Hello Aspirants

**State Bank of India (SBI)** is going to conduct examination for its recruitment for the post of Probationary Officers (SBI PO 2018) for a total of 2000 vacancies.

Click here to know the details of the Examination

The examination will be held in three phases i.e. Preliminary Examination, Main Examination and Group Exercise & Interview. The Preliminary Exam is scheduled onÂ **1st, 7th & 8th of July 2018. **Details of the exam are as under:

Practice the questions so as to familiarize yourself with the pattern of questions to be asked in the exam.Â

**Directions(1-5):** In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly.

- I. xÂ² + 29x + 208 = 0

II. yÂ² + 19y + 78 = 0y>=xy>xx>yx=y or relation cannot be established.x>=yOption A

xÂ² + 29x + 208 = 0

x = -13, -16

yÂ² + 19y + 78 = 0

y = -13, -6

x â‰¤ y - I. 3x
^{2}+ 19x + 28 = 0

II. 3y^{2}+ 13y + 14 = 0x=y or relation cannot be established.x>=yy>xy>=xx>yOption D

3x^{2}+ 19x + 28 = 0

3x^{2}+ 12x + 7x + 28 = 0

x = -4, -7/3

3y^{2}+ 13y + 14 = 0

3y^{2}+ 6y + 7y + 14 = 0

y = -7/3, -2

x â‰¤ y - I. 2x
^{2}â€“ 19x + 42 = 0

II. 3y^{2}â€“ 13y + 12 = 0x>yx=y or relation cannot be established.y>=xy>xx>=yOption A

2x^{2}â€“ 19x + 42 = 0

2x^{2}â€“ 12x â€“ 7x + 42 = 0

x = 7/2, 6

3y^{2}â€“ 13y + 12 = 0

3y^{2}â€“ 9y + 4y + 12 = 0

y = 4/3, 3

x > y - I. 4x
^{2}+ 3x â€“ 27 = 0

II. 15y^{2}â€“ 38y â€“ 21 = 0x=y or relation cannot be established.x>yx>=yy>xy>=xOption A

4x^{2}+ 3x â€“ 27 = 0

4x^{2}+ 12x â€“ 9x â€“ 27 = 0

x =2.25, -3

15y^{2}â€“ 38y â€“ 21 = 0

15y^{2}â€“ 45y + 7y â€“ 21 = 0

y = 3, â€“ 0.46

x = y or relation cannot be established . - I. 6×2 + 7x -3 = 0

II. y (10y â€“ 1) = 2x>=yy>xy>=xx>yx=y or relation cannot be established.Option E

6 x^{2}+ 7x -3 = 0

6 x^{2}+ 9x â€“ 2x â€“ 3 = 0

x = -1.5, 0.3

y (10y â€“ 1) = 2

10y^{2}â€“ y â€“ 2 = 0

10y^{2}â€“ 5y + 4y â€“ 2 = 0

y = 0.5, -0.4

x = y or relation cannot be established . - The number of employees interested in Gymnastics is what percentage of the number of employees interested in Hockey? (Calculate approximate percentage)
12%21%19%33%10%Option B

Number of employees interested in Gymnastics

= 65000 * 2.5/100 = 1625

Number of employees interested in Hockey

= 65000 * 12/100 = 7800

Required % = 1625/7800 Ã— 100

= 20.83% == 21% - What is the difference between the number of employees interested in Cricket and the total number of employees interested in Baseball, Hockey and Gymnastics together?
850900700450650Option E

Required difference

= 65000/100*{30 – (14.5 + 12 + 2.5)}

= 65000/100* (30 – 29) = 650 - The number of employees interested in Hockey is approximately what per cent of the employees interested in Football, Atheletics and Baseball together?
22%40%15%30%24%Option A

Number of employees interested in Hockey

= 65000 * 12/100 = 7800

Number of employees interested in Football, Athletics and Baseball together = 65000(21 + 20 + 14.5)/100

= 650 Ã— 55.5 = 36075

Required % = 7800/36075 Ã— 100 = 21.62 == 22% - The number of employees interested in Athletics is approximately what per cent of the number of employees interested in Baseball?
133%128%100%138%150%Option D

Number of employees interested in Athletics

= 65000 * 20/100 = 13000

Number of employees interested in Baseball = 65000 * 14.5/100 = 9425

Required % = 13000/9425*100 = 137.93 = 138% - What is the ratio of employees interested in Gymnastics to the number of employees interested in Baseball?
5 : 225 : 294 : 193 : 177 : 23Option B

Required ratio = 2.5/14.5

=25/145 = 5 : 29

**
Directions(6-10):** Study the information carefully and answer the questions that

follow:

The following pie-chart shows the percentage of employees of Bank X who are interested in

different sports activities.