Social Distancing with Data Sufficiency Challenge! – Day 11

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This series is designed to help you step up your Data Sufficiency practice while we all spend a little extra time at home during the coronavirus situation; I’m going to publish one practice Data Sufficiency question each day! You can choose to do all of them, or none of them. 

Click on the tag “Social Distancing DS Challenge” at the bottom of this post to see all of the questions in this series! 

And remember to take whatever precautions you need to stay healthy over the next few weeks! 


Question #11

A rope has four knots labeled A, B, C, and D, in that order. What is the rope distance between knots B and C?

(1) The rope distance between knots A and C is 5 feet.

(2) The rope distance between knots B and D is 7 feet.


Explanation

Neither of the statements alone is sufficient. It may be tempting to think that together the statements can answer the question — by subtracting the two distances. Even combined, however, the information is insufficient.

We have no information about the distances between A and B or between C and D. If you’re having a tough time understanding this one, try drawing a couple examples where the distance of BC varies even when AC is 5 and BD is 7 to prove it. The correct answer is (E).