PROMPT ANALYSIS

x and y are real numbers.

SUPERSET

The answer will be either yes or no.

Translation

In order to find the answer we need:

1# exact value of x and y

2# any equation to conclude the condition

STATEMENT ANALYSIS

ST 1: x+y = 2. Take the value of (x, y) = (1,1), (1.5,0.5) and (0.5, 1.5). For these set of values, the condition the different in each case.INSUFFICIENT. HEnce option a and d eliminated

St 2: x>y. Take (x,y) = (2,-1) and (1,-2). Both the cases have different answer.INSUFFICIENT. Option b eliminated.

St 1 & St 2: Combining both, we get x>1. Therefore, for all values that suffice the 1st equation, y<1, hence x^2>y^2.

Option C

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