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Math Expert V
Joined: 02 Sep 2009
Posts: 56260
If a certain number is divisible by 12 and 10, it is NOT necessarily  [#permalink]

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1 00:00

Difficulty:   15% (low)

Question Stats: 77% (00:55) correct 23% (01:05) wrong based on 90 sessions

### HideShow timer Statistics If a certain number is divisible by 12 and 10, it is NOT necessarily divisible by which of the following?

A. 4
B. 6
C. 15
D. 20
E. 24

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Senior Manager  B
Joined: 28 Feb 2014
Posts: 294
Location: United States
Concentration: Strategy, General Management
Re: If a certain number is divisible by 12 and 10, it is NOT necessarily  [#permalink]

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1
If a certain number is divisible by 12 and 10, it is NOT necessarily divisible by which of the following?

let the certain number be 60, which is both divisible by 12 and 10.

60/24 = 5/2

E. 24
Intern  B
Joined: 02 Mar 2017
Posts: 8
Location: United States
Schools: Cox '19, Jindal '19
GMAT 1: 660 Q55 V50 GPA: 3.65
Re: If a certain number is divisible by 12 and 10, it is NOT necessarily  [#permalink]

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Find the LCM (12,10)
12= 2*2*3
10= 2*5
=> LCM= 2*2*3*5 = 60
60 is not divisible by 24. =>E
Veritas Prep GMAT Instructor D
Joined: 16 Oct 2010
Posts: 9446
Location: Pune, India
Re: If a certain number is divisible by 12 and 10, it is NOT necessarily  [#permalink]

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Bunuel wrote:
If a certain number is divisible by 12 and 10, it is NOT necessarily divisible by which of the following?

A. 4
B. 6
C. 15
D. 20
E. 24

When we say a number is divisible by 12, it means it has two 2s and a 3 as factors (12 = 2*2*3)
When we say a number is divisible by 10, it means it has a 2 (which we knew already) and a 5 as factors (10 = 2*5)

So the number must have at least two 2s, a 3 and a 5 as factors.

A. 4 = 2*2 (a factor)
B. 6 = 2*3 (a factor)
C. 15 = 3*5 (a factor)
D. 20 = 2*2*5 (a factor)
E. 24 = 2*2*2*3 (may not be a factor because it needs three 2s)

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Karishma
Veritas Prep GMAT Instructor Re: If a certain number is divisible by 12 and 10, it is NOT necessarily   [#permalink] 04 Jan 2019, 00:42
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# If a certain number is divisible by 12 and 10, it is NOT necessarily  