We have to find if cf > fg or cf < fg.grandh01 wrote:Which is greater cf or fg?
1) c>g
2) f^2= cg
OA IS E
(1) c > g
If f is a positive integer, then multiplying both sides by f gives, fc > fg
If f is a negative integer, then multiplying both sides by f gives, fc < fg
No definite answer; NOT sufficient.
(2) f² = cg does not imply if cf > fg or cf < fg. See the following examples
If f = 2, c = 1, g = 4, then cf = 2 and fg = 8. Here, cf < fg
If f = 2, c = 4, g = 1, then cf = 8 and fg = 2. Here, cf > fg
No definite answer; NOT sufficient.
Combining (1) and (2),
If f = -2, c = 4, g = 1, then cf = -8 and fg = -2. Here, cf < fg
If f = 2, c = 4, g = 1, then cf = 8 and fg = 2. Here, cf > fg
No definite answer; NOT sufficient.
The correct answer is E.
