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

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Current Student
Joined: 27 May 2014
Posts: 525
GMAT 1: 730 Q49 V41
How many people in a society of 500 own both a bike and a car  [#permalink]

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13 Jan 2018, 07:17
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:54) wrong based on 2 sessions

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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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Math Expert
Joined: 02 Aug 2009
Posts: 7199
Re: How many people in a society of 500 own both a bike and a car  [#permalink]

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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

E

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This discussion does not meet community quality standards. It has been retired.

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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