Question

Assume that A and C had formed an alliance and any voter who voted for either A or C would have voted for this alliance. Then the number of seats this alliance would have won is:

• A. 3
• B. 4
• C. 5
• D. 2

Hint:

- The key here is the combined votes of A and C. Analyze which constituencies have a majority when A and C are combined.

Answer 1

The Correct Option is D

Analyzing the seat distribution with the A-C alliance.
In each constituency, the total number of votes is 20.
A and C together would have received their combined votes. A’s total votes = 49, and C’s total votes = 16.
The total number of votes for A and C together is \(49 + 16 = 65\).
From the given distribution, we know that:
S2 and S3 were won by C.
A won in S1, while B's votes in each constituency are distinct natural numbers in increasing order.
If A and C had formed an alliance:
The alliance would win in constituencies where the combined votes of A and C exceed those of B.
The alliance would win in constituencies S1, S2, and S3.
Thus, the alliance would win 2 seats.