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stonecold
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GRE 1: Q169 V154
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If x is divisible by 2, 14, and 11, which of the following must be the 02 Nov 2016, 08:22
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E
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75% (hard)

Question Stats:

23% (00:59) correct 77% (00:52) wrong based on 114 sessions

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If x is divisible by 2, 14, and 11, which of the following must be the least multiple of x?

A. 308
B. 154
C. 70
D. 44
E. 0


Original Question => if-x-is-divisible-by-2-14-and-11-which-of-the-following-must-be-the-228218.html#p1757322
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E
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acegmat123
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If x is divisible by 2, 14, and 11, which of the following must be the 02 Nov 2016, 08:35
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stonecold
If x is divisible by 2, 14, and 11, which of the following must be the least multiple of x?

A. 308
B. 154
C. 70
D. 44
E. 0


Original Question => if-x-is-divisible-by-2-14-and-11-which-of-the-following-must-be-the-228218.html#p1757322

x=2*7*11*y

x=154*y

B


Sent from my iPhone using GMAT Club Forum mobile app

What about 0?
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If x is divisible by 2, 14, and 11, which of the following must be the 03 Nov 2016, 01:41
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IMO the correct answer is B.

We are looking for the LCM (which is not 0) of 2, 11, 14:

2 * 11 * 7 = 154
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stonecold
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If x is divisible by 2, 14, and 11, which of the following must be the 03 Nov 2016, 01:44
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Sympex
IMO the correct answer is B.

We are looking for the LCM (which is not 0) of 2, 11, 14:

2 * 11 * 7 = 154

I don't think so.
i think E is correct.
Lets see what chetan2u has to say
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If x is divisible by 2, 14, and 11, which of the following must be the 03 Nov 2016, 08:20
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stonecold

I am sure the discussion here will certainly help you...

https://mathforum.org/library/drmath/view/62543.html

Something from the source -

Quote:
No number except zero is a multiple of zero, because zero times anything is zero. The only multiple that, say, 0 and 5 have in common is 0. Thus, if the LCM of 0 and 5 exists at all, it must be 0.

Hope this helps you...
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If x is divisible by 2, 14, and 11, which of the following must be the 04 Nov 2016, 11:39
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stonecold
If x is divisible by 2, 14, and 11, which of the following must be the least multiple of x?

A. 308
B. 154
C. 70
D. 44
E. 0

I'm going to complicate matters and say the answer is none of the above.
The GMAT says that integer y is a multiple of integer x if y = kx, where k is some integer.
So, for example, -154 is divisible by 2, since we can write -154 = (-77)(2), where -77 is an integer
Likewise, -154 is divisible by 14, since we can write -154 = (-11)(14), where -11 is an integer
And -154 is divisible by 11, since we can write -154 = (-14)(11), where -14 is an integer

So, x COULD equal -154, or -308, or -462, etc.
Notice that all of these values are less than the 5 answer choices.

If you check official GMAT questions involving integer properties (divisors, factors, remainders, etc.), you'll see that they will typically (always perhaps) limit the discussion to POSITIVE values. This makes matters much clearer.

Cheers,
Brent
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stonecold
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If x is divisible by 2, 14, and 11, which of the following must be the 04 Nov 2016, 11:46
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GMATPrepNow
stonecold
If x is divisible by 2, 14, and 11, which of the following must be the least multiple of x?

A. 308
B. 154
C. 70
D. 44
E. 0

I'm going to complicate matters and say the answer is none of the above.
The GMAT says that integer y is a multiple of integer x if y = kx, where k is some integer.
So, for example, -154 is divisible by 2, since we can write -154 = (-77)(2), where -77 is an integer
Likewise, -154 is divisible by 14, since we can write -154 = (-11)(14), where -11 is an integer
And -154 is divisible by 11, since we can write -154 = (-14)(11), where -14 is an integer

So, x COULD equal -154, or -308, or -462, etc.
Notice that all of these values are less than the 5 answer choices.

If you check official GMAT questions involving integer properties (divisors, factors, remainders, etc.), you'll see that they will typically (always perhaps) limit the discussion to POSITIVE values. This makes matters much clearer.

Cheers,
Brent





Excellent ..!!
Actually It makes it Very Very clear..!!
Its the language that makes the difference.
The question on the Gmat will say "Could be" instead of " must be" and out of those only one would work.

Thanks Brent

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Stone Cold
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If x is divisible by 2, 14, and 11, which of the following must be the 05 Jan 2020, 08:47
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This question is a smart adaptation of a similar question where 'zero' is not one of the answer choices. There, the correct answer choice becomes "B) 154"

Here considering that zero is one of the answer choices, and question stem asks for the least multiple, one must remember that 'zero' is a multiple of every number
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