Of all the houses on Kermit Lane, 20 have front porches, 20 have front yards, and 40 have back yards. How many houses

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

Of all the houses on Kermit Lane, 20 have front porches, 20 have front yards, and 40 have back yards. How many houses

by BTGmoderatorDC » Fri May 01, 2020 1:07 am

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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.

OA A

Source: Manhattan Prep

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Source: Beat The GMAT — Data Sufficiency | Fri May 01, 2020 1:07 am

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

Re: Of all the houses on Kermit Lane, 20 have front porches, 20 have front yards, and 40 have back yards. How many house

by deloitte247 » Sun May 03, 2020 4:31 am

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20 houses have front porches
20 houses have front yards
40 houses have back yards

Target question => How many houses are on kermit lane?

Statement 1 => No house on kermit lane is without a back yard
This implies that all the houses on kermit lane have back yards
Total houses = number of houses with back yards = 40
Total house = 40. Statement 1 is SUFFICIENT

Statement 2 => Each house on kermit lane that has a front porch does not have a front yard
This implies that all houses with front porch are without a front yard and all houses with front yard are without front porch but information regarding number of houses with or without back yard is not supplied. So the total number of houses cannot be estimated and the target question remains unanswered.
Statement 2 is NOT SUFFICIENT

Since statement 1 alone is SUFFICIENT
Answer = A