instruction:
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'.
question:
Problem: on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number y of races we need to conduct to get the top 3 fastest horses ?
Options: a ) 5 , b ) 7 , c ) 8 , d ) 10 , e ) 11
answer:
b

question:
Problem: find the ones digit of 73 ^ 356
Options: a ) 1 , b ) 5 , c ) 6 , d ) 7 , e ) 9
answer:
a

question:
Problem: if p is the product of the integers from 1 to 32 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ?
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
answer:
c