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Re: If the integers a and n are greater than 1 and the product o [#permalink]
11 Oct 2005, 17:33
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]
12 Oct 2005, 05:30
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]
12 Oct 2005, 05:35
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]
12 Oct 2005, 06:26
1
This post received KUDOS
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]
12 Oct 2005, 13:11
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]
29 Jul 2014, 21:36
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).
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