Five chairs C1, C2, C3, C4 and C5 are placed one above the other. If C1 is above C2, C3 is above C4 but below C5 and C4 is above C1, which chair is in the middle ?

Question

Prepp Team · Accepted Answer

Chair Arrangement Logic

The problem involves determining the vertical order of five chairs (C1, C2, C3, C4, C5) based on relative positioning clues.

Analyzing Positional Clues

We are given the following relationships:

C1 is above C2, which means $C1 \gt C2$.
C3 is above C4, which means $C3 \gt C4$.
C3 is below C5, which means $C5 \gt C3$.
C4 is above C1, which means $C4 \gt C1$.

Determining the Full Chair Order

Let's combine the inequalities to find the complete stacking order from top to bottom:

From $C4 \gt C1$ and $C1 \gt C2$, we get the sequence $C4 \gt C1 \gt C2$.
From $C5 \gt C3$ and $C3 \gt C4$, we get the sequence $C5 \gt C3 \gt C4$.
Combining both sequences yields the final order: $C5 \gt C3 \gt C4 \gt C1 \gt C2$.

This represents the stack from the highest chair (top) to the lowest (bottom).

Identifying the Middle Chair

With five chairs stacked in the order C5, C3, C4, C1, C2:

Topmost (1st): C5
2nd: C3
Middle (3rd): C4
4th: C1
Bottommost (5th): C2

Therefore, the chair in the middle is C4.

Prepp Team · Answer

C1

Prepp Team · Answer

C2

Prepp Team · Answer

C3

Chair Arrangement Logic

Analyzing Positional Clues

Determining the Full Chair Order

Identifying the Middle Chair

Important Questions from Box Puzzle

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