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# Is the positive integer n divisable by 24? (1) n is multiple

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Manager
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Is the positive integer n divisable by 24? (1) n is multiple [#permalink]

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02 May 2006, 15:48
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Is the positive integer n divisable by 24?

(1) n is multiple of 4

(2) n is multiple by 6

I'm only interested in how you approach these questions.
Director
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02 May 2006, 17:30
1. Not sufficient, n could be = 8, 16, ... 48

2. Not sufficient, n could be 12, 24, 36, 48

If n is a multiple of 6 and 4, n could be = 24, 48, or could also be = 12

Hence E
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02 May 2006, 17:51
consultinghokie wrote:
Is the positive integer n divisable by 24?

(1) n is multiple of 4

(2) n is multiple by 6

I'm only interested in how you approach these questions.

E.

1) n could be 4, 8, 12 so on, so not suff
2) same concept as 1)

Combined: n could be 12, 24, 36... so no one solution. I like these questions
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02 May 2006, 18:18
(1) Insufficient.

n can be 12, then n is not divisible by 24 but divisible by 4
n can be 24, then n is divisible by both 24 and 4.

(2) Insufficient.
Same reasoning as (1).

Using both (1) and (2)
the LCM of 4 and 6 = 12. So n may or not may not be divisible by 4.

Insufficient.

Ans E
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03 May 2006, 00:32
Agreed E

From 1 n has factors 2x2xA
From 2 n has factors 2x3xB

Thus, when combining, the LCM, 2x2x3xAxB

is A and B are 1 (like in 12)
it satisfies both eq I and eq II, but it is not divisible by 24!

Hence, not enuff Data - E!
03 May 2006, 00:32
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