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If |x| < 4, what is the value of x? [#permalink]
 24 Dec 2012, 13:42
Question Stats:
53% (01:50) correct
46% (00:45) wrong based on 2 sessions
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.
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Re: If |x| < 4, what is the value of x? [#permalink]
24 Dec 2012, 14:51
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Re: If |x| < 4, what is the value of x? [#permalink]
24 Dec 2012, 14:57
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]
24 Dec 2012, 15:39
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]
27 Dec 2012, 19:04
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]
28 Dec 2012, 05:16
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.
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Re: If |x| < 4, what is the value of x? [#permalink]
28 Dec 2012, 17:42
Awesome Bunuel, I didnt think from this angle... thanks for clearing it up 
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Re: If |x| < 4, what is the value of x? [#permalink]
20 Feb 2013, 16:42
great question.....
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Re: If |x| < 4, what is the value of x?
[#permalink]
20 Feb 2013, 16:42
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