CAT Quant Practice Problems

Question: In the adjoining figure I and II, are circles with P and Q respectively, The two circles touch each other and have common tangent that touches them at points R and S respectively. This common tangent meets the line joining P and Q at O. The diameters of I and II are in the ratio 4 : 3. It is also known that the length of PO is 28 cm.

The length of SO is

\(8\sqrt 3\;cm\)
\(10\sqrt 3\;cm\)
\(12\sqrt 3\;cm\)
\(14\sqrt 3\;cm\)
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