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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: 1518
Followers: 5

Kudos [?]: 117 [0], given: 39

n is an intiger and n^3 is between 1 and 100 inclusive,what [#permalink]  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
Intern
Joined: 17 Apr 2006
Posts: 42
Followers: 0

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

Re: V.good properties of intigers [#permalink]  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
VP
Joined: 02 Jun 2006
Posts: 1267
Followers: 2

Kudos [?]: 42 [0], given: 0

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: 1518
Followers: 5

Kudos [?]: 117 [0], given: 39

C is wrong folks ... watch for the trick here
Senior Manager
Joined: 11 May 2006
Posts: 260
Followers: 1

Kudos [?]: 6 [0], given: 0

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: 1267
Followers: 2

Kudos [?]: 42 [0], given: 0

Aha!!! Those tricks... !!

yezz wrote:
C is wrong folks ... watch for the trick here
SVP
Joined: 05 Jul 2006
Posts: 1518
Followers: 5

Kudos [?]: 117 [0], given: 39

iced_tea you rock
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