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If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is

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If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is [#permalink]

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New post 25 Oct 2016, 15:59
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64% (01:08) correct 36% (01:15) wrong based on 197 sessions

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If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between

A) 16 and 13
B) 12 and 3
C) 11 and 4
D) 10 and 5
E) 9 and 6

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Manager
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Joined: 28 Jun 2016
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Concentration: Operations, Entrepreneurship
Re: If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is [#permalink]

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New post 25 Oct 2016, 16:07
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duahsolo wrote:
If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between

A) 16 and 13
B) 12 and 3
C) 11 and 4
D) 10 and 5
E) 9 and 6



Since a ≠ 0, greatest possible value for b will be less than 12 but closer to it.

So it lies between 11 and 12

B
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Re: If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is [#permalink]

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New post 02 Aug 2017, 14:34
acegmat123 wrote:
duahsolo wrote:
If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between

A) 16 and 13
B) 12 and 3
C) 11 and 4
D) 10 and 5
E) 9 and 6



Since a ≠ 0, greatest possible value for b will be less than 12 but closer to it.

So it lies between 11 and 12

B


thank you. I failed to take into consideration non-integer values...
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Joined: 09 Jun 2017
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If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is [#permalink]

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New post 02 Aug 2017, 17:46
duahsolo wrote:
If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between

A) 16 and 13
B) 12 and 3
C) 11 and 4
D) 10 and 5
E) 9 and 6


To determine the *greatest* possible value b, we should test values as close to 12 as possible (since a=0 and b=12 is not allowed). The question doesn't say b must be an integer, so we can try the square root of 143. That equals ~11.9--put another way, 11<b<12. Going through the answers:

A) Incorrect. b is less than 13.
B) Correct. Since 11<b<12, then it follows that 3<b<12.
C) Incorrect. b is greater than 11.
D) Incorrect. b is greater than 10.
E) Inccorect. b is greater than 9.
If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is   [#permalink] 02 Aug 2017, 17:46
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If a2 + b2 = 144 and ab ≠ 0, then the greatest possible value for b is

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