**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)

Click here to know the details of the Examination

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 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.

- I. 4x^2–25x+25 = 0

II. 2y^2–13y+21 = 0x>=yy>xx>yx=y or relation cannot be established.y>=xOption D

I. 4x^2–25x+25 = 0

4x^2–25x+25 = 0

4x^2–20x–5x+25 = 0

x = 20/4 = 5, x = 5/4 = 1.25

II. 2y^2–13y+21 = 0

2y^2–13y+21 = 0

2y^2–7y–6y+21 = 0

y = 7/2 = 3.5, y = 6/2 = 3

Hence, there is no relation. - I. 2x^2+21x+34 = 0

II. 3y^2+23y+42 = 0y>xy>=xx>yx>=yx=y or relation cannot be established.Option E

I. 2x^2+21x+34 = 0

2x^2+17x+4x+34 = 0

x = – 17/2 = –8.5 , – 4/2 = –2

II. 3y^2+23y+42 = 0

3y^2+14y+9y+42 = 0

y = – 14/3 = – 4.66, – 9/3 = –3

Hence, no relation. - I. 2x^2–6x–48 = 0

II. y^2–13y+42 = 0x>=yx>yx=y or relation cannot be established.y>xy>=xOption E

I. 2x^2–6x–48 = 0

2x^2–4x–48 = 0

2(x^2–2x–24) = 0

x^2–2x–24 = 0

x^2–6x+4x–24 = 0

x = +6, –4

II. y^2–13y+42 = 0

y^2–13y+42 = 0

y^2–7y–6y+42 = 0

y = +7, +6

Hence, y>=x - I. 3x^2–27x+54 = 0

II. 2y^2–9y+10 = 0x>yy>=xx=y or relation cannot be established.y>xx>=yOption A

I. 3x^2–27x+54 = 0

3x^2–27x+54 = 0

3x^2–18x–9x+54 = 0

x = 18/3 = 6, 9/3 = 3

II. 2y^2–9y+10 = 0

2y^2–9y+10 = 0

2y^2–5y–4y+10 = 0

y = 5/2 = 2.5 y = +, 4/2 = 2

Hence, x>y - I. x^2 + 6x + 8 = 0

II. y^2 + 7y + 12 = 0x=y or relation cannot be established.x>=yy>=xy>xx>yOption A

x = 4, 2

y = 4, 3

No relation - The simple interest on a sum of money is equal to the principal and the number of years is equal to the rate percent per annum. Find the rate percent.
50%40%30%10%20%Option D

Let SI = Principal = x

Years = rate = y

R = SI×100/P×N

y = x×100/x×y

y= 100/y

y^2 = 100

y = 10% - Two trains start from same station in different times at a speed of 60 km/hr and 72 km/hr respectively and the ratio of length of faster and slower trains is 3:2. If fast train overtakes the slower train in 150 sec, find the length of the faster train.
600 m700 m400 m200 m300 mOption E

72 − 60 = total length/150 × 3600

Total length = 12 × 150/3600 = 0.5 km

Length of the 1st train = 0.5/5 × 3 = 0.3km = 300 m - The ratio of speed of boat in still water to speed of stream is 5:3. If the boat goes 24 km distance in downstream and returns to the starting point in 15 hours. Find the speed of stream.
6 km/hr.4 km/hr.1 km/hr.3 km/hr.5 km/hr.Option D

24/(5x + 3x) + 24/(5x − 3x) = 15

24/8x + 24/2x = 15

24 + 96 = 120𝑥

120x = 120

x = 1

Speed of stream = 3 km/hr. - Four years ago the ratio of father’s age to son’s age was 8:1 and ratio of present age of mother and son is 4:1. If the sum of present ages of mother and son is 4 years more than the father’s present age, find father’s present age.
44 years50 years42 years36 years30 yearsOption D

Let present age of father, mother and son be x, y and z

(x – 4)/(z – 4) = 8/1

=> 𝑥 − 8𝑧 = −28 − − − −(1)

y/z = 4/1

=> 𝑦 = 4𝑧 − − − −(2)

y + z = 4 + x

=> y + z − x = 4 − − − −(3)

Solve the above three equation,

x = 36 years,

y = 32 years,

z = 8 years

Father’s age = 36 years - A basket contains 8 Red and 6 Pink toys. There is another basket which contains 7 Red and 8 Pink toys. One toy is to drawn from either of the two baskets. What is the probability of drawing a Pink toys?
91/210111/211101/21099/200103/211Option C

Probability of one basket = 1/2

1st Basket Pink toy probability = 1/2* (6c1/14c1)

2nd Basket Pink toy probability = 1/2* (8c1/15c1)

Adding both cases (1/2*6/14) + (1/2*8/15)

= 3/14+4/15 = 101/210