Add one letter to the word PRICE. Rearrange the letters to make a word meaning "to make a hole in". The added letter is;

a) S
b) E
c) A
d) L

http://dictionary.reference.com/browse/pierce

To solve this question, we need to add one letter to the word "PRICE" and rearrange the resulting letters to form a word that means "to make a hole in".

Let's try adding each letter one by one and see if we can form a valid word:

a) Adding "S" to "PRICE" gives us "PRICES". Rearranging the letters of "PRICES" does not result in a word that means "to make a hole in".

b) Adding "E" to "PRICE" gives us "PRICEE". Rearranging the letters of "PRICEE" does not result in a word that means "to make a hole in".

c) Adding "A" to "PRICE" gives us "PRICEA". Rearranging the letters of "PRICEA" does not result in a word that means "to make a hole in".

d) Adding "L" to "PRICE" gives us "PRICEL". Rearranging the letters of "PRICEL" gives us "CLIPER" which is not a word that means "to make a hole in".

Therefore, none of the options a), b), c), or d) give us a valid word that means "to make a hole in".