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

- I.15x^2 – 16x + 4 = 0

II.4y^2 – 19y + 12 = 0

y >= xx >= yy > xx > yNo relationOption C

I.15x^2 – 16x + 4 = 0

=>15x^2 – 10x – 6x + 4 = 0

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

=>x = 2/3,2/5

II.4y^2 – 19y + 12 = 0

=>4y^2 – 16y – 3y + 12 =0

=>(4y-3)(y-4) = 0

=>y = ¾,4

y > x - I.x^2 – 8x + 15 = 0

II.y^2 – 13y + 42 = 0

y >= xx > yx >= yy > xNo relationOption D

I.x^2 – 8x + 15 = 0

=>x^2 – 3x – 5x + 15 = 0

=>(x – 3)(x – 5) = 0

=>x = 3,5

II.y^2 – 13y + 42 = 0

=>y^2 – 7y – 6y + 42 =0

=>(y -7)(y – 6) = 0

=>y = 7,6

y > x - I.x^2 – 20x + 96 = 0

II.y^2 – 13y + 40 = 0

y >= xNo relationy > xx >= yx > yOption D

I.x^2 – 20x + 96 = 0

=>x^2 – 12x – 8x + 96 = 0

=>(x-8)(x – 12) = 0

=>x = 8,12

II.y^2 – 13y + 40 = 0

=>y^2 – 8y – 5y + 40 = 0

=>(y-8)(y-5) = 0

=>y = 8,5

x >= y - I.5x^2 – 27x + 10 =0

II.y^2 – 14y + 48 = 0

x > yNo relationy > xy >= xx >= yOption C

I.5x^2 – 27x + 10 =0

=>5x^2 – 25x – 2x + 10= 0

=>(x-5)(5x – 2) = 0

=>x = 5,2/5

II.y^2 – 14y + 48 = 0

=>y^2 -8y – 6y + 48 = 0

=>(y – 8)(y-6) = 0

=>y = 8,6

y > x - I.7x + 5y = 63

II.5x + 3y = 41

y >= xx > yy > xx >= yNo relationOption C

On solving both the equations, we get

x = 4

y = 7

y > x - Income of Suraj in January is what percentage more or less than the expenditure of Suraj in same month?
80%68%66%75%70%Option D

Income in January = 2400+1800 = Rs.4200

Percentage = [(4200-2400)/2400]*100 = 75% - Find the ratio of expenditure of Suraj in March to the savings of Suraj in March.
10:91:24:36:55:7Option D

Required ratio = 3000:2500 = 6:5 - Income of Suraj in May is how much more than income of Suraj in January.
Rs.2200Rs.2500Rs.2600Rs.2100Rs.2800Option E

Income of January = 2400+1800 = Rs.4200

Income of March = 4500+2500 = Rs.7000

Difference = 7000 – 4200 = Rs.2800 - Income of Suraj in June is 25% more than the income of Suraj in April, and the respective ratio of expenditure to savings in June is 3:2. Find the savings of Suraj in June.
Rs.4200Rs.3900Rs.2800Rs.3100Rs.2000Option C

Income of Suraj in April = 3600+2000 = Rs.5600

Income of Suraj in June = 5600*1.25 = Rs.7000

Savings in June = 2/5*7000 = Rs.2800 - Find the average of the income of Suraj in February, March and May taken together.
Rs.4000Rs.6100Rs.4500Rs.5800Rs.5000Option D

Average = (5000+5400+7000)/3 = Rs.5800

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

The given chart shows the expenditure and savings (in Rs.) of Suraj in different months.

Income = Expenditure + Savings