Find the maximum $\%$ of students who could have problems in all $4$ subjects

Question

In a school $90\%$ of students faced problem in $maths$, $80\%$ of students faced problem in $computers$, $75\%$ of students faced problem in $sciences$, $70\%$ of students faced problem in $social \ sciences$.

Find the maximum $\%$ of students who could have problems in all $4$ subjects.

I have no idea to draw a venn diagram for $4$ sets if that s possible.

I also think that this question cannot be solved due to lack of information but not sure.

I look for a short and simple way .

I have studied maths up to $12$th grade.

Yes I think so by the context and lack of data in the question. — R K, Feb 01 '16 at 11:26

score 1 · Answer 1 · answered Feb 01 '16 at 11:19

1

Do you even need a Venn diagram? Can't you just say that e.g. if there are 100 pupils: 1-90 have problems in maths, 1-80 in computers, 1-75 in science, 1-70 in social science => 70% have problems in all 4?

answered Feb 01 '16 at 11:19

sjb

88

I think you mean $\le 70$% :-). – Frentos Feb 01 '16 at 11:21
Are you using logic that, $70%$ of students faced problem in social sciences=.$70%$ have problems in all $4$.? – R K Feb 01 '16 at 11:22
@Frentos, sorry, => was meant as an arrow, not a maths symbol @R K yes, if we're after a max. – sjb Feb 01 '16 at 12:59

Find the maximum $\%$ of students who could have problems in all $4$ subjects

1 Answers1