# Quant Test for IBPS PO Prelims Exam set – 10

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

1. I.15x^2 – 16x + 4 = 0
II.4y^2 – 19y + 12 = 0
y >= x
x >= y
y > x
x > y
No relation
Option C
I.15x^2 – 16x + 4 = 0
=>15x^2 – 10x – 6x + 4 = 0
=>(3x-2)(5x-2) = 0
=>x = 2/3,2/5
II.4y^2 – 19y + 12 = 0
=>4y^2 – 16y – 3y + 12 =0
=>(4y-3)(y-4) = 0
=>y = ¾,4
y > x

2. I.x^2 – 8x + 15 = 0
II.y^2 – 13y + 42 = 0
y >= x
x > y
x >= y
y > x
No relation
Option D
I.x^2 – 8x + 15 = 0
=>x^2 – 3x – 5x + 15 = 0
=>(x – 3)(x – 5) = 0
=>x = 3,5
II.y^2 – 13y + 42 = 0
=>y^2 – 7y – 6y + 42 =0
=>(y -7)(y – 6) = 0
=>y = 7,6
y > x

3. I.x^2 – 20x + 96 = 0
II.y^2 – 13y + 40 = 0
y >= x
No relation
y > x
x >= y
x > y
Option D
I.x^2 – 20x + 96 = 0
=>x^2 – 12x – 8x + 96 = 0
=>(x-8)(x – 12) = 0
=>x = 8,12
II.y^2 – 13y + 40 = 0
=>y^2 – 8y – 5y + 40 = 0
=>(y-8)(y-5) = 0
=>y = 8,5
x >= y

4. I.5x^2 – 27x + 10 =0
II.y^2 – 14y + 48 = 0
x > y
No relation
y > x
y >= x
x >= y
Option C
I.5x^2 – 27x + 10 =0
=>5x^2 – 25x – 2x + 10= 0
=>(x-5)(5x – 2) = 0
=>x = 5,2/5
II.y^2 – 14y + 48 = 0
=>y^2 -8y – 6y + 48 = 0
=>(y – 8)(y-6) = 0
=>y = 8,6
y > x

5. I.7x + 5y = 63
II.5x + 3y = 41
y >= x
x > y
y > x
x >= y
No relation
Option C
On solving both the equations, we get
x = 4
y = 7
y > x

6. Directions(6-10): Answer the questions based on the following information.
The given chart shows the expenditure and savings (in Rs.) of Suraj in different months.
Income = Expenditure + Savings

7. Income of Suraj in January is what percentage more or less than the expenditure of Suraj in same month?
80%
68%
66%
75%
70%
Option D
Income in January = 2400+1800 = Rs.4200
Percentage = [(4200-2400)/2400]*100 = 75%

8. Find the ratio of expenditure of Suraj in March to the savings of Suraj in March.
10:9
1:2
4:3
6:5
5:7
Option D
Required ratio = 3000:2500 = 6:5

9. Income of Suraj in May is how much more than income of Suraj in January.
Rs.2200
Rs.2500
Rs.2600
Rs.2100
Rs.2800
Option E
Income of January = 2400+1800 = Rs.4200
Income of March = 4500+2500 = Rs.7000
Difference = 7000 – 4200 = Rs.2800

10. Income of Suraj in June is 25% more than the income of Suraj in April, and the respective ratio of expenditure to savings in June is 3:2. Find the savings of Suraj in June.
Rs.4200
Rs.3900
Rs.2800
Rs.3100
Rs.2000
Option C
Income of Suraj in April = 3600+2000 = Rs.5600
Income of Suraj in June = 5600*1.25 = Rs.7000
Savings in June = 2/5*7000 = Rs.2800

11. Find the average of the income of Suraj in February, March and May taken together.
Rs.4000
Rs.6100
Rs.4500
Rs.5800
Rs.5000
Option D
Average = (5000+5400+7000)/3 = Rs.5800