Question Details

The following table shows the classification of 100 students based on the marks obtained by them in Maths and Science in an examination.

Subjects Marks out of 100
80 and above 60 and above 40 and above 20 and above 0 and above
Maths 12 35 80 94 100
Science 16 43 76 88 100
Average (Aggregate) 14 39 78 91 100

Find the number of students scoring less than 40% marks in aggregates.

Options

A

28

B

26

C

24

D

22

Show Answer

Correct Answer :

Option D

22

Solution :

The correct answer is 22.

Step-by-Step Explanation:

1. Analyze the given table data:
The table provides the cumulative distribution of 100 students based on their marks out of 100 in Maths, Science, and their Average (Aggregate).
Looking at the row for Average (Aggregate):

• Number of students scoring 0 and above (Total students) = 100
• Number of students scoring 40 and above = 78

2. Calculate the number of students scoring less than 40% marks:
Since the exam is out of 100 marks, 40% of 100 marks is equal to 40 marks.
Therefore, students scoring less than 40% marks are those who scored strictly less than 40 marks in aggregate.

We can find this by subtracting the number of students who scored 40 and above from the total number of students:

Students scoring less than 40%=Total students-Students scoring 40 and above

Substituting the values obtained from the Aggregate row of the table:

Students scoring less than 40%=100-78=22

Hence, the number of students scoring less than 40% marks in aggregate is 22.

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