1. There are 150 residents in a society. Out of them, 50 residents own a motorcycle, 60 residents own a car and 20 residents own both a car and a motorcycle. How many residents neither own a motorcycle nor a car?
Write Comment
Comments
By: anil on 05 May 2019 02.12 am
Total number of residents in the society = $$a+b+c+d=150$$ ---------------(i) Residents who own motorcycle = $$b+c=50$$ ----------------(ii) Residents who own car = $$a+b=60$$ --------------(iii)
Also, Residents who own both car and motorcycle = $$b=20$$ Substituting above values in equations (ii) and (iii), => $$c=50-20=30$$ and $$a=60-20=40$$ $$ herefore$$ From equation (i), we get : $$40+20+30+d=150$$ => $$d=150-90=60$$ Thus, 60 residents neither own a motorcycle nor a car. => Ans - (C)
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
Also, Residents who own both car and motorcycle = $$b=20$$ Substituting above values in equations (ii) and (iii), => $$c=50-20=30$$ and $$a=60-20=40$$ $$ herefore$$ From equation (i), we get : $$40+20+30+d=150$$ => $$d=150-90=60$$ Thus, 60 residents neither own a motorcycle nor a car. => Ans - (C)