# CAT2019-1: 86

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$AB$ is a diameter of a circle of radius $5$ cm. Let $P$ and $Q$ be two points on the circle so that the length of $PB$ is $6$ cm, and the length of $AP$ is twice that of $AQ$. Then the length, in cm, of $QB$ is nearest to

1. $7.8$
2. $8.5$
3. $9.1$
4. $9.3$

edited

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