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# If n is an integer between 2 and 100 and if n is also the

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Senior Manager
Joined: 05 Jan 2005
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If n is an integer between 2 and 100 and if n is also the [#permalink]

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11 Jan 2006, 12:33
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If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?
(1) n is the cube of an integer.
(2) n is even.

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CEO
Joined: 20 Nov 2005
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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11 Jan 2006, 12:50
A

Main Stem: n can be 4,9,16,25,36.49,64,81

St1: n can be 8,27,64 So n = 64 SUFF

St2: n can be 4,16,36,64. INSUFF
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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Director
Joined: 04 Oct 2005
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12 Jan 2006, 23:26
A it is
As per ques stem n cam be (4,9,16,25,36,49,64,81)

a)n is cube of integer...in the list above only 64 is the cube of integer.So sSUFF

b)n is even...4,16,64 are even so INSUFF
Hence A

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Intern
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13 Jan 2006, 13:32
squared integers between 2 and 100 = 4,9,16,25,36,49,64,81

cubed integers between 2 and 100 = 8, 27, 64

64 (a) matches up, though several are (b) even

what difficulty level is this question? easy or medium...

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Senior Manager
Joined: 05 Jan 2005
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16 Jan 2006, 10:50
good job guys OA is A

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16 Jan 2006, 10:50
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