When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank’s capacity. What was the tank’s capacity?
(1) Before the 200 gallons were removed, the volume of oil in the tank was 1/2 of the tank’s capacity.
(2) After the 200 gallons were removed, the volume of oil left in the tank was 1,600 gallons less than the tank’s capacity.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
capacity of tank
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 104
- Joined: Wed Feb 13, 2008 1:44 pm
- Thanked: 8 times
According to me Ans is (D).
Here is the explaination:-
Notations :
Tank's Capacity = T
Total Volume of Oil = O
Given in the question:
When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank’s capacity
O-200 = (3/7)* T ---->(Eq 1)
Stmt1: Before the 200 gallons were removed, the volume of oil in the tank was 1/2 of the tank’s capacity
O = T/2
Substituting this in Eq 1 you get
T/2 - 200 = (3/7)*T
Solving, T=2800 (You dont need to solve this anyway)
So Stmt 1 is sufficient.
Eliminate options B,C,E.
Stmt2:After the 200 gallons were removed, the volume of oil left in the tank was 1,600 gallons less than the tank’s capacity
O-200 = T - 1600
Subsstitute in Eq 1
3/7*T=T-1600
Solving you get T = 2800.
So Stmt2 alone is sufficient too.
Hence, Answer is (D)
Here is the explaination:-
Notations :
Tank's Capacity = T
Total Volume of Oil = O
Given in the question:
When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank’s capacity
O-200 = (3/7)* T ---->(Eq 1)
Stmt1: Before the 200 gallons were removed, the volume of oil in the tank was 1/2 of the tank’s capacity
O = T/2
Substituting this in Eq 1 you get
T/2 - 200 = (3/7)*T
Solving, T=2800 (You dont need to solve this anyway)
So Stmt 1 is sufficient.
Eliminate options B,C,E.
Stmt2:After the 200 gallons were removed, the volume of oil left in the tank was 1,600 gallons less than the tank’s capacity
O-200 = T - 1600
Subsstitute in Eq 1
3/7*T=T-1600
Solving you get T = 2800.
So Stmt2 alone is sufficient too.
Hence, Answer is (D)