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# Ds - 1000Q

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Director
Joined: 05 Feb 2006
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16 Oct 2006, 11:39
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I often fail on these simple type of questions... simply adding values does not work for me... Can anybody show a clear principle, how to efficiently solve these type of questions:

Is the integer n a multiple of 140

1) n is a multiple of 10
2) n is a multiple of 14
SVP
Joined: 05 Jul 2006
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16 Oct 2006, 11:43
Is the integer n a multiple of 140

1) n is a multiple of 10
2) n is a multiple of 14

rephrase

is n = 140k

from one

n= 10z.....insuff

from two

n = 14 r....insuff

both together

n has 2,7,5 ( eg n = 2*7 r and r is a multiple of 5 and or n = 2*5 z and z is a multiple of 7 )

so all we know that 2,5,7 are among the prime factors of n ie = 70L......INSUFF

Last edited by yezz on 16 Oct 2006, 11:50, edited 1 time in total.
Senior Manager
Joined: 30 Aug 2006
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16 Oct 2006, 11:48
LCM of 10 & 14

10 - 2,5
14 - 2,7

2*5*7 = 70

so no INSUFF
Director
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16 Oct 2006, 12:07
Ok clearer now...

so if the question would ask is n a multiple of 12

1)n is a multiple of 4
2)n is a multiple of 3

this would be C, right?
SVP
Joined: 05 Jul 2006
Posts: 1743
Followers: 6

Kudos [?]: 316 [0], given: 49

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16 Oct 2006, 12:09
100% right
16 Oct 2006, 12:09
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