SBI PO Prelims Quantitative Aptitude Questions 2019 (Day-51)

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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 + 18x – 88 = 0

II) y2 – 20y + 75 = 0

2)

I) 7x – 6y – 5 = 2x – 3y

II) 3x – 2y – 4 = 0

3)

I) 4x2 – 41x + 72 = 0

II) x2 + 20x – 125 = 0

4)

I) 3x2 – 10x – 57 = 0

II) y3 = 343

5)

I) 4x2 – 3x – 52 = 0

II) 3y2 – 4y – 55 = 0

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

The following bar graph shows the total number of students enrolled for membership in two different libraries P and Q in 6 different years and the table shows the percentage of female among them.

6) Find the difference between the total number of male students enrolled for membership in library P in the year 2014 and 2017 together to that of total number of female students enrolled for membership in library Q in the year 2013 and 2015 together?

a) 145

b) 180

c) 225

d) 260

e) None of these

7) Find the average number of students enrolled for membership in library P in all the given years together?

a) 2400

b) 2200

c) 2000

d) 1800

e) None of these

8) Find the ratio between the total number of female students enrolled for membership in library P in the year 2015 to that of total number of male students enrolled for membership in library Q in the year 2016?

a) 157 : 112

b) 261 : 143

c) 29 : 13

d) 55 : 32

e) None of these

9) Find the difference between the average number of female students enrolled for membership in library P in the year 2013 and 2018 together to that of average number of male students enrolled for membership in library Q in the year 2016 and 2017 together?

a) 312

b) 286

c) 204

d) 358

e) None of these

10) Total number of students enrolled for membership in library Q in the year 2013 and 2015 together is approximately what percentage of total number of students enrolled for membership in the same library in the year 2014 and 2018 together?

a) 88 %

b) 102 %

c) 117 %

d) 65 %

e) 136 %

Answers:

Directions (1-5):

1) Answer: c)

I) x2 + 18x – 88 = 0

(x + 22) (x – 4) = 0

x = -22, 4

II) y2 – 20y + 75 = 0

(y – 15) (y – 5) = 0

y = 15, 5

x < y

2) Answer: a)

I) 7x – 6y – 5 = 2x – 3y

5x – 3y = 5 –> (1)

II) 3x – 2y – 4 = 0

3x – 2y = 4 —> (2)

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

x = -2, y = -5

x > y

3) Answer: e)

I) 4x2 – 41x + 72 = 0

4x2 – 32x – 9x + 72 = 0

4x (x – 8) – 9 (x – 8) = 0

(4x – 9) (x – 8) = 0

x = 2.25, 8

II) x2 + 20x – 125 = 0

(x – 5) (x + 25) = 0

x = 5, -25

Can’t be determined

4) Answer: c)

I) 3x2 – 10x – 57 = 0

3x2 + 9x – 19x – 57 = 0

3x (x + 3) – 19 (x + 3) = 0

(3x – 19) (x + 3) = 0

x = 19/3, -3 = 6.33, -3

II) y3 = 343

y = 7

x < y

5) Answer: e)

I) 4x2 – 3x – 52 = 0

4x2 – 16x + 13x – 52 = 0

4x (x – 4) + 13 (x – 4) = 0

(4x + 13) (x – 4) = 0

x = -13/4, 4 = -3.25, 4

II) 3y2 – 4y – 55 = 0

3y2 – 15y + 11y – 55 = 0

3y (y – 5) + 11 (y – 5) = 0

(3y + 11) (y – 5) = 0

y = -11/3, 5 = -3.66, 5

Can’t be determined

Directions (6-10):

6) Answer: a)

The total number of male students enrolled for membership in library P in the year 2014 and 2017 together

= > 1400*(45/100) + 1900*(50/100)

= > 630 + 950 = 1580

The total number of female students enrolled for membership in library Q in the year 2013 and 2015 together

= > 1200*(53/100) + 1700*(47/100)

= > 636 + 799 = 1435

Required difference = 1580 – 1435 = 145

7) Answer: d)

The average number of students enrolled for membership in library P in all the given years together

= > (1600 + 1400 + 1800 + 2000 + 1900 + 2100)/6

= > 10800/6 =1800

8) Answer: b)

The total number of female students enrolled for membership in library P in the year 2015

= > 1800*(58/100) = 1044

The total number of male students enrolled for membership in library Q in the year 2016

= > 1300*(44/100) = 572

Required ratio = 1044 : 572 = 261 : 143

9) Answer: c)

The average number of female students enrolled for membership in library P in the year 2013 and 2018 together

= > [1600 * (42/100) + 2100 * (52/100)]/2

= > [672 + 1092]/2 = 882

The average number of male students enrolled for membership in library Q in the year 2016 and 2017 together

= > [1300 * (44/100) + 1400 * (56/100)]/2

= > [572 + 784]/2 = 678

Required difference = 882 – 678 = 204

10) Answer: a)

Total number of students enrolled for membership in library Q in the year 2013 and 2015 together

= > 1200 + 1700 = 2900

Total number of students enrolled for membership in the same library in the year 2014 and 2018 together

= > 1500 + 1800 = 3300

Required % = (2900/3300) * 100 = 87.87 % = 88 %

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