In this question, we are to find out if x>0. Since x = 5-y, the question becomes “Is 5-y>0?” which can be simplified to “Is 5>y?” or “Is y<5?”.
So, the question we are trying to answer is “Is y<5?”.
From statement I alone, x>5+y. Substituting the value of x, we have 5-y > 5+y which gives us 2y<0 on simplification. Since 2 is a positive value, the only way in which 2y is less than ZERO is if y<0. So, from statement I alone, y<0. This essentially means y<5 as well.
Statement I is sufficient to answer the question. Answer options B, C and E can be eliminated. Possible answer options are A or D.
From statement II alone, y<0. Clearly, if y<0, y has to be less than 5. Statement II alone is sufficient.
Answer option A can be eliminated.
The correct answer option is D.
Use the question data and the question stem to rephrase the question asked, to a simpler question. The rephrased question will tell you what to look for in the statements.
Here are a few Quant resources for your reference:
8 Solid Ways To Get A 50-51 Raw Score In GMAT QuantThe Ultimate Guide to GMAT InequalitiesHope that helps!
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