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Explanation:

Radius of circle II = 1.5 × 2 = 3 cm.

Hence, option (b).

Alternately,
We can solve this question and the previous question together using options as follows:

Consider each of the options in this question.

Option (a): If the radius of circle II is 2, the radius of I is 8/3. PQ is then 14/3 and OQ is 70/3.
∴ PQ : OQ = 1 : 5, which is not there in the options of the previous question.

Option (b): If the radius of circle II is 3, the radius of I is 4. PQ is then 7 and OQ is 21.
∴ PQ : OQ = 1 : 3, which is there in the options of the previous question. This is possible.

Option (c): If the radius of circle II is 4, the radius of I is 16/3. PQ is then 28/3 and OQ is 56/3.
∴ PQ : OQ = 1 : 2, which is not there in the options of the previous question.

Option (d): If the radius of circle II is 5, the radius of I is 20/3. PQ is then 35/3 and OQ is 49/3.
∴ PQ : OQ = 5 : 7, which is not there in the options of the previous question.

∴ The radius of circle II is 3 and PQ : OQ = 1 : 3

Hence, option (b).