Two tanks A and B are filled with petrol. If 100 liters of petrol were taken out from each tank, tank A would then contain 3 times as much petrol as tank B. What is the total amount of petrol in the two full tanks? 1) Tank B holds 600 liters less petrol than tank A. 2) Tank A holds 2.5 times more petrol than tank B.
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.
Explanation: Let A and B be the initial amounts. The condition is \(A-100 = 3(B-100)\). We need to find \(A+B\). Statement 1: \(B = A - 600\). Substitute into the condition: \(A-100 = 3((A-600)-100) \Rightarrow A-100 = 3A - 2100 \Rightarrow 2A = 2000 \Rightarrow A=1000\). \(B = 1000 - 600 = 400\). \(A+B=1400\). (Sufficient) Statement 2: \(A = 2.5B\). Substitute into the condition: \(2.5B-100 = 3(B-100) \Rightarrow 2.5B-100 = 3B - 300 \Rightarrow 0.5B = 200 \Rightarrow B=400\). \(A = 2.5 \times 400 = 1000\). \(A+B=1400\). (Sufficient). Therefore, EACH statement ALONE is sufficient.
