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03 Feb 2023, 02:30
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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:
56% (01:14) correct
44%
(01:34)
wrong
based on 54
sessions
History
Date
Time
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Not Attempted Yet
Is the radius of circle Q longer than 2?
(1) The circumference of circle Q is longer than 12.
(2) AB is a chord of length 5 in circle Q.
(1) The circumference of circle Q is longer than 12.
(2) AB is a chord of length 5 in circle Q.
03 Feb 2023, 06:25
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Question: Is the radius of circle Q longer than 2?
Statement 1:
The circumference of circle Q is longer than 12.
If the radius of a circle is r, then the circumference of a circle, C = 2 x pi x r
According to the stmt 1, C > 12
i.e., 2 x pi x r > 12
Dividing both sides by 2 x pi, we get r > 6/pi or r > 6/3.14 or r > 1.91082802548
Since, r does not have to be an integer, it can take any value, say, 1.95 or 2.10
Therefore, this statement is not sufficient.
Statement 2:
AB is a chord of length 5 in circle Q.
The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle. The diameter is the longest chord of a circle which passes through the center of the circle.
Therefore, the length of the diameter of circle Q is at least 5. Similarly, the length of the radius of circle Q will be at least 2.5.
This statement is sufficient.
Correct answer is (B)
Statement 1:
The circumference of circle Q is longer than 12.
If the radius of a circle is r, then the circumference of a circle, C = 2 x pi x r
According to the stmt 1, C > 12
i.e., 2 x pi x r > 12
Dividing both sides by 2 x pi, we get r > 6/pi or r > 6/3.14 or r > 1.91082802548
Since, r does not have to be an integer, it can take any value, say, 1.95 or 2.10
Therefore, this statement is not sufficient.
Statement 2:
AB is a chord of length 5 in circle Q.
The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle. The diameter is the longest chord of a circle which passes through the center of the circle.
Therefore, the length of the diameter of circle Q is at least 5. Similarly, the length of the radius of circle Q will be at least 2.5.
This statement is sufficient.
Correct answer is (B)
04 Mar 2023, 01:30
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