Reasoning : Logical Reasoning & Analytical Ability

Q 311 / 325

UPSC CSE Prelims 2012

Four political parties W, X, Y and Z decided to set up a joint candidate for the coming parliamentary elections. The formula agreed by them was the acceptance of a candidate by most of the parties. Four aspiring candidates, A, B, C and D approached the parties for their tickets.

A was acceptable to W but not to Z.
B was acceptable to Y but not to X.
C was acceptable to W and Y. J
D was acceptable to W and X.

When candidate B was preferred by W and Z, candidate, C was preferred by X and Z, and candidate A was acceptable to X but not to Y; who got the ticket?

EXPLANATION

Correct Option (C)

To determine the candidate who received the ticket, the acceptance status of each aspiring candidate by the four political parties (W, X, Y, Z) must be consolidated based on all provided statements. The agreed selection criterion is the acceptance of a candidate by the majority of the parties.

  • Candidate A: Initially acceptable to W but not Z. Subsequently acceptable to X but not Y. Thus, Candidate A is acceptable to parties W and X, totaling 2 parties.
  • Candidate B: Initially acceptable to Y but not X. Subsequently preferred by W and Z. Thus, Candidate B is acceptable to parties W, Y, and Z, totaling 3 parties.
  • Candidate C: Initially acceptable to W and Y. Subsequently preferred by X and Z. Thus, Candidate C is acceptable to parties W, X, Y, and Z, totaling 4 parties.
  • Candidate D: Acceptable to parties W and X. No further information is provided for Candidate D. Thus, Candidate D is acceptable to 2 parties.

Comparing the number of parties accepting each candidate:

  • Candidate A: 2 parties
  • Candidate B: 3 parties
  • Candidate C: 4 parties
  • Candidate D: 2 parties

Candidate C is acceptable to all four parties, representing the highest number of acceptances among all candidates. Therefore, Candidate C receives the ticket.

Incorrect Options:

  • Option A (Candidate A): Candidate A is acceptable to parties W and X, totaling 2 parties. This count is less than the 4 parties that accept Candidate C.
  • Option B (Candidate B): Candidate B is acceptable to parties W, Y, and Z, totaling 3 parties. This count is less than the 4 parties that accept Candidate C.
  • Option D (Candidate D): Candidate D is acceptable to parties W and X, totaling 2 parties. This count is less than the 4 parties that accept Candidate C.