NIMCET 2025 — Reasoning PYQ

Topic: Linear Seating Arrangement

Question:

Five friends $A,B,C,D$ and $E$ are sitting in a row. The following conditions hold:

I. $A$ is sitting next to $B$.

II. $C$ is sitting at one of the ends.

III. $D$ is sitting between $A$ and $E$.

IV. $E$ is sitting to the right of $D$.

Who is sitting at the second position?

Options:

A) $A$

B) $B$

C) $D$

D) $E$

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Solution:

1. Analyzing the Core Block:

• From (III): $D$ is between $A$ and $E$.

• From (IV): $E$ is to the right of $D$.

• This creates the block:

  $$A-D-E$$

2. Integrating B:

• From (I): $A$ is next to $B$. Since $D$ is already to the right of $A$, $B$ must be to the left of $A$.

• The updated block is:

  $$B-A-D-E$$

3. Positioning C:

• From (II): $C$ must be at one of the ends. To maintain the $B-A-D-E$ sequence, $C$ must be at the far right.

• Final Sequence:

  $$B-A-D-E-C$$

4. Determining the Second Position:

• Position 1: $B$

• Position 2: $A$

• Position 3: $D$

• Position 4: $E$

• Position 5: $C$

Final Deduction:

Correct Answer: Option A