The correct answers are
<span>Beowulf characterizes Grendel as bloodthirsty, but Grendel shows Grendel’s gentler side.
Beowulf is sympathetic to the humans, while Grendel shows the monster’s perspective.
Beowulf is written from the perspective of the Danes and shows Grendel as a monster. In Grendel, we see how he understands the world and get to understand him and his motivation.</span>
Both sentences A and B are capitalized correctly:
Only one solution is possible: We must cut our expenses.
Only one solution is possible: we must cut our expenses.
The first word of both sentences (only) must always be capitalized since it is placed at the beginning.
On the other hand, if the sentence following the colon is dependent (it is incomplete), its first word should not be capitalized. For example:
"I have to buy three things: apples, oranges and bananas."
Regarding capitalization in independent clauses following a colon (such as the one given in the example), it is subject to the citation style the writer is following (APA, MLA, etc). While some styles recommend capitalization of the first word of the sentence, some others do not.
Precious means to have great value or something that is treasured because it is priceless
