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Question :

What BEST can be concluded about the number of votes polled by the winning candidate in constituency C?

Started 2 weeks ago by Shashank in

Option B is the correct answer.

Explanatory Answer

We know that candidates who failed to secure more 1/6 th of total valid votes lose their
security deposit.
Let us put the information we have in a table:
• From (1), we know that the 2 nd runner-up in A polled 95000-10000 = 85000 votes
• From (2), we know that everyone in C secured more than (1/ 6)* 600030 = 100005 votes . Also,
the minimum difference between any 2 candidates’ votes was 10,000.
• From (3), let’s assume the total no. of votes polled in D was 100x. Then votes polled by winner =
37,500 + 5x.
Also, we know that candidates who lost their deposit in D together polled 35% votes . 

    

Total no. of votes polled in C = 6,00,030
Total no. of candidates = 5
We know that everyone polled more than 1,00,005 votes in C, and minimum diff between any 2 is
10,000.
Hence, minimum votes polled by bottom 4 :
( 1,00,006 ) + ( 1,00, 006 + 10 000) + (1,00,006 + 2*10000) + (1,00,006 + 3*10000)
= 4*1,00,006 + 60,000 = 4,60,024 votes
Maximum votes polled by winning candidate = 6,00,030 – 4,60,024 = 1,40,006
Minimum votes polled by 1 st runner-up = 1,00,006 + 30,000 = 1,30,006
Diff between the two is 10,000. Hence, we can conclude that winner polled exactly 1,40,006
votes. 

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