Question

The constituency in which B got lower number of votes compared to A and C is:

• A. \(S4\)
• B. \(S1\)
• C. \(S3\)
• D. \(S2\)

Hint:

- Pay attention to the increasing order of B’s votes and the given information about the winner in each constituency. - The key lies in distinguishing where B received fewer votes compared to A and C.

Answer 1

The Correct Option is D

Step 1: Analyzing the votes distribution across constituencies. Total votes in each constituency = 20.
A, B, and C's total votes across all constituencies = 49, 35, and 16 respectively.
In constituencies S2 and S3, C won, and in S1, A won.
Votes for B in each constituency are distinct natural numbers in increasing order.
From the information, we know that:
A won only in S1, so votes in S1 for A must be higher than B and C.
B’s votes are distinct and in increasing order, so \(B(S1)<B(S2)<B(S3)<B(S4)<B(S5)\).
In S1, B must have received fewer votes than both A and C. Thus, S1 cannot be the constituency where B received the lowest number of votes.
Since B's votes are increasing, S2 must be the constituency where B got the lowest number of votes compared to A and C.
Thus, the correct answer is \(S2\).