Question

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 ?

1. A
2. B
3. C
4. D

Answer 1

Correct Answer - Option 3 : 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.