This is my thought process:
Since angle is directly proportional to the opposite length
Statement 1:
b=a+1.5
AB=a;BC-2a+2;AC=a+1.5
Opposite angle of BC will be greatest => Sufficient
Statement 2
a=0.5
AB=0.5; BC=b+0.5; AC=b
Since b MUST BE positive number
Therefore opposite angle of BC will be greatest => Sufficient
Please comment. Thanks.
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Given the OA, I believe that the problem is intended to read as follows:
Question stem, rephrased:
Which side of ∆ABC is the longest?
Statement 1: b = a + 1.5
Resulting lengths:
AB = a.
BC = a + 0.5.
AC = b = a + 1.5.
Thus, AC is the longest side.
SUFFICIENT.
Statement 2: a = 0.5
Thus:
AB = a = 0.5.
BC = a + 0.5 = 0.5 + 0.5 = 1.
If b = 2, then AC = 2, with the result that AC is the longest side.
If b = 0.75, then AC = 0.75, with the result that BC is the longest side.
Since different sides can be the longest, INSUFFICIENT.
The correct answer is A.
The greatest angle is opposite the longest side.pgtc2009 wrote:In ∆ABC, if AB=a, BC=a+0.5, and AC=b, which of the three angles of ∆ABC has the greatest degree measure?
(1)b=a+1.5
(2)a=0.5
Question stem, rephrased:
Which side of ∆ABC is the longest?
Statement 1: b = a + 1.5
Resulting lengths:
AB = a.
BC = a + 0.5.
AC = b = a + 1.5.
Thus, AC is the longest side.
SUFFICIENT.
Statement 2: a = 0.5
Thus:
AB = a = 0.5.
BC = a + 0.5 = 0.5 + 0.5 = 1.
If b = 2, then AC = 2, with the result that AC is the longest side.
If b = 0.75, then AC = 0.75, with the result that BC is the longest side.
Since different sides can be the longest, INSUFFICIENT.
The correct answer is A.
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Hi All,
This prompt is just a 'lift' of an OG question (DS #19 in the OG13 and GMAT2015 books). You can find it here:
https://www.beatthegmat.com/in-pqr-if-pq ... 97943.html
GMAT assassins aren't born, they're made,
Rich
This prompt is just a 'lift' of an OG question (DS #19 in the OG13 and GMAT2015 books). You can find it here:
https://www.beatthegmat.com/in-pqr-if-pq ... 97943.html
GMAT assassins aren't born, they're made,
Rich
