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What is the difference between the lengths of diagonals

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by sachin_yadav » Tue Mar 22, 2016 4:51 am
What is the difference between the lengths of diagonals of parallelogram ABCD (BD>AC)?


(1) AB−BC=2

(2) ∠ABC=30 degrees

OA is E
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Source: — Data Sufficiency |
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by sachin_yadav » Thu Mar 24, 2016 9:38 am
How to get this one ?
sachin_yadav wrote:What is the difference between the lengths of diagonals of parallelogram ABCD (BD>AC)?


(1) AB−BC=2

(2) ∠ABC=30 degrees

OA is E
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by [email protected] » Thu Mar 24, 2016 2:55 pm
Hi sachin_yadav,

This DS question is a 'concept' question - you don't have to really do any 'math' to solve it, but you do need to understand the concepts involved. We know that we're dealing with a parallelogram and we're asked for the difference in the lengths of the two diagonals within that shape. To answer this question, we need to know the exact lengths of the sides AND the angles within this shape.

1) Tells us the difference in the sides, but NOT the exact side lengths and NOT the angles.
Fact 1 is INSUFFICIENT

2) Tells us the angles in the shape, but NOT the exact side lengths.
Fact 2 is INSUFFICIENT

Combined, we know...
The difference in the sides, but NOT the exact side lengths
The angles

As the side lengths become proportionately bigger, the difference between them will also become proportionately bigger. Thus, there are an unlimited number of answers to this question.
Combined, INSUFFICIENT

Final Answer: E

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