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Q.

In a certain town 25% families own a cellphone, 15% families own a television and 65% families own neither a cellphone nor a television. If 1500 families own both a cellphone and a television. Then the total number of families in the town is

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a

10,000

b

20,000

c

30,000

d

40,000

answer is C.

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Detailed Solution

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Given that In a town 25% families own a cellphone, 

15% families own a television and

 65% families own neither a cellphone nor a television. it means 35% families own either cell phone or television

Let x be the number of people in the town

hence, use the formula nAB=nA+nB-nAB

35x100=25x100+15x100-1500

Simplifying the above relation

35x=25x+15x-1500005x=150000x=30,000

Therefore, the number of population in the town is 30,000

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