# Quant Test for IBPS RRB 2018 Prelim Exam Set – 24

Institute of Banking Personnel Selection (IBPS) had released the official notification for the Common Recruitment Process for RRBs (CRP RRBs VII) for the recruitment of Group “A”-Officers (Scale-I, II & III) and Group “B”-Office Assistant (Multipurpose)

The examination will be held in two phases i.e. Preliminary Examination and Main Examination. The RRB Scale I Preliminary Exam is scheduled on 11th, 12th & 18th of August 2018. And RRB Assistant Preliminary Exam is scheduled on 19th, 25th August & 1st September 2018Details 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 correct relation between x and y and choose a correct option.

1. I. 2x^2+x– 6 = 0
II. 3y^2+y– 8 = 0

x=y or relation cannot be established.
x>y
x>=y
y>=x
y>x
Option A
I. 2x^2+x– 6 = 0
2x^2+4x–3x– 6 = 0
x = -2,1.5
II. 3y^2+y– 8 = 0
3y^2+6y–4y– 8 = 0
y = -2, 1.33
Hence, no relation

2. I. x^3 – 375 = 3000
II. y^3 + 600 = 769

x=y or relation cannot be established.
y>x
y>=x
x>=y
x>y
Option E
x = 15
y = 13
x > y

3. I. 225x^2 – 4 = 0
II. √225y + 2 = 0

x=y or relation cannot be established.
x>=y
x>y
y>=x
y>x
Option B
225x^2 – 4 = 0
(15x)^2 – (2)^2 = 0
(15x + 2) (15x – 2) = 0
x = – 2/15, 2/15
15y + 2 = 0
y = – 2/15
x >= y

4. I. 2x^2 + x – 1 = 0
II. 2y^2 – 3y + 1 = 0

x>y
x>=y
x=y or relation cannot be established.
y>x
y>=x
Option E
2x^2 + x – 1 = 0
2x^2 + 2x – x – 1 = 0
2x (x + 1) – 1 (x + 1) = 0
x = – 1, 1/2
2y^2 – 3y + 1 = 0
2y^2 – 2y – y + 1 = 0
2y (y – 1) – 1 (y – 1) = 0
y = 1, ½
y>=x

5. I. x^2 + x – 2 = 0
II. y^2 + 5y + 6 = 0

x=y or relation cannot be established.
y>=x
y>x
x>y
x>=y
Option E
x ^2 + 2x – x – 2 = 0
x (x + 2) – 1 (x + 2) = 0
x = 1, – 2
y^2 + 5y + 6 = 0
y^2 + 3y + 2y + 6 = 0
y (y + 3) + 2 (y + 3)
y = – 2, – 3
x>=y

6. 30 labourers working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then find the number of labourers required to finish the same piece of work in 30 days.
30
21
18
25
17
Option B
Required number of labourers
= (30*7*18)/(6*30) = 21

7. An amount of Rs. 400 becomes Rs. 424 in 3 years at a certain rate of simple interest, If the rate of interest increases by 8%, what amount will Rs. 400 becomes in 2 years?
Rs. 480
Rs. 320
Rs. 420
Rs. 580
Rs. 400
Option A
SI = 424 – 400 = Rs. 24
R = (24 × 100)/(400 × 3) = 2%
New rate = 2 + 8 = 10%
SI = (400 × 10 × 2)/100 = Rs. 80
Amount = 400 + 80
= Rs. 480

8. Average age of A and B, 2 years ago was 26. If age of A 5 years hence is 40 yrs, and B is 5 year younger to C, then find difference between age of A and C?
8 years
7 years
5 years
9 years
6 years
Option D
Average age of A and B 2 year ago = 26
Present Average age = A + B/ 2 = 28
Present age A + B = 56
A’s age after 5 year = 40
Now A’s age = 40 – 5 = 35
B’s age = 56 – 35 = 21
C’s age = 21 + 5 = 26
Required difference = 35 – 26 = 9 years

9. Ratio of speed of boat in down stream and speed of stream is 9:1, if speed of current is 3 km per hr, then find distance travelled(in km) upstream in 5 hours.
111 km
120 km
113 km
105 km
90 km
Option D
speed of current = y = 3
Downstream speed = 9 × 3 = 27 km/h
Speed of boat = x
x + y = 27
x = 24
y= 3
Distance travelled = speed × Time
= (x – y) × 5
= (24 – 3) × 5
= 21 × 5 = 105 km

10. How many different words can be formed with the letters of the word UNIVERSITY so that all the vowels are together?
62400
60480
61460
68440
64480
Option B
Number of words = (4! * 7!)/2 = 60480

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