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Problem Solving (PS) | Re: A magician marks off on a stick of length 1 yard in thirds and fifths

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OprBarbosa2017 wrote:

A magician marks off on a stick of length 1 yard in thirds and fifths and breaks the stick at the marked points. what is the maximum number of pieces which are equal in length?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6


Since LCM of 3 and 5 is 15
So, let the length of stick be 15 units.
So, on division in thirds, stick will be broken at 5,10 units from left position
Again on division in fifths , stick will be broken at 3,6,9,12 units from left position.

So, lengths of parts will be 3-0, 5-3, 6-5,
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