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ps- n is an integer

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Intern
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ps- n is an integer [#permalink] New post 06 Oct 2008, 15:10
00:00
A
B
C
D
E

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100% (00:00) correct 0% (00:00) wrong based on 1 sessions
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if n is an integer and n=2 x 3 x5 x7 x11 x 13/77k, then which of the following could be the value of k?

a -22
b- 26
c-35
d- 54
e-60

ans: c
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Re: ps- n is an integer [#permalink] New post 06 Oct 2008, 18:00
are u sure OA is C? ans should be 26
andreasonlinegr wrote:
if n is an integer and n=2 x 3 x5 x7 x11 x 13/77k, then which of the following could be the value of k?

a -22
b- 26
c-35
d- 54
e-60

ans: c
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Re: ps- n is an integer [#permalink] New post 06 Oct 2008, 20:04
Since n=2 x 3 x5 x7 x11 x 13/77k, n= (2*3*5*7*11*13)77k
n= 2*3*5*13*77/77k = 2*3*5*13/k
= 390/k.

Therefore, 390 must be divisible by k w/ no remainder to make k an integer.
The only answer choice that can divide 390 w/ no remainder is 26 or -26.
OA is B
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Re: ps- n is an integer [#permalink] New post 07 Oct 2008, 03:04
andreasonlinegr wrote:
if n is an integer and n=2 x 3 x5 x7 x11 x 13/77k, then which of the following could be the value of k?

a -22
b- 26
c-35
d- 54
e-60

ans: c


n = 2*3*5*7*11*13/7*11k = 2*3*5*13/k thus k could be (2,3,5,13)x, x is a positive intiger or any combination of the same.

b is definitely the answer
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Re: ps- n is an integer [#permalink] New post 07 Oct 2008, 04:10
thank you all !!! it's my mistake. Answer is B
Re: ps- n is an integer   [#permalink] 07 Oct 2008, 04:10
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