Following is OG-11 DS, Que#143:
Q:If m>0, n>0, is (m+x)/(n+x) > m/n?
I : m<n
II : x>0
--------END OF QUESTION STEM----------
If we solve the above question stem , the last two steps are as follows:
nx > mx.......(a)
n > m........(b) [This means the comparision of n and m is independent of x]
so the question stem essentially boils down to following:
IS n > m?
Now If we consider statement labeled 'b' as deduced question stem, then A should be the answer.(As Statement I answers the question stem.)
But, If we consider statement labeled 'a' as deduced question stem, then C should be the answer.(As both statement I and II is required.
What you guys think.[am i missing something here]
I don't know why u r considering nx and mx here. The question is concerned with n+x and m+x.
Having said that. you need both statements to determine whether (m+x)/(n+x) > m/n.
For proper fractions, increasing numerator and denominator by same amount will give u a greater proper fraction.
3/4 < 4/5<5/6. And, if you reduce both numerator and denominator by same amount, you get a smaller proper fraction.
So you need statement 1 to determine whether m/n is a proper fraction. You need statement 2 to determine if you are increasing or decreasing the numerator and denominator.