model 9 voters & election Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1 [SSC CHSL 2014]

At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were

a) 16200

b) 13000

c) 30000

d) 13800

Answer: (c)

Number of valid votes = x (let)

(62 – 38)% of x = 7200

$x × 24/100 = 7200$

$x = {7200 × 100}/24$ = 30000

Using Rule 26,

Total number of votes

= ${50 × 7200}/{(50 - 38)}$

= 50 × 600 = 30000

Question : 2 [SSC CGL Tier-I 2016]

In an election, a candidate secures 40% of the votes but is defeated by the only other candidate by a majority of 298 votes. Find the total number of votes recorded.

a) 1470

b) 1580

c) 1530

d) 1490

Answer: (d)

Total votes polled = x

According to the question,

(60 – 40)% of x = 298

$x × 20/100 = 298$

$x/5$ = 298

x = 298 × 5 = 1490

Question : 3 [SSC CGL Prelim 2004]

In an election between two candidates, the candidate getting 60% of the votes polled, is elected by a majority of 14,000 votes. The number of votes polled by the winning candidate is

a) 42,000

b) 28,000

c) 46,000

d) 32,000

Answer: (a)

Difference of percentage of votes = 60% – 40% = 20%

20% of total votes = 14000

60% of total votes = $14000/20 × 60$ = 42000

Question : 4 [SSC CGL 2012]

In an election there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is

a) 1490

b) 745

c) 1500

d) 1460

Answer: (a)

Let votes polled = x

$x × ({60 - 40}/100)$ = 298

$x × 1/5 = 298$

x = 298 × 5 = 1490

Using Rule 26,

If a candidate got A% votes in a poll and he won or defeated by 'x' votes, then,

what was the total no. of votes which was cast in the poll?

∴ Total no. of votes = ${50 × x}/{50 - A}$

Total number of votes = ${50 × 298}/{50 - 40} = 1490$

Question : 5 [SSC CPO SI 2016]

In an election 10% of the voters on the voters' list did not cast their votes and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of all the voters in the list and he got 308 votes more than his rival. The number of voters on the list was

a) 4575

b) 3600

c) 6028

d) 6200

Answer: (d)

Total voters in the list = x

Votes got by the winner = ${47x}/100$

Votes got by the loser

=$x - x/10 - 60 - {47x}/100$

= ${9x}/10 - {47x}/100 - 60$

= ${90x - 47x}/100 - 60$

= ${43x}/100 - 60$

According to the question,

${47x}/100 - {43x}/100 + 60 = 308$

${4x}/100 = 308 – 60 = 248$

$x = {248 × 100}/4 = 6200$

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