Directions: Each question is followed by two statements, i and ii , giving…
2023
Directions: Each question is followed by two statements, i and ii , giving certain data. Find which statement is sufficient to answer.
Tank A and B contain only water. Tank B is half filled. If the water in tank A is then poured into tank B, what fraction of capacity of tank B is then filled?
(i) Before the water from A was poured, A was one-third filled.
(ii) A and B have same capacity.
- A.
The question can be answered using one of the statements alone but cannot be answered using the other statement alone.
- B.
The question can be answered by using either statement alone.
- C.
The question can be answered by using both the statements together but cannot be answered by using either statements alone.
- D.
The question cannot be answered even by using both the statements together.
Attempted by 162 students.
Show answer & explanation
Correct answer: C
Explanation: Analyze each statement and then combine them.
Statement (i) alone: A is one-third filled, so A contains one-third of A's capacity. Without information about how A's capacity compares to B, this does not tell us what fraction of B that volume represents.
Statement (ii) alone: A and B have the same capacity, but this gives no information about how full A or B currently are, so we cannot find the final fraction after pouring.
Both statements together: let the common capacity be C. From statement (i), A contains (1/3)C. From the problem, B is initially half filled, so B contains (1/2)C.
After pouring A into B, B contains (1/2)C + (1/3)C = (5/6)C, so B is 5/6 full.
Final answer: Both statements together are sufficient; the fraction of B filled after pouring is 5/6.