DIRECTIONS for Questions: Answer the questions on the basis of the following information.
Recently, the answers of a test held nationwide were leaked to a group of unscrupulous people. The investigative agency has arrested the mastermind and nine other people A, B, C, D, E, F, G, H, and I in this matter. Interrogating them, the following facts have been obtained regarding their operation. Initially the mastermind obtains the correct answer-key. All the others create their answer-keys in the following manner. They obtain the answer key from one or two people who already possess the same. These people are called his/her "sources". If the person has two sources, then he/she compares the answer-keys obtained from both sources. If the key to a question from both sources is identical, it is copied, otherwise it is left blank. If the person has only one source, he/she copies the source's answers into his/her copy. Finally, each person compulsorily replaces one of the answers (not a blank one) with a wrong answer in his/her answer key.
The paper contained 200 questions; so the investigative agency has ruled out the possibility of two or more of them introducing wrong answers to the same question. The investigative agency has a copy of the correct answer key and has tabulated the following data. These data represent question numbers.
Name |
Wrong Answer(s) |
Blank Answer(s) |
A |
46 |
-- |
B |
96 |
46, 90, 25 |
C |
27, 56 |
17, 46, 90 |
D |
17 |
-- |
E |
46 90 |
-- |
F |
14,46 |
92,90 |
G |
25 |
--- |
H |
46, 92 |
--- |
I |
27 |
17, 46, 90 |
How many people (excluding the mastermind) needed to make answer-keys before C could make his answer-key?