# Quant Test for SBI PO 2018 Prelim Exam Set – 54

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.

1. I.3x2 -x-10=0
II.3x2 -x-2=0

y>x
x>=y
y>=x
x=y or relation cannot be established.
x>y
Option D
I.3x2 -x-10=0
x= 2, -1.666
II.3x2 -x-2=0
y= 1, -0.666
Relationship cannot be determined.

2. I. x2 -30x +221=0
II. y2 -36y+323=0

x>y
x=y or relation cannot be established.
x>=y
y>x
y>=x
Option E
I. x2 -30x +221=0
x=13, 17
II. y2 -36y+323=0
y=17, 19
x ≤ y

3. I. x2 -30x +216=0
II. y2 -29y+210=0

y>=x
x>=y
x>y
y>x
x=y or relation cannot be established.
Option E
I. x2-30x +216=0
x=12, 18
II. y2 -29y+210=0
y=14, 15
Relationship cannot be determined

4. I.x2+13x+40=0
II.y2+7y+12=0

x=y or relation cannot be established.
y>x
x>=y
x>y
y>=x
Option B
I.x2+13x+40=0
x=-8, -5
II.y2+7y+12=0
y=-3, -4
y>x

5. I. x2 + (5)^1/2x − 150 = 0
II. y2 + 3(7)^1/2y + 14 = 0

y>=x
x>y
x=y or relation cannot be established.
x>=y
y>x
Option C
I. x2+ 51/2− 150 = 0
𝑥2 + 6( 5)^1/2𝑥 – 5( 5)^1/2𝑥 − 150 = 0
x = 5(5)^1/2, −6(5)^1/2
II. y 2 + 3 7y + 14 = 0
y 2 + 2(7)^1/2y + (7)^1/2y + 14 = 0
y = −2(7)^1/2, −(7)^1/2
Relationship cannot be determined.

6. Vinoth is as much younger to Vicky as he is older to Vishva. If the total age of Vicky and Vishva is 56, how old is Vinoth?
17 years
24 years
18 years
28 years
20 years
Option D
Vicky + Vishva = 56
Vicky − Vinoth = Vinoth – Vishva
Vicky + Vishva = 2 Vinoth
Vinoth = 28 years

7. A man buys an A.C costing Rs. 45000 including a GST of 20%. The shopkeeper gives him a discount, so that the price is decreased by an amount equivalent to GST. By how much price is decreased.
Rs.8000
Rs.7200
Rs.6000
Rs.5500
Rs.7500
Option E
45000( 100/ 120) = 37500
GST
=45000-37500
=Rs.7500

8. The ratio of monthly earning of Priya to that of Santhiya is 3 : 5. If the monthly earning of Priya is increased by 10% and that of Santhiya decreased by 30%, the new ratio becomes 33:35. What is Priya’s monthly Salary?
Rs.15000
Rs.32000
Rs.24000
Cannot be determined.
Rs.40000
Option D
Since all the given values are in ratio or percentage and no absolute value is given, we cannot find the answer.

9. A train crosses a 300 m long platform at a speed of 72kmph in 25 sec and also passes a second train 250 m long running in opposite direction towards each other in 15 sec. what is the speed of the second train?
26 𝑘𝑚𝑝h
18 𝑘𝑚𝑝h
22 𝑘𝑚𝑝h
36 𝑘𝑚𝑝h
40 𝑘𝑚𝑝h
Option D
Let the length of first train be 𝑙1.
( 𝑙1 + 300)/ 72 × (5 /18) = 25 𝑙1 + 300 = 500
𝑙1 = 200𝑚
Given,[250 + 200]/ [72 × (5 /18) + 𝑥] = 15
=> 450/[ 20 + 𝑥 ]= 15
=>30 = 20 + 𝑥
=> x=10m/s
=>𝑥 = 10 × (18/ 5) = 36 𝑘𝑚𝑝h

10. 30 women can complete 24 baskets in 15 days, working 8 hours per day. If 5 women leave, how many baskets can be completed in 21 days, working 6 hours per day?
21
50
42
30
15
Option A
(𝑀1 × 𝐷1 × 𝐻1)/ 𝑊1 = (𝑀2 × 𝐷2 × 𝐻2) /𝑊2
=> 𝑊2 = (24×25×21×6)/( 30×15×8)
= 21