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How many people in a society of 500 own both a bike and a car

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How many people in a society of 500 own both a bike and a car [#permalink]

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New post 13 Jan 2018, 07:17
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How many people in a society of 500 own both a bike and a car?

The number of people who own a bike is 150 and the number of people who own a car is 250.
The difference between the number of people who own both car and bike and the number of people who own neither = 100.
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Re: How many people in a society of 500 own both a bike and a car [#permalink]

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New post 13 Jan 2018, 07:46
saswata4s wrote:
How many people in a society of 500 own both a bike and a car?

The number of people who own a bike is 150 and the number of people who own a car is 250.
The difference between the number of people who own both car and bike and the number of people who own neither = 100.



total = 500
(1) b = 150 and c = 250..
you can say that the ans can be anything from 0 to 150 and neither will be 100 to 250 accordingly
insuff

(2) neither -both = 100..
Nothing much
insuff

combined..
statement II actually comes from statement I itself..
total = 500, b=150 and c = 250, say both is 0, neither = 500-150-250+0=100
so difference is 100-0=100

total = 500, b=150 and c = 250, say both is 100, neither = 500-150-250+100=200
so difference is 200-100=100
..
but BOTH can vary from 0 to 150

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Re: How many people in a society of 500 own both a bike and a car   [#permalink] 13 Jan 2018, 07:46
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