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: company z has 53 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday . 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 11 , e ) 12
d

Problem: a box contains 9 apples , 8 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
c

Problem: how many positive integers less than 15 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ? 
Options: a ) 14 , b ) 13 , c ) 12 , d ) 8 , e ) 10

d