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.

Given that C is positioned relative to E in the same way that A is positioned relative to G, which person is positioned relative to F in that same way?

The correct option is B.

Step-by-Step Explanation:

1. Understanding the Days of the Week:
The seven persons go to Shimla on seven consecutive days from Monday to Sunday:
Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.

2. Step 1: Positioning A, B, and C
- "B goes after Thursday." This means B can go on Friday, Saturday, or Sunday.
- "Two persons go between A and B."
- "C goes just before A."

Let's evaluate the possibilities for B:
• Case 1: B goes on Friday.
- Two persons between A and B means A goes on Tuesday.
- C goes just before A, so C goes on Monday.
• Case 2: B goes on Saturday.
- Two persons between A and B means A goes on Wednesday.
- C goes just before A, so C goes on Tuesday.
• Case 3: B goes on Sunday.
- Two persons between A and B means A goes on Thursday.
- C goes just before A, so C goes on Wednesday.

3. Step 2: Determining D's Position
Condition: "The number of persons goes before C is one less than the number of persons goes after D."

In equation form:

$\text{Persons before C}=\text{Persons after D}-1$

Which rearranges to:

$\text{Persons after D}=\text{Persons before C}+1$

Let's test our cases:
- In Case 1 (C is on Monday):
Persons before C = 0.
Persons after D = 0 + 1 = 1.
For 1 person to go after D, D must go on Saturday.
This gives the schedule so far: Mon (C), Tue (A), Fri (B), Sat (D).
- In Case 2 (C is on Tuesday):
Persons before C = 1.
Persons after D = 1 + 1 = 2. So D would be on Friday, but fitting G, F, and E causes a conflict because at least one person must be before E.
- In Case 3 (C is on Wednesday):
Persons before C = 2.
Persons after D = 2 + 1 = 3. D would need to be on Thursday, which is already occupied by A.

Thus, only Case 1 is valid.

4. Step 3: Placing E, G, and F
From Case 1, the empty days are Wednesday, Thursday, and Sunday.
- "G goes three persons before F" means G is 3 days before F (so G is on Thursday and F is on Sunday).
- The remaining day, Wednesday, is occupied by E.
- Checks:
• G (Thursday) goes after E (Wednesday). (Satisfied)
• At least one person goes before E (C and A go before E). (Satisfied)

Final Seating / Day Schedule:

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

5. Step 4: Solving the Specific Question
The question asks: "Given that C is positioned relative to E in the same way that A is positioned relative to G, which person is positioned relative to F in that same way?"

Let's analyze the relationship pattern:
- C (Monday) is 2 days before E (Wednesday).
- A (Tuesday) is 2 days before G (Thursday).
- Following this exact relationship, we need to find the person who is 2 days before F (Sunday).

Looking at the schedule, 2 days before Sunday (F) is Friday, which is occupied by B.

Hence, B is the correct person.