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Two solutions, A and B, are produced by mixing milk and water in different quantities. The percentages of milk present in solution A and solution B are 60% and 70% respectively. What is the volume of solution A?
I. The sum of the volume of milk present in solution A and solution B is 50 litres.
II. The sum of the volume of solution A and solution B is 80 litres.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two solutions, A and B, are produced by mixing milk and water in diffe...
Understanding the Problem
To find the volume of solution A, we need to analyze the two statements provided.
Given Data:
- Solution A has 60% milk.
- Solution B has 70% milk.
Let:
- Volume of solution A = x litres
- Volume of solution B = y litres
Statement I Analysis:
- The sum of the volume of milk in solutions A and B is 50 litres.
For solution A:
- Milk in A = 60% of x = 0.6x
For solution B:
- Milk in B = 70% of y = 0.7y
From the statement:
- \(0.6x + 0.7y = 50\)
This equation alone cannot determine x or y since we have two variables.
Statement II Analysis:
- The sum of the volumes of solutions A and B is 80 litres.
Thus:
- \(x + y = 80\)
This equation alone also cannot determine x or y uniquely since we have two variables.
Combining Both Statements:
From Statement I:
- \(0.6x + 0.7y = 50\)
From Statement II:
- \(x + y = 80\)
We can solve these equations simultaneously:
1. From \(x + y = 80\), express y:
- \(y = 80 - x\)
2. Substitute y in the first equation:
- \(0.6x + 0.7(80 - x) = 50\)
3. Solve for x:
- \(0.6x + 56 - 0.7x = 50\)
- \(-0.1x + 56 = 50\)
- \(-0.1x = -6\)
- \(x = 60\)
Thus, both statements combined provide enough information to determine the volume of solution A.
Conclusion:
- Each statement alone is insufficient, but together they provide the required information, confirming that option 'C' is correct.
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Two solutions, A and B, are produced by mixing milk and water in different quantities. The percentages of milk present in solution A and solution B are 60% and 70% respectively. What is the volume of solution A?I. The sum of the volume of milk present in solution A and solution B is 50 litres.II. The sum of the volume of solution A and solution B is 80 litres.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
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Two solutions, A and B, are produced by mixing milk and water in different quantities. The percentages of milk present in solution A and solution B are 60% and 70% respectively. What is the volume of solution A?I. The sum of the volume of milk present in solution A and solution B is 50 litres.II. The sum of the volume of solution A and solution B is 80 litres.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Two solutions, A and B, are produced by mixing milk and water in different quantities. The percentages of milk present in solution A and solution B are 60% and 70% respectively. What is the volume of solution A?I. The sum of the volume of milk present in solution A and solution B is 50 litres.II. The sum of the volume of solution A and solution B is 80 litres.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two solutions, A and B, are produced by mixing milk and water in different quantities. The percentages of milk present in solution A and solution B are 60% and 70% respectively. What is the volume of solution A?I. The sum of the volume of milk present in solution A and solution B is 50 litres.II. The sum of the volume of solution A and solution B is 80 litres.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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