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29 Jun 2022, 03:00
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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:
65%
(hard)
Question Stats:
40% (01:51) correct
60%
(01:48)
wrong
based on 25
sessions
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A triangle is inscribed in a circle. If one of the sides has length of ππ, is the triangle a right triangle?
(1) Two sides of the triangle are equal to each other.
(2) The circumference of the circle is π^2.
Are You Up For the Challenge: 700 Level Questions
(1) Two sides of the triangle are equal to each other.
(2) The circumference of the circle is π^2.
Are You Up For the Challenge: 700 Level Questions
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
02 Jul 2022, 04:10
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(1) Two sides of the triangle are equal to each other.
The triangle could be a special 45-45-90 right angle triangle, where two sides are the same, or the triangle could be an isosceles triangle.
INSUFFICIENT
(2) The circumference of the circle is π^2.
Translated as an equation: \(2πr = π^2\)
\(r = \frac{π}{2}\) which means that the diameter = \(π\), which the question stem states is a side of the triangle. The only way that a triangle inscribed in a circle has a side that is equal to the diameter is if the triangle is a 90' triangle where the diameter of the circle is the hypotenuse of the triangle.
SUFFICIENT
Answer B
The triangle could be a special 45-45-90 right angle triangle, where two sides are the same, or the triangle could be an isosceles triangle.
INSUFFICIENT
(2) The circumference of the circle is π^2.
Translated as an equation: \(2πr = π^2\)
\(r = \frac{π}{2}\) which means that the diameter = \(π\), which the question stem states is a side of the triangle. The only way that a triangle inscribed in a circle has a side that is equal to the diameter is if the triangle is a 90' triangle where the diameter of the circle is the hypotenuse of the triangle.
SUFFICIENT
Answer B
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