Read the Question given below and choose the option that is sufficient to answer the Question.
What is the monthly rent for a certain apartment ?
(1) The monthly rent per person for 4 people to share the rent for the apartment is $375.
(2) The monthly rent per person for 4 people to share the rent of the apartment is $125 less than the monthly rent per person for 3 people to share the rent.
What is the monthly rent for a certain apartment ?
(1) The monthly rent per person for 4 people to share the rent for the apartment is $375.
(2) The monthly rent per person for 4 people to share the rent of the apartment is $125 less than the monthly rent per person for 3 people to share the rent.
- Statement 1 alone is sufficient, but statement 2 alone is not
- Statement 2 alone is sufficient, but statement 1 alone is not
- Both together are sufficient, but neither alone
- Each statement alone is sufficient
- Both 1 and 2 together are not sufficient
Show answerHide answer
Answer: D
Approach: Test each statement separately for a unique rent R.
Solution:
Statement 1: R/4 = 375 → R = $1500 → sufficient
Statement 2: R/3 − R/4 = 125 → R/12 = 125 → R = $1500 → sufficient
Each statement alone is sufficient
Why the other options are wrong:
A, B: ignore that the other statement also works alone.
C: neither statement needs the other.
E: both clearly give a value.
Cetking shortcut: Statement 2 is one equation in one unknown — sufficient without solving.
Answer: D