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Re: If the integers a and n are greater than 1 and the product o [#permalink]

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11 Oct 2005, 18:33

the product of first 8 positive integers is 1.2.......8 , this includes 2.4.8= 64 ---> (1) is ok.
(1) a^n= 64, there are several cases:
2^6, 4^3, 8^2 ----> (1) alone is insuff
(2) n=6 , say nothing
if (1) and (2) together, a^6=64---> a=2
C?

Re: If the integers a and n are greater than 1 and the product o [#permalink]

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12 Oct 2005, 06:30

I get B. This is why.

1. insuff. a^n=64, a=n=8 or a=2 n=6

2. suff. Because we know that 8! is multiple of a^n means that 8! has to be evenly divided by a^n. If n=6 and we know that a>1, then we know that a=2 for 8! to be divisible by a^n. I broke it down like this:

8*7*6*5*4*3*2*1=b(a^6), where b is some multiple and it has to be an integer for it to be a multiple. If a=2, then 8! is evenly divided by 2^6, but any number above 2 will not work.

Re: If the integers a and n are greater than 1 and the product o [#permalink]

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12 Oct 2005, 06:35

1

This post received KUDOS

chriswil2005 wrote:

I get B. This is why.

1. insuff. a^n=64, a=n=8 or a=2 n=6

2. suff. Because we know that 8! is multiple of a^n means that 8! has to be evenly divided by a^n. If n=6 and we know that a>1, then we know that a=2 for 8! to be divisible by a^n. I broke it down like this:

8*7*6*5*4*3*2*1=b(a^6), where b is some multiple and it has to be an integer for it to be a multiple. If a=2, then 8! is evenly divided by 2^6, but any number above 2 will not work.

Re: If the integers a and n are greater than 1 and the product o [#permalink]

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12 Oct 2005, 07:26

1

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fresinha. Thanks for the encouragement. However, I have already taken that darn test (I vow to never say the name again) and I can't seem to get in the 40s. Practice tests, sure no problem, but the real test just makes me nervous.

I take the test again in couple weeks. _________________

Re: If the integers a and n are greater than 1 and the product o [#permalink]

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12 Oct 2005, 14:11

this time it will be different....

look I scored 49 Q on this CAT, and this was one of the hardest problems on it...so if you can do this...you are going to score high...trust me....

just dont loose your nerves....

chriswil2005 wrote:

fresinha. Thanks for the encouragement. However, I have already taken that darn test (I vow to never say the name again) and I can't seem to get in the 40s. Practice tests, sure no problem, but the real test just makes me nervous.

Re: If the integers a and n are greater than 1 and the product o [#permalink]

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29 Jul 2014, 22:36

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

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