SBI PO Prelims Quantitative Aptitude Questions 2019 (Day-36)

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Directions (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) 5x – 4y = -7

II) 3x – 5y = 1

2) I) 2x2 + 2x – 12 = 0

II) 3y2 – 2y – 8 = 0

3) I) 4x2 – 8x – 32 = 0

II) 2y2 – 3y – 27 = 0

4) I) 3x2 + 8x + 5 = 0

II) 4y2 + 15y + 14 = 0

5) I) x2 – 5x + 6 = 0

II) y2 – 8y + 15 = 0

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

The following bar graph shows the number of mobile users (in thousands) of three brands (i.e., Samsung, Redmi and Nokia) in different cities.

6) Find the difference between the total female using Samsung mobile from city P to that of total male using Nokia mobile from city T, if the percentage of  total male using Samsung mobile from city P is 52 % and the ratio of total male to that of female using Nokia mobile from city T is 3 : 2?

a) 3850

b) 4680

c) 4920

d) 5130

e) None of these

7) Find the ratio between the total number of Samsung users to that of total number of Redmi users in all the given cities together?

a) 107: 88

b) 56: 39

c) 12: 5

d) 234: 187

e) None of these

8) Find the average number of Nokia users in all the given cities together?

a) 28500

b) 36800

c) 33600

d) 22400

e) None of these

9) Total mobile phone users in city Q of all the given brands together is approximately what percentage more/less than the total mobile phone users of city S of all the given brands together?

a) 15 % more

b) 15 % less

c) 25 % more

d) 5 % less

e) 25 % less

10) Total number of female using Redmi mobile from the city Q and R together is approximately what percentage of total number of male using Nokia mobile from city P and T together, if the percentage of total male using Redmi mobile from city Q and R is 60 % and 46 % respectively and the ratio of total male to that of female using Nokia mobile from city P and T is 8 : 7 and 2 : 3 respectively?

a) 85 %

b) 112 %

c) 79 %

d) 66 %

e) 125 %

Answers :

Directions (1 – 5):

1) Answer: c)

5x – 4y = -7 –> (1)

3x – 5y = 1 –> (2)

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

x = -3, y = -2

x < y

2) Answer: e)

I) 2x2 + 2x – 12 = 0

2x2 + 6x – 4x – 12 = 0

2x (x + 3) – 4 (x + 3) = 0

(2x – 4) (x + 3) = 0

x = 2, -3

II) 3y2 – 2y – 8 = 0

3y2 – 6y + 4y – 8 = 0

3y (y – 2) + 4 (y – 2) = 0

(3y + 4) (y – 2) = 0

y = -4/3, 2 = -1.33, 2

Can’t be determined

3) Answer: e)

I) 4x2 – 8x – 32 = 0

4x2 – 16x + 8x – 32 = 0

4x (x – 4) + 8 (x – 4) = 0

(4x + 8) (x – 4) = 0

x = -2, 4

II) 2y2 – 3y – 27 = 0

2y2 + 6y – 9y – 27 = 0

2y (y + 3) – 9 (y + 3) = 0

(2y – 9) (y + 3) = 0

y = 9/2, -3 = 4.5, -3

Can’t be determined

4) Answer: a)

I) 3x2 + 8x + 5 = 0

3x2 + 3x + 5x + 5 = 0

3x (x + 1) + 5 (x + 1) = 0

(3x + 5) (x + 1) = 0

x = -5/3, -1 = -1.67, -1

II) 4y2 + 15y + 14 = 0

4y2 + 8y+ 7y + 14 = 0

4y (y + 2) + 7 (y + 2) = 0

(4y + 7) (y + 2) = 0

y = -7/4, -2 = – 1.75, – 2

x > y

5) Answer: d)

I) x2 – 5x + 6 = 0

(x – 3) (x – 2) = 0

x = 3, 2

II) y2 – 8y + 15 = 0

(y – 3) (y – 5) = 0

y = 3, 5

x y

Directions (Q. 6 – 10):

6) Answer: c)

The total female using Samsung mobile from city P

= > 21000*(48/100) = 10080

The total male using Nokia mobile from city T

= > 25000*(3/5) = 15000

Required difference = 15000 – 10080 = 4920

7) Answer: a)

The total number of Samsung users in all the given cities together

= > (21 + 28 + 19 + 24 + 15) thousands

= > 107000

The total number of Redmi users in all the given cities together

= > (16 + 12 + 22 + 20 + 18) thousands

= > 88000

Required ratio = 107000: 88000 = 107: 88

8) Answer: d)

The average number of Nokia users in all the given cities together

= > (21000 + 17000 + 26000 + 23000 + 25000)/5

= > 112000/5 = 22400

9) Answer: b)

Total mobile phone users in city Q of all the given brands together

= > 28000 + 12000 + 17000 = 57000

Total mobile phone users of city S of all the given brands together

= > 24000 + 20000 + 23000 = 67000

Required % = [(67000 – 57000)/67000]*100 = 15 % less

10) Answer: c)

Total number of female using Redmi mobile from the city Q and R together

= > 12000*(40/100) + 22000*(54/100)

= > 4800 + 11880 = 16680

Total number of male using Nokia mobile from city P and T together

= > 21000*(8/15) + 25000*(2/5)

= > 11200 + 10000 = 21200

Required % = (16680/21200)*100 = 78.667 % = 79 %

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