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 on **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.

**Directions(1-5):** Find the relation between x and y and choose a correct option.

- I. 5x^2 – 29x + 36 = 0

II. 10y^2 – 3y – 27 = 0y>xx=y or relation cannot be established.x>yy>=xx>=yOption E

I. 5x^2 – 29x + 36 = 0

=> 5x^2 – 20x – 9x + 36 = 0

=> 5x(x-4) – 9(x-4) = 0

=> (x-4)(5x-9) = 0

=> x = 4 , 9/5

II. 10y^2 – 3y – 27 = 0

=> 10y^2 – 18y + 15y – 27 = 0

> 2y (5y-9) + 3(5y – 9) = 0

=> y = 9/5 , -3/2

x>=y - I. 7x^2 – 54x + 99 =0

II. 4y^2 – 16y + 15 = 0x>yx>=yy>=xy>xx=y or relation cannot be established.Option A

I. 7x^2 – 54x + 99 =0

=> 7x^2 – 33x – 21x + 99 =0

=> x(7x – 33) – 3(7x – 33) = 0

=> x = 333/7 , 3

II. 4y^2 – 16y + 15 = 0

=> 4y^2 – 10y – 6y + 15 = 0

=> 2y (2y – 5) – 3(2y-5) = 0

=> y = 5/2 , 3/2

x>y - I. x^2 – 6x – 91 = 0

II. y^2 – 32y + 247 = 0y>=xx>yx>=yx=y or relation cannot be established.y>xOption A

I. x^2 – 6x – 91 = 0

=> x^2 – 13x + 7x – 91 = 0

=> x = 13, -7

II. y^2 – 32y + 247 = 0

=> y^2 – 19y -13y + 247 = 0

=> y = 19, 13

x ≤ y - I. x^2 + 5x – 14 = 0

II. y^2 + 24y + 128 = 0x=y or relation cannot be established.y>xy>=xx>=yx>yOption E

I.x^2 + 5x – 14 = 0

=> x^2 + 7x – 2x – 14 = 0

=> x = -7, 2

II. y^2 + 24y + 128 = 0

=> y^2 + 16y + 8y + 128 = 0

=> y = -16, -8

x > y - I. x^2 + x – 30 = 0

II. y^2 – 11y + 30 = 0x=y or relation cannot be established.x>=yy>xx>yy>=xOption E

I. x^2 + x – 30 = 0

=> x^2 + 6x – 5x – 30 = 0

=> x = – 6, 5

II. y^2 – 11y + 30 = 0

=> y^2 – 5y – 6y + 30 = 0

=> y = 5, 6

x ≤ y - What is the total number of men studying Banking and International Business?
10501500102010151000Option D

The required number of men

= 675 + 340

= 1015 - In which specialisation do the maximum number of women study?
MarketingFinanceITHRBankingOption C

IT - What is the total number of men studying in the institute?
24212312250521022200Option A

2421 - The number of women studying Finance is what per cent of the number of men studying the same?
70%50%30%60%80%Option E

The required per cent

= (4/5)*100 = 80% - The number of women studying Marketing is approximately what per cent of the total number of students in the institute?
5%7%9%2%4%Option B

The required per cent = 5/12*16%

= 6(2/3)% == 7%

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

Percentage of students studying different specialisations in a management institute.

**Ratio of men to women in each specialisation**