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M01-08

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M01-08  [#permalink]

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New post 15 Sep 2014, 23:14
1
10
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

66% (00:34) correct 34% (00:36) wrong based on 179 sessions

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Re M01-08  [#permalink]

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New post 15 Sep 2014, 23:14
3
1
Official Solution:

Which expression has the greatest value?

A. \(1^{999}\)
B. \(2^{300}\)
C. \(3^{200}\)
D. \(4^{100}\)
E. \(16^{50}\)

Find a common base or a common power to compare the statements. Use 100 as a common power, because all expressions are more or less divisible by 100:
  1. \(1^{999} = 1^{100}\)

    Taking 1 to any power is still 1. If the base was a different number, then we could approximate the answer by using a power of 1,000.
  2. \(2^{300} = (2^3)^{100} = 8^{100}\)
  3. \(3^{200} = (3^2)^{100} = 9^{100}\)
  4. \(4^{100} = 4^{100}\)
  5. \(16^{50} = (4^2)^{50} = 4^{100}\)

Answer: C
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Re M01-08  [#permalink]

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New post 23 Sep 2016, 17:31
I think this is a high-quality question and I agree with explanation. Fantastic solution. So simple!
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Re: M01-08  [#permalink]

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New post 28 Dec 2016, 14:35
Since this is a PS question. shouldn't the answer choices be either ascending or descending?
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M01-08  [#permalink]

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New post 28 Dec 2016, 15:06
2
CircleOfLife wrote:
Since this is a PS question. shouldn't the answer choices be either ascending or descending?


You mean to make it easier for you to answer the question?
Good try.... :lol:

P.S. On the GMAT if a question asks for the largest/smallest value, the answer choices do NOT follow a pattern.
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Re M01-08  [#permalink]

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New post 04 Apr 2018, 11:49
I think this is a high-quality question and I agree with explanation. A good question with a little trick to follow.
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Re: M01-08  [#permalink]

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New post 03 Sep 2018, 02:10
This is a high quality answer. can anyone please share the link for such questions?
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Re: M01-08  [#permalink]

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New post 26 Sep 2018, 05:20
Why wasn't choice E's 4^2 changed into 16^100?
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Re: M01-08  [#permalink]

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New post 26 Sep 2018, 05:21
Nevermind my question. Took me two seconds :lol:
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Re: M01-08   [#permalink] 26 Sep 2018, 05:21
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