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Bunuel

What are the coordinates of point S?

(1) The slope of OS is 1/3
(2) The slope of ST is 1/2

Coordinate of S is where both lines, OS and ST, meet

(1) The slope of OS is 1/3 insufic

y=mx+b: y=x/3+b
point (0,0): 0=0+b
Line OS: y=x/3

(2) The slope of ST is 1/2 insufic

y=mx+b: y=x/2+b
point (5,0): 0=5/2+b, b=-2.5
Line ST: y=x/2-2.5

(1&2) sufic

Line ST = Line OS
x/2-2.5=x/3
-x=6*-2.5
x=15, y=15/3=5

Ans (C)
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