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# If k is an integer such that 224 < k < 256, what is the value of k/16?

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Math Expert
Joined: 02 Sep 2009
Posts: 45302
If k is an integer such that 224 < k < 256, what is the value of k/16? [#permalink]

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30 Apr 2018, 08:13
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Difficulty:

55% (hard)

Question Stats:

49% (01:49) correct 51% (01:22) wrong based on 45 sessions

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If k is an integer such that 224 < k < 256, what is the value of k/16?

(1) $$\sqrt{k} < 16$$

(2) k is divisible by 16.

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Concentration: Marketing, Technology
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If k is an integer such that 224 < k < 256, what is the value of k/16? [#permalink]

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30 Apr 2018, 16:07
Bunuel wrote:
If k is an integer such that 224 < k < 256, what is the value of k/16?

(1) $$\sqrt{k} < 16$$
(2) k is divisible by 16.

1. $$\sqrt{k} < 16$$, so k<256. It can be any number. - Not Sufficient
2. k is divisible by 16.[/quote], 224 is divisible by 16, the next is 240, and the next is 256, but 224 and 256 are not in the range, so only 240 can be that number - Sufficient

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Re: If k is an integer such that 224 < k < 256, what is the value of k/16? [#permalink]

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30 Apr 2018, 21:55
Hero8888 wrote:
Bunuel wrote:
If k is an integer such that 224 < k < 256, what is the value of k/16?

(1) $$\sqrt{k} < 16$$
(2) k is divisible by 16.

1. $$\sqrt{k} < 16$$, so k<256. It can be any number. - Not Sufficient
2. k is divisible by 16.
, 224 is divisible by 16, the next is 240, and the next is 256, but 224 and 256 are not in the range, so only 240 can be that number - Sufficient

Hello

Your explanation is fine, but when second statement is sufficient to answer the question, and not first, then we mark the answer as B.
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Joined: 02 Oct 2017
Posts: 480
Re: If k is an integer such that 224 < k < 256, what is the value of k/16? [#permalink]

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17 May 2018, 07:30
I) √k <16

√225<16 but 225 is not divisible by 16
√240 <16 but 240 is divisible by 16

Insufficient

II) within 224<k<256

Only 240 is divisible by 16 so
K/16=15
Unique value
Sufficient

Give kudos if it helps

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Re: If k is an integer such that 224 < k < 256, what is the value of k/16?   [#permalink] 17 May 2018, 07:30
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