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# If n is an integer and 101n² is less than or equal to 8100, what is th

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Math Expert
Joined: 02 Sep 2009
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If n is an integer and 101n² is less than or equal to 8100, what is th [#permalink]

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05 Jan 2015, 06:45
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Tough and Tricky questions: Number Properties.

If n is an integer and 101n^2 is less than or equal to 8100, what is the greatest possible value of n?

A. 7
B. 8
C. 9
D. 10
E. 11

Kudos for a correct solution.
[Reveal] Spoiler: OA

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Re: If n is an integer and 101n² is less than or equal to 8100, what is th [#permalink]

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05 Jan 2015, 17:04
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Bunuel wrote:

Tough and Tricky questions: Number Properties.

If n is an integer and 101n^2 is less than or equal to 8100, what is the greatest possible value of n?

A. 7
B. 8
C. 9
D. 10
E. 11

Kudos for a correct solution.

101 * n^2 <=8100
n^2 <=8100/101 which will be less than 81 since 8100/100 = 81 which is the square of 9

Next closest value of n where n^2<=81 is 8

Ans B
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Re: If n is an integer and 101n² is less than or equal to 8100, what is th [#permalink]

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06 Jan 2015, 00:55
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$$101n^2 < = 8100$$

$$100n^2 + n^2 < = 8100$$

For n = 9, LHS would be greater than RHS

8100+81 > 8100

So, n = 8

6400 + 64 < 8100
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Re: If n is an integer and 101n² is less than or equal to 8100, what is th [#permalink]

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09 Mar 2018, 08:36
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Re: If n is an integer and 101n² is less than or equal to 8100, what is th   [#permalink] 09 Mar 2018, 08:36
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