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05 Mar 2018, 07:13
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A
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Difficulty:
85%
(hard)
Question Stats:
32% (01:26) correct
68%
(01:29)
wrong
based on 28
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In a certain town, 40 percent of the residents own a car. What percent of the residents own neither a house nor a car?
(1) Each resident who owns a house also owns a car but the vice-versa is not true
(2) 30 percent of the residents own a house
(1) Each resident who owns a house also owns a car but the vice-versa is not true
(2) 30 percent of the residents own a house
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05 Mar 2018, 11:09
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itisSheldon
Statement 1
Each resident who owns a house also owns a car, that means those 'who own a house' are a subset of 'those who own a car'. Now those who own a car are 40%, and the ones with house are a subset of and less than 40%.
This means residents who lie outside this set of 40% (meaning those who dont have a car) will be our answer, because those who dont have a car cannot have a house also.
So percentage of residents who own neither a house nor a car = 100 - 40% = 60%.
Sufficient.
Statement 2
40% own a car, and 30% own a house. But we dont know how many own both a car and a house. So we will not be able to calculate those who own neither a car nor a house. Not sufficient.
Hence A answer
