GMAT Prep DS4

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GMAT Prep DS4

by ri2007 » Sun Nov 11, 2007 3:42 pm
If the integers a and n are greater than 1 and the product of the first 8 positive integers is a multiple of a^n what is the value of a

1) a^n = 64
2) n = 6

OA - B
Source: — Data Sufficiency |

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Re: GMAT Prep DS4

by jayhawk2001 » Sun Nov 11, 2007 10:13 pm
ri2007 wrote:If the integers a and n are greater than 1 and the product of the first 8 positive integers is a multiple of a^n what is the value of a

1) a^n = 64
2) n = 6
1 - insuf.
2^6, 4^3, 8^2 all of them yield a value of 64

2 - suf.
8! = x * a^6
Breaking down 8! into its factors,
2*3*4*5*6*7*8 = 2^7 * 3^2 * 5 * 7
'a' has to be 2

Hence B