Goa TET (Teacher Eligibility) /Reasoning Ability

Puzzles

Non-Verbal & Puzzles · free study notes

Goa TET – Reasoning Ability

Topic: Puzzles

What are puzzles?
Think of puzzles as little brain‑games that give you a set of facts and ask you to find the missing piece—just like a detective solving a mystery.


1. Why Puzzles Matter

Reason Everyday Analogy
Logical thinking Figuring out which seat is best for a family movie night.
Attention to detail Spotting the wrong shoe in a stack of shoes.
Speed & accuracy Completing a jigsaw puzzle before the movie starts.

2. Types of Puzzles You’ll See

Puzzle Type Quick Description Sample Question
Logic (Grid) Puzzles A little table with clues; you fill in the blanks. “Three friends A, B, C are sitting on a bench. A sits next to B but not on the left. Who sits in the middle?”
Sequence Puzzles Numbers or letters that follow a rule. “4, 6, 9, 13, … What comes next?”
Spatial/Visual Puzzles Shapes, pictures, or arrangements that need to be matched. “If you rotate the shape 90° clockwise, what will it look like?”
Sudoku‑style Fill a grid so that each row, column, and block has all numbers. “Complete the 4×4 Sudoku below.”

Tip: In Goa TET, most puzzles are logic or sequence based. Spatial puzzles appear less often.


3. How to Attack a Puzzle – A Step‑by‑Step Guide

  1. Read the whole problem once.
    Imagine you’re planning a party: you first read the invitation before deciding on the menu.

  2. Identify the facts.
    Write them down on a piece of paper or in a small table.

  3. Look for constraints.
    Constraints are the “rules” in the puzzle—like “no two friends sit together.”

  4. Eliminate impossibilities.
    Just as you’d rule out a dish that you’re allergic to, cross out options that break a rule.

  5. Fill in what you’re sure of.
    Keep building until only one option remains for each slot.

  6. Double‑check.
    Give yourself a quick mental check: “Does this fit all the clues?”


4. Tiny Example – A Simple Logic Puzzle

Problem
Three friends, Ravi, Meena, and Sunil, are buying tickets for a concert.

  1. Ravi buys a front row ticket.
  2. Meena does not buy a back row ticket.
  3. The one who buys a mid row ticket is not Sunil.
    Question: Who buys the back row ticket?

Solution

Friend Ticket
Ravi Front
Meena Not Back
Sunil Not Mid
  • From 2: Meena is not back.
  • From 3: Sunil is not mid.
  • That leaves Meena → Front (but Ravi already has Front).
  • Thus Meena must have Mid.
  • Therefore Sunil has Back.

Answer: Sunil buys the back row ticket.

Why it works – By eliminating the impossible choices step by step, only one option fits all clues.


5. Quick Strategies for Each Puzzle Type

Puzzle Strategy
Logic Use a grid or table. Mark “✓” for true, “✗” for false.
Sequence Look for a pattern: add 2, add 3, add 4… or multiply, alternate.
Spatial Draw or imagine the shape. Rotate or flip mentally before drawing.
Sudoku Work row‑by‑row; use the “only one place” rule.

6. Practice Tips

  1. Start small.
    Solve 5 simple puzzles each day.

  2. Time yourself.
    Set a timer of 2–3 minutes per puzzle to build speed.

  3. Check your work.
    After solving, quickly review the clues to catch mistakes.

  4. Use online resources.
    Websites like “Logic Puzzles” or “Sudoku” offer free daily puzzles.

  5. Track mistakes.
    Keep a small notebook: write the puzzle, your answer, and why you made an error.


7. Sample Practice Question (for Goa TET)

Question
In a row of 5 seats, people A, B, C, D, and E sit.

  1. A sits immediately to the left of B.
  2. C sits somewhere to the right of D.
  3. E does not sit at either end.
    Find the seating order from left to right.

Quick Solution

  1. A left of B → A‑B is a pair.
  2. E not at ends → E can be seat 2, 3, or 4.
  3. C right of D → D must be left of C.

Try A‑B at seats

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