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18 Jan 2018, 03:05
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (01:55) correct
37%
(01:57)
wrong
based on 57
sessions
History
Date
Time
Result
Not Attempted Yet
If the radius of the circle above is equal to the chord AB, then what is the value of x ?
(A) 25
(B) 30
(C) 40
(D) 45
(E) 50
Attachment:
2018-01-18_1404.png [ 18.36 KiB | Viewed 7727 times ]
Updated on: 18 Jan 2018, 05:55
Originally posted by GMATinsight on 18 Jan 2018, 05:52.
Last edited by GMATinsight on 18 Jan 2018, 05:55, edited 2 times in total.
Last edited by GMATinsight on 18 Jan 2018, 05:55, edited 2 times in total.
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Bunuel
Radius = Chord AB
i.e. OAB will be an equilateral triangle where O is the centre of circle
Now by chord AB the angle made at the centre of the circle = 60º
Property: Angle made by a Chord at the centre is always twice the angle made by the same chord at the circumference
As shown in figure
And angle AOB and angle x are made by the same chord at the centre and circumference of the circle respectively
Hence, angle AOB = 2*x = 60º
i.e. x = 30º
Answer: Option B
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18 Jan 2018, 05:58
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Bunuel
Bunuel
Although the question is answerable comfortably however there is this one thing which disqualifies this question from being a GMAT like question in my opinion. The un-necessary information 50º in this case is redundant which is not GMAT like question style.
