In a gathering of 100 people 70 of them can speak Hindi 60 can speak English and 30 can speak French...........

Quantitative Aptitude (CDS) Simplification

In a gathering of 100 people, 70 of them can speak Hindi, 60 can speak English and 30 can speak French. Further, 30 of them can speak both Hindi and English, 20 can speak both Hindi and French. If x is the number of people who can speak both English and French, then which one of the following is correct? (Assume that everyone can speak atleast one of the three languages)

$9< x\leq 30$

$0\leq x< 8$

x = 9

x = 8

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Explanation:

Let A, Band C be the number of people who can speak Hindi, English and French.

It is clear from the above Venn diagram that (10 − x) can speak French only and (30 − x) can speak English only. We know that the value of x is always positive. Hence, from the options, the possible value of x is 0 $\leq$ x < 8.