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

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

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New post 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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The number 1000 lies between two consecutive perfect squares. Which on  [#permalink]

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New post 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.
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Re: The number 1000 lies between two consecutive perfect squares. Which on  [#permalink]

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New post 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
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Re: The number 1000 lies between two consecutive perfect squares. Which on  [#permalink]

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New post 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
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Re: The number 1000 lies between two consecutive perfect squares. Which on  [#permalink]

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New post 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.

Answer: D
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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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