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GMAT Symbols http://www.800score.com/forum/viewtopic.php?f=3&t=2432 
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Author:  Gennadiy [ Mon Jan 30, 2012 6:00 pm ] 
Post subject:  GMAT Symbols 
Let a be a positive integer. Let n # a equal n²ª if a is odd and n³ª if a is even. Then (2 # 3) + (3 # 2) – (3 # 3) is equal to A. 64 B. 82 C. 128 D. 512 E. 1522 (A) Let's calculate expressions within brackets first. (2 # 3) corresponds to (n # a), where n = 2, a = 3. Since 3 is odd, then the we use formula n²ª to calculate the result. It equals 2 to the (2 × 3)th power, which can be calculated as (2³)² = 8² = 64. (3 # 2) corresponds to (n # a), where n = 3, a = 2. Since 2 is even, then the we use formula n³ª to calculate the result. It equals 3 to the (3 × 2)th power, which can be calculated as (3²)³ = 9³ = 81 × 9 = 729. (3 # 3) corresponds to (n # a), where n = 3, a = 3. Since 3 is odd, then the we use formula n²ª to calculate the result. It equals 3 to the (2 × 3)th power, which can be calculated as (3²)³ = 9³ = 81 × 9 = 729. Therefore (2 # 3) + (3 # 2) – (3 # 3) = 64 + 729 – 729 = 64. 
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