For each positive integer n, the integer n* is defined by n*=n^2+1. What is the value of the positive integer k?
(1) When k is divided by 4, the remainder is 1
(2) 18=k*=36
I chose E, why OA is B~~~~
Pls explain.... Thank you
Complicated math, pls help
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Is option B correctly written?
tracyyahoo wrote:For each positive integer n, the integer n* is defined by n*=n^2+1. What is the value of the positive integer k?
(1) When k is divided by 4, the remainder is 1
(2) 18=k*=36
I chose E, why OA is B~~~~
Pls explain.... Thank you
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Statement 2 suggests that 18 = 36.tracyyahoo wrote:
(2) 18=k*=36
Might be a problem with the way you transcribed the question
Cheers,
Brent
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Here's how the question should be written:
For each positive integer n, the integer n* is defined by n*=(n^2)+1. What is the value of the positive integer k?
1. When k is divided by 4, the remainder is 1
2. 18 < k* < 36
Statement 1:
k can have several different values: k=1, k=5, k=9, etc
Statement 1 is not sufficient
Statement 2:
Here, we are told that 18 < (k^2) + 1 < 36
Subtract 1 from all 3 sides to get: 17 < (k^2) < 35
Since k is a positive integer, we can see that k must equal 5
As such, statement 2 is sufficient, and the answer is B
Cheers,
Brent
For each positive integer n, the integer n* is defined by n*=(n^2)+1. What is the value of the positive integer k?
1. When k is divided by 4, the remainder is 1
2. 18 < k* < 36
Statement 1:
k can have several different values: k=1, k=5, k=9, etc
Statement 1 is not sufficient
Statement 2:
Here, we are told that 18 < (k^2) + 1 < 36
Subtract 1 from all 3 sides to get: 17 < (k^2) < 35
Since k is a positive integer, we can see that k must equal 5
As such, statement 2 is sufficient, and the answer is B
Cheers,
Brent