Logical Reasoning Set Theory, Integer Bounds & Arithmetic SZABMU 2022
PMDC Verified Question 14 of 14
X, Y and Z are three whole numbers less than 24 but greater than 11. X is the smallest prime number. Y is the largest number divisible by 3. Z is the smallest number divisible by 11.
A
X is 13, Y is 24, Z is 11
B
X is 13, Y is 21, Z is 22
C
X is 11, Y is 21, Z is 11
D
X is 11, Y is 24, Z is 22
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: X is 13, Y is 21, Z is 22
Concept: Integer Interval Bounds.

Formula: Interval = \((11, 24)\).

Solution: Smallest prime = 13 (X), Largest multiple of 3 = 21 (Y), Smallest multiple of 11 = 22 (Z).

Why other options are incorrect:

• Option A: Includes boundary values 24 and 11.

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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