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x=2/3
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25 Jun 2020, 10:48
25 Jun 2020, 10:48
Expert Reply
00:00
Question Stats:
94% (00:46) correct
5% (01:29) wrong based on 58 sessions
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\(x=\frac{2}{3}\)
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.
Quantity A |
Quantity B |
\(\frac{4}{x}\) \(-\frac{x}{4}\) |
\( x^2 \) |
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.
Re: x=2/3
[#permalink]
25 Jun 2020, 10:49
25 Jun 2020, 10:49
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Re: x=2/3
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25 Jun 2020, 16:22
25 Jun 2020, 16:22
2
An important property to know about fractions is the following: \(x^2 < x < \sqrt{x}\)
Then option B < \(\frac{2}{3}\)
Option A: \(\frac{4}{(2/3) }\) - \(\frac{ 2}{3*4}\)
Another nice property to know about fractions -> dividing by a fraction is the same as multiplying by the reciprocal of that fraction.
Then, \(\frac{4}{(2/3)}\) is the same as \(\frac{4 * 3}{2}\) this is equal to 12/2 = 6
Option A is then 6 minus a number less than one
Option B is a very small number
A > B
Then option B < \(\frac{2}{3}\)
Option A: \(\frac{4}{(2/3) }\) - \(\frac{ 2}{3*4}\)
Another nice property to know about fractions -> dividing by a fraction is the same as multiplying by the reciprocal of that fraction.
Then, \(\frac{4}{(2/3)}\) is the same as \(\frac{4 * 3}{2}\) this is equal to 12/2 = 6
Option A is then 6 minus a number less than one
Option B is a very small number
A > B
