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GATE 2021 EE – Question 9

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

The number of students passing or failing in an exam for a particular subject are presented in the bar chart above. Students who pass the exam cannot appear for the exam again. Students who fail the exam in the first attempt must appear for the exam in the following year. Students always pass the exam in their second attempt.

The number of students who took the exam for the first time in the year 2 and the year 3 respectively, are ________.

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

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Show answer and explanation

Correct answer: (D) 55 and 48

Explanation

In year 2, $60+5=65$ students took the exam, which includes the 10 students who failed in year 1 and always pass now. So $65-10=55$ are first-timers. In year 3, $50+3=53$ students took the exam, which includes the 5 who failed in year 2, so $53-5=48$ are first-timers.