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

- I.18x + 15y = 492

II.y^2 = 256

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

x = 14

y = 16,-16

No relation - I.4x^2 – 17x – 15 = 0

II.3y^2 = 10y + 25

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

I.4x^2 – 17x – 15 = 0

=>4x^2 – 12x – 5x – 15 = 0

=>(4x – 5)(x – 3) = 0

=>x = 3,5/4

II.3y^2 = 10y + 25

=>3y^2 – 15y + 5y – 25 = 0

=>(3y + 5)(y – 5) = 0

=>y = 5,-5/3

No relation - I.5x^2 + 4y = 12

II.4x^2 – 3y = 22

No relationy > xx > yx >= yy >= xOption D

On solving both the equations, we get

x = +2,-2

y = -2

x >= y - I.x^2 – 2x – 63 = 0

II.y^2 + 13y + 42 = 0

x > yy >= xNo relationx >= yy > xOption C

I.x^2 – 2x – 63 = 0

=>x^2 – 9x + 7x – 63 =0

=>(x+7)(x-9) = 0

=>x = -7, 9

II.y^2 + 13y + 42 = 0

=>y^2 + 6y + 7y + 42 = 0

=>(y+7)(y+6) =0

=>y = -7,-6

No relation. - I.x^2 – 23x + 132 = 0

II.y^2 – 19y + 88 = 0

x > yy > xy >= xNo relationx >= yOption E

I.x^2 – 23x + 132 = 0

=>x^2 – 11x – 12x + 132 = 0

=>(x -11)(x -12) = 0

=>x = 11,12

II.y^2 – 19y + 88 = 0

=>y^2 – 11y – 8y + 88 = 0

=>(y – 11)(y – 8) = 0

=>y = 11,8

x >= y - A Shopkeeper bought 30 kg of rice at the rate of Rs. 40 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make 25% overall profit?
5040806070Option A

Total CP of Rice = 30 * 40 = 1200

40% of Total Quantity = 40% of 30 = 12

SP = 12*50 = 600

SP = 1200 * 125/100 = 1500

SP of Remaining Quantity = 1500 – 600 = 900

Remaining Quantity = 18kg

Rice per Kg = 900/18 = Rs. 50 - Ravina’s age 4 years ago and Radha’s 4 years hence is same. Also the present ages of Ravina and Radha are in the ratio 5 : 3. Find the ratio of Ravina’s age 4 years hence to Radha’s age 4 years ago.
2:35:43:16:72:5Option C

Ravina= A, Radha = B

Let A’s present age = 5x, and B’s = 3x

A’s age 4 years ago to B’s age 4 years hence is same

So (5x-4) = (3x+4)

Solve x = 4

So A’s present age = 20, and B’s = 12

Required ratio = (20+4) : (12-4) = 3:1 - P and Q invested rupees 4000 and 5000 respectively in a business. P being an active partner will get rupee 50 every month extra for running the business. In a year if P receive a total of 800 rupee, then what will Q get from the business.
220200250215225Option C

Ratio in which the profit will divide – 4:5.

A will get 50*12 = 600 rupees extra, so from business A got 200 rupees.

i.e (4/9)*P = 200, P = 450. So B will get 450 – 200 = 250 rupees - The average ages of 4 member, each having the age difference of 2yrs is 54 yrs.What is the sum of the youngest and oldest family member ?
909580108100Option D

X+X+2+X+4+X+6 = 54*4 = 216

4X+12 = 216

X = 216-12/4 =51

X+6 = 51+6 = 57

Required = 51+57 = 108 - Among a group of 5 boys and 6 girls, 4 members is to be selected for an event. Find the probability that at least one boy is selected ?
18/2317/2221/2215/2119/20Option C

1 – No boy is selected

1 – 6c4/11c4 = 21/22