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A
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Difficulty:
35%
(medium)
Question Stats:
66% (01:22) correct
34%
(01:39)
wrong
based on 1061
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Of all the houses on Kermit Lane, 20 have front porches, 20 have front yards, and 40 have back yards. How many houses are on Kermit Lane?
(1) No house on Kermit Lane is without a back yard.
(2) Each house on Kermit Lane that has a front porch does not have a front yard.
(1) No house on Kermit Lane is without a back yard.
(2) Each house on Kermit Lane that has a front porch does not have a front yard.
17 May 2014, 05:33
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jlgdr
Of all the houses on Kermit Lane, 20 have front porches, 20 have front yards, and 40 have back yards. How many houses are on Kermit Lane?
(1) No house on Kermit Lane is without a back yard. This implies that ALL house on Kermit Lane are with a back yard. Since we know that there are 40 houses with a back yard, then there must be 40 houses on the street. Sufficient.
(2) Each house on Kermit Lane that has a front porch does not have a front yard. This implies that houses with a front porch (20) and the houses with a front yard (20) does not overlap. Thus there must be at least 20 + 20 = 40 houses (20 with a front porch and a back yard + 20 with a front yard and a back yard) and at most 20 + 20 + 40 = 80 houses (in case the houses with a back yard does not overlap with other categories). Not sufficient.
Answer: A.
Hope it's clear.
General Discussion
23 Oct 2011, 11:34
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1 can be rephrased as-
Every house has a back yard.
So there are 40 houses in total.
20 = front porches
20 = front yards
40 = back yards
According to 2, if a house has a front porch, then it does not have a front yard. So the first two categories, above, don't overlap.
There can be at least 40 houses (20 with front porches and 20 with front yards - and these could overlap completely with the 40 that have backyards to give 40 houses total)
There could be 80 houses: 20 with only front porches, 20 more with only front yards, and 40 more with only back yards.
Every house has a back yard.
So there are 40 houses in total.
20 = front porches
20 = front yards
40 = back yards
According to 2, if a house has a front porch, then it does not have a front yard. So the first two categories, above, don't overlap.
There can be at least 40 houses (20 with front porches and 20 with front yards - and these could overlap completely with the 40 that have backyards to give 40 houses total)
There could be 80 houses: 20 with only front porches, 20 more with only front yards, and 40 more with only back yards.
