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12 Jan 2015, 11:15
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (01:00) correct
19%
(00:58)
wrong
based on 83
sessions
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What is the number of 360-degree rotations that Tashi’s unicycle wheel made while rolling 50 meters in a straight line without slipping?
(1) The diameter of the unicycle wheel, including the tire, was 0.25 meters.
(2) The unicycle wheel made ten 360-degree rotations per minute.
Kudos for a correct solution.
(1) The diameter of the unicycle wheel, including the tire, was 0.25 meters.
(2) The unicycle wheel made ten 360-degree rotations per minute.
Kudos for a correct solution.
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
12 Jan 2015, 11:39
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The unicycle is rolling on a straight line of 60 meters, so if we knew the circumference of the wheel, we could calculate how often it has turned a full 360 degrees.
Statement 1: We get the diameter, so we can calculate the circumference and can answer the question. This is sufficient.
Statement 2: We get an information on the number of turns the wheel made per time, so that doesn't help us much.
Answer A.
Statement 1: We get the diameter, so we can calculate the circumference and can answer the question. This is sufficient.
Statement 2: We get an information on the number of turns the wheel made per time, so that doesn't help us much.
Answer A.
19 Jan 2015, 03:41
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Bunuel
OFFICIAL SOLUTION:
To determine the number of 360-degree rotations (once around) that Tashi’s wheel turned in the 50 meters, you have to know the circumference of the circle in meters. Then you can divide 50 by the circumference to arrive at your answer. To determine the circumference, you need to know the radius, because C = 2πr.
The diameter is double the radius, so statement (1) gives you enough information to determine the radius and solve the problem. The first statement is sufficient, so the answer is either A or D.
The initial question provides no information on total time, so the number of rotations per minute doesn’t help solve the problem. Statement (2) is insufficient, so the answer can’t be D.
Choose A.
