**Directions(1-5):** Compare the values of x and y then choose a correct option.

- I.x^2 –x – 210 = 0

II. y^2 + 30y + 224 = 0x > yNo relationx >= yx >= yy > xOption C

I.x^2 –x – 210 = 0

=>x^2 – 15x + 14x – 210 = 0

=>(x-15)(x+14) = 0

=>x = -14,15

II. y^2 + 30y + 224 = 0

=>y^2 + 16y + 14y + 224 = 0

=>(y+16)(y+14) = 0

=>y = -16,-14

x >= y - I.2x^2 – 11x + 15 = 0

II. 2y^2 = y + 10x >= yy > xx > yNo relationx >= yOption A

I.2x^2 – 11x + 15 = 0

=>2x^2 – 6x – 5x + 15 = 0

=>(2x-5)(x-3) = 0

=>x = 3,5/2

II. 2y^2 = y + 10

=>2y^2 – 5y – 4y – 10 = 0

=>(y+2)(2y-5) = 0

=>y = -2,5/2

x >= y - I.x^2 + 19x + 88 = 0

II. y^2 + 20y + 96 = 0x >= yx > yy > xx >= yNo relationOption E

I.x^2 + 19x + 88 = 0

=>x^2 + 11x+8x + 88 = 0

=>(x+11)(x+8) = 0

=>x = -8,-11

II. y^2 + 20y + 96 = 0

=>y^2 + 12y + 8y + 96 = 0

=>(y+8)(y+12) = 0

=>y = -8,-12

No relation - I.2x+5y = 42

II.11x-4y = 42x >= yx >= yy > xNo relationOption E

On solving both the equations, we get

x = y = 6

No relation - I.9x + 7y = 110

II. 11x – 5y = 26y > xx > yx >= yx >= yNo relationOption A

On solving both the equations, we get

y = 8

x = 6

y > x - The number of unsuccessful fighter planes launched is what percentage of the number of successful fighter planes launched by country A?
81.91%72.74%67.81%77.77%71.61%Option D

Required% = 7/9*100 = 77.77% - The table shows the data regarding the fighter planes launched by different countries in the year 2010.
127115105110122Option B

Average = (153+120+72)/3 = 115 - In 2011, the number of fighter planes launched by country C is 50% more than the previous year. If the ratio of successful to unsuccessful fighter planes launched in 2011 is 17:4. Find the number of unsuccessful fighter planes launched by C in 2011.
2029283632Option D

Number of fighter planes launched in 2011 = 126*1.5

= 189

Required number of unsuccessful fighter planes launched in 2011 = 4/21*189 = 36 - If 25% of the fighter planes launched by A were related to defence system. Find the number of defence related fighter planes launched by A.
6856617074Option A

Number of defence related fighter planes launched by A = 272*0.25 = 68 - Total number of fighter planes launched by country D is how much more than the number of fighter planes launched by country E.
8975809093Option E

Difference = 198-105 = 93

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

The table shows the data regarding the fighter planes launched by different countries in the year 2010.