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Math Expert
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135984 [0], given: 12719

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16 Sep 2014, 00:19
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Difficulty:

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Question Stats:

64% (00:40) correct 36% (00:35) wrong based on 42 sessions

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If $$|x| \lt 4$$, what is the value of $$x$$ ?

(1) $$x$$ is an integer divisible by 3

(2) $$x$$ is an integer divisible by 2
[Reveal] Spoiler: OA

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Kudos [?]: 135984 [0], given: 12719

Math Expert
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135984 [0], given: 12719

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16 Sep 2014, 00:19
Official Solution:

Statement (1) by itself is insufficient. Consider $$x = 3$$ and $$x = -3$$.

Statement (1) by itself is insufficient. Consider $$x = 2$$ and $$x = -2$$.

Statements (1) and (2) combined are sufficient. $$x = 0$$.

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Kudos [?]: 135984 [0], given: 12719

Intern
Joined: 05 Dec 2015
Posts: 10

Kudos [?]: 5 [0], given: 0

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07 Aug 2016, 14:14
how do statements 1 and 2 lead us to zero? How about 6 and -6 as they are both divisible by 2 and 3. so i thought both statements combined are not sufficient.

Kudos [?]: 5 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135984 [0], given: 12719

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08 Aug 2016, 00:05
ehiszele wrote:
how do statements 1 and 2 lead us to zero? How about 6 and -6 as they are both divisible by 2 and 3. so i thought both statements combined are not sufficient.

It's given in the stem that |x| < 4, which means that -4 < x < 4.
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Kudos [?]: 135984 [0], given: 12719

Intern
Joined: 07 Feb 2016
Posts: 21

Kudos [?]: 1 [0], given: 8

GMAT 1: 650 Q47 V34
GMAT 2: 710 Q48 V39

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17 Apr 2017, 01:02
NaijaBoy234 wrote:
how do statements 1 and 2 lead us to zero? How about 6 and -6 as they are both divisible by 2 and 3. so i thought both statements combined are not sufficient.

$$\frac{0}{3}=0$$

$$\frac{0}{2}=0$$

and $$0$$ is an integer as well.

Kudos [?]: 1 [0], given: 8

Manager
Joined: 17 May 2017
Posts: 150

Kudos [?]: 127 [0], given: 229

GPA: 3

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06 Oct 2017, 11:33
1 is also divisible by 6 isn't it?

Kudos [?]: 127 [0], given: 229

Math Expert
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135984 [0], given: 12719

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07 Oct 2017, 01:00
haardiksharma wrote:
1 is also divisible by 6 isn't it?

Integer x is divisible by integer y means that x/y = integer, so x when divided by y leaves no remainder. 1/6 is not an integer, 1 divided by 6 gives the remaimder of 1, so NO 1 is NOT divisible by 6.
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Kudos [?]: 135984 [0], given: 12719

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