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. 

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