In this task, you need to provide the correct option for a given problem from the provided options.

Q: Problem: a certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 42232 , b ) 42170 , c ) 14008 , d ) 16510 , e ) 41160

A: e
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Q: Problem: how many kilograms of pure water is to be added to 100 kilograms of a 30 % saline solution to make it a 10 % saline solution . 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500

A: b
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Q: Problem: a number is said to be prime saturated if the product of all the different positive prime factors of q is less than the square root of q . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95

A:
d
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