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# What is the value of the positive integer n? 1) n^ 4 <

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What is the value of the positive integer n? 1) n^ 4 < [#permalink]  10 Dec 2004, 08:10
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What is the value of the positive integer n?
1) n^ 4 < 25
2) n < > n ^ 2

< > means not equal to
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Director
Joined: 03 Nov 2004
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[#permalink]  10 Dec 2004, 08:33
'C'
From Statement 1: n can be 1 or 16
From Statement 2: n can be any number but 1
Both put together n can be 16
Director
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[#permalink]  10 Dec 2004, 08:48
I choose C too.

the 2 statements involve n=2
Manager
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[#permalink]  10 Dec 2004, 11:08
'C'
From Statement 1: n can be 1 or 16
From Statement 2: n can be any number but 1
Both put together n can be 16

Can you explain why from statement 1 n can be 16?
Director
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[#permalink]  10 Dec 2004, 11:19
Jinino, From statement 1 we get two possible values for n.
If we assume n is 1: From statement 1 we get, 1^4 => 1 which is less than 25 and
If we assume n is 2: From statement 2 we get, 2^4 => 16 which is still less than 25
But if we assume n is 3: 3^4 would not be less than 25

Hence from statement 1 we get two values for n which are 1 & 2.

My earlier post should have read - From Statement 1: n can be 1 or 2. I am sorry if this led to your confusion.
Manager
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[#permalink]  10 Dec 2004, 11:21
rthothad, thanks for your quick reply! I am clear now.
[#permalink] 10 Dec 2004, 11:21
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# What is the value of the positive integer n? 1) n^ 4 <

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