**Directions(1-5):** Find out the relation between x and y and choose a correct option.

- I. x^2 – 50x + 621 = 0

II. y^2 – 42y + 437 = 0y>=xx>=yx>yy>xx=y or relation cannot be established.Option B

I. x^2–50x+621 = 0

=>X^2–23x–27x+621 = 0

=>x = +23, +27

II. y^2–42y+437 = 0

=>Y^ 2–19y–23y+437 = 0

=>y = +19, +23

x>=y - I. x^2 – 3481 = 0

II.y^2 –118y +3481=0x=y or relation cannot be established.y>xx>yx>=yy>=xOption E

I. x^2 – 3481 = 0

x ^2 = 3481

x = ±59

II. y^2 –118y + 3481 = 0

y ^2 –59y–59y +3481 = 0

y = +59, +59

y>=x - I. 3√x– 18/√x = √x

II. 2√y + (y−36)/√y = –√yx>yx=y or relation cannot be established.y>xx>=yy>=xOption B

I.3√𝑥– 18/√𝑥 = √𝑥

=>3x–18 = x =>2x = 18

=>x = 9

II.2√𝑦 + (𝑦−36)/√𝑦 = –√𝑦

=>2y+y–36 = –y

=> 4y = 36

=>y = 9

x=y - I. √𝑥 + 6 = √121 – √36

II. y^2 + 112 = 473y>xx>=yy>=xx=y or relation cannot be established.x>yOption E

x = 19

y= + 19

x > y - I. 2x^2 + 13x + 21 = 0

II. 2y^2 + 27y + 88 = 0y>=xx>yx=y or relation cannot be established.y>xx>=yOption B

I.2x^2 + 13x + 21 = 0

=>2x^2 + 7 x + 6x + 21 = 0

=>x (2x + 7) + 3 (2x + 7) = 0

x = – 7/2, – 3

II.2y^2 + 16y + 11y + 88 = 0

=>2y (y + 8) + 11 (y + 8) = 0

y = – 8, – 11/2

x>y - The number of player participating in Badminton from all the country is what percent of total number of player participating in all game from country – III ?
132%125%140%157%120%Option D

Total number of players participating in Badminton

= ( 45+ 40 + 95 + 85 +95 + 65) = 425

Number of player participating in all game from country III = ( 90 + 85 + 95) = 270

Percentage = 425/270*100 = 157% - What is the total number of player participating in Cricket from country IV, V and VI and the number of players participating in Football from country I, II and III ?
511435525400421Option B

Players participating in Cricket from country ( IV, V and VI)

= (80 + 70 + 60) = 210

Players participating in Football from country (I, II and III) = (65 + 70 + 90) = 225

Total = 210 + 225 = 435 - 60 % of players participating in all game from country V is male and 30 % players participating in all game from country III is female. What will be their ratio ?
48/2747/2333/2249/2741/20Option D

Total number of players participating in all game from country V = (80 + 70 + 95) = 245

60 % of 245 = 147

Total number of players participating in all game from country III = (90 + 85 + 95) = 270

Therefore, 30 % of 270 = 81

Ratio = 147/81 = 49/27 - The number of players participating in Cricket from country – IV is what percentage of the number of players participating in Badminton from country – I ?
178%150%145%124%110%Option A

Number of players participating in Cricket from country IV = 80

Number of Players participating in Badminton from country I = 45

Percentage = 80/45*100 = 178% - In which country in the number of player participating in Football is the highest and number of player participating in Badminton is the lowest.
Country II and IVCountry II and IIICountry IV and VCountry I and IVCountry I and VOption B

Country III has highest number of player in Football and country II has lowest number of players in Badminton.

**Directions(6-10):** Study the graph carefully answer the question that follow :

Number of players participating in three different games from six different countries :