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Average marks of 210 students who appeared in an exam are 45. Average marks of failed students are 27 while the average marks of passed students are 54. Number of passed students is.

A120

B140

C180

D100

Answer:

B. 140

Read Explanation:

Let number of failed students be x Number of passed students = 210 – x x × 27 + (210 – x) × 54 = 210 × 45 ⇒ 27x + 11340 – 54x = 9450 ⇒ 54x – 27x = 11340 – 9450 ⇒ 27x = 1890 ⇒ x = 1890/27 ⇒ x = 70 Number of passed students = 210 - 70 = 140


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