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. x
^{2}+ x – 30 = 0

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

x^{2}+ x – 30 = 0

x^{2}+ 6x – 5x – 30 = 0

x = – 6, 5

y^{2}– 11y + 30 = 0

y^{2}– 5y – 6y + 30 = 0

y = 5, 6

x ≤ y - I. x
^{2}+ 5x – 14 = 0

II. y^{2}+ 24y + 128 = 0x=y or relation cannot be established.x>=yx>yy>xy>=xOption C

x^{2}+ 5x – 14 = 0

x^{2}+ 7x – 2x – 14 = 0

x = -7, 2

y^{2}+ 24y + 128 = 0

y^{2}+ 16y + 8y + 128 = 0

y = -16, -8

x > y - I. x
^{2}– 6x – 91 = 0

II. y^{2}– 32y + 247 = 0y>xy>=xx>=yx=y or relation cannot be established.x>yOption B

x^{2}– 6x – 91 = 0

x^{2}– 13x + 7x – 91 = 0

x = 13, -7

y^{2}– 32y + 247 = 0

y^{2}– 19y -13y + 247 = 0

y = 19, 13

x ≤ y - I. x
^{2}– 2x – 15 = 0

II. y^{2}+ 22 = 122y>xx=y or relation cannot be established.y>=xx>yx>=yOption B

x^{2}– 2x – 15 = 0

x^{2}– 5x + 3x – 15 = 0

x = 5, -3

y^{2}+ 22 = 122

y^{2}= 100

y = + 10, -10

x = y or relationship cannot be determined . - I. x
^{2}– 7x + 12 = 0

II. y^{2}– 5y + 6 = 0y>=xx>yy>xx>=yx=y or relation cannot be established.Option D

x^{2}– 7x + 12 = 0

x^{2}– 3x – 4x + 12 = 0

x = 3, 4

y^{2}– 5y + 6 = 0

y^{2}– 3y – 2y + 6 = 0

y = 2, 3

x ≥ y - The average weight of four men A,B,C and D is 67 kg. The fifth man E is included and the average weight decreases by 2 kg. A is replaced by F. The weight of F is 4 kg more than E. Average weight decreases because of the replacement of A and now the average weight is 64 kg. Find the weight of A
98 kg75 kg86 kg62 kg66 kgOption E

Weight of E = (67-2)- 4*2 = 57 kg

Weight of F = 61 kg

Average weight decreased by 1 kg of replacing A.

So, weight of A = 61 + 5*1 = 66 kg - Train A starts its journey from P to Q while B starts from Q to P. After crossing each other they finish their journey in 81 hours and 121 hours respectively. Then what will be the speed of train B if train A speed is 44 km/hr.?
45 km/hr.36 km/hr.25 km/hr.22 km/hr.40 km/hr.Option B

Ratio of their speeds = (121)^1/2 : (81)^1/2

= 11:9

B’s speed = 36 km/hr. - A, B and C are partners in a business partnership. A invested Rs.4000 for whole year. B invested Rs. 6000 initially but increased this investment upto Rs. 8000 at the end of 4 months, while C invested Rs. 8000 initially, but withdraw Rs. 2000 at the end of 9 months. At the end of year total earned profit is Rs. 16950 , find the share of profit C.
67506550775057506050Option A

A : B : C = 4000*12 : 6000*4 + 8000*8 : 8000*9+6000*3

= 48 : 88 : 90

= 24 : 44 : 45 == total 113

A = 3600 B = 6600 C = 6750 - Murugan invests Rs. 4500 as fixed deposit at a bank at the rate of 3(1/2)% per annum SI. But due to some needs he has to withdraw the entire money after 2(1/2) years, for which the bank allowed him a lower rate of interest. If he gets Rs 281.25 less than what he would have got at the end of 5 years, find the rate of interest allowed by the bank .
6.0%3.3%1.5%4.5%5.2%Option D

P=4500

R=3.5%

T=5

[4500 × 3.5 × 5]/ 100 – [4500 × 5 × 𝑅]/ [100 × 2] = 281.25

112.5R=787.5-281.25

112.5R=506.25

R=4.5% - Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
9/209/207/2011/217/12Option B

S = {1, 2, 3, 4, …., 19, 20}.

Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.

P(E) = n(E)/n(S) = 9/20.