Question: If 3x=2y=5, then 24xy^2=?
- 250
- 500
- 750
- 1000
- 1250
“If 3x=2y=5, then 24xy^2=?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide 2022”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.
Solution and Explanation:
Approach Solution 1:
There is only one way to solve this problem.
Explanation:
3x=5, therefore x=\(\frac{5}{3}\)
2y=5, therefore y=\(\frac{5}{2}\)
24x\(y^2\)=24*\(\frac{5}{3}\)*\((\frac{5}{2})^2\)
24x\(y^2\)=24*\(\frac{5}{3}\)*\(\frac{25}{4}\)
24x\(y^2\)=24*\(\frac{125}{12}\)
24x\(y^2\)=2*125
24x\(y^2\)=250
Correct Answer: A
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