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Question : The average mark obtained by 180 students in an examination is 50. If the average mark of passed students is 80 and that of the failed students is 40, then what is the number of students who failed the examination?

Option 1: 90

Option 2: 135

Option 3: 100

Option 4: 45


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 135


Solution : Let the number of failed students be $x$.
Total marks obtained = 180 × 50 = 9000
According to the question,
40$x$ + (180 – $x$) × 80 = 9000
⇒ 40$x$ + 14400 – 80$x$ = 9000
⇒ 40$x$ = 5400
⇒ $x$ = 135
Hence, the correct answer is 135.

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