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.

If the position of D and G interchanged then who among the following will go three persons before G?

The correct answer is E.

Let us step-by-step determine the order of seven persons going to Shimla from Monday to Sunday:

1. The days of the week are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.

2. B goes after Thursday. Therefore, B can go on either Friday, Saturday, or Sunday.

3. Two persons go between A and B, and C goes just before A.

Let us test the possible positions for B:

Case 1: B goes on Friday
If B is on Friday, then A must be on Tuesday (since two persons go between A and B).
Since C goes just before A, C goes on Monday.
Now, the number of persons going before C is 0 (since C is on Monday).
According to the condition, the number of persons going before C is one less than the number of persons going after D.
So, the number of persons going after D must be 1 (0 = 1 - 1), which places D on Saturday.
Now, G goes three persons before F (meaning G is 3 days before F, so there are 2 persons between G and F).
The available days for G and F would be Wednesday and Sunday respectively (G on Wednesday, F on Sunday).
Remaining day is Thursday for E.
Let us check the condition for E: "At least one person goes before E." Since E is on Thursday, 3 persons go before E, which satisfies "at least one person".
Also, "G goes after E" must be checked. Here E is on Thursday and G is on Wednesday, which violates "G goes after E". Thus, Case 1 is invalid.

Case 2: B goes on Saturday
If B is on Saturday, then A must be on Wednesday.
Since C goes just before A, C goes on Tuesday.
Number of persons before C is 1 (Monday).
So, the number of persons after D must be 2 (1 = 2 - 1), placing D on Friday.
Now, G goes three persons before F (G is 3 days before F, i.e., G _ _ F).
The available positions for (G, F) are Monday and Thursday (G on Monday, F on Thursday).
The remaining person E must go on Sunday.
Check condition: "G goes after E." Here G is on Monday and E is on Sunday, so G is before E, which violates the condition. Thus, Case 2 is invalid.

Case 3: B goes on Sunday
If B is on Sunday, then A must be on Thursday.
Since C goes just before A, C goes on Wednesday.
Number of persons before C is 2 (Monday, Tuesday).
So, the number of persons after D must be 3 (2 = 3 - 1), placing D on Thursday.
However, Thursday is already occupied by A. So this case is invalid if D is on Thursday.

Let us re-evaluate Case 1 with G and F placement or check alternative arrangements:

Let us place B on Sunday:
If B = Sunday, then A = Thursday, C = Wednesday.
Number of persons before C = 2.
Number of persons after D must be 3 ⇒ D = Thursday (Conflict with A).

Let us re-check Case 2:
If B = Saturday, A = Wednesday, C = Tuesday.
Persons before C = 1 ⇒ Persons after D = 2 ⇒ D = Friday.
Available days: Monday, Thursday, Sunday.
If E = Monday, G = Thursday, F = Sunday (G is 3 persons before F, i.e., Thursday is 3 days before Sunday: Fri, Sat, Sun → 3 days after).
Let's check if G is on Thursday and F is on Sunday:
- E goes on Monday (At least one person before E? Wait, if E is Monday, 0 persons before E, but condition says "At least one person goes before E").
Wait! What if E is on Tuesday? But C is on Tuesday.
Let us check: E on Tuesday, C on Monday?
Let me re-verify: "C goes just before A."

Let me re-check the schedule where E has at least one person before him and G goes after E:
- Monday: E
- Tuesday: C
- Wednesday: A
- Thursday: G
- Friday: D
- Saturday: B
- Sunday: F

Wait, if E is on Monday, 0 persons before E, but "At least one person goes before E". So E cannot be on Monday.
Let us check if C = Monday, E = Tuesday, A = Wednesday:
Then C is not JUST before A (E is between C and A). But C must be JUST before A.

Let us check B on Saturday:
Days: Mon, Tue, Wed, Thu, Fri, Sat, Sun
If B = Saturday:
A = Wednesday, C = Tuesday.
D = Friday (2 persons after D: Sat, Sun; 1 person before C: Mon).
Days remaining: Mon, Thu, Sun.
If E = Tuesday? But C is Tuesday.
What if E = Thursday, G = Sunday? But F has to be 3 persons after G, no room.
Wait! What if G goes 3 persons before F means: G is 3 positions above F (G, _, _, F)?
"G goes three persons before F" = 2 persons between G and F.
If G = Monday, F = Thursday:
Then E = Sunday.
Here persons before E = 6 (valid: at least 1).
Does G go after E? G (Mon) is before E (Sun). Violation.

What if "G goes three persons before F" means G is 3rd to the before of F, so 2 persons between them.
Let's check B = Friday:
A = Tuesday, C = Monday.
Persons before C = 0 ⇒ Persons after D = 1 ⇒ D = Saturday.
Remaining days: Wed, Thu, Sun.
If E = Wednesday, G = Thursday, F = Sunday (wait, 2 persons between Thu and Sun: Fri, Sat. Yes! G on Thursday, F on Sunday).
Let us verify all conditions for this arrangement:
- Monday: C
- Tuesday: A
- Wednesday: E
- Thursday: G
- Friday: B
- Saturday: D
- Sunday: F

Let's check all conditions against this schedule:
1. Seven persons go on 7 days (Mon-Sun): C, A, E, G, B, D, F. (All 7 present)
2. B goes after Thursday: B is on Friday. (Satisfied)
3. Two persons go between A (Tue) and B (Fri): E (Wed) and G (Thu) are between them = 2 persons. (Satisfied)
4. C goes just before A: C is Monday, A is Tuesday. (Satisfied)
5. Number of persons before C is 0. Number of persons after D (Sat) is 1 (Sunday - F). 0 is 1 less than 1. (Satisfied)
6. G goes 3 persons before F: G is Thursday, F is Sunday (Thu → Fri, Sat, Sun: 3 positions after). (Satisfied)
7. G goes after E: E is Wednesday, G is Thursday. (Satisfied)
8. At least one person goes before E: C and A (2 persons) go before E. (Satisfied)

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

Question requirement:
"If the position of D and G interchanged then who among the following will go three persons before G?"

Interchanging D (Saturday) and G (Thursday):
- New Thursday position: D
- New Saturday position: G

Now, G is on Saturday.
Going three persons before G (3 positions before Saturday):
- 1 person before (Friday): B
- 2 persons before (Thursday): D
- 3 persons before (Wednesday): E

Therefore, E goes three persons before G.