Answer:  The correct option is
(C) 26.
Step-by-step explanation: Given that in a certain quiz that consists of  10 questions, each question after the first is worth 4 points more than the preceding question. 
All  the 10 questions on the quiz are worth a total of 360 points.
We are to find the worth of the third question in points.
Since each question after the first is worth 4 points more than the preceding question, so this will make an arithmetic sequence with
first term a, common difference, d = 4  and number of terms, n = 10.
We know that, in an A.P. with first term a and common difference d,

According to the given information,

Therefore, the third term of the sequence is

Thus, the third question worth 26 points. 
Option (C) is CORRECT.