Election Based MCQ Quiz - Objective Question with Answer for Election Based - Download Free PDF

Given:

Votes received by winning candidate = 1854

Votes received by losing candidate = 618

Formula Used:

Percentage of total votes received by winning candidate = (Votes received by winning candidate / Total votes) × 100

Calculation:

Total votes = 1854 + 618

Total votes = 2472

Percentage of total votes received by winning candidate = (1854 / 2472) × 100

Percentage of total votes received by winning candidate = \( \frac{1854}{2472} \times 100 \)

Percentage of total votes received by winning candidate = \( \frac{1854 \times 100}{2472} \)

Percentage of total votes received by winning candidate = 75%

The percentage of the total number of votes received by the winning candidate is 75%.

Given:

Total number of votes = 7500

Percentage of invalid votes = 20%

Percentage of valid votes for one candidate = 55%

Formula Used:

Number of valid votes = Total votes × (1 - Percentage of invalid votes)

Valid votes for the other candidate = Total valid votes - Valid votes for one candidate

Calculation:

Number of invalid votes = 7500 × 20% = 7500 × 0.20 = 1500

Number of valid votes = 7500 - 1500 = 6000

Valid votes for one candidate = 6000 × 55% = 6000 × 0.55 = 3300

Valid votes for the other candidate = 6000 - 3300 = 2700

∴ The number of valid votes that the other candidate got is 2700.

Given:

Votes received by candidate 1 = 1234

Votes received by candidate 2 = 8448

Votes received by candidate 3 = 20180

Formula Used:

Percentage of total votes = (Votes received by the winning candidate / Total votes) × 100

Calculation:

Total votes = 1234 + 8448 + 20180

Total votes = 29862

Votes received by the winning candidate = 20180

Percentage of total votes = (20180 / 29862) × 100

Percentage of total votes = 0.6758 × 100

Percentage of total votes = 67.58%

The percentage of total votes the winning candidate got is 67.58%.

Given:

80% of the voters cast their votes.

4% of the votes were declared invalid.

A candidate got 15,360 votes which were 80% of the valid votes.

Formula Used:

Total Votes = Total Voters × Percentage of Votes Cast

Valid Votes = Total Votes × Percentage of Valid Votes

Votes Received by Candidate = Valid Votes × Percentage of Votes Received

Calculation:

Let the total number of votes be x.

⇒ 80% of voters cast their votes:

⇒ Total Votes Cast = 0.80 × x

⇒ 4% of the votes were invalid:

⇒ Valid Votes = 0.96 × (0.80 × x)

⇒ Valid Votes = 0.96 × 0.80 × x

⇒ Valid Votes = 0.768 × x

A candidate got 15,360 votes which were 80% of the valid votes:

⇒ 15,360 = 0.80 × 0.768 × x

⇒ 15,360 = 0.6144 × x

Solving for x:

⇒ x = (15,360)/(0.6144)

⇒ x = 25,000

The total number of votes is 25,000.

Given:

P received 42% of the valid votes.

Q won by 45,360 votes.

20% people did not cast their vote.

10% of the votes cast were found invalid.

Formula Used:

Total votes = 100%

Votes cast = 80%

Invalid votes = 10% of 80% = 8%

Valid votes = 80% - 8% = 72%

Calculation:

Let total votes be V.

P's votes = 42% of 72% of V

Q's votes = 58% of 72% of V

Difference in votes = 58% of 72% of V - 42% of 72% of V = 45,360

⇒ 16% of 72% of V = 45,360

⇒ 0.16 × 0.72 × V = 45,360

⇒ V = 45,360 / (0.16 × 0.72)

⇒ V = 45,360 / 0.1152

⇒ V = 3,93,750

The total number of votes registered in the poll booth is 3,93,750.

