repeating pattern. The options look like 'bca', 'bac', 'cab'.

Think of a rangoli border: the same small design repeats again and again. Once you know one design unit, you can fill any gap in the border. SSC and Railway papers ask this type almost every shift.

Step 1: Find the block

Most such series repeat a small block of 3, 4, 5 or 6 letters. Count the total number of places (letters + blanks). If the total is 12, the block is often 3, 4 or 6 letters long; if it is 15, often 3 or 5. Try splitting the line into equal parts and see whether the visible letters agree.

Step 2: Fill using the same place in other blocks

Write the line in blocks, one below another. Each column must have the same letter. A blank takes the letter shown elsewhere in its column.

Example: a _ c a b _ a b c _ b c (12 places, block of 3)

  • a _ c
  • a b _
  • a b c
  • _ b c

Columns read a, b, c. The blanks are b, c, a → answer bca.

Step 3: Try the options when stuck

Put each option into the blanks and read the full line. The right option makes a clean repeat. This takes 10-15 seconds per option, so first cut options whose first letter clearly fails.

Pattern 1: fixed repeating block

The same block repeats: abc abc abc, pqrs pqrs pqrs, baab baab baab.

Pattern 2: growing block

Each block adds a letter: a, ab, abc, abcd (line: aababcabcd). Or letter counts grow: ab, aabb, aaabbb. Here the block length changes, so read the line as 1 + 2 + 3 + 4 places, or 2 + 4 + 6 places.

Pattern 3: mirror block

The block reads forwards and then backwards: pqr rqp pqr rqp. A doubled letter in the middle (rr, cc) marks the turning point. Another form walks up and down: a b c d c b a b c d c b a.

Pattern 4: rotating block

Each new block is the previous block with its first letter moved to the end: abcd, bcda, cdab, dabc. Or the last letter moves to the front: pqr, rpq, qrp. Split the line into equal blocks and check how each block is built from the one before.

Checks before you mark

  • Count the blanks: the answer must have exactly that many letters.
  • Fill in and read the whole line once. One wrong letter breaks the repeat.
  • If two options both seem to fit, you have picked the wrong block size — try the next size.
  • Blanks inside a word-like block (like 'baab') are easy to swap by mistake; fill column by column.

Quick revision

  • Count total places → guess block size (3, 4, 5, 6).
  • Write blocks one below another; columns must match.
  • Four shapes: fixed block, growing block, mirror block, rotating block.
  • A double letter (rr, cc) often marks a mirror turn.
  • Always fill and re-read the full line.

Types of questions asked

Every way this subtopic shows up in exams — how to recognise it, the formula or logic to use, and a solved example.

Type 1: Fixed repeating blockvery common3 practice Q
How to spot it:

The line is made of the same 3-6 letter block repeated (abc abc abc ...).

  1. Count total places; try block sizes that divide it.
  2. Write blocks one below another.
  3. Each column has one letter; fill each blank from its column.
  4. Read the answer letters in order of the blanks.

Why it works: in a repeating block, every place in a column must hold the same letter.

Example: a b _ a b c _ b c a _ c

Block abc repeats (12 places = 4 blocks of 3). Filling column-wise gives abc | abc | abc | abc. Blanks in order: cab.

Type 2: Growing block (a, ab, abc ... or ab, aabb, aaabbb)common3 practice Q
How to spot it:

Letters appear more and more times, or each part is one letter longer than the last.

  1. Split the line into parts of length 1, 2, 3, 4 ... (or 2, 4, 6 ...).
  2. Check that each part adds one letter (or one more of each letter).
  3. Fill the blanks from the expected parts.

Why it works: the block is not fixed, but its growth rule is.

Example: a _ b a _ c a _ c _

Parts of length 1, 2, 3, 4: a | ab | abc | abcd. Blanks in order: abbd.

Type 3: Mirror block (forward then backward)common3 practice Q
How to spot it:

A doubled letter in the middle (rr, cc) or the letters climb and come back (a b c d c b a).

  1. Find the turning point (double letter or highest letter).
  2. The second half repeats the first half in reverse.
  3. Use the mirror to fill each blank.

Why it works: a mirror block is a fixed block whose second half copies the first half backwards.

Example: p _ r _ q p p q _ r _ p

Block pqrrqp (pqr, then rqp) repeats twice: pqrrqp | pqrrqp. Blanks in order: qrrq.

Type 4: Rotating block (first letter moves to the end)occasional3 practice Q
How to spot it:

Equal blocks use the same letters, but each block starts one letter later (abcd, bcda, cdab).

  1. Split into equal blocks (size = number of different letters).
  2. See how each block is the previous one rotated.
  3. Build every block and read off the blanks.

Why it works: rotation keeps the letters and just shifts the starting point.

Example: a _ c b c _ _ a b

Each block moves its first letter to the end: abc | bca | cab. Blanks in order: bac.

Shortcut tricks

⚡ Write the blocks one below another

Guess the block size from the total number of places (12 → try 3, 4 or 6). Write the blocks in rows; each column must hold one letter, so every blank copies the visible letter in its column.

Example: Q. a _ c a b _ a b c _ b c

Block of 3: a_c / ab_ / abc / _bc. Columns are a, b, c → blanks b, c, a → answer bca.

⚡ Double letter = mirror turn

When you see 'rr' or 'cc' inside the line, the block probably reads forward and then backward (pqr rqp). Fill the second half as the first half reversed.

Example: Q. p _ r r _ p p q _ r q _

Block pqrrqp twice → blanks q, q, r, p → answer qqrp.

Where students lose marks

  • Choosing the block size by eye instead of counting total places — the wrong size makes two options look right.

  • Reading the answer letters in column order instead of left-to-right blank order.

  • Not re-reading the filled line once; a single swapped letter breaks the repeat.

Practice sets — 12 questions

Sets of 10, mixed across the question types above. Each answer comes with a step-by-step explanation.

Topic test · 12 questions

Suggested time 9 min · wrong answers go to your mistake notebook automatically.