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Many Improved Familiars (e.g. ratling, imp, faerie dragon) have spell like abilities (SLAs). In each's default monster listing, it lists a caster level (CL) for them, e.g. (from ratling)

Spell-Like Abilities (CL 6th; concentration +7)

Familiar Basics changes a number of things for creatures that become familiars, including

Hit Dice: For the purpose of effects related to number of Hit Dice, use the master's character level or the familiar's normal HD total, whichever is higher.

Does this increased HD get used as the CL for the familiar's SLAs? Or does the CL always stay whatever's listed in the familiar's default stat block?

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While unable to find anything that says yay or nay conclusively, the SLAs of a Gnome are tied to his character level. As PCs have character level = Hit dice(Level adjustment not-withstanding), and since Familiars have increased HD, I would strongly believe so.

In addition, http://paizo.com/threads/rzs2onib?Improved-Familiar-SLAs-Caster-Level, agrees with the interpretation that increased HD for familiars increases CL.

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