# LIC AAO/SBI PO Prelims Quantitative Aptitude Questions 2019 (Day-24)

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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 â‰¥ y

c) If x < y

d) If x â‰¤ y

e) If x = y or the relation cannot be established

1)

I) 8x â€“ 3y = -4

II) 9x â€“ 4y = -2

2)

I) x2 + 5x â€“ 126 = 0

II) y2 â€“ 4y â€“ 77 = 0

3)

I) x3 + (156 Ã· 4) â€“ 12 % of 50 = 60

II) y2 â€“ 12y + 27 = 0

4)

I) 2x2 â€“ 5x â€“ 33 = 0

II) y2 â€“ 17y + 66 = 0

5)

I) x2 = âˆ›140608 + (3/35) of 140

II) y3 = 729

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

The following bar graph shows the cost price of 6 different items.

6) Find the ratio between the marked price of item A to the cost price of item C, if the mark-up % of item A is 25 %?

a) 23 : 27

b) 19 : 22

c) 37 : 45

d) 15 : 16

e) None of these

7) Find the average cost price of item B, D and F together?

a) Rs. 450

b) Rs. 420

c) Rs. 380

d) Rs. 540

e) None of these

8) Find the difference between the selling price of item C to that of item E, if the profit % of item C is 20 % and loss % of item E is 10 %?

a) Rs. 70

b) Rs. 145

c) Rs. 105

d) Rs. 180

e) None of these

9) Find the approximate profit % of item P, if the cost price of item P is 75 % of cost price of item D and the selling price of item P is equal to the cost price of item B?

a) 7 % loss

b) 11 % profit

c) 18 % profit

d) 15 % loss

e) 23 % profit

10) The cost price of item A and E together is approximately what percentage of the cost price of item D and F together?

a) 95 %

b) 78 %

c) 143 %

d) 112 %

e) 130 %

8x â€“ 3y = -4 –> (1)

9x â€“ 4y = -2 –> (2)

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

X = -2, y = -4

X > y

I) x2 + 5x â€“ 126 = 0

(x â€“ 9) (x + 14) = 0

X = 9, -14

II) y2 â€“ 4y â€“ 77 = 0

(y â€“ 11) (y + 7) = 0

Y = 11, -7

Canâ€™t be determined

I) x3 + (156 Ã· 4) â€“ 12 % of 50 = 60

X3 + (156/4) â€“ (12/100)*50 = 60

X3 = 60 â€“ 39 + 6

X3 = 27

X = 3

II) y2 â€“ 12y + 27 = 0

(y â€“ 9) (y â€“ 3) = 0

Y = 9, 3

X â‰¤ y

I) 2x2 â€“ 5x â€“ 33 = 0

2x2 + 6x â€“ 11x â€“ 33 = 0

2x (x + 3) â€“ 11 (x + 3) = 0

(2x â€“ 11) (x + 3) = 0

X = 11/2, -3 = 5.5, -3

II) y2 â€“ 17y + 66 = 0

(y â€“ 11) (y â€“ 6) = 0

Y = 11, 6

X < y

I) x2 = âˆ›140608 + (3/35)*140

X2 = 52 + 12 = 64

X = 8, -8

II) y3 = 729

Y = 9

X < y

The marked price of item A

= > 300*(125/100) = Rs. 375

The cost price of item C = Rs. 400

Required ratio = 375 : 400 = 15 : 16

The average cost price of item B, D and F together

= > (500 + 600 + 250)/3

= > 1350/3 = Rs. 450

The selling price of item C = 400*(120/100) = Rs. 480

The selling price of item E = 650*(90/100) = Rs. 585

Required difference = 585 â€“ 480 = Rs. 105

The cost price of item P

= > 75 % of cost price of item D

= > (75/100)*600 = Rs. 450

The selling price of item P = The cost price of item B = Rs. 500

Profit % = [(500 â€“ 450)/450]*100 = 11.11 % = 11 % profit

The cost price of item A and E together

= > 300 + 650 = Rs. 950

The cost price of item D and F together

= > 600 + 250 = Rs. 850

Required % = (950/850)*100 = 111.76 % = 112 %