Comprehension
Read the information carefully and answer the questions below.
A weekly television show routinely stars six actors, Jeevan, Karan, Lalit, Manish, Nishant, and Omkar. Since the show has been on the air for a long time, some of the actors are good friends and some do not get along at all. In an effort to keep peace, the director sees to it that friends work together and enemies do not. Also, as the actors have become more popular, some of them need time off to do other projects. To keep the schedule working, the director has a few things she must be aware of:
1. Jeevan will only work on episodes on which Manish is working.
2. Nishant will not work with Karan under any circumstances.
3.Manish can only work every other week, in order to be free to film a movie
4. At least three of the actors must appear in every weekly episode.
Question: 1

In a show Lalit getting a job at the same company Jeevan already works for and Karan used to work, all three actors will appear.
Which of the following is true about the other actors who may appear?

Show Hint

When a rule says "X will only work if Y is working," treat it as a one-way dependency: $X \implies Y$. If $X$ is present, $Y$ is mandatory. However, if $Y$ is present, $X$ is not necessarily required!
Updated On: Apr 1, 2026
  • Manish, Nishant, and Omkar must all appear.
  • Manish may appear and Nishant must appear.
  • Manish must appear and Omkar may appear.
  • Omkar may appear and Nishant may appear.
  • Only Omkar may appear.
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The Correct Option is C

Solution and Explanation

Concept: This is a logical group-formation problem. To solve it, we must identify the "forced" appearances (if X appears, Y must appear) and "forbidden" pairings (X and Y cannot appear together).
Step 1: Analyze the given cast members against the rules.
The question states that Lalit, Jeevan, and Karan are appearing.
• Rule 1: "Jeevan will only work on episodes on which Manish is working."
• Deduction: Since Jeevan is appearing, Manish must also appear.

Step 2: Analyze the "forbidden" pairings.
• Rule 2: "Nishant will not work with Karan under any circumstances."
• Deduction: Since Karan is appearing, Nishant cannot appear.

Step 3: Evaluate the remaining actor (Omkar).
• There are no specific rules restricting Omkar in relation to Lalit, Jeevan, Karan, or Manish.
• Deduction: Omkar is free to appear or not appear. He may appear.

Step 4: Conclusion.
Combining the deductions:
• Manish must appear (because of Jeevan).
• Nishant cannot appear (because of Karan).
• Omkar may appear (no restrictions). This matches option (c).
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Question: 2

Next week, the show involves Nishant’s new car and Omkar’s new refrigerator. Which of the following is true about the other actors who may appear?

Show Hint

When a puzzle spans multiple questions, always track "state" changes. The "every other week" rule for Manish is a temporal constraint—if he was in the last episode, he's automatically a "No" for the next one, which often triggers a chain reaction of other exclusions!
Updated On: Apr 1, 2026
  • Manish, Jeevan, Lalit, and Karan all may appear.
  • Jeevan, Lalit, and Karan must appear.
  • Only Karan may appear.
  • Only Lalit may appear.
  • Lalit and Karan must appear.
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The Correct Option is D

Solution and Explanation

Concept: This problem requires applying the specific actor constraints from the previous context to a new scenario where Nishant and Omkar are already confirmed to appear.
Step 1: Evaluate the forbidden pairing.
• Rule 2: ``Nishant will not work with Karan under any circumstances.''
• Deduction: Since Nishant is appearing next week, Karan cannot appear.

Step 2: Evaluate the dependency pairing.
• Rule 1: ``Jeevan will only work on episodes on which Manish is working.''
• Rule 3 (from previous context): In the previous episode, Manish appeared. Since Manish can only work every other week, Manish cannot appear next week.
• Deduction: Because Manish is not working, Jeevan cannot appear (since Jeevan only works when Manish does).

Step 3: Evaluate the remaining actor (Lalit).
• There are no restrictive rules linking Lalit to Nishant, Omkar, or the absence of the others.
• Deduction: Lalit may appear.

Step 4: Conclusion.
• Karan is excluded (by Nishant).
• Manish and Jeevan are excluded (by the bi-weekly rule and dependency).
• Only Lalit is left with the possibility of appearing alongside Nishant and Omkar. This confirms that among the listed possibilities, only Lalit may appear.
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