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n is an integer, and n^2 < 39
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05 Mar 2017, 08:46
05 Mar 2017, 08:46
1
Expert Reply
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00:00
Question Stats:
74% (00:42) correct
25% (01:00) wrong based on 283 sessions
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n is an integer, and \(n^2 < 39\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The greatest possible value of n minus the least possible value of n |
12 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: n is an integer, and n^2 < 39
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11 Mar 2017, 16:59
11 Mar 2017, 16:59
3
Expert Reply
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Bookmarks
Explanation
We know that n is an integer.
And \(n^2 < 39\). The largest perfect square less than 39 is 36
So \(n^2 = 36\). Solving for n we get
\(n = +6\) and \(-6\).
The greatest possible value of n minus the least possible value of \(n = 6 - (-6)\).
Hence both quantities are equal. Hence option C is correct.
We know that n is an integer.
And \(n^2 < 39\). The largest perfect square less than 39 is 36
So \(n^2 = 36\). Solving for n we get
\(n = +6\) and \(-6\).
The greatest possible value of n minus the least possible value of \(n = 6 - (-6)\).
Hence both quantities are equal. Hence option C is correct.
Re: n is an integer, and n^2 < 39
[#permalink]
15 Mar 2018, 16:58
15 Mar 2018, 16:58
1
correct: C
n is an integer, so it can be either positive or negative. n^2 < 39 so - (root of 39) < n < root of 39
39 doesn't have an integer root. n can be at most 6 and at least -6.
A: 6 - (-6) = 12
So A and B are equal.
n is an integer, so it can be either positive or negative. n^2 < 39 so - (root of 39) < n < root of 39
39 doesn't have an integer root. n can be at most 6 and at least -6.
A: 6 - (-6) = 12
So A and B are equal.
