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Symbol highest values

by karthikpandian19 » Wed Jan 04, 2012 9:40 pm
If A @ B = A+B if A > B, and A @ B = B - A if A < B, then which of the following is the highest for
(1/x @ 1/y) @ (1/y @ 1/x)
A. X = 1/2 and Y = 1/3
B. X = 1/3 and Y = 1/4
C. X = 1/4 and Y = 1/5
D. X = 1/5 and Y = 1/4
E. X = 1/4 and Y = 1/2
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by rijul007 » Wed Jan 04, 2012 10:24 pm
karthikpandian19 wrote:If A @ B = A+B if A > B, and A @ B = B - A if A < B, then which of the following is the highest for
(1/x @ 1/y) @ (1/y @ 1/x)
A. X = 1/2 and Y = 1/3
B. X = 1/3 and Y = 1/4
C. X = 1/4 and Y = 1/5
D. X = 1/5 and Y = 1/4
E. X = 1/4 and Y = 1/2

A. X = 1/2 and Y = 1/3
(1/x @ 1/y) @ (1/y @ 1/x)
(2@3)@(3@2) = 1@5 = 4

B. X = 1/3 and Y = 1/4
(1/x @ 1/y) @ (1/y @ 1/x)
(3@4)@(4@3) = 1@7 = 6

C. X = 1/4 and Y = 1/5
(1/x @ 1/y) @ (1/y @ 1/x)
(4@5)@(5@4) = 1@9 = 8

D. X = 1/5 and Y = 1/4
(1/x @ 1/y) @ (1/y @ 1/x)
(5@4)@(4@5) = 9@1 = 10

E. X = 1/4 and Y = 1/2
(1/x @ 1/y) @ (1/y @ 1/x)
(4@2)@(2@4) = 6@2 = 8

Option D
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by karthikpandian19 » Thu Jan 05, 2012 9:21 pm
OA is D
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