**Directions(1-5):** Find the values of x and y and compare them, and choose a correct option.

- I.7x^2 + 44x -35 = 0

II.4y^2 – 33y + 35 = 0

x >= yx > yy > xNo relationy >= xOption C

I.7x^2 + 44x -35 = 0

=>7x^2 + 49x – 5x – 35 = 0

=>(x+7)(7x-5) = 0

=>x = -7,5/7

II.4y^2 – 33y + 35 = 0

=>4y^2 – 5y – 28y + 35 =0

=>(y-7)(4y -5) = 0

=>y = 7,5/4

y > x - I.x^2 + 36x + 323 = 0

II.y^2 + 30y + 221 = 0

x >= yx > yy >= xNo relationy > xOption C

I.x^2 + 36x + 323 = 0

=>x^2 + 17x + 19x + 323 = 0

=>(x+17)(x+19) = 0

=>x = -17,-19

II.y^2 + 30y + 221 = 0

=>y^2 + 13y + 17y + 221 = 0

=>(y +13)(y+17) = 0

=>y = -13,-17

y >= x - I.x^2 – 10x + 24 = 0

II.y^2 – 18y +77 = 0

y > xy >= xx > yx >= yNo relationOption A

I.x^2 – 10x + 24 = 0

=>x^2 – 6x – 4x + 24 = 0

=>(x – 4)(x-6) = 0

=>x = 4,6

II.y^2 – 18y +77 = 0

=>y^2 – 11y – 7y + 77 = 0

=>(y – 11)(y – 7) = 0

=>y = 11,7

y > x - I.x^2 + 26x + 165 =0

II.y^2 +30y + 209 =0

x > yy > xy >= xx >= yNo relationOption E

I.x^2 + 26x + 165 =0

=>x^2 + 15x + 11x + 165 = 0

=>(x + 15)(x+11) = 0

=>x = -15,-11

II.y^2 +30y + 209 =0

=>y^2 + 19y + 11y + 209 =0

=>(y+11)(y+19) = 0

=>y = -11,-19

No relation - I.x^2 + 2x – 24 = 0

II.y^2 + 2y – 15 = 0

x >= yx > yy > xy >= xNo relationOption E

I.x^2 + 2x – 24 = 0

=>x^2 +6x – 4x – 24 = 0

=>(x+6)(x-4) = 0

=>x = -6,4

II.y^2 + 2y – 15 = 0

=>y^2 + 5y – 3y – 15 = 0

=>(y+5)(y -3) = 0

=>y =-5,3

No relation - Laptops manufactured by Sony are how much percent more or less than the number of laptops manufactured by HP?
25.05%42.42%30.15%33.33%27.17%Option D

Let the total number of laptops manufactured by all companies be x.

[360 – (72+90+108+36)] *x/360 = 720

=>x = 4800

Difference = 1440 – 960 = 480

Required% = 480/1440*100 = 33.33% - What is the average number of laptops manufactured by all companies together?
900888960874745Option C

Average = 4800/5 = 960 - Dell and Lenovo do not sell 20% and 25% resp. of total laptops manufactured by them, find the ratio of laptops sold by them.
13:199:716:914:1512:7Option C

Ratio =(0.80*1200): (0.75*720) = 16:9 - What is the percentage of laptops manufactured by Lenovo?
30%25%20%15%10%Option D

Percentage = 720/4800*100 = 15% - What is the difference between the number of laptops manufactured by Dell and that by Acer?
520625720700660Option C

Difference = 1200-480 = 720

**Directions(6-10):** Answer the following questions based on the given information.

The pie-chart given below shows the distribution of laptops manufactured by five different companies i.e. Sony, Lenovo, HP, Dell and Acer either in degree measures or in absolute value.