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EgmatQuantExpert
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Candidate A, B and C are contesting elections. Each voter can only vot Updated on: 30 Jan 2017, 00:26
Originally posted by EgmatQuantExpert on 30 Jan 2017, 00:24.
Last edited by EgmatQuantExpert on 30 Jan 2017, 00:26, edited 1 time in total.
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15% (low)

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81% (01:41) correct 19% (01:38) wrong based on 114 sessions

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Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. \(20\)% of the voters refrained from voting and candidates A, B and C received votes in the ratio \(4 :3: 1\) respectively. If there were no invalid votes and Candidate C got \(2\) million votes, then how many voters (in millions) refrained from voting?


    A. \(2\)
    B. \(2.4\)
    C. \(3.2\)
    D. \(4\)
    E. \(8\)

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Candidate A, B and C are contesting elections. Each voter can only vot Updated on: 30 Jan 2017, 23:45
Originally posted by EgmatQuantExpert on 30 Jan 2017, 00:25.
Last edited by EgmatQuantExpert on 30 Jan 2017, 23:45, edited 1 time in total.
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The official solution has been posted. Looking forward to a healthy discussion..:)
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Candidate A, B and C are contesting elections. Each voter can only vot Updated on: 30 Jan 2017, 10:17
Originally posted by rohit8865 on 30 Jan 2017, 08:24.
Last edited by rohit8865 on 30 Jan 2017, 10:17, edited 1 time in total.
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EgmatQuantExpert
Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. \(20\)% of the voters refrained from voting and candidates A, B and C received votes in the ratio \(4 :3: 1\) respectively. If there were no invalid votes and Candidate C got \(2\) million votes, then how many voters (in millions) refrained from voting?


    A. \(2\)
    B. \(2.4\)
    C. \(3.2\)
    D. \(4\)
    E. \(8\)

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ratio = a:b:c=4:3:1
but c =2 million
thus multiplying the ratio with 2 we get = 8:6:2
thus total = 16 million
As 16 million is 20% decreased value of total X(let) voters
16 = X(1-20/100)
thus X= 20 million
thus number of people not voted = 20-16 million =4 million

Ans D
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Candidate A, B and C are contesting elections. Each voter can only vot 30 Jan 2017, 08:54
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EgmatQuantExpert
Candidate A, B and C are contesting elections. Each voter can only vote for a single candidate. \(20\)% of the voters refrained from voting and candidates A, B and C received votes in the ratio \(4 :3: 1\) respectively. If there were no invalid votes and Candidate C got \(2\) million votes, then how many voters (in millions) refrained from voting?


    A. \(2\)
    B. \(2.4\)
    C. \(3.2\)
    D. \(4\)
    E. \(8\)


Let , Total Voters be 100
No of Voters who didn't cast their votes is 20
No of Voters who casted their votes is 80

Voters received by A:B:C = 40 : 30 : 10

It is 10 represents 2 million people
So, 1 represents 2/10 million people
And 100 represents 2/10*100 = 20million people

Voters who didn't cast their votes is 20% of 20 million people = 4 million people...

Answer will hence be (D) 4 million..
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Candidate A, B and C are contesting elections. Each voter can only vot 30 Jan 2017, 23:44
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Hey,

PFB the official solution.

Working Out:

    • Let the total number of votes = T
    • As 20% of the total voters refrained from voting,
      o 100% -20% = 80% of voters voted
      o Therefore, the total number of people who voted = 80% of T = 0.8 x T
    • Candidates A, B and C received votes in the ratio 4 :3: 1 respectively means
      o Number of votes received by Candidate A = 4X
      o Number of votes received by Candidate B = 3X
      o Number of votes received by Candidate C = 1X

Drawing the tree structure, we get



From the tree structure,

    • People who voted = 0.8T = 4X + 3X + 1X
    • 0.8T = 8X = 8 x 2 million
    • 0.8T = 16 million
    • T = 20 million

People who refrained from voting
    • 0.2T
    • 0.2 x 20 million
    • 4 million

Correct Answer: Option D

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Candidate A, B and C are contesting elections. Each voter can only vot 07 May 2022, 03:06
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