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# X number of books have to be distributed equally among a number of

Author Message
Director
Joined: 25 Dec 2018
Posts: 528
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
X number of books have to be distributed equally among a number of  [#permalink]

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23 Mar 2019, 08:17
1
00:00

Difficulty:

35% (medium)

Question Stats:

58% (01:01) correct 42% (00:58) wrong based on 31 sessions

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X number of books have to be distributed equally among a number of library shelves. If X is a multiple of both 9 and 6, which of the following statements must be true?

I. The books can be distributed equally among 3 library shelves
II. The books can be distributed equally among 27 library shelves
III. The books can be distributed equally among 54 library shelves

A. I only
B. II only
C. III only
D. I, II and III
E. None of the above
Intern
Joined: 18 May 2017
Posts: 12
Re: X number of books have to be distributed equally among a number of  [#permalink]

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23 Mar 2019, 08:23
1
lcm of 9 and 6 is 18, this is the least number of books possible.
among 3, 27 and 54, only 3 can divide 18.
Re: X number of books have to be distributed equally among a number of   [#permalink] 23 Mar 2019, 08:23
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