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Is the integer n a multiple of 140? 1) n is a multiple of 10

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Is the integer n a multiple of 140? 1) n is a multiple of 10 [#permalink]

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New post 25 Oct 2008, 13:13
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A
B
C
D
E

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Is the integer n a multiple of 140?

1) n is a multiple of 10

2) n is a multiple of 14

Kudos [?]: 305 [0], given: 5

Senior Manager
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Re: What's the way to do this DS without plugging in numbers? [#permalink]

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New post 25 Oct 2008, 13:16
E

1. Could be 20, 40, 70, 140, 280, 300 etc.. - InSuff
2. Could be 14, 28, 70, 140 etc.. - InSuff

Together

Could be 70, 140, 210, 280 etc... - InSuff

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Re: What's the way to do this DS without plugging in numbers? [#permalink]

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New post 25 Oct 2008, 13:39
bigfernhead wrote:
Is the integer n a multiple of 140?

1) n is a multiple of 10

2) n is a multiple of 14


IS

N = 140X

OBVIOUSLY EACH IS NOT SUFF

BOTH

N= 10Y, N= 14 Z IE: N= 7*2*5 M = 70M , M COULD BE ANYTHING.......INSUFF

E

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Re: What's the way to do this DS without plugging in numbers? [#permalink]

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New post 25 Oct 2008, 15:05
(A) and (B) are clearly not sufficient alone (as shown in other posts)

Now:

factors of 10 --> 2 x 5

factors of 14 --> 2 x 7

LCM (Least Common Multiple) of 10 and 14 = 2 x 5 x 7 = 70 which is not a multiple of 140.

but other multiples like 140, 210 are multiples. We don't have a definite answer here.

Hence the answer is (E)
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Re: What's the way to do this DS without plugging in numbers? [#permalink]

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New post 26 Oct 2008, 03:37
bigfernhead wrote:
Is the integer n a multiple of 140?

1) n is a multiple of 10

2) n is a multiple of 14


n has to have ALL these prime factors to be a multiple of 140 --- 2²*5*7

(1) n has the factors 2 and 5. Insufficient. It could/could not have other factors.

(2) n has the factors 2 and 7. Again insufficient.

(1) and (2)

(1) n -- 2,5
(2) n -- 2,7

the "2" in the 2 statements could be the same 2 or we can have different 2 different 2's. ( 2 many 2's in one sentence !! )

n can have - 2²*5*7 or 2*5*7

Not sufficient. E.

P.S. I hurried and picked up C at first. I need to be more careful :(
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Re: What's the way to do this DS without plugging in numbers? [#permalink]

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New post 27 Oct 2008, 06:35
OA is E. (I went with C as well. Careless mistake)

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Re: What's the way to do this DS without plugging in numbers?   [#permalink] 27 Oct 2008, 06:35
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Is the integer n a multiple of 140? 1) n is a multiple of 10

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