Directions (96-100) : Study the following information carefully and answer the questions given below.

Seven persons go to Shimla on seven different days from Monday to Sunday. Two persons go between A and B who goes after Thursday. C goes just before A. The number of persons goes before C is one less than the number of persons goes after D. G goes three persons before F and goes after E. At least one person goes before E.

Which among the following statement(s) is/are true?
I. G goes after C
II. No one goes after F
III. More than three persons go between A and D

The correct option is Both I and II.

Step-by-step Explanation:

We are given seven days from Monday to Sunday and seven persons: A, B, C, D, E, F, and G.

Step 1: Determine the positions of B, A, and C

B goes after Thursday, which means B can go on Friday, Saturday, or Sunday.
There are two persons between A and B, and C goes just before A.

Let's test B on Friday:
- B goes on Friday.
- Two persons go between A and B, so A goes on Tuesday.
- C goes just before A, so C goes on Monday.

Step 2: Determine the position of D

The number of persons going before C is one less than the number of persons going after D.
Number of persons before C (Monday) = 0.
Therefore, the number of persons after D must be:
$0+1=1$
Since 1 person goes after D, D must go on Saturday.

Step 3: Determine the positions of G, F, and E

G goes three persons before F (which means G is 3 places above F).
The remaining vacant days are Wednesday, Thursday, and Sunday.
If F goes on Sunday, then G must go 3 days before F, which is Thursday.
Now, E must go on the remaining day, which is Wednesday.

Let's verify the conditions for E and G:
- G (Thursday) goes after E (Wednesday), which is true.
- At least one person goes before E (Monday and Tuesday go before E), which is also true.

Final Day-wise Schedule:

Monday: C
Tuesday: A
Wednesday: E
Thursday: G
Friday: B
Saturday: D
Sunday: F

Step 4: Evaluating the Given Statements

Statement I: G goes after C
G goes on Thursday and C goes on Monday. Since Thursday comes after Monday, Statement I is True.

Statement II: No one goes after F
F goes on Sunday, which is the last day. Hence, no one goes after F. Statement II is True.

Statement III: More than three persons go between A and D
A goes on Tuesday and D goes on Saturday. The persons between A and D are E, G, and B, which is exactly 3 persons (not more than 3). Statement III is False.

Therefore, statements I and II are true.