Data Sufficiency Pack 2, Question 4) On a number line...

very good question and I will provide my solution

the question states that a b and c are in that order in the number line and so the question asks us whether a*b>b*c

so now we could do this using a diagram with the number line and ploting, pluging numbers for different scenarios or well by using logic.

I went by using a bit mix of both. here it goes.

Statement 1 says that C>0 or well c is positive. This is insufficient because we know nothing about a and b and about the relative distances with respect to each one and to 0

---------------------------------------- 0 --------------------------
a____ b___c; or a__b___________c this showing relative distances and asuming all are right to 0

additionally a also could be negative or b could be negative or even 0 thereby giving us different solutions.

Statement 2 is more subtle but again inufficient and we can prove this through counter example

------------------------
0
a b c

------------------------
0
a b c

------------------------
0
a b c


These diagrams tell us that the product of b and c is not positive, meaning it could be negative or EVEN ZERO and above all we know nothing about a with respect to b. If c is 0 then a and b are negative and thus their prduct be greater than that of b and c but if B is 0 then the product is the same


COMBINING BOTH STATEMENTS STILL ARE INSSUFICIENT AND THUS ANSWER IS E

Using the same scenarios described before, we can have a * b = b * c if b is 0 or a * b > b * c if b is negative.

Hope you like my explanation

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