Question
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.
Answer: Option C
:
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)
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:
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)
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