RRB ALP 2018 Practice Test Papers | Arithmetic Questions (Day-16)

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.

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1. Four discs, each having radius 24 cm, are placed in such a manner that each disc touches the other two discs. What would be the area enclosed by the four discs?

1. 493.72 cm²
2. 200.56 cm²
3. 483.25 cm²
4. 245.52 cm²

2. A tank is being filled by two pipes which can individually fill it in 12 h and 9 h, respectively. If both the pipes are engaged, how long will it take to fill the tank?

1. 36/7 h
2. 7/36 h
3. 7/19 h
4. 19/7 h

3. A tank can be filled by a tap in 6 h. Due to a leakage, it takes an additional 45 minutes. After the tank is full, the tap is closed. When will the tank become empty due to the leakage?

1. 30 h
2. 25 h
3. 54 h
4. 40 h

4. Find the value of

1. 1
2. 4
3. 2
4. 6

5. Determine the LCM of, 4/5, 8/15 and 12/25

1. 24
2. 12
3. 12/5
4. 24/5

6. The sum of six consecutive numbers is 345. What is the product of the smallest and the greatest numbers?

1. 3150
2. 3200
3. 3250
4. 3300

7. The angles of a triangle are given as 4x, 6(x – 5) and ( x²+ 15)/ 4 . The triangle is

1. isosceles
2. right angled
3. scalene
4. equilateral

8. A 350 m long train takes 36 s to cross a man running at a speed of 5 km/h in the direction opposite to that of train. What is the speed of the train?

1. 30 km/h
2. 40 km/h
3. 24 km/h
4. 34 km/h

9. Find the greatest number that will divide 481 and 582 leaving remainders 9 and 10, respectively?

1. 8
2. 4
3. 16
4. 2

10. √1296/? =?/ 4 . Find the value of’?’.

1. 9
2. 12
3. 10
4. 15

Solution:

1. Answer: (1)

Required area = Area of shaded region = area of square ABCD – 4 × (area of sectors)

= 48×48-4(pix24x24/4) =2304-1810.28= 493.72

2. Answer: (1)

In 1 h, The 1^st tap can fill 1/12 of the tank 2^nd tap can fill 1/9 of the tank Together, they can fill 1/12 + 1/9 = 7/36 of the tank

∴Required time = 36/7 h

3. Answer: (3)

Time required to fill the tank with leakage = 6+3/ 4 hr = 27/4 hr

Let leakage can empty the full tank in x hours.

1/ 6 -1/x=4/27

x= 54

∴ Time required to empty the tank = 54 hr

4. Answer: (4)

30 can be written as 5×6(product of consecutive numbers)

Larger number is the answer.

5. Answer: (4)

LCM of fractions = LCM of numerators /HCF of denominators

Here, LCM of 4, 8 and 12 = 24

HCF of 5, 15 and 25 = 5

LCM = 24/5

6. Answer: (4)

Let the six consecutive numbers be x, x + 1, x + 2, x + 3, x + 4 and x + 5.

According to the question, x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 345

7. Answer: (4)

The sum of all the angles of a triangle is 180.  4x+ 6( x –5 )+(x²+15)/4 =180

x = 15 So, the angles are 60^o, 60^o and 60^o, and therefore the triangle is equilateral.

8. Answer: (1)

Putting the given values in the speed, distance and time formula, we get:

S_train = 30 km/h

9. Answer: (2)

The greatest number that will divide 481 and 582 leaving 9 and 10, respectively, as remainders = HCF of (481 – 9) & (582 – 10) = HCF of (472, 572) = 4

10. Answer: (2)

Let √1296/x= x/4

36/x =x/ 4

[∵√1296 = 36]  x² = 36 × 4 x 4 = 144 = √144 = 12

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