Puzzles: Reasoning Ability Notes for IELTS

IELTS Reasoning Ability – Puzzles

(Study notes in Markdown)

1. Simple Explanation

Puzzles in the IELTS Reasoning Ability section are logic‑based problems that test your ability to:

Identify patterns (numbers, letters, shapes).
Apply rules (temporal, spatial, comparative).
Eliminate impossibilities and narrow down options.
Reach a definitive conclusion in the minimum time.

They usually appear as multiple‑choice questions or short‑answer formats and are designed to mimic real‑world reasoning tasks you’ll face in exams, interviews, or everyday problem‑solving.

2. Key Points

#	What to Focus On	How to Approach
1	Read the question carefully	Highlight the key requirement (e.g., “Which of the following could be true?”).
2	Identify the data type	Numbers → arithmetic/sequence Letters → alphabets/word patterns Shapes → geometry/positional
3	Look for obvious patterns	Common sequences: arithmetic, geometric, Fibonacci, alternating, “next‑letter” etc.
4	Write down the rules	Convert textual clues into formal constraints (e.g., “The blue square is to the left of the red circle”).
5	Use elimination	Rule out options that violate any constraint.
6	Check consistency	After a candidate fit, verify all clues again.
7	Time management	Aim for ~1 min per puzzle; mark “unsure” and return if time permits.
8	Common trap	Over‑interpreting a clue or assuming a pattern that isn’t given.

3. Worked Example

Puzzle (Multiple‑Choice)

Question
In a row of 7 houses, each house is painted a different colour.

The blue house is immediately to the left of the green house.

The red house is somewhere to the right of the blue house.

The orange house is not adjacent to the yellow house.

Which of the following could be the colour of the third house from the left?
A) Blue B) Green C) Red D) Orange E) Yellow

Step‑by‑Step Solution

Step	Action	Explanation
1	Set up a basic layout	Use 7 slots: 1 2 3 4 5 6 7.
2	Apply clue 1	Blue (B) must be immediately left of Green (G). So possible pairs: (B,G) at (1,2), (2,3), (3,4), (4,5), (5,6), or (6,7).
3	Apply clue 2	Red (R) must be somewhere right of Blue. So R cannot be left of B.
4	Apply clue 3	Orange (O) cannot be adjacent to Yellow (Y).
5	Test each pair	Try each (B,G) pair and see if we can place R and avoid O–Y adjacency.
6	Find a valid arrangement	One valid arrangement: 1 = Orange, 2 = Blue, 3 = Green, 4 = Yellow, 5 = Red, 6 = White, 7 = Purple. (All colours distinct, all clues satisfied.)
7	Check the third house	In this arrangement, the third house is Green.
8	Answer	The third house could be Green → B).

Why the others are impossible

Blue (A): If the third house were Blue, the fourth would have to be Green (clue 1). Then Red would need to be right of Blue – possible – but Orange cannot be adjacent to Yellow; we can still place them, but we must check if any arrangement violates clue 3. After trying, we find no valid arrangement with third=Blue.

Red (C): Red cannot be left of Blue, so third cannot be Red.

Orange (D) or Yellow (E): Both would force adjacency constraints that cannot be satisfied with the B‑G pair.

Thus, option B (Green) is the only correct answer.

4. Quick Revision Summary

Read every clue → underline the requirement.
Create a simple grid (slots or diagram) to visualize positions.
Translate text → rules (e.g., “immediately to the left of” → adjacent slots).
Use elimination: discard options that break any rule.
Verify consistency after filling a candidate solution.
Time: aim for 1 min per puzzle; if stuck, mark and revisit.
Common pitfalls:
- Assuming a pattern that isn’t specified.
- Ignoring “somewhere to the right/left” vs “immediately to the right/left”.
- Over‑filling the grid before testing constraints.

Practice Tip

Create your own set of 5‑10 simple puzzles. Test yourself under timed conditions, then review each solution to spot where you slipped. This active practice reinforces the systematic approach above and builds confidence for the IELTS exam.