If P : Q = 5 : 2, then (2P - 3Q) : (3P - 5Q) is equal to:
Question and options
If P : Q = 5 : 2, then (2P - 3Q) : (3P - 5Q) is equal to:
- 5 : 6
- 2 : 7
- 4 : 5
- 3 : 4
Answer and explanation
Correct answer: C - 4 : 5
Take P = 5 and Q = 2. Then 2P - 3Q = 10 - 6 = 4 and 3P - 5Q = 15 - 10 = 5, so the ratio is 4 : 5. The ratio 3 : 4 is tempting but does not result from any consistent substitution.
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