GMAT Prep Test 2

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dsuna: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Sat Mar 17, 2007 7:35 pm

by dsuna » Mon Mar 26, 2007 12:14 pm

For any positive integers n, the length of n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3x5x5. How many two-digit positive integers have length 6?

Ans. Two

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Source: Beat The GMAT — Problem Solving | Mon Mar 26, 2007 12:14 pm

800GMAT: Master | Next Rank: 500 Posts; Posts: 174; Joined: Mon Mar 26, 2007 5:51 am; Thanked: 1 times

by 800GMAT » Mon Mar 26, 2007 1:18 pm

The answer is 2

64= 2.2.2.2.2.2
94= 2.2.2.2.2.3

Any other combination of powers of 2 and 3 gives a three digit number.

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Cybermusings: Legendary Member; Posts: 559; Joined: Tue Mar 27, 2007 1:29 amFollowed by: 2 members; Thanked: 5 times

by Cybermusings » Tue Mar 27, 2007 4:04 am

800GMAT's explanation is fine...Except that it's 96 and not 94

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