Shino society as exactly 3 members : Arjun Karn and Bhim. During one week ,…
2025
Shino society as exactly 3 members : Arjun Karn and Bhim. During one week , the council members vote on exactly three three bills: a recreation bill ,a school bill and a tax bill. Each council member votes either against or for the bill. Each member of the council votes for at least one of the bills and against at least one of the bills. Exactly two members of the council vote for the recreation bill. One member of the Council vote for school bill . Exactly one member of the council vote for tax bill. Arjun votes for recreation bill & against school bill Karn votes against recreation bill Bhim votes against the tax bill.Karn votes for exactly two of the bills, which one of the following statements are true?
- A.
Arjun votes for the tax bill
- B.
Karn votes against the tax bill
- C.
Karn votes for the school bill
- D.
Karn votes against the tax bill
Attempted by 721 students.
Show answer & explanation
Correct answer: C
Correct answer: Karn votes for the school bill.
Explanation:
Given facts: Arjun votes for the recreation bill and against the school bill; Karn votes against the recreation bill; Bhim votes against the tax bill. Each member votes for at least one bill and against at least one bill.
Exactly two members support the recreation bill. Because Arjun supports recreation and Karn is against it, the two supporters must be Arjun and Bhim. So Bhim supports recreation.
Karn votes for exactly two bills. Karn is already against the recreation bill, so Karn must vote for the other two bills: the school bill and the tax bill.
Exactly one member supports the school bill and exactly one supports the tax bill. Since Karn supports both of those bills, he is the sole supporter of each. This matches the given that Bhim is against the tax bill and Arjun is against the school bill.
Therefore Karn votes for the school bill, and the final consistent voting pattern is:
Recreation bill — For: Arjun, Bhim; Against: Karn
School bill — For: Karn; Against: Arjun, Bhim
Tax bill — For: Karn; Against: Arjun, Bhim