LIC AAO/SBI PO Prelims Quantitative Aptitude Questions 2019 (Day-28)

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Directions (Q. 1 – 5): 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

1)

I) x2 – 3x – 28 = 0

II) y2 – y – 72 = 0

2)

I) 2x2 – 6x – 36 = 0

II) 3y2 + 24y + 45 = 0

3)

I) 4x2 – 2x – 12 = 0

II) y2 – 9y + 20 = 0

4)

I) 9x + 8y = 4 + 5x + 13y

II) 5x – 4y = 2 + 2x

5)

I) 2x2 + 13x + 20 = 0

II) 3y2 – y – 10 = 0

Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:

The following bar graph shows the total expenses of five different companies and the table shows the profit % of those companies also given.

Note:

Profit earned = Sales turn over – Expenses

Profit % = (Profit earned/Expenses)*100

6) Find the average sales turnover of company P and T together?

a) Rs. 34500

b) Rs. 38800

c) Rs. 32300

d) Rs. 41600

e) None of these

7) Find the difference between the profit earned by company Q to that of company S?

a) Rs. 6300

b) Rs. 6700

c) Rs. 4200

d) Rs. 5800

e) None of these

8) Find the ratio between the expenses of company P and R together to that of the expenses of company Q and T together?

a) 27: 52

b) 34: 55

c) 15: 34

d) 53: 76

e) None of these

9) The profit earned by company P is approximately what percentage more/less than the profit earned by company R?

a) 10 % less

b) 25 % more

c) 25 % less

d) 10 % more

e) 15 % more

10) Find the difference between the sales turnover of company Q and R together to that of the expenses of company S and T together?

a) Rs. 7450

b) Rs. 8600

c) Rs. 8050

d) Rs. 9500

e) None of these

Answers:

1) Answer: e)

I) x2 – 3x – 28 = 0

(x + 4) (x – 7) = 0

X = -4, 7

II) y2 – y – 72 = 0

(y + 8) (y – 9) = 0

Y = -8, 9

Can’t be determined

2) Answer: b)

I) 2x2 – 6x – 36 = 0

2x2 – 12x + 6x – 36 = 0

2x (x – 6) + 6 (x – 6) = 0

(2x + 6) (x – 6) = 0

X = -3, 6

II) 3y2 + 24y + 45 = 0

3y2 + 9y + 15y + 45 = 0

3y (y + 3) + 15 (y + 3) = 0

(3y + 15) (y + 3) = 0

Y = -15/3, -3 = -5, -3

X ≥ y

3) Answer: c)

I) 4x2 – 2x – 12 = 0

4x2 – 8x + 6x – 12 = 0

4x (x – 2) + 6 (x – 2) = 0

(4x + 6) (x – 2) = 0

X = -6/4, 2 = -1.5, 2

II) y2 – 9y + 20 = 0

(y – 4) (y – 5) = 0

Y = 4, 5

X < y

4) Answer: a)

I) 9x + 8y = 4 + 5x + 13y

9x – 5x + 8y – 13y = 4

4x – 5y = 4 —> (1)

II) 5x – 4y = 2 + 2x

5x – 2x – 4y = 2

3x – 4y = 2 –> (2)

By solving (1) and (2), we get,

X = 6, y = 4

X > y

5) Answer: c)

I) 2x2 + 13x + 20 = 0

2x2 + 8x + 5x + 20 = 0

2x(x + 4) + 5(x + 4) = 0

(2x + 5) (x + 4) = 0

X = -5/2, -4 = -2.5, -4

II) 3y2 – y – 10 = 0

3y2 – 6y + 5y – 10 = 0

3y(y – 2) + 5(y – 2) = 0

(3y + 5) (y – 2) = 0

Y = -5/3, 2 = -1.66, 2

X < y

Directions (6-10):

6) Answer: b)

The average sales turnover of company P and T together

= > [28000*(120/100) + 40000*(110/100)]/2

= > (33600 + 44000)/2

= > 77600/2 = Rs. 38800

7) Answer: a)

Profit earned = Sales turn over – Expenses

The profit earned by Company Q

= > Sales turnover of company Q – Expenses of company Q

= > [36000*(130/100)] – 36000

= > 46800 – 36000 = Rs. 10800

The profit earned by Company S

= > Sales turnover of company S – Expenses of company S

= > [30000*(115/100)] – 30000

= > 34500 – 30000 = Rs. 4500

Required difference = 10800 – 4500 = Rs. 6300

8) Answer: d)

The expenses of company P and R together

= > 28000 + 25000 = Rs. 53000

The expenses of company Q and T together

= > 36000 + 40000 = Rs. 76000

Required ratio = 53000: 76000 = 53: 76

9) Answer: a)

The profit earned by company P

= > Sales turnover of company P – Expenses of company P

= > [28000*(120/100)] – 28000

= > 33600 – 28000 = Rs. 5600

The profit earned by company R

= > Sales turnover of company R – Expenses of company R

= > [25000*(125/100)] – 25000

= > 31250 – 25000 = Rs. 6250

Required % = [(6250 – 5600)/6250]*100 = 10.4 % = 10 % less

10) Answer: c)

The sales turnover of company Q and R together

= > [36000*(130/100)] + [25000*(125/100)]

= > 46800 + 31250 = Rs. 78050

The expenses of company S and T together

= > 30000 + 40000 = Rs. 70000

Required difference = 78050 – 70000 = Rs. 8050

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