gmat prep problem greater then less then

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gmat prep problem greater then less then

by HPengineer » Mon Jan 03, 2011 6:12 pm
is 1/(a-b) < b - a?

st1 a < b

st2 1 < absolute value of (a - b)


so statement 1 i was able to prove by picking values


meeting condition of a<b

a = 3 and b = 4

so 1/(3 - 4) =-1 < 4-3

then a = 1/4 and b = 3/4

we get 2 < some fraction which proves st1 not sufficient


my confusion comes in on second statement which basically says that a -b is a number bigger then 1... does this mean that because its not a fraction the left side 1/(a-b) will always be less then b-a?

what if a-b is a mixed number which is possible since we are not constrained to integers?

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by bblast » Tue Jan 04, 2011 2:23 am
In short the second statement says that the absolute difference between A and B is positive.(which means nothing at all)

As per 2 : A and B can attain any integer values, a can be 999999999999, b can be -9999999999 or vice versa, no matter what... this statement does not give us idea abt the values of a and b.

hence insufficient

statement 1 tells us that a-b is negative.
or a<b
thus the inequality in question is sufficed (as the left side of inequality becomes negative with this statement)

I would say plugging in numbers is not the best approach in all problems, maybe an expert will highlight ur mistake further

answer is A
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