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Is the integer n a multiple of 15? 1) n is a muliple of 20

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Is the integer n a multiple of 15? 1) n is a muliple of 20 [#permalink] New post 13 Nov 2008, 04:30
Is the integer n a multiple of 15?

1) n is a muliple of 20

2) n +6 is a multiple of 3
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Re: PROB PREP 8 OF 37 [#permalink] New post 13 Nov 2008, 04:57
C.

From stmt1: n has 5 as one of the factors.
From stmt2: n has 3 as one of the factors.

Combining both, n is divisible by 15.
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Re: PROB PREP 8 OF 37 [#permalink] New post 13 Nov 2008, 06:12
scthakur wrote:
C.

From stmt1: n has 5 as one of the factors.
From stmt2: n has 3 as one of the factors.

Combining both, n is divisible by 15.


agreed :)
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Re: PROB PREP 8 OF 37 [#permalink] New post 13 Nov 2008, 11:30
1) n= 20,40,60,80,100,120 and so on may be may be not
2)n=0,3,6,9,12,15 and so on again may be may be not
combining possible values of n= 60,120,180 divisibility by 15 yes
IMO C :-D
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Re: PROB PREP 8 OF 37 [#permalink] New post 30 Nov 2008, 20:33
That's the answer I got, but I ended plugging in numbers. Can you explain your method? I need help on factoring.

scthakur wrote:
C.

From stmt1: n has 5 as one of the factors.
From stmt2: n has 3 as one of the factors.

Combining both, n is divisible by 15.
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Re: PROB PREP 8 OF 37 [#permalink] New post 30 Nov 2008, 22:20
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bigfernhead wrote:
That's the answer I got, but I ended plugging in numbers. Can you explain your method? I need help on factoring.

scthakur wrote:
C.

From stmt1: n has 5 as one of the factors.
From stmt2: n has 3 as one of the factors.

Combining both, n is divisible by 15.


we have to find if n is divisible by 15 or not.

for a number to be divisible by 15 it needs 3*5 as factors.

1) tells us that 5*4 are factors (but no 3)
2) tells us that 3 is a factor. (but no 5)

together we know that 5*3 both are factors
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Re: PROB PREP 8 OF 37 [#permalink] New post 01 Dec 2008, 14:10
i get C too...here is how.

stmnt 2 says n-6=3M so n=3m-6 or n=3(M-2) where M is some integer

n/3= m-2 or some integer..so N must be a mutiple of 3 ..stmnt says n is also multiple of 5
Re: PROB PREP 8 OF 37   [#permalink] 01 Dec 2008, 14:10
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Is the integer n a multiple of 15? 1) n is a muliple of 20

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