Logical Reasoning Set Theory, Integer Bounds & Arithmetic UHS 2024
PMDC Verified Question 9 of 14
X, Y and Z are three whole numbers less than 24 but greater than 11. X is the smallest prime number in this range. 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: Number Bounds & Factors.

Formula: Bounds = \(12 \le N \le 23\).

Solution:

  • Smallest prime in range = 13 (\(X\)).


  • Largest multiple of 3 in range = 21 (\(Y\)).


  • Smallest multiple of 11 in range = 22 (\(Z\)).


Why other options are incorrect:

• Option A: Includes 24 and 11 which violate strictly 'less than 24 and greater than 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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