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05 Nov 2018, 00:58
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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:
25%
(medium)
Question Stats:
68% (01:05) correct
32%
(01:22)
wrong
based on 136
sessions
History
Date
Time
Result
Not Attempted Yet
In the triangle below, is x > 90?
(1) a^2 + b^2 < 25
(2) c > 5
2018-11-05_1157.png [ 8.33 KiB | Viewed 3398 times ]
(1) a^2 + b^2 < 25
(2) c > 5
Attachment:
2018-11-05_1157.png [ 8.33 KiB | Viewed 3398 times ]
05 Nov 2018, 02:37
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The answer is C.
We can solve this question using the Logical approach, no need to actually answer it. to determine if x>90, we need information about the relation between a,b and c (in order to see if the relation exceeds or is less than pythagorean).
(1) and (2) are clearly insufficient, as each only provides part of the relevant data.
Combined, we know that a^2+b^2<25<c^2, giving us a direct comparison between a,b, and c. sufficient!
Answer C.
(the answer is "yes", because since c^2>a^2+b^2, this means the relation are more than pythagorean, i.e. more than a right angle.)
We can solve this question using the Logical approach, no need to actually answer it. to determine if x>90, we need information about the relation between a,b and c (in order to see if the relation exceeds or is less than pythagorean).
(1) and (2) are clearly insufficient, as each only provides part of the relevant data.
Combined, we know that a^2+b^2<25<c^2, giving us a direct comparison between a,b, and c. sufficient!
Answer C.
(the answer is "yes", because since c^2>a^2+b^2, this means the relation are more than pythagorean, i.e. more than a right angle.)
Archit3110
Major Poster
05 Nov 2018, 11:41
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(1) a^2 + b^2 < 25
(2) c > 5
From stmnt 1: we cannot determine anything as C is not given
From stmnt 2: a & b not given
Combing two eqns:
relation we get is C>25 and A^2+b^2<25 so we can say that c^2>A^2+b^2 ; which means that angle x would be obtuse angle 180>x>90
(2) c > 5
From stmnt 1: we cannot determine anything as C is not given
From stmnt 2: a & b not given
Combing two eqns:
relation we get is C>25 and A^2+b^2<25 so we can say that c^2>A^2+b^2 ; which means that angle x would be obtuse angle 180>x>90
