CAT Math Practice: Geometry DS, Circles


Question

Do the two circles with centers A and B and radii R and r intersect each other?

Statement (I): AB > R - r
Statement (II): AB > R + r

  1. If the question can be answered with statement I alone but not statement II alone, or can be answered with statement II alone but not statement I alone
  2. If the question cannot be answered with statement I alone or with statement II alone, but can be answered if both statements are used together
  3. If the question can be answered with either statement alone
  4. If the question cannot be answered with the information provided

Explanatory Answer

Statement (I): AB > R - r
Not enough. May intersect, may be “parallel” or "disjoint".

Statement (II): AB > R + r
SUFFICIENT. Circles cant intersect. Have to be separate.

Answer Choice (A)




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