IGDTUW 2026 — Reasoning PYQ

The correct option is (e) If both conclusion I and II follow.

Detailed Explanation:

To analyze the possibilities, we can look at the logical relationships between the terms:

1. Analyzing Conclusion I: All rectangles being triangles is a possibility.

   • Given statement: "Some triangles are rectangles."

   • Rule of Possibility: When "Some $A$ are $B$" is true, it is logically possible that All $B$ are $A$ (i.e., the set of rectangles could be entirely contained inside the set of triangles).

   • Therefore, conclusion

     $$\text{I}$$

     follows.

2. Analyzing Conclusion II: All circles being squares is a possibility.

   • Given statements: "All circles are triangle", "Some triangles are rectangles", and "All rectangles are squares".

   • There is no direct negative restriction (like "No circle is a square" or "No triangle is a rectangle") given between circles and squares.

   • Since all statements are positive, we can easily draw a possible Venn diagram where the entire circle set is placed inside the square set without contradicting any of the given statements.

   • Therefore, conclusion

     $$\text{II}$$

     follows.

Since both conclusions

$$\text{I}$$and$$\text{II}$$

are valid possibilities, option (d) is the right answer.