Question

In a language survey of students it is found that

80 students know English, 60 know French, 50

know German, 30 know English and French,

20 know French and German, 15 know English

and German and 10 students know all the three

languages. How many students know at least

one language?​

Answer 1

Answer:

Total no.of students is missing????

Answer 2

Step-by-step explanation:

LOGICAL REASONING

80 students can speak English, 60 French and 50 German. 40 students speak English and French. 30 students speak French and German, 25 students speak English and German and 10 students speak all 3 languages.

How many students can speak only 2 language ?

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ANSWER

n(E)=80, n(F)=60, n(G)=50

n(E∩F)=40, n(F∩G)=30, n(G∩E)=25

n(E∩F∩G)=10

Number of students can speak only 2 Language=n(E∩F)+n(F∩G)+n(G∩E)−3×n(E∩F∩G)

=40+30+25−3×10

=95−30=65