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Direction (1 - 5): Study the following information
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
Required ratio = 72: 63 = 8: 7
Required sum = 56 + 80 + 45 = 181
Required % = 60/80 *100 = 75%
Required average = (72 + 60) /2 = 66
Required ratio = (60 + 80): 63 = 20: 9

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
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
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
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