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If 0 < t < 1/2, which of the following has the greatest value?
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31 Jan 2022, 06:13
31 Jan 2022, 06:13
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Question Stats:
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If \(0<t<\)\(\frac{1}{2}\), which of the following has the greatest value?
A) \(\frac{t}{2}\)
B) \(t^{-2}\)
C) \(t^3\)
D) \(\frac{2}{t}\)
E) \(2t\)
A) \(\frac{t}{2}\)
B) \(t^{-2}\)
C) \(t^3\)
D) \(\frac{2}{t}\)
E) \(2t\)
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Re: If 0 < t < 1/2, which of the following has the greatest value?
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31 Jan 2022, 06:27
31 Jan 2022, 06:27
1
Carcass wrote:
If \(0<t<\)\(\frac{1}{2}\), which of the following has the greatest value?
A) \(\frac{t}{2}\)
B) \(t^{-2}\)
C) \(t^3\)
D) \(\frac{2}{t}\)
E) \(2t\)
A) \(\frac{t}{2}\)
B) \(t^{-2}\)
C) \(t^3\)
D) \(\frac{2}{t}\)
E) \(2t\)
STRATEGY: As with all GRE Multiple Choice questions, we should immediately ask ourselves, Can I use the answer choices to my advantage?
In this case, we can easily plug an allowable t-value into the answer choices.
Now we should give ourselves 15-20 seconds to identify a faster approach.
In this case, I guess we COULD also try to use some property of positive fractions that are less than 1/2, but that seems much more problematic than simply testing a possible t-value.
If \(0<t<\)\(\frac{1}{2}\), then it could be the case that \(t = 0.1\).
So, let's plug this t-value into each answer choice and evaluate...
A) \(\frac{0.1}{2}=0.05\)
B) \(0.1^{-2}=(\frac{1}{10})^{-2}=(\frac{10}{1})^{2} = 10^2 = 100\)
C) \(0.1^3=0.001\)
D) \(\frac{2}{0.1}=\frac{20}{1}=20\)
E) \(2(0.1) = 0.2\)
Answer: B
gmatclubot
Re: If 0 < t < 1/2, which of the following has the greatest value? [#permalink]
31 Jan 2022, 06:27
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