**Directions(1-5): **Find the relationship between x and y and choose a correct answer.

- I. x = √5.76

II. y + x^2 = 0.36y>xx>=yx>yx=y or relation cannot be established.y>=xOption C

x = (5.76)^1/2

= 2.4

y + (2.4)^2 = 0.36

y = 0.36 – 5.76

x > y - I. 2x^2 + x – 1 = 0

II. 2y^2 – 3y + 1 = 0x=y or relation cannot be established.y>=xy>xx>yx>=yOption B

2x^2 + x – 1 = 0

=>2x^2 + 2x – x – 1 = 0

=>2x (x + 1) – 1 (x + 1) = 0

x = – 1, ½

2y2 – 3y + 1 = 0

=>2y2 – 2y – y + 1 = 0

=>2y (y – 1) – 1 (y – 1) = 0

y = 1, ½

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

II. 2y^2 + 27y + 88 = 0y>xy>=xx>yx>=yx=y or relation cannot be established.Option D

2x^2 + 13x + 21 = 0

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

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

x = – 7/2, – 3

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

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

y = – 8, – 11/2

x>=y - I. 9/√x + 19/√x = √x

II. y^5 – (2×14)^11/2 /√y = 0y>=xx=y or relation cannot be established.y>xx>=yx>yOption B

x = 28

Y = 28

x = y - I. 9x – 15.45 = 54.55 + 4x

II. √𝑦 + 155 – √36 = √49x>yx>=yx=y or relation cannot be established.y>xy>=xOption C

x = 14

y = 14

x = y - What is the difference beween the profit earned by Company C on model M1 and the profit earned by Company E on model M2? (in crore)
0.034120.051520.041220.036480.02550Option D

C(M1) = 3.2*22/100* 6/11* 20/100 = 0.0768 crore

E(M2) = 3.2*10/100* 3/5* 21/100 = 0.04032 crore

Difference = 0.0768 – 0.04032 = 0.03648 - What is the total profit earned by Company B and Company C together on model M2 (in crore)?
0.14210.12480.13510.10200.1113Option B

B(M2) = 3.2*14/100*5/14*30/100 = 0.048

C(M2) = 3.2*22/100*5/11*24/100 = 0.0768

Sum = 0.048 + 0.0768 = 0.1248 - The percentage profit earned by Company B on model M1 is what percentage of the percentage profit earned by Company D on model M2.
92%100%112%107%96%Option C

%Profit B(M1) = 28%

%Profit D(M2) = 25%

Required % = 28/25*100 = 112% - What is the ratio of the cost of production of model M1 of Company D to that of model M2 of Company F?
3:54:97:810:115:7Option A

(Production-M1) = 3.2 *13/100* 6/13

(Production-M2 ) = 3.2* 21/100*10/21

Ratio = 6/10 = 3:5 - What is the ratio of the cost of production of model M1 of Company D to that of model M2 of Company F?
0.88 crore0.111 crore0.109 crore0.110 crore0.104 croreOption E

A(M1) = 3.2*20/100*13/20*25/100

= 0.104 crore

**Directions(6-10):** Study the following information carefully and answer the given questions.

There are six companies, namely A, B, C, D, E and F, which produce two models (M1 and M2) of an item. The given pie-chart shows the percentage distribution of total production by the given six companies and the table shows the ratio of production of M1 to that of M2 and the percentage of profit earned on these items. (Total production cost of the six companies is 3.2 crore.)