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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 31 Oct 2008, 11:45
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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.

Kudos [?]: 10 [0], given: 0

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Re: DS - is 100 in K? [#permalink]

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New post 31 Oct 2008, 11:51
a

if 150 is there we cant say whether it is the first digit of the series

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Re: DS - is 100 in K? [#permalink]

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New post 31 Oct 2008, 15:18
a

if 50 is in k, then so is 51
if 51 is in k, then so is 52
etc. to 100
so a is sufficient

however, working backwards doesn't work - i.e. if 150 is in k, then 151, 152, etc. is in k, but 149 may or may not be in k
so b is not sufficient

therefore, the correct answer choice is a

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Re: DS - is 100 in K? [#permalink]

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New post 31 Oct 2008, 15:20
rjacobs wrote:
a

if 50 is in k, then so is 51
if 51 is in k, then so is 52
etc. to 100
so a is sufficient

however, working backwards doesn't work - i.e. if 150 is in k, then 151, 152, etc. is in k, but 149 may or may not be in k
so b is not sufficient

therefore, the correct answer choice is a


Thank you so much. It is crystal clear to me now.

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Re: DS - is 100 in K? [#permalink]

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New post 01 Nov 2008, 11:33
nganle08 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?

rephrase : if 99 is in k then 100 is in k

(1) 50 is in K. 51 is in k , 52 is in k.............suff

(2) 150 is in K.


151 is in k , 152 is in k .......insuff

A

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Re: DS - is 100 in K?   [#permalink] 01 Nov 2008, 11:33
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K is a set of integers such that if the integer r is in K,

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