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

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SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 357 [0], given: 49

n is an intiger and n^3 is between 1 and 100 inclusive,what [#permalink]

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16 Sep 2006, 09:07
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
Intern
Joined: 17 Apr 2006
Posts: 42
Followers: 0

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

Re: V.good properties of intigers [#permalink]

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16 Sep 2006, 09:23
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
VP
Joined: 02 Jun 2006
Posts: 1261
Followers: 2

Kudos [?]: 87 [0], given: 0

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16 Sep 2006, 09:36

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.
SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 357 [0], given: 49

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16 Sep 2006, 09:56
C is wrong folks ... watch for the trick here
Senior Manager
Joined: 11 May 2006
Posts: 258
Followers: 2

Kudos [?]: 23 [0], given: 0

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16 Sep 2006, 10:03
i pick E.

k could be 1/2 also
in that case 2 also satisfies n=2k+1 and n is prime.
VP
Joined: 02 Jun 2006
Posts: 1261
Followers: 2

Kudos [?]: 87 [0], given: 0

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16 Sep 2006, 10:08
Aha!!! Those tricks... !!

yezz wrote:
C is wrong folks ... watch for the trick here
SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 357 [0], given: 49

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16 Sep 2006, 10:39
iced_tea you rock
16 Sep 2006, 10:39
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