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Which of the following expressions has the largest value?

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Which of the following expressions has the largest value? [#permalink]

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Which of the following expressions has the largest value?

A. \((3^4)^{13}\)

B. \(((3^{30})^{12})^{\frac{1}{10}}\)

C. \(3^{30}+3^{30}+3^{30}\)

D. \(4*3^{51}\)

E. \((3^{100})^{\frac{1}{2}}\)


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[Reveal] Spoiler: OA

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Re: Which of the following expressions has the largest value? [#permalink]

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New post 23 Jun 2015, 22:41
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D

a: 3^52
b:3^36
c:3^31
d:4*3^51
e:3^50

Between a and d - A: 3*3^51 D: 4*3^51, hence D>A.
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Re: Which of the following expressions has the largest value? [#permalink]

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New post 24 Jun 2015, 01:40
Simplifying all the options we get the following

A) 3^52
B) 3^36
C) 3^31
D) 3^52 + 3^51
E) 3^50

Answer: D :|
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Re: Which of the following expressions has the largest value? [#permalink]

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New post 24 Jun 2015, 09:21
Arranging Option we get
A = (3^51)*3
B=3^ 30*12/10=3^12*3=3^36
C= 3^31
D = (3^51)*4
E = 3^50
Option B & C are too small to be compared, A>E now final comparison between A and D. and D >A
Hence answer is D
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Re: Which of the following expressions has the largest value? [#permalink]

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New post 25 Jun 2015, 09:21
Bunuel wrote:
Which of the following expressions has the largest value?

A. \((3^4)^{13}\)

B. \(((3^{30})^{12})^{\frac{1}{10}}\)

C. \(3^{30}+3^{30}+3^{30}\)

D. \(4*3^{51}\)

E. \((3^{100})^{\frac{1}{2}}\)


Kudos for a correct solution.


Let us reduce the options to the powers of 3
A=3^52
B=3^36
C=3^31
D=4*3^51
E=3^20

Between A and D, A=(3^51)*3 and D=(3^51)*4
Answer D
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Re: Which of the following expressions has the largest value? [#permalink]

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New post 26 Jun 2015, 06:28
Bunuel wrote:
Which of the following expressions has the largest value?

A. \((3^4)^{13}\)

B. \(((3^{30})^{12})^{\frac{1}{10}}\)

C. \(3^{30}+3^{30}+3^{30}\)

D. \(4*3^{51}\)

E. \((3^{100})^{\frac{1}{2}}\)


Kudos for a correct solution.


A -> 3^52
B -> 3^36
c -> 3^91
D -> (3+1) 3^51 = 3^52 + 3^51
E -> 3^50

Between 3^91 and 3^52 + 3^51 i think 3^52 + 3^51 is bigger. Hence Option D
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Re: Which of the following expressions has the largest value? [#permalink]

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New post 26 Jun 2015, 07:13
I will go with D. Needs bit of rearrangement.
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Re: Which of the following expressions has the largest value? [#permalink]

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New post 24 Aug 2017, 23:02
i know this seems like a dumb question but how do you get 3^30 +3^30+3^30 = 3^31?
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Re: Which of the following expressions has the largest value? [#permalink]

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New post 24 Aug 2017, 23:04
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Re: Which of the following expressions has the largest value? [#permalink]

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New post 24 Aug 2017, 23:10
Bunuel
thank you so much. I feel so foolish...it was so easy
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Re: Which of the following expressions has the largest value? [#permalink]

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New post 28 Aug 2017, 07:29
Each option can be simplified as power of 3

A) 3^52
B) 3^36
C) 3^31
D) 3^52 + 3^51
E) 3^50
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Re: Which of the following expressions has the largest value?   [#permalink] 28 Aug 2017, 07:29
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