Practice Voters election based - quantitative aptitude Online Quiz (set-1) For All Competitive Exams
Q-1) In an office 40% of the staff is female, 40% of the females and 60% of the males voted for me. The percentage of votes I got was
(a)
(b)
(c)
(d)
Let total employees = 100
Required percentage
=${40 × 40}/100 + {60 × 60}/100$
= 16 + 36 = 52%
Q-2) 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)
(b)
(c)
(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
Q-3) 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)
(b)
(c)
(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,
${47x}/100 - {43x}/100 + 60 = 308$
${4x}/100 = 308 – 60 = 248$
$x = {248 × 100}/4 = 6200$
Q-4) In an election, three candidates contested. The first candidate got 40% votes and the second got 36% votes. If total number of votes polled were 36000, find the number of votes got by the 3rd candidate.
(a)
(b)
(c)
(d)
Vote percentage of third candidate = 100 – 40 – 36 = 24%
Votes got by third candidate = ${36000 × 24}/100$ = 8640
Q-5) 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)
(b)
(c)
(d)
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
Q-6) In an election between two candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidate got 9261 votes which were 75% of the valid votes. The total number of voters enrolled in that election was
(a)
(b)
(c)
(d)
Let the total number of voters enrolled be x.
Number of votes polled = 75% of x = ${3x}/4$
Number of valid votes
= ${3x}/4 - 2/100 × {3x}/4 = {3x}/4 - {3x}/200$
= ${147x}/200$
Now, 75% of ${147x}/200 =9261$
or $3/4 of {147x}/200 = 9261$
or $x = {9261 × 4 × 200}/{3 × 147} = 16800$
Q-7) In an assembly election, a candidate got 55% of the total valid votes. 2% of the total votes were declared invalid. If the total number of voters is 104000, then the number of valid votes polled in favour of the candidate is:
(a)
(b)
(c)
(d)
Number of valid votes
= $104000 × 98/100$ = 101920
Valid votes received by the candidate
= ${101920 × 55}/100$ = 56056
Q-8) In an election, a candidate who gets 84 % of the votes is elected by a majority of 476 votes. What is the total number of votes polled ?
(a)
(b)
(c)
(d)
Total number of votes polled = x
${x × 84}/100 - {x × 16}/100 = 476$
${68x}/100 = 476$
$x = {476 × 100}/68 = 700$
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 = ${50 × 476}/{50 - 84}$
= ${50 × 476}/34$
(–ve sign will be neglected)
= 700
Q-9) 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)
(b)
(c)
(d)
Difference of percentage of votes = 60% – 40% = 20%
20% of total votes = 14000
60% of total votes = $14000/20 × 60$ = 42000
Q-10) 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)
(b)
(c)
(d)
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 = ${50 × 298}/{50 - 40} = 1490$