gmatdriller wrote:Jane and George each grew at least one cm in height from February 1 to August 1, 2005.
Did Jane grow more in height than George during that period?
(1)Jane's height was 20 percent greater than George's height on February 1, 2005.
(2)Jane's height was 35 percent greater than George's height on August 1, 2005.
OA is C
Neither statement by itself is sufficient to determine whether Jane grew more then George.
Statements 1 and 2 combined:
In February, if George = 100cm, then Jane = 120 cm.
J : G = 120:100 = 6:5.
In August, if George = 100cm, then Jane = 135cm.
J : G = 135:100 = 27:20 = 54:40.
To change from 6:5 to 54:40, Jane's height must increase by a factor of 9, while George's height increases by a factor of 8:
(
9*6) : (
8*5) = 54:40.
Since Jane's height increases by a greater factor, Jane grew more than George.
SUFFICIENT.
The correct answer is
C.
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