MAH-CET 2025 — Reasoning PYQ

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Question

MAH-CET 2025 — Reasoning PYQ

MAH-CET | Reasoning | 2025

A, B, C, D, and E are sitting in a row.

1. C is between B and D.

2. A is to the left of B but right of E.

Who is sitting at the center?

Choose the correct answer:

Explanation

Logical Arrangement

1. Analyze the first clue:

$C$ is between $B$ and $D$ . This gives us two possible sub-arrangements:

\text{Case 1: } (B, C, D)

\text{Case 2: } (D, C, B)

2. Analyze the second clue:

$A$ is to the left of $B$ but to the right of $E$ . This establishes a fixed order for these three:

E \leftarrow A \leftarrow B

Mathematically, this can be written as the sequence: $(E, A, B)$ .

3. Combining the clues:

Since the second clue fixes $B$ to the right of $A$ , we must use Case 1 from the first clue to ensure $B$ has space to its left.

Merging $(E, A, B)$ with $(B, C, D)$ :

E \rightarrow A \rightarrow B \rightarrow C \rightarrow D

Final Position Mapping

The final sequence from left to right is:

Extreme Left: $E$
Second Left: $A$
Center: $\mathbf{B}$
Second Right: $C$
Extreme Right: $D$

Conclusion

The person sitting at the center is determined by the position $n = 3$ in a set of $5$ :

\text{Center} = \text{Position } \left( \frac{5+1}{2} \right) = 3

\text{Position } 3 = B

Answer: B is sitting at the center.