Question : The average mark obtained by 140 students in an examination is 90. If the average mark of passed students is 120 and the number of students who failed in the examination is 90, then what are the average marks of students who failed in the examination?
Option 1: 60
Option 2: 73.33
Option 3: 85.66
Option 4: 88
Correct Answer: 73.33
Solution : Let the average marks of failed students be $x$. Total students = 140 The number of students who failed = 90 The number of students who passed = 140 – 90 = 50 According to the question, 90$x$ + 50 × 120 = 140 × 90 ⇒ 90$x$ + 6000 = 12600 ⇒ 90$x$ = 6600 ⇒ $x$ = 73.33 Hence, the correct answer is 73.33.
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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
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
Question : Directions: In a class, Ena ranked eighteen from the top and thirty-ninth from the bottom among those who passed an examination. Ten students did not appear in the examination and four failed. What is the total number of students in the class?
Option 1: 40
Option 2: 60
Option 3: 56
Option 4: 70
Question : In an examination, 93% of students passed and 259 failed. The total number of students appearing in the examination was:
Option 1: 3700
Option 2: 3850
Option 3: 3950
Option 4: 4200
Question : In an examination, the original average mark was found to be 50. To deduct marks for computational errors, the marks of 100 candidates were changed from 90 to 60 each, and the new average of marks became 45. What was the total number of candidates who appeared in the examination?
Option 1: 600
Option 2: 300
Option 3: 200
Option 4: 150
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