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Question : The average mark obtained by 150 students in an examination is 40. If the average marks of passed students are 60 and those of failed students are 20, what is the number of students who passed the examination?

Option 1: 25

Option 2: 50

Option 3: 75

Option 4: 100


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 12th Jan, 2024

Correct Answer: 75


Solution : Let the number of students who pass be $x$.
Total marks obtained = 150 × 40 = 6000
According to the question,
60$x$ + (150 – $x$)20 = 6000
⇒ 60$x$ + 3000 – 20$x$ = 6000
⇒ 40$x$ = 3000
⇒ $x$ = 75
Hence, the correct answer is 75.

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