Given:

2% of voters did not cast their votes

Invalid votes = 500

The winner got 200 votes more than his opponent and he secured 43%

Calculation:

Let the total number of voters in the voting list be x

Total votes = (100 - 2)x/100 = 98x/100 = 0.98x

Total valid votes = 0.98x - 500

Number of votes loser got = 0.43x - 200

Total valid votes are:

⇒ 0.43x + 0.43x - 200 = 0.98x - 500

⇒ 0.86x - 200 = 0.98x - 500

⇒ 0.98x - 0.86x = 300

⇒ x = 2500

∴ The number of total casted votes = 2500 × (100 - 2)%

⇒ 2450

The number of total casted votes is 2450.

Given:

In an election between two candidates, the defeated candidate secured 42% of the valid votes polled and lost the election by 7,68,400 votes. 

82,560 votes were declared invalid and 20% of people did NOT cast their votes.

Calculation:

Percentage of total valid votes that winning candidate secured = (100 - 42) = 58%

% difference between the winning and defeated candidate = 58 - 42 = 16%

So, the total number of valid votes = 768400 ÷ 16% = 4802500

Total number of votes (both valid and invalid) = 4802500 + 82560 = 4885060

Total number of voters = 4885060 ÷ (100 - 20)% = 6106325

Number of people who didn't case vote = 6106325 × 20% = 1221265

Now, % = (82560/1221265) × 100% = 6.7602% ≈ 6.8%

∴ The invalid votes were 6.8% of the votes which people did NOT cast.

Given:

In an election between two candidates, 12% of voters did not cast their votes.

The winner by obtaining 68% of the total votes defeated his contestant by 2880 votes. 

Calculation:

Let total voters be 100a

So, total voters who casted their vote = 88a

Now,

Winner got 100a × 68%

⇒ 68a

So, losing candidate got 88a - 68a

⇒ 20a

According to the question,

68a - 20a = 2880

⇒ 48a = 2880

⇒ a = 60

So, number of voters who casted their votes = 60 × 88

⇒ 5280

∴ The total number of voters who cast their votes in the election was 5280.

Let the total number of votes be 100.

5% of votes polled were invalid = 5 votes

Raju got 30% of the total votes = 30 votes

Ravi got 32% of the total votes = 32 votes

Ashok got  = 100 - (30 + 32 + 5) = 33 votes

Raju got the least no. of votes and Ashok got the highest no. of votes.

Difference between votes got by Raju and Ashok = 3

⇒ 3 = 5136 ⇒ 1 = 1712 ⇒ 100 = 171200

∴  The total number of votes polled = 171200 votes.

Given:

Total votes cast = 90% × the total number of people on the electoral roll

Invalid votes = 15% ×  the votes cast at the election centre

Jeeta got 60% × valid votes

Jeeta got 91,800 valid votes

Calculation:

Let, the total number of people on the electoral roll = 100x

Total votes cast = 100x × 90% = 90x

Valid votes = 90x × 85%

According to the question:

⇒ 90x × 85% × 60% = 91800

⇒ 90x = (91800 × 100 × 10)/(85 × 6)

⇒ x = (180 × 100 × 10)/90

⇒ x = 2000

The total number of people on the electoral roll = 100x

⇒ 100 × 2000 = 200000 people

∴ The correct answer is 200000.

Given:

10% of the voters did not cast their vote and 10% of the polled vote were found invalid.

The winning candidate got 56% of the valid votes and won the election by a margin of 1,458 votes.

Concept Used:

The percentage is calculated based on 100 i.e. 100 is the base

40% means 40 out of 100

Calculation:

Let, the total enrolled voters be x

10% did not cast a vote means cast or polled vote = 9x/10

10% vote is invalid

That means valid vote = (90/100) × (9x/10)

⇒ 81x/100

The winning candidate got 56% of the polled vote means the looser got (100 – 56) = 44% vote

Winer candidate got total {(56/100) × (81x/100)} vote

And the looser candidate got {(44/100) × (81x/100)} vote

Accordingly,

{(56/100) × (81x/100)} - {(44/100) × (81x/100)} = 1458

⇒ (81x/100) × {(56 – 44)/100} = 1458

⇒ (81 × 12)x/10000 = 1458

⇒ x = (1458× 10000)/(81 × 12)

⇒ x = 15000

∴ Total 15000 voters enrolled in the voter list.

