# RRB ALP 2018 Practice Test Papers | Arithmetic Questions (Day-11)

Dear Aspirants, Here we have given the Important RRB ALP & Technicians Exam 2018 Practice Test Papers. Candidates those who are preparing for RRB ALP 2018 can practice these Arithmetic Questions to get more confidence to Crack RRB 2018 Examination.

[WpProQuiz 1570]

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1. The value of k for which the lines 2x + ky + 7 = 0 and 27x – 18y + 25 = 0 are perpendicular to each other, is

(a) k = – 1

(b) k = 2

(c) k = 3

(d) k = – 2

1. The H.C.F. and L.C.M. of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other is

(a) 36

(b) 48

(c) 72

(d) 96

(3-5). Refer the following diagram and answer the questions below.

The income and expenditure of a company during 2010 to 2014 is given below. (All the values are in thousands)

 Years Income Expenditure 2010 123 85 2011 247 155 2012 273 196 2013 528 356 2014 444 299

1. What is the difference of profit between 2012 and 2014?
1. 53
2. 65
3. 68
4. 58
1. By how much percentage profit in the year 2013 is greater than the year 2014?
1. 18.62
2. 25.43
3. 20.33
4. 30.66
1. What is the ratio of profit between the years 2011 to 2010?
1. 56:18
2. 33:47
3. 46:19
4. 61:39

6.The ratio of speed of boat to speed of current is 5:1. A boat takes 80 minutes to go from one end of the river and return back. What is the speed of boat if the time taken for downstream is 32 minutes and the distance between one end to the other end of the river is 3.2 km.

1. 4 km/hr
2. 2 km/hr
3. 3 km/hr
4. 5 km/hr

7). 6 men and 10 women can do a job in 15 days. In how many days 13 men and 20 women do the job?

1. 17 days
2. 20 days
3. 23 days
4. cannot be determined.

8). What is that number whose 15% is 1800?

(A) 5000

(B) 12000

(C) 10000

(D) 20000

1. ‘X’ grazes 10 sheep for 3 weeks, ‘Y’ grazes 15 sheep for 4 weeks in a field. How should they divide a rent of Rs. 60?

(A) 1: 2

(B) 2: 1

(C) 3: 1

(D) Rs. 25: Rs. 35

1. A and B have to cross 1400 metres distance and the time (in minutes) taken by them is in the ratio of 3: 7. If B take 16 minutes more than A then what is B’s speed (in kms) per hour?

(A) 7

(B) 5·25

(C) 3

(D) 2·5

Solutions:

2x + ky + 7 = 0 =>ky = – 2x – 7 => y = -2/ k x- 7/k

– 27x + 18y + 25 = 0 => 18y = 27x + 25 => y = 3/2 x 25/18

(-2/k)(3/2)=-1

=> k = 3

First number × second number = HCF × LCM

84 × second number = 12 × 336

Second number = 48

273-196~(444-299)=68

Profit %=((528-356)-(444-299))/(444-299)*100=18.62

(247-155): (123-85)= 46:19

Downstream speed=speed of boat + speed of stream=5x+x=6x

Downstream speed=(3.2/32*60)=6

Speed of boat= 5 km/hr

Suppose that number is = x.

∴ 15% of x = 15x/100 ⇒ 15x/100 = 1800

∴ x = 1800*100/15 = 12,000

∴Sheeps grazed by X for 3 weeks = 10

∴Sheeps grazed by X for 1 week = 10 × 3 = 30

∴Sheeps grazed by Y for 4 weeks = 15

∴Sheeps grazed by Y for 1 week = 15 × 4 = 60

∴ Ratio in the number of sheeps of X and Y = 30: 60 = 1: 2

∴ Ratio in the rent = 1: 2

Let the speed of A be x km./hr. and that of B be y km/hr.

∴ 1·4/x : 1·4/y = 3: 7

⇒ y/x = 3/7

⇒ 3x – 7y = 0 …(i)

Again, 1·4/y – 1·4/x = 16/60

⇒( x– y)/xy = 4/21 …(ii)

On solving eqns. (i) and (ii) we get, x = 7 and y = 3.

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