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 find the values of variables and state the correct relationship.

- x
^{2}-x -56=0

y^{2}+18y+80=0x>=yy>xy>=xx>yx=y or relation can’t be established.Option D

x^{2}-x -56=0 y^{2}+18y+80=0

x = 8 & -7

y = -8 & -10

Hence, x>y - 3x
^{2}-11x +10 = 0

2y^{2}-9y +9=0x>yy>xx>=yx=y or Relation can’t be establishedy>=xOption D

3x^{2}-11x +10 = 0

2y^{2}-9y +9=0

X = 2 & 5/3

y = 3 & 1.5

Hence,x=y or relation canâ€™t be established - x
^{2}+10x +21 = 0

y^{2}+ 4y + 3=0x>=yy>=xy>xx>yx=y or relation can’t be establishedOption B

x^{2}+10x +21 = 0

y^{2}+ 4y + 3=0

x = -7 & -3

y = -3 & -1

Hence, y>=x - x
^{2}â€“ 5.2x +4.8 = 0

y^{2}â€“ 11.4y + 32.4 = 0y>=xx>=yx>yy>xx=y or relation can’t be establishedOption D

x^{2}â€“ 5.2x +4.8 = 0

y^{2}â€“ 11.4y + 32.4 = 0

x = 4 & 1.2

y = 6 & 5.4

Hence, y>x - 4x +7y = 209

12x â€“ 14y = -38y>xx>=yy>=xx>yx=y or relation can’t be establishedOption E

4x +7y = 209

12x â€“ 14y = -38

x = 19

y = 19

Hence,x=y or relation canâ€™t be established - If in the year 2007 the total voters of state A is 16,21,500 then find the number of voters on the year 2005 of the same state.
13 lakh10 lakh15 lakh18 lakh12 lakhOption E

x*(115/100)*(117.5/100)= 1621500

=> x = 12,00,000 - Percentage increase in number of voters of state A in the year 2007 is approximately what percent of % increase in number of voters of state B in the year 2009.
60%45%54%30%25%Option C

Required % = (17.5/32.5)*100 = 54% - Find the average number of voters of state A over all the years .
5 lakh6 lakh1 lakh4 lakhData Inadequate.Option E

Data Inadequate. - If the number of voters of state A and state B in the year 2007 is same and total voters of state A and state B in the years 2008 is 36,60,000 then find the male voters of state B in the year 2007 if the ratio of male and female is 5:3.
7.5 lakh6 lakh8 lakh6.5 lakh5 lakhOption A

Let total voters of state A and B in the year 2007 = x

=> x*(152.5/100) = 3660000

=> x = 24

Male voters of state B = (24/2)*(5/8)*100 = 7.5 lakh - If the number of voters of state A and state B in the year 2009 are 15 lakhs and 18 lakhs respectively then find the ratio between number of voters of state A and state B in the year 2010.
120:107111:113130:153115:119None of theseOption C

Required ratio = 15*(130/100):18*(127.5/100)

= 130:153

**Directions(6-10):** Study the graph carefully and answer the given questions.

% Increase in number of voters in given two states