3000 families live in a certain town. How many families who live in the town own neither a car nor a television set?
(1) Of the families who live in the town, 2980 own a car.
(2) Of the families who live in the town, 2970 own both a car and a television set.
1. P(no car) = 3000-2980 = 20 --> Insufficient
2. P(car) + P(TV) - P(TV+Car) = Total = P(car) + P(TV) - 2970 = 3000 --> Insufficient
(1) and (2) together: 2980 + P(TV) - 2970 = 3000, P(TV) = 2990
P(no car) + P(no TV) - P(no car and no TV) = Total --> 20 + 10 - P(no car and no TV) = X
I get stuck there but I know the answer is that both statement together are not sufficient, so is that because I don't know what X is? Or did I approach the problem wrong.
Thanks
Overlapping Sets Problem
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- neerajkumar1_1
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This problem can be solved simply using the following formula for sets..
Total = A + B - Both + Neither
from the question stem, u r given the total
u are asked to find Neither, so all u need is values A, B and both
In this questions assume A = having a car
and B = having a television
Statement 1)
gives u A but nothing else... insufficient
Statement 2)
gives u Both but nothing else... insufficient
Together,
U still need the value for B, in order to find neither...
hence insufficient...
IMO: E
Total = A + B - Both + Neither
from the question stem, u r given the total
u are asked to find Neither, so all u need is values A, B and both
In this questions assume A = having a car
and B = having a television
Statement 1)
gives u A but nothing else... insufficient
Statement 2)
gives u Both but nothing else... insufficient
Together,
U still need the value for B, in order to find neither...
hence insufficient...
IMO: E
in order solve this kind of question ,you need following category information
Tv
Car
nether
either
and the result
statement 1 and 2 gives us only 3 of them, that's why it's not possible to solve this question, therefore IMO E
Tv
Car
nether
either
and the result
statement 1 and 2 gives us only 3 of them, that's why it's not possible to solve this question, therefore IMO E