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Math Expert V
Joined: 02 Sep 2009
Posts: 58424
If r is the remainder when 18 is divided by n (2 < n < 18), what is th  [#permalink]

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Difficulty:   75% (hard)

Question Stats: 41% (01:29) correct 59% (01:30) wrong based on 44 sessions

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If r is the remainder when 18 is divided by n (2 < n < 18), what is the value of r ?

(1) n > 12
(2) n = 2^m, where m is a positive integer.

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Re: If r is the remainder when 18 is divided by n (2 < n < 18), what is th  [#permalink]

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Bunuel wrote:
If r is the remainder when 18 is divided by n (2 < n < 18), what is the value of r ?

(1) n > 12
(2) n = 2^m, where m is a positive integer.

r is the remainder when 18 is divided by n. n could be : 3 to 17 . inclusive.

Statement 1: n>12. no. of values of n yield different remainders. NOT sufficient.

Statement 2: $$n = 2^m$$ . n could be = 4 , 8 , 16. In all case remainder is 2. Sufficient.

The best answer is B.
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Re: If r is the remainder when 18 is divided by n (2 < n < 18), what is th  [#permalink]

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Bunuel wrote:
If r is the remainder when 18 is divided by n (2 < n < 18), what is the value of r ?

(1) n > 12
(2) n = 2^m, where m is a positive integer.

Question: what is the value of r ?

Statement 1: n > 12
if n = 13, r = 5
if n = 14, r = 4
NOT SUFFICIENT

Statement 2: n = 2^m, where m is a positive integer.
if n = 4, r = 2
if n = 8, r = 2
if n = 16, r = 2
ie. remainder is always consistent value equal to 2 for any number n which is 2^m where m > 1
SUFFICIENT

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ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Re: If r is the remainder when 18 is divided by n (2 < n < 18), what is th   [#permalink] 25 Sep 2018, 23:04
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