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Question No. 1
A survey of 120 people in a particular locality shows that 80 people own bikes and 45 people own bikes but not cars. If each person owns at least one of the two vehicles, then what is the number of people who own a car but not a bike?
A) 60
B) 50
C) 40
D) 30

Dear Student,
Please find below the solution to the asked query:

B stands for bikeC stands for carNowAs each person owns at least one of the two vehiclesnBC=120nB=80nBC¯=45nB-nBC=45   As nXY¯=nX-nXY80-nBC=45  nBC=35We know that nBC=nB+nC-nBC120=80+nC-35nC=120-80+35nC=75Number of people who own a car but not a bike=nCB¯=nC-nBC=75-35=40

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