Q6. In a town of 500 people, 285 read Hindu and 212 read Indian Express and 127 read Times of India, 20 read Hindu and Times of India and 29 read Hindu and Indian Express and 35 read Times of India and Indian express. 50 read no newspaper. Then how many read only one paper?
Q6. In a town of 500 people, 285 read Hindu and 212 read Indian Express and 127 read Times of India, 20 read Hindu and Times of India and 29 read Hindu and Indian Express and 35 read Times of India and Indian express. 50 read no newspaper. Then how many read only one paper?
The correct option is D (d) 321
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.
(d) 321
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.
