Hi,
I don't fully understand Q1 myself, but here is my attempt at Q2
Let radius of the circle = r
side of square = a
Question is asking, is pi*r^2 = a^2
(1)
Diameter = Side => 2r = a => r = a/2
Area of circle = pi*r^2 = pi*(a/2)^2 = pi*a^2/4
Area of square = a^2
Clearly, pi*a^2/4 is not equal to a^2 (if it was, we would pi = 4), hence sufficient to answer the question
(2)
(2/3)*pi*r^2 < (5/8)*a^2
=> 16*pi*r^2 < 15*a^2
If pi*r^2 = a^2, then we would get 16<15, which is not true, hence sufficient to answer the question as well.
Thus, in my opinion, answer should be (D). Can you please confirm the OA?
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Kaplan Geometry Question
Source: Beat The GMAT — Problem Solving |
first problem:
two points are given.
It means that a line segment is given.
With a line segment as a chord, any number of circles can be drawn.
Hence pick D.
two points are given.
It means that a line segment is given.
With a line segment as a chord, any number of circles can be drawn.
Hence pick D.
"Once you start working on something,
don't be afraid of failure and don't abandon it.
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Chanakya quotes (Indian politician, strategist and writer, 350 BC-275BC)
don't be afraid of failure and don't abandon it.
People who work sincerely are the happiest."
Chanakya quotes (Indian politician, strategist and writer, 350 BC-275BC)
very nice questions :
1 : D
2: D
1 : D
2: D
