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E
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:
54% (01:07) correct
46%
(00:48)
wrong
based on 28
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of the circle?
I: The radius of the circle is "a" unit.
II: The area of another circle whose radius is double the radius of this circle is (4a)^2, square units.
I: The radius of the circle is "a" unit.
II: The area of another circle whose radius is double the radius of this circle is (4a)^2, square units.
This Question is Locked Due to Poor Quality
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21 Feb 2016, 00:29
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Mesto
hi,
i think you will have to relook into the source, from where you are putting up the Qs,
If the Q asks what is the area, the answer has to be in a numeric value and not in some variable as this Q suggets.
the answer should be E
21 Feb 2016, 23:02
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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
What is the area of the circle?
I: The radius of the circle is "a" unit.
II: The area of another circle whose radius is double the radius of this circle is (4a)^2, square units.
In the original condition, there is a circle, which means you need to know the radius. So, there is 1 variable, which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1), you cannot figure out a, which is not sufficient.
For 2), you cannot figure out a, which is not sufficient.
When 1) & 2), you also cannot figure out a, which is not sufficient.
The answer is E. However, if you can figure out the value of a, the answer is D.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
What is the area of the circle?
I: The radius of the circle is "a" unit.
II: The area of another circle whose radius is double the radius of this circle is (4a)^2, square units.
In the original condition, there is a circle, which means you need to know the radius. So, there is 1 variable, which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1), you cannot figure out a, which is not sufficient.
For 2), you cannot figure out a, which is not sufficient.
When 1) & 2), you also cannot figure out a, which is not sufficient.
The answer is E. However, if you can figure out the value of a, the answer is D.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
Looking for better-quality questions? Check out the 'Similar Questions' block below
for a list of similar but high-quality questions.
Want to join other relevant Problem Solving discussions? Visit our Data Sufficiency (DS) Forum
for the most recent and top-quality discussions.
Thank you for understanding, and happy exploring!
