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# A magician marks off on a stick of length 1 yard in thirds and fifths

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Intern
Joined: 14 Jan 2016
Posts: 4
A magician marks off on a stick of length 1 yard in thirds and fifths  [#permalink]

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Updated on: 28 Jun 2017, 09:21
1
2
00:00

Difficulty:

65% (hard)

Question Stats:

51% (01:57) correct 49% (02:00) wrong based on 97 sessions

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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

Originally posted by OprBarbosa2017 on 28 Jun 2017, 07:53.
Last edited by Bunuel on 28 Jun 2017, 09:21, edited 1 time in total.
Renamed the topic.
Director
Joined: 05 Mar 2015
Posts: 985
Re: A magician marks off on a stick of length 1 yard in thirds and fifths  [#permalink]

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28 Jun 2017, 08:12
3
1
nidhibh03 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

Let length be LCM of 5,30 = 150
equal lengths are marked

Ans B
Attachments

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Senior Manager
Joined: 28 May 2017
Posts: 276
Concentration: Finance, General Management
Re: A magician marks off on a stick of length 1 yard in thirds and fifths  [#permalink]

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28 Jun 2017, 08:16
1
nidhibh03 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

Dear Nidhi,

Though I am not a MOD, A piece of advice.....

Kindly search the forum before posting.....Your patience would be appreciated by everyone else and such approach would be handy for you.
Intern
Joined: 11 Aug 2016
Posts: 46
Location: India
Concentration: Operations, General Management
Schools: HBS '18, ISB '17, IIMA
GMAT 1: 710 Q49 V38
GPA: 3.95
WE: Design (Manufacturing)
Re: A magician marks off on a stick of length 1 yard in thirds and fifths  [#permalink]

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28 Jun 2017, 09:55
3
nidhibh03 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 we are marking at the thirds and fifths, we take a stick length equal to the LCM of (3 and 5) i.e. 15 for ease of calculation/depiction.

So we will have 15 equal lengths of 1 unit each. I will represent each dash as 1 unit
_ _ _||_ _|_||_ _ _||_|_ _||_ _ _

I have marked the third positions by a single vertical line and the fifths by double vertical line. Let us list down the number of sticks of different lengths(count the number of dashes before a bar and in between bars to do so)

1 unit => 2
2 units => 2
3 units => 3

So maximum number of sticks of equal length = 3. Answer B
Math Expert
Joined: 02 Sep 2009
Posts: 59561
Re: A magician marks off on a stick of length 1 yard in thirds and fifths  [#permalink]

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28 Jun 2017, 11:03
2
1
Director
Joined: 13 Mar 2017
Posts: 730
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: A magician marks off on a stick of length 1 yard in thirds and fifths  [#permalink]

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09 Sep 2017, 21:15
4
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.

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Re: A magician marks off on a stick of length 1 yard in thirds and fifths  [#permalink]

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20 Feb 2019, 08:39
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Re: A magician marks off on a stick of length 1 yard in thirds and fifths   [#permalink] 20 Feb 2019, 08:39
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