Puzzles: Reasoning Ability Notes for Odisha TET (Teacher Eligibility)

Odisha TET – Reasoning Ability

Topic: Puzzles

Why Puzzles?
Puzzles test your ability to spot patterns, make logical deductions, and solve problems under time pressure. They’re a staple of the TET Reasoning section, so mastering them gives you a strong edge.

1. Simple Explanation

Term	What It Means	Example
Puzzle	A problem that requires pattern recognition or logical reasoning to solve.	“Seven people are seated in a row. Person A sits between B and C.”
Types	1. Number puzzles – arithmetic patterns, series, or grids. 2. Word puzzles – word ladders, pangrams, or cross‑words. 3. Logic puzzles – seating arrangements, sequence clues, or deduction grids. 4. Lateral‑thinking puzzles – require out‑of‑the‑box thinking.	1. 2, 4, 8, 16… 2. “The word ‘book’ becomes ‘cook’ by changing one letter.” 3. “Mr. Singh sits opposite Mrs. Patel.” 4. “A man sees a woman with a fish in a window; why is it a fish?”

2. Key Points & Strategies

#	Strategy	How to Apply	Why It Works
1. Read Carefully	Note every detail – who, where, when, what, and how.	Write down clues in a separate sheet.	Missing a clue can derail the whole solution.
2. Identify the Problem Type	Spot if it’s a sequential or grid puzzle.	Look for words like “next”, “previous”, “first”, “last”.	Different puzzles call for different tactics.
3. Use a Systematic Approach	1️⃣ Write down all entities (people, items, positions). 2️⃣ Create a table/grid. 3️⃣ Mark known facts. 4️⃣ Deduce step‑by‑step.	Example: Seating arrangement – create a 2‑row table for 6 seats.	Keeps information organized and prevents double‑counting.
4. Eliminate Possibilities	Discard impossible options early.	If “X sits next to Y” and you know Y is at seat 1, X can’t be at seat 6.	Cuts down on trial‑and‑error.
5. Look for Patterns	Arithmetic sequences, alternating colors, repeating letters.	In a number series, check differences or ratios.	Patterns often give the “next” value instantly.
6. Work Backwards or Forward	Start from a known fact and fill outward.	If “Z sits opposite Y” and you know Y’s seat, you know Z’s seat.	Reduces ambiguity.
7. Use Logical Deductions	If A → B and B → C, then A → C.	In seating: “If A sits left of B and B sits left of C, then A sits left of C.”	Builds chains of reasoning.
8. Keep Track of Time	TET puzzles are time‑bound.	Allocate ~5–7 minutes per puzzle; reserve last minute for double‑check.	Avoids rushing and making careless errors.
9. Practice with Sample Puzzles	Repetition builds speed.	Use past TET question papers or reputable reasoning books.	Familiarity with formats speeds up solving.

3. Worked Example

Puzzle

Clue

Five teachers – A, B, C, D, E – are seated in a row from left to right.

B sits immediately to the right of A.

C sits somewhere to the left of D.

E sits in the middle seat.

D sits to the left of B.

Question – Who sits in the rightmost seat?

Step‑by‑Step Solution

Step	Reasoning	Result
1. Place E	Middle seat (seat 3)	Seat 3 = E
2. Place B & A	B is immediately right of A.	Two possibilities: (A=seat 1, B=seat 2) OR (A=seat 2, B=seat 3).
3. Eliminate impossible	Seat 3 already has E → B cannot be seat 3.	So A=seat 1, B=seat 2.
4. Place D	D sits to the left of B (seat 2).	D can be seat 1 or seat 0 (doesn’t exist), so D=seat 1.
5. Check C	C is left of D.	D is seat 1 → no left seat → contradiction.
6. Re‑evaluate	Our assumption that D left of B is wrong? Wait, clue says D left of B – correct. But D must be seat 1. Then C left of D impossible.	Therefore our earlier assumption must be wrong.
7. Re‑check clue	Maybe we mis‑read “C sits somewhere to the left of D” – could be C left of D but not necessarily immediately. If D is seat 1, no left seat – impossible.	So D cannot be seat 1.
8. Re‑examine placement of B & A	Option 2: A=seat 2, B=seat 3 (but seat 3 occupied by E). Not possible.
9. Mistake found	We mis‑placed B and E. Let's put E at seat 3 and B at seat 4? But B must be right of A, so A seat 3? Impossible.
10. Start fresh with a grid