mehul vaidya
u are absolutely correct. Since the question is not giving any information about the people who don't speak any of the languages, we should not neglect it.
$| E | = 18, | H | =15 , |K| =22 , |E∩ H| =9 , |E∩K| = 11 , |H∩K|, |E∩H∩K| =X$
Let the people who don't speak any of the languages is Y;
According to the principle of Mutual Exclusion:
$|E∪ H∪ K| = 18 + 15+ 22 -(9+11+13) + X$
$28 - Y = 22 + X$
$X + Y = 6 ----------(1)$
There are $7$ possible pairs of values which satisfy this equation here;
$(6,0),(5,1)(4,2)(3,3)$
Since we have to follow the options, we will take pair$(6,0)$ indicates $X =6$ otherwise $X$ can be $5, 4,3,2,1,0$