# Quant Test for LIC AAO Prelims Exam Set – 15

Directions(1-5):
Find the value of x and y and then compare both of them and choose a correct option.

1. I.x^2 + 19x + 84 = 0
II.y^2 + 14y + 49 = 0

x >= y
y > x
No relation
y > x
y >=x
Option E
I.x^2 + 19x + 84 = 0
=>x^2 + 12x + 7x+ 84 = 0
=>(x+7)(x+12) = 0
=> x = -7, – 12
II.y^2 + 14y + 49 = 0
=>(y+7)^2 = 0
=>y = -7
y >=x

2. I.x^2 – 87x – 270 = 0
II.7y^2 – 11y – 18 = 0

y >=x
y > x
x >= y
y > x
No relation
Option E
I.x^2 – 87x – 270 = 0
=>x^2 – 90x + 3x – 270 = 0
=>x = 90, – 3
II.7y^2 – 11y – 18 = 0
=>7y^2 – 18y + 7y – 18 = 0
=>y = 18/7,-1
No relation.

3. I.x^2 – 19x + 84 = 0
II.y^2 -25y + 156 = 0

y > x
No relation
y >=x
x > y
x >= y
Option C
I.x^2 – 19x + 84 = 0
=>x^2 – 7x – 12x + 84 = 0
=>(x-7)(x-12) = 0
=>x = 7,12
II.y^2 -25y + 156 = 0
=>y^2 – 13y – 12y + 156 = 0
=>(y-13)(y-12) = 0
=>y = 13,12
y >= x

4. I.x^2 – 11x + 24 = 0
II.2y^2 – 9y + 9 = 0

y > x
y >=x
y > x
No relation
x >= y
Option E
I.x^2 – 11x + 24 = 0
=>x^2 – 8x – 3x + 24 = 0
=>(x-3)(x-8) = 0
=>x = 3,8
II.2y^2 – 9y + 9 = 0
=>2y^2 – 6y – 3y + 9 = 0
=>(2y – 3)(y-3) = 0
=>y = 3/2,3
x >= y

5. I.2x^2 + 5x+ 3 = 0
II.y^2 + 3x + 2 = 0

y > x
No relation
x >= y
y >=x
y > x
Option B
I.2x^2 + 5x+ 3 = 0
=>2x^2 + 2x+ 3x+ 3 = 0
=>(x+1)(2x+3) = 0
=>x = -1, -3/2
II.y^2 + 3x + 2 = 0
=>(y+1)(y+2) = 0
=>y = -1,-2
No relation.

6. Directions(6-10):
Answer the questions based on the information given below.
The graph shows the percentage distribution of the number of people who like different fruits and one person likes only one fruit.
Total number of people who like different fruits = 7500 7. The number of people who like Apples like only one out of Apple juice and Apple shakes. The number of people who like Apple Juice and Apple Shakes are in the ratio of 5:4 resp. Find the number of people who like Apple Juice.
1000
2200
2000
1950
1880
Option A
Required number of people who like Apple
juice
= (5/9)*1800
= 1000

8. Find the ratio of the number of people who like Raspberry to the number of people who like Jackfruit.
400
450
410
370
359
Option B
Required Difference = 1350 – 900 = 450

9. Number of people who like Apple is what percentage more or less than the number of people who like Banana ?
70%
60%
50%
20%
40%
Option C
Required% = (1800 – 1200)/1200*100 = 50%

10. Find the ratio of the number of people who like Raspberry to the number of people who like Jackfruit.
2:3
2:1
7:5
3:4
5:2
Option A
Required ratio = 9001:1350 = 2:3

11. Find the average number of people who like Banana and Raspberry taken together.
1315
1510
1050
1000
1120
Option C
Required average = (1200+900)/2 = 1050