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27 May 2016, 09:09
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
78% (00:45) correct
22%
(00:39)
wrong
based on 76
sessions
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In an isosceles triangle PQR, how many degrees is ∠ P
(1) The measurement of angle R is 100 degree.
(2) The measurement of angle Q is 40 degree.
(1) The measurement of angle R is 100 degree.
(2) The measurement of angle Q is 40 degree.
27 May 2016, 09:30
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Bunuel
Statement 1
This has to be the solitary angle. There cannot be 2 angles of 100 degree in a triangle.
So the two equal angles each will be 40 degrees.
Sufficient.
Statement 2
Now 40 can be one of the two equal base angles. Then angle P = 40 degrees
Or 40 can be the vertex angle. Other two angles being 70 degree each. Then angle P will be 70 degrees
Not Sufficient
Answer: Option A
28 May 2016, 20:27
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In the original condition, we need to know what angles have the same degree. There is one variable, and there is high chance that D is the correct answer.
In terms of the condition 1), if R=100, p= some degree and Q=40. The answer is unique and the condition is sufficient.
In terms of the condition 2), if Q=40, both P=40 and P=50 are possible. The answer is not unique and the condition is not sufficient. Hence, the correct answer is A.
In terms of the condition 1), if R=100, p= some degree and Q=40. The answer is unique and the condition is sufficient.
In terms of the condition 2), if Q=40, both P=40 and P=50 are possible. The answer is not unique and the condition is not sufficient. Hence, the correct answer is A.
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