# Quant Test for IBPS PO Prelims Exam set – 8

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

1. I.7x^2 + 44x -35 = 0
II.4y^2 – 33y + 35 = 0
x >= y
x > y
y > x
No relation
y >= x
Option C
I.7x^2 + 44x -35 = 0
=>7x^2 + 49x – 5x – 35 = 0
=>(x+7)(7x-5) = 0
=>x = -7,5/7
II.4y^2 – 33y + 35 = 0
=>4y^2 – 5y – 28y + 35 =0
=>(y-7)(4y -5) = 0
=>y = 7,5/4
y > x

2. I.x^2 + 36x + 323 = 0
II.y^2 + 30y + 221 = 0
x >= y
x > y
y >= x
No relation
y > x
Option C
I.x^2 + 36x + 323 = 0
=>x^2 + 17x + 19x + 323 = 0
=>(x+17)(x+19) = 0
=>x = -17,-19
II.y^2 + 30y + 221 = 0
=>y^2 + 13y + 17y + 221 = 0
=>(y +13)(y+17) = 0
=>y = -13,-17
y >= x

3. I.x^2 – 10x + 24 = 0
II.y^2 – 18y +77 = 0
y > x
y >= x
x > y
x >= y
No relation
Option A
I.x^2 – 10x + 24 = 0
=>x^2 – 6x – 4x + 24 = 0
=>(x – 4)(x-6) = 0
=>x = 4,6
II.y^2 – 18y +77 = 0
=>y^2 – 11y – 7y + 77 = 0
=>(y – 11)(y – 7) = 0
=>y = 11,7
y > x

4. I.x^2 + 26x + 165 =0
II.y^2 +30y + 209 =0
x > y
y > x
y >= x
x >= y
No relation
Option E
I.x^2 + 26x + 165 =0
=>x^2 + 15x + 11x + 165 = 0
=>(x + 15)(x+11) = 0
=>x = -15,-11
II.y^2 +30y + 209 =0
=>y^2 + 19y + 11y + 209 =0
=>(y+11)(y+19) = 0
=>y = -11,-19
No relation

5. I.x^2 + 2x – 24 = 0
II.y^2 + 2y – 15 = 0
x >= y
x > y
y > x
y >= x
No relation
Option E
I.x^2 + 2x – 24 = 0
=>x^2 +6x – 4x – 24 = 0
=>(x+6)(x-4) = 0
=>x = -6,4
II.y^2 + 2y – 15 = 0
=>y^2 + 5y – 3y – 15 = 0
=>(y+5)(y -3) = 0
=>y =-5,3
No relation

6. Directions(6-10): Answer the following questions based on the given information.
The pie-chart given below shows the distribution of laptops manufactured by five different companies i.e. Sony, Lenovo, HP, Dell and Acer either in degree measures or in absolute value. 7. Laptops manufactured by Sony are how much percent more or less than the number of laptops manufactured by HP?
25.05%
42.42%
30.15%
33.33%
27.17%
Option D
Let the total number of laptops manufactured by all companies be x.
[360 – (72+90+108+36)] *x/360 = 720
=>x = 4800
Difference = 1440 – 960 = 480
Required% = 480/1440*100 = 33.33%

8. What is the average number of laptops manufactured by all companies together?
900
888
960
874
745
Option C
Average = 4800/5 = 960

9. Dell and Lenovo do not sell 20% and 25% resp. of total laptops manufactured by them, find the ratio of laptops sold by them.
13:19
9:7
16:9
14:15
12:7
Option C
Ratio =(0.80*1200): (0.75*720) = 16:9

10. What is the percentage of laptops manufactured by Lenovo?
30%
25%
20%
15%
10%
Option D
Percentage = 720/4800*100 = 15%

11. What is the difference between the number of laptops manufactured by Dell and that by Acer?
520
625
720
700
660
Option C
Difference = 1200-480 = 720