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: 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
answer:
c


question:
Problem: if a ( a - 2 ) = 2 and b ( b - 2 ) = 2 , where a ≠ b , then a + b = 
Options: a ) − 1 , b ) − 2 , c ) 4 , d ) 46 , e ) 48
answer:
a


question:
Problem: if p # q denotes the least common multiple of p and q , then w = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ? 
Options: a ) 216 , b ) 180 , c ) 144 , d ) 108 , e ) 72
answer:

c