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

Answer: (d)

Total number of votes polled = x (let)

According to the question,

${x × 62}/100 - {x × (100 - 62)}/100 = 144$

${62x}/100 - {38x}/100 = 144$

${24x}/100 = 144$

24x = 144 × 100

$x = {144 × 100}/24 = 600$

Using Rule 26,

Total number of votes = ${50 × 144}/{(50 - 62)}$

= ${50 × 144}/12$ ´

(–ve sign will be neglected)

= 600

Answer: (c)

Total number of votes polled = x

${x × 84}/100 - {x × 16}/100 = 476$

${68x}/100 = 476$

$x = {476 × 100}/68 = 700$

Total number of votes = ${50 × 476}/{50 - 84}$

= ${50 × 476}/34$

(–ve sign will be neglected)

= 700

Answer: (a)

Total votes polled = x

(57 – 43)% of x = 42000

$x × 14/100 = 42000$

$x = {42000 × 100}/14 = 300000$

Using Rule 26,

Total number of votes= ${50 × 42000}/{50 - 57}$

= ${50 × 42000}/{-7}$ = 300000

(–ve sign will be neglected)

Answer: (c)

Let the total number of votes be 100.

Number of uncast votes = 8

Number of votes polled = 92

Number of votes obtained by the winner = 48

Number of votes obtained by the loser = 92 – 48 = 44

If the difference of win be 4 votes, total voters = 100

When the difference be 1100 votes, total voters

= $100/4 × 1100$ = 27500

Here, x = 1100, A = 48

Total number of votes = ${50 × x}/{50 - A}$

= ${50 × 1100}/{50 - 48}$

= ${50 × 1100}/2$

= 25 × 1100 = 27500