If #p and q# are positive integers with #pq = 36,# then #p/q# cannot be.... ? A. 1/4 B. 4/9 C. 1 D. 2 E. 9
1 Answer
Aug 22, 2017
D
Explanation:
Note that
All options except D are perfect squares:
A
#1/4 = (1/2)^2# B
#4/9 = (2/3)^2# C
#1 = 1^2# E
#9 = 3^2#
D
Alternatively, we can fairly quickly find:
A
#1/4 = 3/12# B
#4/9 = 4/9# C
#1 = 6/6# E
#9 = 18/2#