Soham was waiting for the offer letter and _________ the offer as soon as it was made since it was too good to miss out.

jumped at (a)    is correct as “jumped at” means “to accept something enthusiastically”. (b)   is incorrect as “jumped around” means “to be very enthusiastic” (c)    is incorrect as “jumped off” is a phrasal verb that indicates “to move from an elevated place to a less elevated place by jumping” (d)   is incorrect as “jumped on” is a phrasal verb that indicates “onboarding a vehicle” or “attacking verbally” (e)    is incorrect as “jumped down” is a phrasal verb that indicates “to move from an elevated place to a less elevated place by jumping” – same as (c)