Twelve students sit for an exam which has a maximum score of 100. The average of twelve scores achieved by the students in the exam was 95. What is the minimum mark a student could have scored?

40

83

To find the minimum score, assume maximum scores for the other 11:

If 11 students scored 100, then
(1100+x)/12 = 95
x = 40

1140/12 = 95

95

To find the minimum mark a student could have scored, we need to consider two scenarios:

Scenario 1: All students except one scored the maximum possible mark of 100.
Scenario 2: All students scored less than the maximum mark, and one student scored the minimum possible mark.

Since the average of the twelve scores is given as 95, we can calculate the sum of all twelve scores. The total sum would be the average multiplied by the number of students (95 x 12 = 1140).

In scenario 1, eleven students scored 100, so their total score would be 11 x 100 = 1100. To find the minimum mark for the twelfth student, we subtract this sum from the total sum: 1140 - 1100 = 40.

Therefore, the minimum mark a student could have scored is 40.

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