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carefully and answer the questions given below.

Three vendors A,B & C sell pizzas (veg + non-veg) in

Week I. Veg & Non-veg pizzas sold by A are in the

ratio 9:7, & those sold by B are in the ratio 3:4. Total

pizzas sold by C are 108, out of which veg & non-veg

pizzas of C are in the ratio 7:5. Total pizzas sold by A,

B & C together are 376. Veg pizzas sold by A is 20%

more than the veg pizzas sold by B

11) Find the ratio between the veg pizzas sold by A and C.

a) 8: 7

b) 1: 2

c) 3: 2

d) 7: 8

e) 5: 6

12) Find the sum of non – veg pizzas sold by all the vendors.

a) 178

b) 145

c) 156

d) 175

e) 181

13) The veg pizzas sold in B is what percentage of

non – veg pizzas sold in B?

a) 80%

b) 85%

c) 75%

d) 70%

e) 60%

14) Find the average veg pizzas sold in A and B.

a) 44

b) 60

c) 72

d) 66

e) 45

15) Find the ratio between the pizzas sold in B to the

veg pizzas sold in C.

a) 1: 2

b) 20: 9

c) 3: 4

d) 9: 20

e) 3: 16

Directions (Q. 6 - 10) In the following questions, two

equations I and II are given. You have to solve both

the equations and give Answer as,

a) If x > y

b) If x ≥ y

c) If x < y

d) If x ≤ y

e) If x = y or the relation cannot be established

6)

I)X² – 10x – 56 = 0

II) y² + 27y + 72 = 0

7) I) 2x² + 15x + 22 = 0

II) 3y² – 2y – 16 = 0

8) I)X² + 17x + 52 = 0

II)Y² + 8y – 48 = 0

9) I) 2x² – 17x + 33 = 0

II) 3y² + y – 52 = 0

10) I)X² + (125)1/3 = 21

II) y = ∜256

SOLUTIONS

Directions (1 - 5):

Pizzas sold in C = 108

Veg pizzas in C = 108/12 * 7 = 63

Non- veg pizzas in C = 108/ 12 * 5 = 45

Pizzas sold in A and B = 376 – 108 = 268

Veg : Non-veg pizzas sold by A = 9: 7 (9y, 7y)

Veg : Non-veg pizzas sold by B = 3: 4 (3x, 4x)

Veg pizzas sold by A = 120% Veg pizzas sold by B

=> 6: 5 (6z, 5z)

=> 9y/6z * 5z = 7.5 y

=> 7.5y/3 * 4 = 10y

Veg A: non-veg A: Veg B: non-veg B

9: 7: 7.5: 10

=> 18: 14: 15: 20

=> 268 = 67y

=> y = 4

Veg pizzas in A = 18 * 4 = 72

Non- veg pizzas in A = 14 * 4 = 56

Veg pizzas in B = 15 * 4 =60

Non- veg pizzas in B = 20 * 4 = 80

Total veg Non- veg

A 128 72 56

B 140 60 80

C 108 63

1) Answer: A

Required ratio = 72: 63 = 8: 7

2) Answer: E

Required sum = 56 + 80 + 45 = 181

3) Answer: C

Required % = 60/80 *100 = 75%

4) Answer: D

Required average = (72 + 60) /2 = 66

5) Answer: B

Required ratio = (60 + 80): 63 = 20: 9

6) Answer: E

Explanation:

I)

X² – 10x – 56 = 0

(x – 14) (x + 4) = 0

x = 14, -4

II)

Y² + 27y + 72 = 0

(y + 24) (y + 3) = 0

y = -24, -3

Can’t be determined

7) Answer: D

Explanation:

I) 2x² + 15x + 22 = 0

2x² + 4x + 11x + 22 = 0

2x(x + 2) + 11(x + 2) = 0

(2x + 11) (x + 2) = 0

x = -11/2, -2 = -5.5, -2

II) 3y² – 2y – 16 = 0

3y² + 6y – 8y – 16 = 0

3y(y + 2) – 8 (y + 2) = 0

(3y – 8) (y + 2) = 0

Y = 8/3, -2

x ≤ y

8) Answer: E

Explanation:

I)

X² + 17x + 52 = 0

(x + 13) (x + 4) = 0

x = -13, -4

II)

Y² + 8y – 48 = 0

(y + 12) (y – 4) = 0

y = -12, 4

Can’t be determined

9) Answer: e)

Explanation:

I) 2x² – 17x + 33 = 0

2x² – 6x – 11x + 33 = 0

2x (x – 3) – 11 (x – 3) = 0

(2x – 11) (x – 3) = 0

x = 5.5, 3

II) 3y² + y – 52 = 0

3y² – 12y + 13y – 52 = 0

3y (y – 4) + 13 (y – 4) = 0

(3y + 13) (y – 4) = 0

y = -13/3, 4 = - 4.33, 4

Can’t be determined

10) Answer: D

Explanation:

I)

X² + (125)1/3 = 21

X² + (5³)¹/³ = 21

X² = 21 – 5

x = (16)1/2 = 4, -4

II) y = ∜256

y = 4

x ≤ y