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

- I.2x^2 – 23x + 60 = 0

II.y^2 – 10y + 24 = 0y>=xy>xx>=yx>yx=y or relation cannot be established.Option E

x = 4 and 15/2

y = 6 and 4

No relation. - I. (x–8) (2y+9) = 25

II. (2x–16) (y–4) = 8x>yx>=yy>=xy>xx=y or relation cannot be established.Option A

I. 2xy+9x–16y–72 = 25

II. 2xy–8x–16y+64 = 8

x= 9 y = 8

x>y - I. 4x^4 = 128/x

II. √y+ 15y/√y = 4y^5/2x=y or relation cannot be established.y>xy>=xx>=yx>yOption D

I. 4x^4 = 128/x

=>4x^5 = 128

=>x^5 = 32

=>x^ 5 = 25

=> x = 2

II. √𝑦+ 15𝑦/√𝑦 = 4𝑦^5/2

=>y+15y = 4y^3

=>y(1+15) = 4y^3

=>16 = 4y^2

=>4 = y^2

=>y = ±2

x≥y - I.2x^2 – 29x + 104 = 0

II.5y^2 – 42y + 64 = 0x=y or relation cannot be established.x>=yy>xx>yy>=xOption D

I. 2x^2 – 29x + 104 = 0

II.5y^2 – 42y + 64 = 0

x = 8 and 13/2

y = 2 and 32/5

x>y - I. 6x^2–19x–36 = 0

II. 4y^2–47y+120 = 0x>=yx>yx=y or relation cannot be established.y>=xy>xOption C

I. 6x^2–19x–36 = 0

=>6x^2–27x+8x–36 = 0

x = + 27/6 = + 4.5 and – 8/6 = –1.33

II. 4y^2–47y+120 = 0

=>4y^2–32y–15y+120 = 0

=>y = + 32/4 = +8 and + 15/4 = +3.75

No relation. - If 75 % of the Mobile Phones sold by company B in September at discount rate, how many Mobile Phones sold without discount ?
620640680600650Option B

Number of phones w/o discount = [16*48000*5]/[15*4] = 640 - What is the respective ratio of Mobile phones sold by company A and company B in September together sold by company B and C in November together ?
32 : 2133 : 2530 : 2634 : 2131 : 20Option A

Required ratio

= 48000*16%*4/15*5/15 : 48000*10%*7/15*3/15

= 32 : 21 - If shopkeeper earned a profit of Rs. 220 on each Mobile Phone sold by company C in October. What was his total profit earned by the same company in same months ?
825000835000800000805000720000Option A

Total Profit = [48000*25%*5/16]*220

= Rs. 825000 - What is the total number of Mobile Phones sold by all companies in August and November together ?
1300012000125001150010000Option B

Number of Mobile Phones = 48000 × (15 % + 10 %)

= 48000 × 25 % = 48000*25% = 12000 - What is the ratio of the number of Mobile Phones sold by company A in December to those sold in November by the company B ?
16 : 3313 : 3511 : 3117 : 3216 : 35Option E

Required ratio = [48000* 8%* 4]/15 : 48000*7/15*10

= 32 : 70 = 16 : 35

**Directions(6-10):** Read the following Pi–chart carefully and answer the questions that follows :

Percentage distribution of the number of Mobile Phones sold by the shopkeepers during seven months :

**Ratio between number of Mobile Phones sold by company A, B and C during months : **