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GATE 2021 AG – Question 9

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

The chart shows annual passes and failures. Passing students cannot retake; first-time failures must retake next year and always pass their second attempt. Find first-time examinees in years 2 and 3.

Diagram for GATE 2021 AG question 9
  1. 65 and 53
  2. 60 and 50
  3. 55 and 53
  4. 55 and 48

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Correct answer: (D) 55 and 48

Explanation

Year2 total=60+5=65,including the10 who failed year1,so first-time count=55. Year3 total=50+3=53,including5 repeaters from year2,so first-time count=48. Thus **55 and 48,D**. Pass counts alone do not count all first-time candidates.

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