In a school students at Pioneer career Kolkata wrote Mock test which has three subjects DI, VA and QA, here is the result of these students. 80 students cleared cut off in DI, 70 in VA and 60 in QA. Only 40 students cleared all the three subjects. 10 students failed to clear cut off even in one subjects. 50 students cleared cut off in VA and QA. 5 students cleared in cut off in only QA.
Solution
With the given information, we can draw the following venn diagram:
For minimum students to appear for the exam, we can maximise the part common to VA and DI.
We will get the following final venn diagram:
So, total students appearing= 80+10+5+10= 105
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