Question
The average score obtained by 28 students in a class
test is 68 marks. The top place was shared by 3 people who got the same score. If the lowest score was 40 marks, then which of the following could be the highest score obtained by toppers? (Marks scored by each student is a whole number)Solution
To maximize the toppers score, we must minimize the scores of everyone else. So, let the scores of other 25 students be 40 marks each. So, total marks obtained by 25 students = 40 x 25 = 1000 Remaining marks = 1904 - 1000 = 904 So, score of toppers = 904 ÷ 3 = 301 marks + 1 additional mark This additional mark could be obtained by any other student.
The internal, or geothermal, (1)/heat from within the Earth are (2)/ responsible for the fact that (3)/temperature increases with depth (4).
The consecration of (1)/the Eucharist, as well as (2)/the administration, (3)/were performed in English (4).
Most risk factors for (1)/pre-school overweight are modifiable (2)/and allows at-risk groups to (3)/be identified, say researchers (4).
An eye examination is called for (1)/once a year to ensure that (2)/diabetes have not resulted in retinopathy, (3)/which could lead to blindness (4).
