IGDTUW 2026 — Reasoning PYQ

The correct option is (a) X, Z, Q, S.

Detailed Explanation:

The most efficient way to solve team formation puzzles is by using the process of elimination based on the given rules:

• Rule 1: $\text{X}$ and $\text{P}$ cannot be together.

  • Looking at option (b) $[\text{X, Y, P, R}]$, both $\text{X}$ and $\text{P}$ are present. This violates Rule 1, so option (b) is eliminated.

  • Looking at option (d) $[\text{X, Z, P, Q}]$, both $\text{X}$ and $\text{P}$ are present. This violates Rule 1, so option (d) is eliminated.

• Rule 2: If $\text{Z}$ is selected, $\text{Q}$ must be selected $(\text{Z}\to \text{Q})$.

  • Let's check the remaining options. In option (a) $[\text{X, Z, Q, S}]$, $\text{Z}$ is selected and $\text{Q}$ is also present. This satisfies Rule 2.

• Rule 3: $\text{R}$ and $\text{S}$ cannot be selected together.

  • Looking at option (c) $[\text{Y, Z, R, S}]$, both $\text{R}$ and $\text{S}$ are present. This violates Rule 3, so option (c) is eliminated.

Verification of the Correct Combination:

Let’s verify if option (a) $[\text{X, Z, Q, S}]$ satisfies all the constraints:

1. Does it contain both $\text{X}$ and $\text{P}$? No, only $\text{X}$ is present. (Valid)

2. Since $\text{Z}$ is chosen, is $\text{Q}$ chosen? Yes, $\text{Q}$ is present. (Valid)

3. Are $\text{R}$ and $\text{S}$ together? No, only $\text{S}$ is present. (Valid)

Since all conditions are met perfectly, the group X, Z, Q, S can form a valid team.