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If |x| < 4, what is the value of x?

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If |x| < 4, what is the value of x? [#permalink] New post 24 Dec 2012, 12:42
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If |x| < 4, what is the value of x?

(1) x is an integer divisible by 3
(2) x is an integer divisible by 2

This one is taken from the GMAT club test.

I am not sure if I follow the logic given in the OA.
[Reveal] Spoiler: OA

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Re: If |x| < 4, what is the value of x? [#permalink] New post 24 Dec 2012, 13:51
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If |x| < 4, what is the value of x?

|x| < 4 --> -4<x<4

(1) x is an integer divisible by 3 --> x can be -3, 0, or 3. Not sufficient.

(2) x is an integer divisible by 2 --> x can be -2, 0, or 2. Not sufficient.

(1)+(2) Only multiple of both 2 and 3 in the range is 0. Sufficient.

Answer: C.
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Re: If |x| < 4, what is the value of x? [#permalink] New post 24 Dec 2012, 13:57
Bunuel wrote:
If |x| < 4, what is the value of x?

|x| < 4 --> -4<x<4

(1) x is an integer divisible by 3 --> x can be -3, 0, or 3. Not sufficient.

(2) x is an integer divisible by 2 --> x can be -2, 0, or 2. Not sufficient.

(1)+(2) Only multiple of both 2 and 3 in the range is 0. Sufficient.

Answer: C.


Wow what an easy solution. Thanks Bunuel.
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Re: If |x| < 4, what is the value of x? [#permalink] New post 24 Dec 2012, 14:39
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pikachu wrote:
If |x| < 4, what is the value of x?

(1) x is an integer divisible by 3
(2) x is an integer divisible by 2

This one is taken from the GMAT club test.

I am not sure if I follow the logic given in the OA.

Hi Pikachu

i guess u might have missed Zero while solving hence u wer doubting the OA.
Zero is the least multiple of all the number as 1 is the least factor.....A very important point to note
Consider this question :-
What is the least value of a number that when divided by 3 leaves a remainder of 1?
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Re: If |x| < 4, what is the value of x? [#permalink] New post 27 Dec 2012, 18:04
Archit143 wrote:
pikachu wrote:
If |x| < 4, what is the value of x?

(1) x is an integer divisible by 3
(2) x is an integer divisible by 2

This one is taken from the GMAT club test.

I am not sure if I follow the logic given in the OA.

Hi Pikachu

i guess u might have missed Zero while solving hence u wer doubting the OA.
Zero is the least multiple of all the number as 1 is the least factor.....A very important point to note
Consider this question :-
What is the least value of a number that when divided by 3 leaves a remainder of 1?



Hi Bunuel, Archit143,

When you say Zero is the least multiple of all the number, I am not following it. Anything multiplied by ZERO would result in ZERO then how come it can be a multiple. I guess I am missing something here... a property or a basic stuff. Can you please clear it out
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Re: If |x| < 4, what is the value of x? [#permalink] New post 28 Dec 2012, 04:16
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jakelong1 wrote:
Archit143 wrote:
pikachu wrote:
If |x| < 4, what is the value of x?

(1) x is an integer divisible by 3
(2) x is an integer divisible by 2

This one is taken from the GMAT club test.

I am not sure if I follow the logic given in the OA.

Hi Pikachu

i guess u might have missed Zero while solving hence u wer doubting the OA.
Zero is the least multiple of all the number as 1 is the least factor.....A very important point to note
Consider this question :-
What is the least value of a number that when divided by 3 leaves a remainder of 1?



Hi Bunuel, Archit143,

When you say Zero is the least multiple of all the number, I am not following it. Anything multiplied by ZERO would result in ZERO then how come it can be a multiple. I guess I am missing something here... a property or a basic stuff. Can you please clear it out


An integer a is a multiple of an integer b (integer a is a divisible by an integer b) means that \frac{a}{b}=integer: so, as 0 divided by any integer (except zero itself) yields an integer then zero is a multiple of every integer (except zero itself).

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If |x| < 4, what is the value of x? [#permalink] New post 28 Dec 2012, 16:42
Awesome Bunuel,

I didnt think from this angle... thanks for clearing it up :-D
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Re: If |x| < 4, what is the value of x? [#permalink] New post 20 Feb 2013, 15:42
great question.....
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Re: If |x| < 4, what is the value of x? [#permalink] New post 16 Mar 2014, 03:26
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Re: If |x| < 4, what is the value of x?   [#permalink] 16 Mar 2014, 03:26
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