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n is an intiger and n^3 is between 1 and 100 inclusive,what

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SVP
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n is an intiger and n^3 is between 1 and 100 inclusive,what [#permalink] New post 16 Sep 2006, 08:07
n is an intiger and n^3 is between 1 and 100 inclusive,what is the value of n?
1)n=2k+1
2) n is prime
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Re: V.good properties of intigers [#permalink] New post 16 Sep 2006, 08:23
yezz wrote:
n is an intiger and n^3 is between 1 and 100 inclusive,what is the value of n?
1)n=2k+1
2) n is prime



I'd go with C

n can be 1,2,3,4 for n^3 to lie between 1 and 100

From 1:
n is odd, but there are 2 values 1 and 3 so INSUFF

From 2:
n is 2 or 3 both of which are prime, so INSUFF

From 1 and 2:

n is odd and prime, => n = 3. Hence SUFF
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 [#permalink] New post 16 Sep 2006, 08:36
Answer: C

Given
1 < n^3 < 100

or 1 << n < 4

S1: n =2k+1

n = 1, when k =0
n = 3, when k = 1, Not sufficient.

S2: n is prime.. Could be 2 or 3
Not sufficient.

S1 & S2:
n = 3. Sufficient.
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 [#permalink] New post 16 Sep 2006, 08:56
C is wrong folks ... watch for the trick here
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 [#permalink] New post 16 Sep 2006, 09:03
i pick E.

k could be 1/2 also
in that case 2 also satisfies n=2k+1 and n is prime.
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 [#permalink] New post 16 Sep 2006, 09:08
Aha!!! Those tricks... !!


yezz wrote:
C is wrong folks ... watch for the trick here
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 [#permalink] New post 16 Sep 2006, 09:39
iced_tea you rock :lol:
  [#permalink] 16 Sep 2006, 09:39
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n is an intiger and n^3 is between 1 and 100 inclusive,what

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