Latest TCS Aptitude Question SOLUTION: In a class of 150 students 55 speak English;85 speak Telugu and 30 speak neither English nor Telugu 48. How many speak both English and Telugu?

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In a class of 150 students 55 speak English;85 speak Telugu and 30 speak neither English nor Telugu

48. How many speak both English and Telugu?

Asked In TCS chandreyee chowdhury (11 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

Kalidindi Mounika  (11 years ago)

n(E)=55 ; n(T)=85 ;
30 neither speak english not telugu => out of 150 students only (150-30)=120 speak english or telugu
we know that n(E U T)=n(E)+n(T)-n(E intersection T)
=> 120 = 55+85-n(E intersection T)
=>n(E intersection T)= 20 => students who speak both english & telugu

Is this solution Helpfull? Yes (54) | No (2)  

Jigyasa Kumar  (11 years ago)

p(E)=55, p(T)=85
p(EuT)=150 - 30 = 120
p(EuT)=p(E)+ p(T)-p(E intersection T)
120=55+85-p(E intersection T)
so p(E intersection T) = 120 - (55+85)=20
so 20 students speak both

Is this solution Helpfull? Yes (8) | No (2)  

Shiva  (11 years ago)

we khow,p(aUb)=p(a)+(b)-p(a intersection b)
so,p(aUb)= 55+85-30=110.

Is this solution Helpfull? Yes (5) | No (25)  

priyadarshini.k  (11 years ago)

20..................................................

Is this solution Helpfull? Yes (4) | No (1)  

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