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# Is non-negative integer x an even integer?

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Math Expert
Joined: 02 Aug 2009
Posts: 7763
Is non-negative integer x an even integer?  [#permalink]

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12 Jan 2017, 08:35
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65% (hard)

Question Stats:

45% (01:41) correct 55% (01:15) wrong based on 55 sessions

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Is non-negative integer x an even integer?
1)x<k, where k is the number of digits in x.
2)k=1

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Intern
Joined: 02 Oct 2016
Posts: 35
Schools: HEC Dec '17
Is non-negative integer x an even integer?  [#permalink]

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12 Jan 2017, 08:43
1
chetan2u wrote:
Is non-negative integer x an even integer?
1)x<k, where k is the number of digits in x.
2)k=1

Given: x>= 0 and x is an integer.
From 1) If k is the number of digits in x and x < k, k must be equal to 1
(Eg: If k = 2, then x is a 2 digit number => no 2 digit number can be less than 2)

=> k = 1 and x = 0
=> 0 is even. Answer is YES.
Sufficient.

From 2) k = 1
We don't know the relationship between x and k. Hence, not sufficient.

Math Expert
Joined: 02 Sep 2009
Posts: 56307
Re: Is non-negative integer x an even integer?  [#permalink]

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12 Jan 2017, 09:33
Vaidya wrote:
chetan2u wrote:
Is non-negative integer x an even integer?
1)x<k, where k is the number of digits in x.
2)k=1

Given: x>= 0 and x is an integer.
From 1) If k is the number of digits in x and x < k, k must be equal to 1
(Eg: If k = 2, then x is a 2 digit number => no 2 digit number can be less than 2)

=> k = 1 and x = 0
=> 0 is even. Answer is YES.
Sufficient.

From 2) k = 1
We don't know the relationship between x and k. Hence, not sufficient.

Thank you for the reply Vaidya. Just one note, it's not necessary to put your solution in spoiler.
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Joined: 02 Oct 2016
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Schools: HEC Dec '17
Re: Is non-negative integer x an even integer?  [#permalink]

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12 Jan 2017, 09:42
Bunuel wrote:
Thank you for the reply Vaidya. Just one note, it's not necessary to put your solution in spoiler.

Hi Bunuel, noted. I wasn't sure whether there's a rule about using spoilers and also assumed that people might be interested in solving the question themselves.
Math Expert
Joined: 02 Sep 2009
Posts: 56307
Re: Is non-negative integer x an even integer?  [#permalink]

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12 Jan 2017, 09:49
Vaidya wrote:
Bunuel wrote:
Thank you for the reply Vaidya. Just one note, it's not necessary to put your solution in spoiler.

Hi Bunuel, noted. I wasn't sure whether there's a rule about using spoilers and also assumed that people might be interested in solving the question themselves.

Those who want to solve a question themselves can look on the first post only and usually don't scroll down to the replies.
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Re: Is non-negative integer x an even integer?  [#permalink]

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12 Jul 2018, 08:40
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Re: Is non-negative integer x an even integer?   [#permalink] 12 Jul 2018, 08:40
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