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a real GMAT seed

by sanju09 » Sat Mar 07, 2009 4:53 am
if x and y are integers such that x not equal to y, at least how many solutions exist for following equation:

x^y + y^x = n such that n is an integer variable belonging to [1000, 1099]

A. 100
B. 200
C. 250
D. 350
E. 450

main question: [spoiler]What should be the OA to this problem if it were a real GMAT seed?[/spoiler]
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by DanaJ » Sat Mar 07, 2009 8:07 am
Well, you could have 1000^1 + 1^1000, 1001^1 + 1^1001..... and the opposite set 1^1000 + 1000^1, 1^1001 + 1001^1,..... These two sets make for 200 numbers. Since I doubt that there will be more numbers that fit that equation (especially not anothe 50 numbers), then I'd go for B

You should consider posting OA's for your questions. IMHO, it's just polite to do so.
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