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'.

Problem: if w is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of w ?
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
c

Problem: among 7 numbers the average of first 4 numbers is 13 and the average of last 4 numbers is 15 . the sum of last 3 numbers is 55 . the square of the fourth number is equal to the last number then what is the last number ?
Options: a ) 60 , b ) 52 , c ) 5 , d ) 25 , e ) 125
d

Problem: how many 1 / 10 s are there in 37 1 / 2 ?
Options: a ) 375 , b ) 475 , c ) 500 , d ) 670 , e ) 700
a