# Quant Test for SBI PO 2018 Prelim Exam Set – 66

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.

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.

1. I. x2 + x – 30 = 0
II. y2 – 11y + 30 = 0

x>=y
y>=x
x>y
x=y or relation cannot be established.
y>x
Option B
x2 + x – 30 = 0
x2 + 6x – 5x – 30 = 0
x = – 6, 5
y2 – 11y + 30 = 0
y2 – 5y – 6y + 30 = 0
y = 5, 6
x ≤ y

2. I. x2 + 5x – 14 = 0
II. y2 + 24y + 128 = 0

x=y or relation cannot be established.
x>=y
x>y
y>x
y>=x
Option C
x2 + 5x – 14 = 0
x2 + 7x – 2x – 14 = 0
x = -7, 2
y2 + 24y + 128 = 0
y2 + 16y + 8y + 128 = 0
y = -16, -8
x > y

3. I. x2 – 6x – 91 = 0
II. y2 – 32y + 247 = 0

y>x
y>=x
x>=y
x=y or relation cannot be established.
x>y
Option B
x2 – 6x – 91 = 0
x2 – 13x + 7x – 91 = 0
x = 13, -7
y2 – 32y + 247 = 0
y2 – 19y -13y + 247 = 0
y = 19, 13
x ≤ y

4. I. x2 – 2x – 15 = 0
II. y2 + 22 = 122

y>x
x=y or relation cannot be established.
y>=x
x>y
x>=y
Option B
x2 – 2x – 15 = 0
x2 – 5x + 3x – 15 = 0
x = 5, -3
y2 + 22 = 122
y2 = 100
y = + 10, -10
x = y or relationship cannot be determined .

5. I. x2 – 7x + 12 = 0
II. y2 – 5y + 6 = 0

y>=x
x>y
y>x
x>=y
x=y or relation cannot be established.
Option D
x2 – 7x + 12 = 0
x2 – 3x – 4x + 12 = 0
x = 3, 4
y2 – 5y + 6 = 0
y2 – 3y – 2y + 6 = 0
y = 2, 3
x ≥ y

6. 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 kg
75 kg
86 kg
62 kg
66 kg
Option 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

7. 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.

8. 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.
6750
6550
7750
5750
6050
Option 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

9. 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%

10. 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?
9/20
9/20
7/20
11/21
7/12
Option 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.