**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.

**Directions(1-5):** Find the relation between p and q and choose a correct option.

- I. p
^{2}– 5p + 6 = 0

II. q^{2}– 3q + 2 = 0q>pp=q or no relation cannot be established.p>qq>=pp>=qOption E

I. p^{2}– 3p – 2p + 6 = 0

p(p – 3) -2(p – 3) = 0

(p – 2)(p – 3) = 0

p = 2, 3

II. q^{2}– 2q – q + 2 = 0

q(q – 2) -1(q – 2) = 0

(q – 1)(q – 2) = 0

q = 1, 2

p >= q - I. p
^{2}+ 11p + 30 = 0

II. q^{2}– 11q + 30 = 0p>qp=q or no relation cannot be established.q>pq>=pp>=qOption C

I.p^{2}+ 6p + 5p + 30 = 0

p(p + 6) +5(p + 6) = 0

(p + 5) (p + 6) = 0

p = -5, -6

II. q^{2}– 6q – 5q + 30 = 0

q(q – 6) -5(q – 6) = 0

(q – 6) (q – 5) = 0

q = 5, 6

q>p - I. 2p
^{2}– 7p + 3 = 0

II. 4q^{2}+ 3q – 1= 0q>=pp>=qq>pp=q or no relation cannot be established.p>qOption E

I. 2p^{2}– 6p – p + 3 = 0

2p(p – 3) -1(p – 3) = 0

(2p – 1)(p- 3) = 0

p = 1/2,3

II. 4q^{2}+ 4q – q – 1 = 0

4q(q + 1) -1(q + 1) = 0

(4q – 1)(q + 1) = 0

q = 1/4 ,-1

p>q - I. p
^{2}– 169 = 0

II. q^{2}– 28q + 195 = 0q>=pp=q or no relation cannot be established.p>=qp>qq>pOption A

I. p^{2}= 169

p = -13, +13

II. q^{2}– 15q – 13q + 195 = 0

q(q – 15) – 13(q – 15) = 0

(q – 13)(q – 15) = 0

q = 13, 15

q>=p - I. 4p
^{2}– p – 3 = 0

II. 2q^{2}+ q – 1 = 0p=q or no relation cannot be established.p>qq>pp>=qq>=pOption A

I. 4p^{2}– 4p + 3p – 3 = 0

4p(p -1)+ 3(p – 1) = 0

(4p + 3) (p – 1) = 0

p = 1, -3/4

II. 2q^{2}+ 2q – q – 1 = 0

2q(q + 1) -1(q + 1) = 0

(q + 1)(2q – 1) = 0

q = 1/2, -1

No relation - There are two mixtures of honey and water, the quantity of honey in them being 25% and 75% of the mixture. If 2 gallons of the first are mixed with three gallons of the second, what will be the ratio of honey to water in the new mixture?
5:79:112:311:97:5Option D

Required ratio

= [25/100 × 2 + 75/100 × 3]/ [75/100 × 2 + 25/100 × 3] = 11/9 - A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, thereby earning a profit of 25%. Find the cost price for the manufacturer.
1723211512Option A

Cost price for retailer = 30.09 × 4/5 = 24.072

Cost price for manufacturer = 24.072 × 100/120 × 100/118

= 24.072 × 5/6 × 50/59

= 17 - A contract is to be completed in 50 days and 105 men were set to work, each working 8 hr. a day. After 25 days, 2/5th of the work is finished. How many additional men be employed, so that the work may be completed on time, each man now working 9 hr. a day?
1535224030Option B

𝑀1𝐷1𝑇1 /𝑊1 = 𝑀2𝐷2𝑇2/𝑊2

Given 𝑀1 = 105, 𝐷1 = 25, 𝑇1 = 8, 𝑊1 = 2/5

Now, let the additional men be x.

Then, 𝑀2 = 105 + 𝑥, 𝑇2 = 9 𝐷2 = 25

And 𝑊2 = 1 – 2/5 = 3/5

On putting these values in the above formula.

[105 × 25 × 8/ 2/5 = [(105 + 𝑥) × 25 × 9]/ 3/5

= 105 × 8/ 2 = (105 + 𝑥) × 9/3

= 105 × 4 = (105 + 𝑥) × 3

= 105 × 4 = 105 × 3 + 3𝑥

= 3x = 105

x = 35 men - The average monthly income of 4 earning members of a family is Rs. 7350. One member passes away and the average monthly income becomes Rs. 6500. What was the monthly income of the person, who is no more?
Rs.9550Rs.9000Rs.9350Rs.8500Rs.9900Option E

Monthly income of 4 persons = 7350 × 4

= Rs. 29400

Monthly income of 3 persons (excluding the dead person) = 6500 × 3

= Rs. 19500

Monthly income of dead person = 29400 – 19500

= Rs.9900 - A committee of five persons is to be chosen from a group of 10 people. The probability that a certain married couple will either serve together or not at all is?
44/12751/12661/12555/12351/121Option B

Five persons is to be chosen from a group of 10 people

= 10C5 = 252

Couple Serve together = 8C3 * 2C2 = 56

Couple does not serve = 8C5 = 56

Probability = 102/252 = 51/126