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):** Find the relation between x and y and choose a correct option.

- I. 8x
^{2}+ 6x + 1 = 0

II. 5y^{2}+ 8y â€“ 4 = 0y>=xx>yx>=yy>xx=y or no relation cannot be established.Option E

I. 8x^{2}+ 6x + 1 = 0

8x^{2}+ 6x + 1 = 0

8x^{2}+ 4x + 2x + 1 = 0

x = -1/4, -1/2

II. 5y^{2}+ 8y â€“ 4 = 0

5y^{2}+ 8y â€“ 4 = 0

5y^{2}+ 10y â€“ 2y â€“ 4 = 0

y = -2, 2/5

x = y or relationship cannot be determined - I. 12x
^{2}â€“ 5x â€“ 3 = 0

II. 4y^{2}â€“ 11y + 6 = 0y>=xy>xx>=yx=y or no relation cannot be established.x>yOption A

I. 12x^{2}â€“ 5x â€“ 3 = 0

12x^{2}â€“ 5x â€“ 3 = 0

12x^{2}+ 4x â€“ 9x â€“ 3 = 0

x = -1/3, 3/4

II. 4y^{2}â€“ 11y + 6 = 0

4y^{2}â€“ 8y â€“ 3y + 6 = 0

y= 3/4, 2

x â‰¤ y - I. 2x
^{2}â€“ (6 + âˆš3)x + 3âˆš3 = 0

II. 3y^{2}â€“ (9 + âˆš3)y + 3âˆš3 = 0x=y or no relation cannot be established.y>xx>yy>=xx>=yOption A

I. 2x^{2}â€“ (6 + âˆš3)x + 3âˆš3 = 0

2x^{2}â€“ 6x â€“ âˆš3x + 3âˆš3 = 0

2x (x- 3) â€“ âˆš3 (x â€“ 3) = 0

x = 3, âˆš3/2 (0.7)

II. 3y^{2}â€“ (9 + âˆš3)y + 3âˆš3 = 0

3y^{2}â€“ 9y â€“ âˆš3y + 3âˆš3 = 0

3y (y â€“ 3) â€“ âˆš3 (y â€“ 3) = 0

y = 3, âˆš3/3 (0.6)

x = y or relationship cannot be determined - I. 9/âˆšx + 8/(âˆšx +1) = 5

II. 12/âˆšy â€“ 4/âˆšy = 2x>=yy>=xx>yx=y or no relation cannot be established.y>xOption E

I. 9/âˆšx + 8/(âˆšx +1) = 5

9/âˆšx + 8/(âˆšx +1) = 5

[9(âˆšx +1) + 8âˆšx]/[âˆšx * (âˆšx +1)] = 5

17âˆšx + 9 = 5 (x + âˆšx)

5x â€“ 12âˆšx â€“ 9 = 0

5x â€“ 15âˆšx + 3âˆšx â€“ 9 = 0

5âˆšx (âˆšx â€“ 3) + 3 (âˆšx â€“ 3) = 0

âˆšx cannot be -3/3

So âˆšx = 3

x = 9

II. 12/âˆšy â€“ 4/âˆšy = 2

12/âˆšy â€“ 4/âˆšy = 2

8/âˆšy = 2

âˆšy = 4

y = 16

y > x - I. 4x
^{2}â€“ 23x + 30 = 0

II. 4y^{2}â€“ 3y â€“ 45 = 0y>=xx>yx>=yy>xx=y or no relation cannot be established.Option E

I. 4x^{2}â€“ 23x + 30 = 0

4x^{2}â€“ 23x + 30 = 0

x^{2}â€“ 15x â€“ 8x + 30 = 0

x = 15/4, 2

II. 4y^{2}â€“ 3y â€“ 45 = 0

4y^{2}â€“ 3y â€“ 45 = 0

4y^{2}+ 12y â€“ 15y â€“ 45 = 0

y = -3, 15/4

x = y or relation cannot be established - What is the average number of employees in Accounts, Admission and Research department together?
16201700152517221202Option D

Number of employees in Accounts Department

=17 * 12600/100 = 1890

Average = 2142 + 1134 + 1890/3

= 5166/3 = 1722 - What is the difference between the total number of employees in the department of HR and Admission together and the total number of employees in Accounts and Examination department together?
22682200204025253500Option A

Difference = (38% of 12600 â€“ 20% of 12600)

= 18% of 12600

= 18 * 12600/100

= 2268 - The number of employees in Examination department is approximately what percentage of the total number of employees in the department of HR and Academic Affairs together?
4055306080Option B

Number of employees in examination department

= 21 * 12600/100 = 2646

Number of employees in the HR Department = 11 * 12600/100 =1386

Number of employees in Academic Affairs 27 * 12600/100 = 3402

Total number of employees in both the departments Academic Affairs and HR together = 3402 + 1386 = 4788

Required % = 2646/4748*100 = 55.26 == 55 - If 30 per cent of the number of employees of Research department is females, then what is the number of male employees in the Research department?
14701350145416001323Option E

Number of employees in Research Department = 15 * 12600/100 =1890

female employees in Research department = 1890 * 30/100 = 567

Hence, number of male employees in Research department = 1890 – 567

= 1323 - The number of employees in the department of Academic Affairs is approximately what per cent more than the number of employees in Examination department?
18%10%29%31%14%Option C

Number of employees in Academic affairs

= 27 * 12600/100 = 3402

Number of employees in Examination Department = 21 * 12600/100 = 2646

Required % = (3402 â€“ 2646)/2646*100 = 28.57 == 29%

**Directions(6-10):** Study the following pie-chart and answer the following questions.

Total number of Employees = 12600 Percentage-wise distribution of Employees