Question

In a survey of students , it was found that 50% of them like English,60% like maths and 40%like science.if 20% like math and english, 15% like English and science, 25% like maths and science and 5% like all three subject
what percentage of students like only two subject?
what percentage of students don't like any subject?​

Answer 1

Answer:

Step-by-step explanation:

Correct option is

A

23

R.E.F image

A− no of students studying Physics

B− no of students studying Chem

C− no of students studying Maths

A∩B− no of students studying  Phy of chem  

B∩C− no of students studying  Chem of math

C∩A− no of students studying  maths of Phy

A∩B∩C− no of students studying  all '3' subjectively  

(i) no of students in chem is ∩(B)−∩(A∩B)−∩(B∩C)+∩(A∩B∩C)

⇒50−22−20+10=  

18

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(ii) no of students in Phy only ∩(A)−∩(A∩B)−∩(A∩C)+∩(A∩B∩C)

⇒50−22−17+10=  

21

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(iii) no of students in maths only −∩(C)−∩(B∩C)=∩(A∩C)+∩(A∩B∩C)

⇒50−20−17+10=  

23

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