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K is a set of integers such that if the integer r is in K,

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K is a set of integers such that if the integer r is in K, [#permalink]

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New post 23 Aug 2010, 08:56
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K is a set of integers such that if the integer r is in K, then r + 1 is also in K. Is 100 in K?
(1) 50 is in K.
(2) 150 is in K.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/k-is-a-set-o ... 03005.html
[Reveal] Spoiler: OA

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Re: K is a set of integers such that if the integer r is in K, [#permalink]

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New post 23 Aug 2010, 09:53
1. so we know 50 is in K. by definition the 50+1 = 51 is also in K. since 51 is in K then again by definition 51+1=52 is in K... so basically K is a set of numbers 50 to infinity which includes 100. SUFF

2. by same logic as 1, we know 150 to infinity is in K DEFINITELY. However, we dont know the starting point of the set - it could be 50 which includes 100 BUT it could also be 150 which excludes 100 so INSUFF.

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Re: K is a set of integers such that if the integer r is in K, [#permalink]

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New post 31 Aug 2010, 23:22
Should be A....Same reasoning as shaselai

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Re: K is a set of integers such that if the integer r is in K, [#permalink]

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New post 01 Sep 2010, 08:24
I do not understand, since we dont know the end limit of the set, how can we assume that it ends at infinity.
Should the answer be C? since the limits of the set are defined

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Re: K is a set of integers such that if the integer r is in K, [#permalink]

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New post 01 Sep 2010, 09:15
+1 A
Cannot be B because probably 150 is the first number in the sequence. So, 100 wouldn't be in the set.

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Re: K is a set of integers such that if the integer r is in K, [#permalink]

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New post 14 Aug 2017, 06:33
udaymathapati wrote:
K is a set of integers such that if the integer r is in K, then r + 1 is also in K. Is 100 in K?
(1) 50 is in K.
(2) 150 is in K.



(1) 50 is in K --> integers more than or equal to 50 are in the set K, so 100 is in the K. Sufficient.

(2) 150 is in K --> integers more than or equal to 150 are in the set K, so 100 may or may not be in the K (if the source integer is 100 or less then 100 is in K but if the source integer is more than 100 then 100 is not in K). Not sufficient.

Answer: A.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/k-is-a-set-o ... 03005.html
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Re: K is a set of integers such that if the integer r is in K,   [#permalink] 14 Aug 2017, 06:33
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