In this task, you need to provide the correct option for a given problem from the provided options.
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Question: Problem: the hcf of two numbers is 23 and the other two factors of their lcm are 13 and 14 . what is the largest number ? 
Options: a ) 280 , b ) 284 , c ) 292 , d ) 320 , e ) 322

Answer: e


Question: Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 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 4 candidates are there to fill the 4 positions ? 
Options: a ) 420 , b ) 770 , c ) 840 , d ) 165 , e ) 315

Answer: c


Question: Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 2 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? 
Options: a ) 18 , b ) 16 , c ) 32 , d ) 56 , e ) 60

Answer:
b