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29 Aug 2018, 03:49
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (01:28) correct
20%
(01:07)
wrong
based on 52
sessions
History
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Time
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Children playing a game roll a circular disc to see who can roll it the farthest. What is the area, in square centimeters, of the disc they are playing with?
(1) One child rolled the disc exactly 540 degrees and it rolled exactly 6π centimeters.
(2) On one roll the disc traveled for 6 complete rotations, which lasted a total of 10 seconds.
(1) One child rolled the disc exactly 540 degrees and it rolled exactly 6π centimeters.
(2) On one roll the disc traveled for 6 complete rotations, which lasted a total of 10 seconds.
29 Aug 2018, 05:57
Kudos
Bookmarks
Bunuel
Basically we are asked about the radius of the disc. If we know the radius, we know the area
St1) We know one rotation covers 2*pi*r distance and we know the number of rotations. So we can equate that distance by 6pi
We can find radius.
Sufficient
St2) only thing we can know is velocity that is of no use to find radius.
Insufficient
IMHO answer is A
Thank you = Kudos
29 Aug 2018, 06:43
Kudos
Bookmarks
Bunuel
Question stem:- Area of disc=?
We require radius of disc.
St1:- One child rolled the disc exactly 540 degrees and it rolled exactly 6π centimeters.
540 degree=360 degree(one complete rotation)+180 degree(Half rotation)=6π
Or, Rolling distance at 540 degree=Rolling distance at one complete rotation+Rolling distance at Half rotation=\(2*\pi*r\)+\(\pi*ri\)=6π
(1 complete rotation is equivalent to a distance of \(2*\pi*r\))
Or, \(3*\pi*r\)=6π Or r=2
Hence area can be determined.
Sufficient.
St2:- On one roll the disc traveled for 6 complete rotations, which lasted a total of 10 seconds.
We need info on distance traveled by the disc in one rotation or 6 rotations in in order to determine radius . Time has no function here.
Insufficient.
Ans. (A)
