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If x < 0 and 0 < y < 1, which of the following has the greatest value?
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30 Aug 2024, 03:14
30 Aug 2024, 03:14
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Question Stats:
63% (01:49) correct
36% (01:31) wrong based on 11 sessions
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If x < 0 and 0 < y < 1, which of the following has the greatest value?
A. \(x^2\)
B. \((xy)^2\)
C. \((\frac{x}{y})^2\)
D. \(\dfrac{x^2}{y^2}\)
E. \(x^2y\)
A. \(x^2\)
B. \((xy)^2\)
C. \((\frac{x}{y})^2\)
D. \(\dfrac{x^2}{y^2}\)
E. \(x^2y\)
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Re: If x < 0 and 0 < y < 1, which of the following has the greatest value?
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30 Aug 2024, 10:16
30 Aug 2024, 10:16
It can be seen that x^2 is a multiplicative term in all options, so we can just ignore it. So, basically it boils down to comparing 1,y^2, y^-2 and y.
Since, 0<y<1, y^-2 > 1 and hence it is the greatest (all others are less than 1). Hence, (x/y)^2 is the greatest. Hence, C is correct.
C and D are the same expression, so D should also be correct. Hence, imo, C and D are correct options.
Since, 0<y<1, y^-2 > 1 and hence it is the greatest (all others are less than 1). Hence, (x/y)^2 is the greatest. Hence, C is correct.
C and D are the same expression, so D should also be correct. Hence, imo, C and D are correct options.
gmatclubot
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
30 Aug 2024, 10:16
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