What is the value of positive integer n?
(1) n^4 < 25
(2) n is not equal to n^2
OA:C
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What is the value of positive integer n?
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Statement 1:NandishSS wrote:What is the value of positive integer n?
(1) n^4 < 25
(2) n is not equal to n^2
n� < 25
n² < 5.
Since n must be positive, n=1 or n=2.
INSUFFICIENT.
Statement 2:
The only positive integer equal to its square is 1:
1 = 1².
Thus, Statement 2 indicates that n≠1.
Since n can be equal to any positive integer other than 1, INSUFFICIENT.
Statements combined:
Of the two options for n in statement 1, only n=2 satisfies both statements.
Thus, n=2.
SUFFICIENT.
The correct answer is C.
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Hi NandishSS,
This question can be solved with some simple 'brute force' arithmetic.
We're told that N is a POSITIVE INTEGER. We're asked for the value of N.
1) N^4 < 25
Since N is a positive integer, this Fact really limits to possible values of N...
1^4 = 1
2^4 = 16
3^4 = 81 TOO BIG
As N gets bigger, N^4 gets bigger. Fact 1 limits N down to either 1 or 2, but we don't know which one it is.
Fact 1 is INSUFFICIENT
2) N is NOT equal to N^2
This Fact eliminates 1 as a possible value, but N could be any other positive integer.
Fact 2 is INSUFFICIENT
Combined,we know that...
N = 1 or N=2
N cannot be 1
Thus, N MUST be 2
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
This question can be solved with some simple 'brute force' arithmetic.
We're told that N is a POSITIVE INTEGER. We're asked for the value of N.
1) N^4 < 25
Since N is a positive integer, this Fact really limits to possible values of N...
1^4 = 1
2^4 = 16
3^4 = 81 TOO BIG
As N gets bigger, N^4 gets bigger. Fact 1 limits N down to either 1 or 2, but we don't know which one it is.
Fact 1 is INSUFFICIENT
2) N is NOT equal to N^2
This Fact eliminates 1 as a possible value, but N could be any other positive integer.
Fact 2 is INSUFFICIENT
Combined,we know that...
N = 1 or N=2
N cannot be 1
Thus, N MUST be 2
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
