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Previous Year Question (PYQs)



Statements:
All sands are beaches.
All shores are beaches.
Some beaches are trees.
All trees are hotels.
Conclusions:
I. Some shores are hotels.
II. All beaches are shores.
III. Some beaches are hotels.
IV. Some sands are trees.





Solution

From statements:

Sands ⊆ Beaches

Shores ⊆ Beaches

Some Beaches ⊆ Trees

Trees ⊆ Hotels

Check conclusions:

I. Some shores are hotels → FALSE.
No link between shores and trees/hotels.

II. All beaches are shores → FALSE.
Given Shores ⊆ Beaches, reverse not true.

III. Some beaches are hotels → TRUE.
Some beaches are trees, and
Trees ⊆ Hotels ⇒ those beaches are hotels ✔️

IV. Some sands are trees → FALSE.
Sands ⊆ Beaches but no link sands ↔ trees.

So only conclusion III is correct.


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