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# Which of the following is closest to

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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Which of the following is closest to  [#permalink]

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20 Dec 2017, 02:08
00:00

Difficulty:

55% (hard)

Question Stats:

63% (01:42) correct 38% (01:42) wrong based on 110 sessions

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[GMAT math practice question]
Which of the following is closest to $$\frac{(1+10^{26})}{(5^4+10^{10})}$$?

A. 10^{15}
B. 10^{16}
C. 10^{17}
D. 10^{18}
E. 10^{19}

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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior SC Moderator Joined: 22 May 2016 Posts: 3554 Which of the following is closest to [#permalink] ### Show Tags 20 Dec 2017, 08:56 MathRevolution wrote: [GMAT math practice question] Which of the following is closest to $$\frac{(1+10^{26})}{(5^4+10^{10})}$$? A. 10^{15} B. 10^{16} C. 10^{17} D. 10^{18} E. 10^{19} Ignore $$1$$ and $$5^4$$. They are much too small to matter compared to $$10^{26}$$ and $$10^{10}$$ Take an example of much "closer" numbers, where the "extra" amount matters more: $$\frac{10^6}{10^4 + 50}= \frac{10^6}{10,050}\approx{99.5}$$ $$\frac{10^6}{10^4}= 100 = 10^2$$ $$99.5$$ is much closer to $$10^2$$ than to $$10^1$$ Hence consider only the powers of 10: $$10^{(26-10)} = 10^{16}$$ Answer B _________________ SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here. Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8017 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following is closest to [#permalink] ### Show Tags 22 Dec 2017, 06:47 => $$\frac{(1+10^{26})}{(5^4+10^{10})}$$ $$≒ \frac{10^{26}}{10^{10}} = 10^{16}$$ Therefore, the answer is B. Answer: B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: Which of the following is closest to  [#permalink]

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22 Dec 2017, 07:12
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Re: Which of the following is closest to  [#permalink]

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01 Feb 2018, 10:16
I understand ignoring 1 in the numerator is understood but isnt 5^4 = 625 isnt too big at numerator level

eg: 10^4 = 10000/625 = 16 ..that reduces almost 10^4 from the answers others have given which is 10^16, thus I thought A is right answer.

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Re: Which of the following is closest to  [#permalink]

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01 Feb 2018, 12:05
MathRevolution wrote:
=>

$$\frac{(1+10^{26})}{(5^4+10^{10})}$$
$$≒ \frac{10^{26}}{10^{10}} = 10^{16}$$

how can I bring $$1^1$$ and $$5^4$$ to the same base ?
Re: Which of the following is closest to   [#permalink] 01 Feb 2018, 12:05
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