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 accordingly.

- I. (17)^2 + 144 /18 = x

II. (26)^2 – 18*21 = yx>=yx>yy>=xy>xx=y or relation cannot be established.Option D

I. (17)^{2}+ 144 /18 = x

=> x = 297

II. (26)^{2}– 18*21 = y

=>y = 298

y>x - I. 16x
^{2}-106x +13=0

II. 8y^{2}+ 47y â€“ 6 = 0y>xy>=xx=y or relation cannot be established.x>yx>=yOption E

I. 16x^{2}-106x +13=0

16x^{2}â€“ 104x â€“ 2x + 13 =0

=> (2x – 13)(8x – 1)=0

=> x= 13/2 , 1/8

II. 8y^{2}+ 47y â€“ 6 = 0

8y^{2}+ 48y -1y â€“ 6 =0

=> (y+6)(8y – 1) = 0

=> y = -6, 1/8

x>=y - I. x
^{2}â€“ 529 = 0

II. y^{3}-19683 = 0x>yx=y or relation cannot be established.x>=yy>=xy>xOption E

I. x^{2}â€“ 529 = 0

=> x = +23, -23

II. y^{3}-19683 = 0

=> y = 27

y>x - I. 40x
^{2}-101x +12 =0

II. 40y^{2}â€“ 13y + 1 =0x>=yy>=xy>xx>yx=y or relation cannot be established.Option A

I. 40x^{2}-101x +12 =0

40x^{2}â€“ 96x â€“ 5x + 12 =0

=> (5x – 12)(8x – 1) = 0

=> x = 12/5, 1/8

II. 40y^{2}â€“ 13y + 1 =0

40y^{2}– 8y â€“ 5y + 1 =0

=> (8y – 1)(5y – 1) = 0

=> y = 1/8, 1/5

x>=y - I. 55x
^{2}â€“ 495x + 1100 =0

II. 5y^{2}+ 10y – 120 = 0y>=xy>xx>=yx=y or relation cannot be established.x>yOption C

I. 55x^{2}â€“ 495x + 1100 =0

55x^{2}â€“ 220x â€“ 275x + 1100 =0

=> x = 4,5

II. 5y^{2}+ 10y – 120 = 0

5y^{2}+ 30y â€“ 20y â€“ 120 =0

=> y = -6,4

x>=y - The number of appeared candidates from State B increased by 100% from 2010 to 2011. If the total number of qualified candidates from State B in 2010 and 2011 together is 408, what is the number of appeared candidates from State B in 2010?
300280340330310Option C

Let the number of appeared candidates form State B in 2010 be x.

Then number of appeared candidates in 2012 = x + (x*100)/100 = 2x

Now, (x*30)/100 + (2x*45)/100 = 408

=>12x = 408*10

=> x= 340 - If the ratio of the number of qualified candidates from State A in 2013 to that in 2014 is 14:9, what is the number of qualified candidates from State A in 2014?
150200188216110Option D

In 2013, number of qualified candidates

= (480*70)/100 = 336

Let the number of qualified candidates from State A in 2013 be 14x and that in 2014 be 9x.

Then,

14x = 336

=> x = 24

So, the number of qualified candidates from State A in 2014

= 9*24 = 216 - What is the difference between the number of qualified candidates from State A in 2010 and that in 2011?
121081520Option A

Required difference

= (450*60)/100 â€“ (600*43)/100

=270-258 = 12 - If the average number of qualified candidates from State B in 2012, 2013 and 2014 is 210, what is the number of qualified candidates from State B in 2014?
125187170154136Option B

Let the percentage of candidates who qualify from State B in 2014 be x%.

Average

=> [(280*60)/100 + (550*50)/100 + 400*x%]/3= 210

=> x = 46.75%

Number of qualified candidates from State B in 2014 = (400*46.75)/100

= 187 - Out of the number of qualified candidates from State A in 2012, the ratio of male to female candidates is 11:7. If the number of female qualified candidates from State A in 2012 is 126, what is the number of appeared candidates (both male and female) from State A in 2012?
400480380520540Option E

Let the number of male and female qualified candidates be 11x and 7x respectively.

Then, 7x = 126

=> x = 18

Males = 18*11 = 198

Total number of qualified candidates = 198+126 = 324

Let the number of appeared candidates be y.

Then , y * 60% = 324

=> y = (324*100)/60 = 540

**Directions(6-10):** Study the following table carefully and answer the questions that follow.

Few values are missing in the table. A candidate is expected to calculate the missing value, if it is required to answer the given questions on the basis of the given information.