A 100 mark examination was administered to a class of 50 students… - Vidyadip

MCQ

A $100$ mark examination was administered to a class of $50$ students. Despite only integer marks being given, the average score of the class was $47.5$. Then, the maximum number of students who could get marks more than the class average is

A
$25$
B
$35$
C
$45$
✓
$49$

✓

Answer

Correct option: D.

$49$

d
(d)

Total number of students $=50$

Average marks of student $=47.5$

$\therefore$ Total marks of students

$=50 \times 47.5=2375$

Now, the student get integer marks Hence, the maximum number of students we will divide total mark by $48$.

$\frac{2375}{48}=49$

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