Variable vs Constant Specific Heat

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BuffaloWings

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How should someone decide when looking at a problem on the PE Exam if they should solve the problem using variable or constant specific heats. 
 

There have been some practice problems where they have not identified a Cold Air Ideal or Standard assumptions and I used the variable specific heat method but calculated the wrong answer because they used constant specific heat. 

 
There have been some practice problems where they have not identified a Cold Air Ideal or Standard assumptions and I used the variable specific heat method but calculated the wrong answer because they used constant specific heat. 
That would be a poorly crafted problem. Can you share the problem statement (don't reveal the source)?

 
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