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-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, 26, 90
|
How many people (excluding the mastermind) needed to make answer before C could make his answer key?
- $2$
- $3$
- $4$
- $5$