# GATE ME 2013 | Question: 32

A compound gear train with gears $P$, $Q$, $R$ and $S$ has number of teeth $20$, $40$, $15$ and $20$, respectively. Gears $Q$ and $R$ are mounted on the same shaft as shown in the figure below. The diameter of the gear $Q$ is twice that of the gear $R$. If the module of the gear $R$ is $2$ $mm$, the center distance in $mm$ between gears $P$ and $S$ is

1. $40$
2. $80$
3. $120$
4. $160$

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