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If 0 < t < 1/2, which of the following has the greatest value?

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Carcass
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If 0 < t < 1/2, which of the following has the greatest value? [#permalink] New post   31 Jan 2022, 06:13
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If 0<t<12, which of the following has the greatest value?


A) t2

B) t−2

C) t3

D) 2t

E) 2t
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B
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Re: If 0 < t < 1/2, which of the following has the greatest value? [#permalink] New post   31 Jan 2022, 06:27
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Carcass wrote:
If 0<t<12, which of the following has the greatest value?


A) t2

B) t−2

C) t3

D) 2t

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<12, then it could be the case that t=0.1.
So, let's plug this t-value into each answer choice and evaluate...

A) 0.12=0.05

B) 0.1−2=(110)−2=(101)2=102=100

C) 0.13=0.001

D) 20.1=201=20

E) 2(0.1)=0.2

Answer: B
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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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