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Difficult Math Question #32 - Sets

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800guy Master | Next Rank: 500 Posts Default Avatar
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Difficult Math Question #32 - Sets

Post Mon Oct 23, 2006 2:27 pm
A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. -3 II. 1 III. 5
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III

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limits660 Senior | Next Rank: 100 Posts
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Post Wed Oct 25, 2006 4:27 am
I think its E

All of them are there

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800guy Master | Next Rank: 500 Posts Default Avatar
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Post Wed Oct 25, 2006 3:28 pm
here's the OA:

Series property: t => t+2. (Note: for any given number N, ONLY N + 2 is compulsory. N - 2 is not a necessity as N could be the first term...this can be used as a trap.)
Given: -1 belongs to the series. => 1 => 3 =>5. DOES NOT imply -3.
Hence, II and III (D).

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limits660 Senior | Next Rank: 100 Posts
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Post Wed Oct 25, 2006 4:27 am
I think its E

All of them are there

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Jeff Sacco
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800guy Master | Next Rank: 500 Posts Default Avatar
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Post Wed Oct 25, 2006 3:28 pm
here's the OA:

Series property: t => t+2. (Note: for any given number N, ONLY N + 2 is compulsory. N - 2 is not a necessity as N could be the first term...this can be used as a trap.)
Given: -1 belongs to the series. => 1 => 3 =>5. DOES NOT imply -3.
Hence, II and III (D).

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ajith Legendary Member
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Post Tue Oct 24, 2006 8:32 pm
D it is ..

since -1 is there 1 has to be there
similarly since 1 is there 3 has to be there
so is 5

-3 may or may not be there...

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