Puzzles: Reasoning Ability Notes for Tripura Police Sub-Inspector (SI)

Study Notes – Reasoning Ability: Puzzles

(Tripura Police Sub‑Inspector (SI) – Reasoning Ability Section)

1. What are Puzzles?

Definition
Puzzles are logic‑based problems that require you to deduce hidden relationships, sequences or arrangements from a set of given clues. They test pattern recognition, inference, and systematic elimination.

Types of Puzzles (common in police reasoning tests)

#	Puzzle Type	Typical Clues	Example Question
1	Arrangement/Seating	“A is to the left of B”, “C sits opposite D”	“Arrange 6 people in a row given the constraints.”
2	Sequence/Pattern	“1, 4, 9, 16 …”	“Find the 5th term.”
3	Time/Date	“The meeting starts 15 minutes after the bell”	“If the bell rings at 10:00, when does the meeting start?”
4	Number‑Based	“All numbers are multiples of 3”	“Which number is missing?”
5	Logical Deduction	“If X then Y”	“Determine who is guilty.”
6	Cross‑Number/Word	“Sum of digits equals 12”	“Find the 3‑digit number.”

2. Simple Explanation – How to Approach a Puzzle

Read the Problem Carefully
- Highlight all given facts.
- Note the unknowns (e.g., positions, numbers, times).
Create a Working Space
- Use a table, diagram, or a grid to record possibilities.
- For seating puzzles, draw a row or circle of boxes.
- For number sequences, write down the terms you know.
Translate Statements into Logical Variables
- Convert “A is to the left of B” → A < B (in index terms).
- Convert “C is 3 positions after B” → C = B + 3.
Apply Constraints Successively
- Start with the most restrictive clue.
- Reduce the possibilities step by step.
- Use elimination (cross‑out impossible options).
Check for Consistency
- After filling in, verify that every clue is satisfied.
- If a contradiction appears, backtrack and try another path.
Answer the Question
- Once the puzzle is solved, locate the requested information (e.g., “Who sits third?”).

3. Key Points to Remember

#	Key Point	Why it Matters
1	Logical Order	Puzzles often require ordering (left‑to‑right, earlier‑later).
2	Elimination is Powerful	Systematically crossing out impossibilities saves time.
3	Use of Diagrams	Visual aids reduce mental juggling.
4	Check Edge Cases	Puzzles sometimes hinge on “first” or “last” positions.
5	Double‑Check	A single missed clue can derail the whole solution.
6	Time Management	Allocate ~2–3 minutes per puzzle; practice speed.

4. Worked Example

Problem

Arrangement Puzzle
Six officers (A, B, C, D, E, F) are standing in a straight line from left to right.

A is to the left of B.

C is between A and B.

D is to the right of C.

E is at one of the ends.

F is immediately to the right of D.
Question: Who is third from the left?

Step‑by‑Step Solution

Step	Action	Reasoning
1	Choose a reference point	Place E at an end (since E is at one end). Let’s assume E on the left end (positions 1–6).
2	Place A and B	A is left of B and C is between them. So possible arrangement for A–C–B is contiguous.
3	Insert D and F	D is right of C, and F is immediately right of D. So D and F occupy two consecutive positions to the right of C.
4	Check constraints	If we try: 1:E, 2:A, 3:C, 4:B, 5:D, 6:F → violates “D is right of C” (ok) but “F immediately right of D” (true). Check all clues: A left of B (true), C between A & B (true), D right of C (true), E at an end (true). All satisfied.
5	Answer	Third from the left is C.

Result: The officer third from the left is C.

5. Quick Revision Summary

Topic	Quick Tips
Read all clues first	Don’t skip or overlook a statement.
Draw a diagram	Even a rough sketch helps.
Start with the most restrictive clue	It cuts down possibilities fastest.
Eliminate systematically	Use a “cross‑out” sheet or table.
Verify every clue	One wrong placement invalidates the whole solution.
Practice timing	Solve 10 puzzles in 20 minutes to build speed.

Final Thought

Puzzles in the SI Reasoning Ability test are designed to evaluate logical inference and systematic problem‑solving. Mastering the approach outlined above, coupled with consistent practice, will give you a strong advantage. Happy puzzling!