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M.vs vivek vardhan Grade: 12
        

In an exam 70% passed in English 65% passed in Maths while 27% failed in both.If 248 candidates  passed in both.Find the total number of candidates

6 years ago

Answers : (1)

Priyansh Bajaj AskiitiansExpert-IITD
30 Points
										

Dear Vivek,

Solution:-Let the total no. of candidates are 'n'.


Then, no. of candidates passed in English (E) = 0.7n,


        no. of candidates passed in Maths (M) = 0.65n, and


        no. of candidates neither passed in English nor in Maths (E‾ ∩ M‾) = 0.27n.


[Here, E‾ and  M‾ are the complements of E and M respectively.]


        no. of candidates passed in both (E ∩ M) = 248


We know, (E U M) = n - (E‾ ∩ M‾) [Very standard formula]


and (E U M) = (E) + (M) - (E ∩ M) [Another standard formula]


These two formulas will give-


n - (E‾ ∩ M‾) = (E) + (M) - (E ∩ M)


n - 0.27n = 0.7n+0.65n - 248


n = 400 (Ans)



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All the best Vivek!!!


Regards,

Askiitians Experts

Priyansh Bajaj

6 years ago
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