Problem Analysis

To find the correct combination of three riders, we must test each option against all the given rules. A combination is only acceptable if it violates none of the rules.

The Rules:

1. If Feroz rides, then Gautam must ride.
2. If Gautam and Harish both ride, then Javed cannot ride.
3. If Harish and Javed both ride, then Laxman cannot ride.
4. If Javed rides, then either Kumar or Mohan must ride.
5. Exactly one of Kumar or Laxman must ride (they cannot ride together, and one must be present).
6. Kumar and Mohan cannot both ride.

Evaluating the Options:

A. Harish, Javed and Laxman

• This option violates Rule 3. Since Harish and Javed are both riding, Laxman cannot ride. However, in this combination, Laxman is riding.
• Status: Not Acceptable

B. Harish, Javed and Kumar

• Rule 1: Satisfied (Feroz is not riding).
• Rule 2: Satisfied (Javed is riding, but Gautam is not).
• Rule 3: Satisfied (Harish and Javed are riding, and Laxman is not).
• Rule 4: Satisfied (Javed is riding, and Kumar is riding).
• Rule 5: Satisfied (Kumar is riding, but Laxman is not).
• Rule 6: Satisfied (Kumar is riding, but Mohan is not).
• Status: Acceptable

C. Feroz, Gautam and Javed

• This option violates Rule 5. Exactly one of Kumar or Laxman must ride, but in this combination, neither is riding.
• Status: Not Acceptable

D. Gautam, Kumar and Laxman

• This option violates Rule 5. Exactly one of Kumar or Laxman must ride, but in this combination, both are riding.
• Status: Not Acceptable

Conclusion

The only combination that satisfies all the given conditions is Harish, Javed and Kumar.