A change of the DNA in an organism that results in a new trait is known as?

Mutation

A group of dog offspring is known as
Litter

Right -- for both.

To find the answer to the first question, "A change of the DNA in an organism that results in a new trait is known as?", we can break down the question and identify the key terms. In this case, the key term is "change of DNA". This leads us to the concept of mutation, which is the process in which the DNA sequence of an organism is altered, resulting in a new or different trait.

For the second question, "A group of dog offspring is known as", we can use our understanding of common terms associated with animals. In this case, when a group of baby dogs is born, it is referred to as a litter. This term is commonly used to describe a group of puppies produced by a female dog (dam) during a single birth.