In an examination, 38% of students failed in Science and 33% failed in Maths while 19% failed in both the subjects. If the number of students who passed in only Science is 700, then determine the total number of students who appeared in the examination.
In an examination, 38% of students failed in Science and 33% failed in Maths while 19% failed in both the subjects. If the number of students who passed in only Science is 700, then determine the total number of students who appeared in the examination.
The correct option is C 5000
Soln:
So, the % of students failed in at least one subject = 19 + 19 + 14 = 52 %
So, the % of students who didn’t fail even in one subject = 100 – 52 = 48%
% of students failed in Science = 38%
% of students who passed in Science = 100 – 38 = 62%
% of students failed in Maths = 33%
% of students who passed in Mathematics = 100 – 33 = 67%
Now, consider the % of students who passed:
So, as we see from the Venn diagram, % of students passed in only Science = 14%.
If the total no. of students who appeared = x, then .14x = 700 x = 5000.
Hence option (c)
Soln:
So, the % of students failed in at least one subject = 19 + 19 + 14 = 52 %
So, the % of students who didn’t fail even in one subject = 100 – 52 = 48%
% of students failed in Science = 38%
% of students who passed in Science = 100 – 38 = 62%
% of students failed in Maths = 33%
% of students who passed in Mathematics = 100 – 33 = 67%
Now, consider the % of students who passed:
So, as we see from the Venn diagram, % of students passed in only Science = 14%.
If the total no. of students who appeared = x, then .14x = 700 x = 5000.
Hence option (c)
