Bunuel
The teachers’ colony has 2800 members, out of which 650 members read only English newspaper. 550 members read only Hindi newspaper and 450 members read only Marathi newspaper. The number of members reading all the 3 newspapers is 100. Members reading Hindi as well as English newspaper are 200. 400 members read Hindi as well as Marathi newspaper and 300 members read English as well as Marathi newspaper. Find the number of members reading no newspaper.
A. 150
B. 450
C. 550
D. 750
E. 800
By set theory, Total = Only A + Only B + Only C + (Only A and B) + (Only A and C) + (Only B and C) + All three + Neither 3
Only English = 650, Only Hindi = 550 and Only Marathi = 450. All 3 = 100
Only English and Hindi = English and Hindi - All 3 = 200 - 100 = 100
Only Hindi and Marathi = Hindi and Marathi - All 3 = 400 - 100 = 300
Only English and Marathi = English and Marathi - All 3 = 300 - 100 = 200
Therefore 2800 = 650 + 550 + 450 + 100 + 300 + 200 + 100 + Neither 3
Neither 3 = 2800 - 2350 = 450
Option BArun Kumar