Module 4 · Agniveer Reasoning

Puzzles

Seating, comparison puzzles.

Seating Arrangement · Comparison

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Learning Objectives

Understand the fundamental concepts of Puzzles
Apply key formulas and techniques to solve problems
Practice with exam-level questions to build speed and accuracy

Key Concepts

What are Puzzles & Seating Arrangement?

Puzzles and seating arrangement questions are among the most time-consuming but scoring topics in SSC CGL Tier 1 reasoning. They test your ability to process multiple conditions simultaneously, arrange information in a structured manner, and derive conclusions step by step.

Types of Arrangements

1. Linear Arrangement (Single Row): People or objects arranged in a straight line, all facing the same direction (usually North). Conditions specify who sits next to whom, who is at an end, etc.

2. Linear Arrangement (Facing Each Other): Two rows of people facing each other. Conditions across rows must be handled carefully.

3. Circular Arrangement: People sitting around a circle. All face the center. Left and right are determined based on who faces the center.

4. Comparison Puzzles: People are compared on parameters like height, age, weight, rank, or marks. Conditions use comparatives: 'A is taller than B but shorter than C'.

Solved Examples

Example 1 (Linear Arrangement)

Five friends A, B, C, D, E are sitting in a row facing North.
1. A is to the immediate left of B.
2. C is at the left end.
3. D is third to the right of C.
4. E is between B and D.

Who is at the right end?

a) A b) D c) E d) B

Solution: b) D. From (2): C _ _ _ _. From (3): C _ _ D _. From (1): A is left of B, so AB must be together. From (4): E is between B and D, so arrangement: C, _, _, _, _. Place A and B: since D is at 4th position (from (3)), the right end is 5th. AB must be at positions 2-3: C A B D _. But E must be between B and D â€” with B at 3 and D at 4, E must be... between 3 and 4. That doesn't work. Let me redo: From (3): C is at 1, D is third to right of C, so D at 4. So: 1=C, 4=D. A is left of B, so A,B are adjacent with A before B. E is between B and D. So sequence: C A B E D or C _ B E D with A somewhere. The arrangement: C A B E D. So D is at right end (position 5).

Example 2 (Comparison Puzzle)

Among five friends R, S, T, U, V, T is taller than V but shorter than R. S is taller than U but shorter than T. U is not the shortest. Who is the tallest?

a) R b) S c) T d) Cannot be determined

Solution: a) R. From conditions:
R > T > V (since T is taller than V but shorter than R)
T > S > U (since S is taller than U but shorter than T)
U is not the shortest â€” combined order: R > T > S > U > V. So R is the tallest.

Example 3 (Circular Arrangement)

Six friends A, B, C, D, E, F sit around a circular table facing the center. A is between D and F. B is second to the left of E. C is to the immediate right of E. Who is between B and C?

a) A b) D c) F d) E

Solution: d) E. Place E. C is to immediate right of E (facing center â†’ right means clockwise). B is second to the left of E (so B is 2 positions anti-clockwise from E). A is between D and F. The order around the circle (clockwise): E - C - ... - B - ... - back to E. Positions: Let's place E at top. C is right of E (clockwise): E, C. B is second left of E (two anti-clockwise): so B is two positions counterclockwise from E. Going around: E (top), C (top-right), something, B (top-left?), something, back to E. A is between D and F. This gives: E - C - D - A - F - B (clockwise). Between B and C: going from B clockwise to C: B - E - C. So E is between B and C.

Shortcut Techniques

Draw a diagram for every arrangement â€” use blanks/positions and fill them in step by step.
Use a grid or table for multi-parameter puzzles (person + color + city + profession, etc.).
Mark definite information first, then use conditions that depend on it.
For 'immediate left/right', define the facing direction clearly. For a row facing North: immediate left = West side.

Pro Tip

For circular arrangement facing center, 'immediate right' means clockwise, and 'immediate left' means anti-clockwise. Write this rule at the top of your page before solving.

Advanced Problem Types

Competitive exams feature advanced variations combining multiple reasoning concepts. Master these to score high.

Multi-Step Problems

Some questions require applying multiple reasoning techniques sequentially. Break problems into clear steps.

Common Traps

Assuming a pattern continues without checking all elements
Misinterpreting negative statements in syllogisms
Forgetting wrapping in alphabet coding (Z to A transition)
Confusing directions (East vs West)
Overlooking either-or cases in syllogisms
Not considering all possible arrangements in puzzles

Pro Tip

For puzzles, start with the most concrete clue and build around it. Draw diagrams for seating arrangements and family trees for blood relations.

Advanced Problem Types

Competitive exams feature advanced variations combining multiple reasoning concepts. Master these to score high.

Multi-Step Problems

Some questions require applying multiple reasoning techniques sequentially. Break problems into clear steps.

Common Traps

Assuming a pattern continues without checking all elements
Misinterpreting negative statements in syllogisms
Forgetting wrapping in alphabet coding (Z to A transition)
Confusing directions (East vs West)
Overlooking either-or cases in syllogisms
Not considering all possible arrangements in puzzles

Pro Tip

For puzzles, start with the most concrete clue and build around it. Draw diagrams for seating arrangements and family trees for blood relations.

Advanced Problem Types

Competitive exams feature advanced variations combining multiple reasoning concepts. Master these to score high.

Multi-Step Problems

Some questions require applying multiple reasoning techniques sequentially. Break problems into clear steps.

Common Traps

Assuming a pattern continues without checking all elements
Misinterpreting negative statements in syllogisms
Forgetting wrapping in alphabet coding (Z to A transition)
Confusing directions (East vs West)
Overlooking either-or cases in syllogisms
Not considering all possible arrangements in puzzles

Pro Tip

For puzzles, start with the most concrete clue and build around it. Draw diagrams for seating arrangements and family trees for blood relations.

Advanced Problem Types

Competitive exams feature advanced variations combining multiple reasoning concepts. Master these to score high.

Multi-Step Problems

Some questions require applying multiple reasoning techniques sequentially. Break problems into clear steps.

Common Traps

Assuming a pattern continues without checking all elements
Misinterpreting negative statements in syllogisms
Forgetting wrapping in alphabet coding (Z to A transition)
Confusing directions (East vs West)
Overlooking either-or cases in syllogisms
Not considering all possible arrangements in puzzles

Pro Tip

For puzzles, start with the most concrete clue and build around it. Draw diagrams for seating arrangements and family trees for blood relations.

Practice Questions

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