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# ALGEBRA

Author Message
Intern
Joined: 01 Jul 2019
Posts: 8

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09 Aug 2019, 13:39
00:00

Difficulty:

55% (hard)

Question Stats:

60% (02:09) correct 40% (02:14) wrong based on 10 sessions

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If n is a positive integer and r is the remainder when (n – 1)(n + 1) is divided by 24, what is the value of r ?

(1) n is not divisible by 2.
(2) n is not divisible by 3.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.
Math Expert
Joined: 02 Sep 2009
Posts: 57281

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09 Aug 2019, 23:26
VISHNUNAMBI wrote:
If n is a positive integer and r is the remainder when (n – 1)(n + 1) is divided by 24, what is the value of r ?

(1) n is not divisible by 2.
(2) n is not divisible by 3.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

Discussed here: https://gmatclub.com/forum/if-n-is-a-po ... 26393.html

THIS TOPIC IS LOCKED AND ARCHIVED.
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Re: ALGEBRA   [#permalink] 09 Aug 2019, 23:26
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