Consider the given diagram $500$ candidate appeared in an examination conducted for the test in English, Hindi and Maths represented by the circle E, H and M respectively The diagram M Gives the number of candidates who failed in different tests ?
What is the percentage of candidates who failed in atleast two subject ?

0.078

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1.0

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6.8

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7.8

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Solution

The correct option is C $7.8$
Number of candidates who failed in at least two subjects
$=$ $n (E \cap H) + n (H \cap M) + n (E \cap M) + n (E \cap H \cap M)$
$= 10 + 12 + 12 + 5 = 39$
$∴$ Required percentage = $(\frac{39}{500} \times 100)$ $%$ $= 7.8 %$

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The correct option is C 7.8Number of candidates who failed in at least two subjects= n(E∩H)+n(H∩M)+n(E∩M)+n(E∩H∩M)=10+12+12+5=39∴Required percentage = (39500×100)% =7.8%

The correct option is C $7.8$
Number of candidates who failed in at least two subjects
$=$ $n (E \cap H) + n (H \cap M) + n (E \cap M) + n (E \cap H \cap M)$
$= 10 + 12 + 12 + 5 = 39$
$∴$ Required percentage = $(\frac{39}{500} \times 100)$ $%$ $= 7.8 %$