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555-605 (Medium)|   Geometry|      
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Bunuel
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If three times the circumference of circle P is double the circumferen 21 Jun 2022, 05:45
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Difficulty:

35% (medium)

Question Stats:

59% (01:23) correct 41% (01:22) wrong based on 27 sessions

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If three times the circumference of circle P is double the circumference of circle Q, then the diameter of circle Q is how many times the radius of circle P?

A. 6
B. 3
C. 1.5
D. 4/3
E. 2/3
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B
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If three times the circumference of circle P is double the circumferen 21 Jun 2022, 07:03
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Bunuel
If three times the circumference of circle P is double the circumference of circle Q, then the diameter of circle Q is how many times the radius of circle P?

A. 6
B. 3
C. 1.5
D. 4/3
E. 2/3
Show more

Before we start solving, wouldn't it really suck to know how to get the right answer, do all the math,...and then click the wrong answer because you do diameter:diameter or radius:radius? As soon as I spot that there's a little trap at the end of the question, I flip my computer mouse over. That way, when I go to click an answer, I have a reminder to make sure I took care of the trap.

On to the solution. Let's just make up values that are easy to work with. Make circumference of P = 2pi and circumference of Q = 3pi. Diameter of P = 1 and diameter of Q = 1.5. Radius of P = 0.5.
Diameter Q : Radius P = 1.5:0.5 = 3

Answer choice B.
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If three times the circumference of circle P is double the circumferen 21 Jun 2022, 19:09
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ThatDudeKnows
Bunuel
If three times the circumference of circle P is double the circumference of circle Q, then the diameter of circle Q is how many times the radius of circle P?

A. 6
B. 3
C. 1.5
D. 4/3
E. 2/3

Before we start solving, wouldn't it really suck to know how to get the right answer, do all the math,...and then click the wrong answer because you do diameter:diameter or radius:radius? As soon as I spot that there's a little trap at the end of the question, I flip my computer mouse over. That way, when I go to click an answer, I have a reminder to make sure I took care of the trap.

On to the solution. Let's just make up values that are easy to work with. Make circumference of P = 2pi and circumference of Q = 3pi. Diameter of P = 1 and diameter of Q = 1.5. Radius of P = 0.5.
Diameter Q : Radius P = 1.5:0.5 = 3

Answer choice B.
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Can i take larger numbers (say 2 and 8)
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ThatDudeKnows
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If three times the circumference of circle P is double the circumferen 21 Jun 2022, 20:00
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Solenja
ThatDudeKnows
Bunuel
If three times the circumference of circle P is double the circumference of circle Q, then the diameter of circle Q is how many times the radius of circle P?

A. 6
B. 3
C. 1.5
D. 4/3
E. 2/3

Before we start solving, wouldn't it really suck to know how to get the right answer, do all the math,...and then click the wrong answer because you do diameter:diameter or radius:radius? As soon as I spot that there's a little trap at the end of the question, I flip my computer mouse over. That way, when I go to click an answer, I have a reminder to make sure I took care of the trap.

On to the solution. Let's just make up values that are easy to work with. Make circumference of P = 2pi and circumference of Q = 3pi. Diameter of P = 1 and diameter of Q = 1.5. Radius of P = 0.5.
Diameter Q : Radius P = 1.5:0.5 = 3

Answer choice B.
Can i take larger numbers (say 2 and 8)
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You can use whatever numbers you'd like...IF they meet the criteria stated in the question! In this case, we need numbers that make it true that "three times the circumference of circle P is double the circumference of circle Q." Would 2 and 8 meet that criteria?
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If three times the circumference of circle P is double the circumferen 21 Jun 2022, 20:13
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I did many steps to explain in detail for you, but of course you don’t need to do all these steps during the test, specially in a relatively simple question like that.
Let’s work.
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