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. 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 ?
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. 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 ? Correct Answer C
Four political parties : W, X, Y and Z
Four candidates : A, B, C and D
i) A was acceptable to W but not to Z.
ii) B was acceptable to Y but not to X.
|
Parties → Candidates↓ |
W |
X |
Y |
Z |
|
A |
Yes |
|
|
No |
|
B |
|
No |
Yes |
|
|
C |
|
|
|
|
|
D |
|
|
|
|
iii) C was acceptable to W and Y.
iv) D was acceptable to W and X.
|
Parties → Candidates↓ |
W |
X |
Y |
Z |
|
A |
Yes |
|
|
No |
|
B |
|
No |
Yes |
|
|
C |
Yes |
|
Yes |
|
|
D |
Yes |
Yes |
|
|
The above statements implies that A and B cannot be the joint candidate of all the four parties.
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.
|
Parties → Candidates↓ |
W |
X |
Y |
Z |
|
A |
Yes |
Yes |
No |
No |
|
B |
Yes |
No |
Yes |
Yes |
|
C |
Yes |
Yes |
Yes |
Yes |
|
D |
Yes |
Yes |
|
|
Here, C got the ticket.
Hence, 'C' is the correct answer.