Bunuel
Does Jim own at least one dog?
(1) Jim lives in an apartment complex that is home to 20 people (including Jim) who own a total of 39 dogs.
(2) No one in Jim’s apartment complex owns more than 2 dogs.
Is the number of dogs owned by Jim >= 1 ?
We have two outcomes - Yes OR No.
Statement 1:
(1) Jim lives in an apartment complex that is home to 20 people (including Jim) who own a total of 39 dogs.
19 people + Jim lives in an apartment complex.
They own a collective of 39 dogs.
Eventhough, the average is 1.95, that doesn’t mean everyone owns a dog. There exist multiple combinations for this situation.
One person can own all the 39 dogs and the rest can have no dogs.
That one person can be either Jim or someone else.
Hence,
Insufficient.
Statement 2:
(2) No one in Jim’s apartment complex owns more than 2 dogs.
The values of dogs that the apartment people can own are {0, 1, 2 }.
As, we cannot ascertain which value is for Jim.
Hence,
Insufficient.
Combining both statements 1 and 2, we get
WORST CASE: let’s allot each of the 19 member’s the max value of 2 dogs each.
19*2 = 38 dogs.
we are left with 1 dog, and that one dog has to be allotted to Jim.
Thus, Jim has a minimum of 1 dog. Hence,
Sufficient. Option C