Logical Reasoning Categorical Syllogisms & Overlapping Sets DUHS 2023 Retake
PMDC Verified Question 15 of 22
Statements:
All cups are pencils.
Some pencils are pens.

Conclusions:
I. Some pencils are cups.
II. No pencil are cups.
III. Some cups are pens.
A
Only conclusion I follows
B
Only conclusion III follows
C
Only conclusion I and II follow
D
Only conclusion II and III follow
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Only conclusion I follows
Concept: Universal Affirmative Conversions.

Formula: \(\text{All } A \text{ are } B \implies \text{Some } B \text{ are } A\)

Solution: 'All cups are pencils' converts directly to 'Some pencils are cups' (I is valid).

Why other options are incorrect:

• Option B: Cups and pens do not have a guaranteed overlap.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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