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, 9-6, 10-9, 12-10, 15-12 = 3,2,1,3,1,2,3

So the maximum number of equal parts are there each equal to 3 units.

Answer B
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