A building has 96 one-room and two-room apartments to rent, some with

Question

A building has 96 one-room and two-room apartments to rent, some with store and others without. If one of these apartments is to be selected at random, is the probability greater than 1/2 that the apartment has two rooms and a store?

(1) Of the apartments, 80 have two rooms.
(2) Of the apartments, 60 have a store.

(1) Of the apartments, 80 have two rooms. 
(2) Of the apartments, 60 have a store.

nick1816 · Answer

Whether number of apartments that have two rooms and a store is greater than 48

Statement 1- We have no idea about the number of apartments with stores

Insufficient

Statement 2- We have no idea about the number of apartments with 2- rooms

Insufficient

Combining both statements

Minimum possible number of apartments that have two rooms and a store = 96-(96-80)-(96-60) = 44 (No)
Maximum possible number of apartments that have two rooms and a store = min(80,60)= 60 (yes)

Insufficient

Himanshu930 · Answer

nick1816  - I reached to the same conclusion but the answer given was C. I want to see the answer from folks here.

ASIF23 · Answer

E should be the correct answer here.

Because we do not know anything about Stores from STATEMENT 1

We can not find out for sure how many 2Rooms with stores are there. This number can vary between 44 to 60. So, STATEMENT 2 is Insufficient too.

stne · Answer

Bunuel

E should be the correct answer

Lets take 1+2

For probability to be more than 1/2 we need 48 two rooms with a store

We have 80 two rooms and 16 one rooms 
We also have 60 stores

So we can have 60 two rooms with store and 20 remaining two rooms and 16 one rooms without store 
in this case p>1/2
But we also can have 44 two room's with store 16 one rooms with store and remaining 36 two rooms without store..
In this case p<1/2

Hence INSUFF.

Hope it's clear.

Bunuel · Answer

_____________________
Edited the OA. Thank you!

bumpbot · Answer

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A building has 96 one-room and two-room apartments to rent, some with

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GMAT Data Sufficiency (DS) Questions

A building has 96 one-room and two-room apartments to rent, some with

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