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13 Sep 2018, 05:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
65% (00:52) correct
35%
(00:57)
wrong
based on 59
sessions
History
Date
Time
Result
Not Attempted Yet
What is the measure of angle B in triangle ABC?
(1) The ratio of the angles in triangle ABC is 3 : 4 : 5
(2) BC < AB < AC
(1) The ratio of the angles in triangle ABC is 3 : 4 : 5
(2) BC < AB < AC
13 Sep 2018, 05:24
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Bunuel
1) If the ratio of angles is known. We know sum of the three angles as 180.
So, 3a+4a+5a = 180. So, a could be calculated. Hence, all the three angles could be calculated, leave just B. Hence, sufficient.
2) Just by knowing that three sides are not equal, don't give any information about the exact length of sides or exact angles of a triangle. Hence, insufficient.
Hence, A.
13 Sep 2018, 06:28
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Bunuel
Statement 1 - Since the sum of all angles of triangle is 180, we can calculate the individual angles using the given ratio. The angles are 75,60, and 45. Yet, this gives no information about angle B. Not sufficient.
Statement 2 - No information about angles. Not sufficient.
Using both statements together, we can say B=angle opposite to largest side=AC. So B is the largest angle, i.e 75 degs.
Hence C.
Cheers!
