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Which of the following is the closest to 11^59^5 – 2(10^5)?

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Which of the following is the closest to 11^59^5 – 2(10^5)?  [#permalink]

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05 Dec 2017, 01:02
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[GMAT math practice question]

Which of the following is the closest to $$11^59^5 – 2(10^5)$$?

A. $$10^2$$
B. $$10^7$$
C. $$10^8$$
D. $$10^9$$
E. $$10^{10}$$

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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" Math Expert Joined: 02 Aug 2009 Posts: 8601 Which of the following is the closest to 11^59^5 – 2(10^5)? [#permalink] Show Tags 05 Dec 2017, 04:52 1 MathRevolution wrote: [GMAT math practice question] Which of the following is the closest to $$11^59^5 – 2(10^5)$$? A. $$10^2$$ B. $$10^7$$ C. $$10^8$$ D. $$10^9$$ E. $$10^{10}$$ $$11^59^5 – 2(10^5) = 99^5-2*10^5$$ Now $$2*10^5$$ is very small quantity in front of $$99^5$$,( which is nearly equal to 100^5 = 10^{10}).... $$\frac{2*10^5}{10^{10}} = \frac{2}{10^5}=\frac{1}{50000}$$, Hence $$2*10^5$$ is $$\frac{1}{50000}$$ of $$100^5$$, so can be neglected .. hence answer is $$10^{10}$$ E _________________ Retired Moderator Joined: 25 Feb 2013 Posts: 1124 Location: India GPA: 3.82 Which of the following is the closest to 11^59^5 – 2(10^5)? [#permalink] Show Tags 05 Dec 2017, 11:14 2 2 MathRevolution wrote: [GMAT math practice question] Which of the following is the closest to $$11^59^5 – 2(10^5)$$? A. $$10^2$$ B. $$10^7$$ C. $$10^8$$ D. $$10^9$$ E. $$10^{10}$$ As we have to find approximate answer so we can slightly reduce or increase the number to arrive at the closest value. $$11^59^5 – 2(10^5)$$, here I'll reduce $$11$$ by $$1$$ and increase $$9$$ by $$1$$, so in totality effect should balance out $$11^59^5 – 2(10^5)$$ $$=10^5*10^5 – 2*10^5$$ $$=>10^5(10^5 – 2)$$. as $$10^5$$ is far greater than $$2$$ so $$10^5-2=10^5$$ (approximate value) $$=>10^5*10^5=10^{10}$$ Option E Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8996 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following is the closest to 11^59^5 – 2(10^5)? [#permalink] Show Tags 07 Dec 2017, 00:02 => $$11^59^5 – 2(10^5)$$ $$≒ 10^510^5 – 2(10^5)$$ $$= 10^{10} – 2(10^5)$$ $$≒ 10^{10}$$ Therefore, the answer is E. Answer: E _________________ 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 the closest to 11^59^5 – 2(10^5)?  [#permalink]

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06 Mar 2019, 18:47
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Re: Which of the following is the closest to 11^59^5 – 2(10^5)?   [#permalink] 06 Mar 2019, 18:47