Logical Reasoning Percentages, Ratios & Unit Calculations BUMHS 2025
PMDC Verified Question 2 of 19
In a certain university, 25% candidates failed university admission test. Of those who passed the test, 80% got the admission in the university. If 1800 got admission, how many candidates appeared in the test?
A
9000
B
6000
C
3000
D
5000
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: 3000
Concept: Percentage Word Problems.

Formula: \(\text{Admitted} = X \times (1 - \text{Failed}\%) \times \text{Passed Admitted}\%\)

Solution:

  • Let total candidates = \(X\).


  • Passed fraction = \(100\% - 25\% = 75\% = 0.75\).


  • Admitted fraction = \(80\% \text{ of } 0.75X = 0.80 \times 0.75X = 0.60X\).


  • Set equal to given count: \(0.60X = 1800 \implies X = \frac{1800}{0.60} = 3000\).


Why other options are incorrect:

• Options A, B, and D: Result from misinterpreting percentages or dividing by wrong factors.

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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