Shortcut Trick

Total voters = 1458 × (100/90) × (100/90) × 100\(56 - 44) = 15000

Given:

% voters who did not cast votes = 15%

Number of disqualified votes = 100

Winner candidate won by % of total votes = 45%

Winner candidate won by margin = 400 votes

Formula used:

Total votes cast  = Winner's votes + loser's votes - vote margin

Total votes cast = Total votes % - % votes who did not cast vote - disqualified votes.

Calculation:

​Let total voters be 100%x

Total votes cast = Total votes % - % votes who did not cast vote.

⇒ 100%x - 15%

⇒ 85%x

Votes got disqualified = 100

thus, Total votes cast = 85%x - 100

Winner got 45% of the total votes cast:

loser got = 45%x - 400

According to the question,

85% - 100 = 45%x + 45%x - 400

⇒ 300 = 90%x - 85%x

⇒ 300 = 5%x

⇒ x = 6000

∴ The total number of voters is 6000.

Given:

In a constituency, 85% of the total number of people on the electoral roll cast their votes during an election.

10% of the votes cast were declared invalid.

If there were 3,00,000 people on the electoral roll, and Dharam secured 1,37,700 valid votes.

Calculation:

The number of casted votes

⇒ 300000 × 85/100 =2,55,000

Number of valid votes,

⇒ 2,55,000 × 90 /100 = 229500

Percentage of votes Dharam secured

⇒ (137700 / 229500) × 100 = 60%

∴ The correct option is 4

Given:

There are 3 candidates in the election.

The third-place candidate got 20% of the total votes.

The difference between the votes of the winner and the first runner-up was 20% of the total votes.

The difference between the votes of the first runner-up and the second runner-up was 37,000 votes.

Formula used:

Percentage = (Part / Whole) × 100

Total = Part1 + Part2 + Part3

Solution:

Let 100x be the total number of votes.

Let the winners get votes and the 2nd runner-up get b votes.

The number of votes for the third-place candidate is 20% of total votes = 20x.

So the total number of votes winner and 2nd runner-up gets is

a + b + 20x = 100x

a + b = 80x ..........(1)

According to the question.

The difference in the votes between votes of the winner and the first runner-up was 20% of the total votes

So,

a - b = 20x......... (2)

Solving equation (1) & (2),

We get a = 50x and b = 30x

Now, the difference between the votes of the first runner-up and the second runner-up was 37,000

So, 30x - 20x = 37000

x = 3700

The number of votes for the winner is 50x = 50 × 3700 = 1,85,000

Therefore, the winner received 1,85,000 votes.

Shortcut Trick

Let's assume that total votes = 100 unit

So, person in 3^rd place got 20% which is = 20 unit remaining 80 unit

Difference of votes of 1st and 2nd is 20%, so winner must got 50 unit and 2^nd got 30 unit

According to the question, the difference of votes between 2^nd and 3^rd is 37000

So,(30 - 20) = 10 unit → 37,000

So, 50 unit → 37000/10 × 50 = 37000 × 5 = 185000

Given:

P got 35% more votes than Q

R got 15% more votes than Q.

P overtook R by 2,412 votes.

90% voters voted and no invalid or illegal votes were cast

Concept used:

Let the total votes of Q be 100x

P =  × 100x + 100x = 135x

R =  × 100x + 100x = 115x

Calculation:

135x - 115x = 2412

20x = 2412

x = 120.6

So, the vote obtained by Q = 100x = 100 × 120.6 = 12060

Vote obtained by P = 135x = 135 × 120.6 = 16281

Vote obtained by R = 115x = 115 × 120.6 = 13869

Total votes obtained by all of them = 12060 + 16281 + 13869 = 42210

Now, according to question, only 90% of the voters casted votes, therefore:

⇒ \(90 \over 100\) × y = 42210 ⇒ y = \(42210 \times 100 \over 90\) ⇒ y = 46900 (y = total votes)

Therefore, the number of voters in the voting list are 46900.