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# The number 1000 lies between two consecutive perfect squares. Which on

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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The number 1000 lies between two consecutive perfect squares. Which on  [#permalink]

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19 Mar 2019, 00:34
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[GMAT math practice question]

The number 1000 lies between two consecutive perfect squares. Which one of these square integers is closest to 1000?

$$A. 29^2$$
$$B. 30^2$$
$$C. 31^2$$
$$D. 32^2$$
$$E. 33^2$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Director Joined: 18 Jul 2018 Posts: 827 Location: India Concentration: Finance, Marketing WE: Engineering (Energy and Utilities) The number 1000 lies between two consecutive perfect squares. Which on [#permalink] ### Show Tags 19 Mar 2019, 10:43 $$31^2 = 961$$ $$32^2 = (2^5)^2 = 2^{10} = 1024$$ 1024-1000 = 24 1000-961 = 29 $$32^2$$ is closer to 1000 D is the answer. _________________ Press +1 Kudo If my post helps! CEO Joined: 18 Aug 2017 Posts: 3008 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: The number 1000 lies between two consecutive perfect squares. Which on [#permalink] ### Show Tags 19 Mar 2019, 23:57 MathRevolution wrote: [GMAT math practice question] The number 1000 lies between two consecutive perfect squares. Which one of these square integers is closest to 1000? $$A. 29^2$$ $$B. 30^2$$ $$C. 31^2$$ $$D. 32^2$$ $$E. 33^2$$ 31^2 = 941 = 1000-941 ; 59 32^2 = 1024= 24 closet is 32^2 IMO D _________________ If you liked my solution then please give Kudos. Kudos encourage active discussions. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7230 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The number 1000 lies between two consecutive perfect squares. Which on [#permalink] ### Show Tags 21 Mar 2019, 02:32 => $$31^2 = 961$$ $$32^2 = 1024$$ $$1024$$ is the perfect square closest to $$1000$$. Therefore, D is the answer. Answer: D _________________ 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$149 for 3 month Online Course"
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Re: The number 1000 lies between two consecutive perfect squares. Which on  [#permalink]

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21 Mar 2019, 17:55
MathRevolution wrote:
[GMAT math practice question]

The number 1000 lies between two consecutive perfect squares. Which one of these square integers is closest to 1000?

$$A. 29^2$$
$$B. 30^2$$
$$C. 31^2$$
$$D. 32^2$$
$$E. 33^2$$

We see that 32^2 = 1,024 and 31^2 = 961, so 32^2 is closest to 1000.

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Re: The number 1000 lies between two consecutive perfect squares. Which on   [#permalink] 21 Mar 2019, 17:55
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