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14 Mar 2020, 18:56
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GMATBusters’ Quant Quiz Question -1
There are many houses in city X. Out of all the houses, 20 have uncovered parking space, 20 have covered parking space, and 40 have central garden. How many houses are in city X?
1) No house in city X is without a central garden.
2) Each house in city X that has a covered parking space does not have uncovered parking space.
14 Mar 2020, 18:57
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Official Solution :
1) No house in city X is without a central garden.
it means each house is having a central garden.There is not even a single house which doesn't have central garden.
From question stem, we know that the number of houses having central garden is 40.
Hence, number of houses in the city is 40.
SUFFICIENT.
2) Each house in city X that has a covered parking space does not have uncovered parking space.
It means no house is having both covered parking space and uncovered parking space, but there might be some houses which is having no parking space.
Hence, we cannot find the number of houses in the city.
NOT SUFFICIENT.
Answer = A
14 Mar 2020, 19:14
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There are many houses in city X. Out of all the houses, 20 have uncovered parking space, 20 have covered parking space, and 40 have central garden. How many houses are in city X?
1) No house in city X is without a central garden.
2) Each house in city X that has a covered parking space does not have uncovered parking space.
Ven diagram approach:
Subset 1: houses having only uncovered parking space = 20
Subset 2: houses having only covered parking space = 20
Subset 3: houses having only central garden = 40
1) No house in city X is without a central garden means all subset 3 is part of subset 1 and subset 2. However, we don't know the no. of houses that do not have uncover and covered parking space. So, total can't be determined. Insufficient.
2) Each house in city X that has a covered parking space does not have uncovered parking space.
No more details about common parts of subset 1, 2 and 3. So insufficient.
1) +2) No information about no. of houses that do not have uncover and covered parking space. So, total can't be determined. Insufficient.
Imo. Ans. E
1) No house in city X is without a central garden.
2) Each house in city X that has a covered parking space does not have uncovered parking space.
Ven diagram approach:
Subset 1: houses having only uncovered parking space = 20
Subset 2: houses having only covered parking space = 20
Subset 3: houses having only central garden = 40
1) No house in city X is without a central garden means all subset 3 is part of subset 1 and subset 2. However, we don't know the no. of houses that do not have uncover and covered parking space. So, total can't be determined. Insufficient.
2) Each house in city X that has a covered parking space does not have uncovered parking space.
No more details about common parts of subset 1, 2 and 3. So insufficient.
1) +2) No information about no. of houses that do not have uncover and covered parking space. So, total can't be determined. Insufficient.
Imo. Ans. E
