The average marks of a 50 member class in the exams is 60. The hi

The average marks of a 50 member class in the exams is 60. The hi
| The average marks of a 50 member class in the exams is 60. The highest mark exceeds the lowest by 120 marks. If these two marks are excluded, the average of the remaining marks reduces by 1. Find the lowest mark?

A. 24

B. 32

C. 45

D. 144

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

Total marks scored by the whole class = 50 × 60 = 3000

Total mark after excluding highest and lowest = 48 × 59 = 2832

⇒ Sum of marks of lowest and highest = 3000 – 2832 = 168

Now

Let lowest marks be "x"

⇒ Highest mark = x + 120

⇒ x + x + 120 = 168

∴ x = 24

Hence the lowest mark is 24

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