Question

Eight students A, B, C, D, E, F, G and H are planning to enjoy racing. There are only two cars and following conditions: 1. One car can accommodate maximum five and minimum four students. 2. B will sit in the same car in which D is sitting but H is not in the same car. 3. C, B and C can't sit in the same car in which D is sitting. 4. D, F will sit in the car for four people only along with A and E but certainly not with G. If H and G are sitting in the same car, who are the other two students sitting in the same car?

• A. B and C
• B. C and D
• C. B and D
• D. E and B
• E. F and A

Hint:

Group puzzles: Start with fixed combinations first.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
We have 8 students to be divided into two cars (Car 1 and Car 2). Since the total is 8, both cars must have exactly 4 students each to satisfy the "minimum 4" rule.
Step 2: Detailed Explanation:
From Rule 4: One car has exactly 4 people: A, E, F. Rule 2 says D must be with A. So, Car 1 has {A, D, E, F}. Remaining students: B, C, G, H. Since Car 1 is full with 4 people, these four must be in Car 2.
Step 3: Calculation:
Car 1: A, D, E, F (4 people). Car 2: B, C, G, H (4 people). The question asks: if H and G are in a car, who are the other two? From our distribution, they are B and C.
Step 4: Final Answer:
The other two students are B and C. Thus, the correct option is (a).