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The ratio of y to c is equal to the ratio of x to b. x, y, b
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27 Mar 2020, 03:13
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The ratio of \(y\) to \(c\) is equal to the ratio of \(x\) to \(b\).
x, y, b, and c are positive integers.
\(0 < y < 4\) and \(x > 4\).
Quantity A
Quantity B
\(3c\)
\(2b\)
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Since we are told that \(c\) is POSITIVE, we can safely divide both quantities by \(c\) to get: Quantity A: \(3\) Quantity B: \(\frac{2x}{y}\)
Let's also divide both quantities by \(2\) to get: Quantity A: \(\frac{3}{2}\)
Quantity B: \(\frac{x}{y}\)
Finally, let's apply the given fact that \(0 < y < 4\) and \(x > 4\). We can MINIMIZE the value of Quantity B by minimizing the numerator (x) and maximizing by the denominator (y) Since x and y are integers, the minimum value of x is 5, and the maximum value of y is 3 So the MINIMIZE value of Quantity B is 5/3, which is greater than Quantity A (3/2)
If the MINIMUM value of Quantity B is greater than Quantity A, we can conclude that Quantity B will always be greater than Quantity A
Re: The ratio of y to c is equal to the ratio of x to b. x, y, b
[#permalink]
27 Mar 2020, 08:38
2
Carcass wrote:
The ratio of \(y\) to \(c\) is equal to the ratio of \(x\) to \(b\).
x, y, b, and c are positive integers.
\(0 < y < 4\) and \(x > 4\).
Quantity A
Quantity B
\(3c\)
\(2b\)
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
given that 0 < y < 4 ; x > 4 y : c = x : b 1 : 5 = 5 : 25 2 : 4 = 6 : 12 3 : 9 = 9 : 27 from above , 2b > 3c hence ans is B
Re: The ratio of y to c is equal to the ratio of x to b. x, y, b
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16 Aug 2024, 04:21
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Re: The ratio of y to c is equal to the ratio of x to b. x, y, b [#permalink]