No. of people who read Hindu = 285
No. of people who read TOI = 127
No. of people who read IE = 212
Now,
No. of people who read Hindu and TOI both is = 20
No. of people who read TOI and IE both is = 35
No. of people who read Hindu and IE both is = 29
Let No. of people who read Hindu , TOI and IE all is = x ;
So, only Hindu is = 285-20-29-x = 236-x ;
Only TOI is = 127-20-35-x = 72-x ;
Only IE is = 212-35-29-x = 148-x ;
Now, 236-x + 72-x + 148-x + 20 + 29 + 35 + x + 50 = 500 590 -2x = 500
So, x = 45 this is the value who read all the 3 dailies.
So, No. of people who read only one paper is = 236-45 + 72-45 + 148-45 = 191 + 27 + 103 = 321.
Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages.
Tamil ? Number of persons who can speak is 6. Only Tamil 6 ? 2 ? 1 = 3
Hindi - Number of persons who can speak is 15. Only Hindi 15 ? 2 ? 1 12
Gujarati ? Number of persons who can speak is 6. Only Gujarati 6 ? 1 = 5
Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20
Number of persons who can speak two languages = 2
Number of person who an speak all the languages = 1
Total number of persons = 23.
Given,
A + B = 2C ----(i)
C + D = 2A----(ii)
Adding (i) and (ii) we get : A + B + C + D = 2C + 2A
=> B + D = A + C
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