Bunuel
On June 1, Mary paid Omar $360 for rent and utilities for the month of June. Mary moved out early, and Omar refunded the money she paid for utilities, but not for rent, for the days in June after she moved out. How many dollars did Omar refund to Mary?
(1) Mary moved out on June 24.
(2) The amount Mary paid for utilities was less than 1/5 the amount Mary paid for rent.
NEW question from GMAT® Official Guide 2019
(DS08420)
We need the amount of utilities money refunded to Mary. For that we need to know two thing : how much did she pay for utilities (out of the total 360) and for how many days she stayed in June.
(1) Mary moved out on June 24.
Tells us for how many days she stayed in June. Doesn't tell us the utilities amount.
(2) The amount Mary paid for utilities was less than 1/5 the amount Mary paid for rent.
Tells us that utilities amount was < (1/5) Rent amount.
Rent + Utilities = 360
Rent + (Something less than Rent/5) = 360
Now, if Rent were 300, utilities would be 60 (exactly 1/5th of rent). So we know that rent > 300 and utilities < 60. But we don't get an exact value for utilities.
Using both statements, we don't have an exact value for amount of utilities. Hence answer (E)
Responding to a pm:
Quote:
can you please tell me why the second statement be inferred as-
The amount Mary paid for utilities was less than 1/5 the amount Mary paid for rent.--- amount for utilities= 4/5*(amount for rent)
This is not how it can be inferred. It should be
Utilities < Rent/5