In an HSRP (Hot Standby Router Protocol) configuration, if there is no priority configured on the routers, the following statement is correct:
The first router to boot up will be the active router.
Here’s a brief explanation of the other options:
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Both routers will be in the listen state. - This is incorrect because one router will become active and one will be in standby, assuming they are configured correctly for HSRP.
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Both routers will be in the standby state. - This is incorrect because one router will assume the active role.
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Both routers will be in the active state. - This is incorrect because only one router can be active at a time in an HSRP group.
So, the correct conclusion is that the first router to boot up becomes the active router, and the other will be in standby.