In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Q: Problem: if 12 : 8 : : x : 16 , then find the value of x 
Options: a ) 18 , b ) 24 , c ) 28 , d ) 16 , e ) 20

A: b
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Q: Problem: if an integer n is to be chosen at random from the integers 1 to 92 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ? 
Options: a ) 1 / 4 , b ) 3 / 8 , c ) 1 / 2 , d ) 29 / 46 , e ) 3 / 4

A: d
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Q: Problem: in n is a positive integer less than 200 , and 24 n / 60 is an integer , then n has how many different positive prime factors ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 8

A:
a
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