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Is non-negative integer x an even integer?

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Is non-negative integer x an even integer?  [#permalink]

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New post 12 Jan 2017, 07:35
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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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Is non-negative integer x an even integer?  [#permalink]

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New post 12 Jan 2017, 07:43
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

Self made


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.

Answer is A.
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Re: Is non-negative integer x an even integer?  [#permalink]

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New post 12 Jan 2017, 08:33
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

Self made


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.

Answer is A.


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

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New post 12 Jan 2017, 08:42
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.
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Re: Is non-negative integer x an even integer?  [#permalink]

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New post 12 Jan 2017, 08:49
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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: Is non-negative integer x an even integer?  [#permalink]

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New post 12 Jul 2018, 07:40
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Re: Is non-negative integer x an even integer? &nbs [#permalink] 12 Jul 2018, 07:40
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