Problem: From among 21/2,31/3,81/8,91/9 those which have the greatest and the next to the greatest values in that order, are
Answer Choices:
A. 31/3,21/2
B. 31/3,81/8
C. 31/3,91/9
D. 81/8,91/9
E. None of these
Solution:
First note that (21/2)6=8<(31/3)6=9 so that 21/2<31/3. Also (21/3)18=29=512>(91/9)18=81 so that 21/3>91/3, and 21/3>81/2=23/2. Hence 31/3,21/2 have the greatest and next to the greatest values in that order.