# RRB ALP 2018 Practice Test Papers | Arithmetic Questions (Day-13)

Dear Aspirants, Here we have given the Importantย 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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RRB ALP & Technician | Aptitude Day-13

maximum of 10 points

Click โStart Quizโ to attend these Questions and view Explanation

1. The HCF of two numbers โaโ and โbโ is 18. What can be the LCM of โaโ and โbโ?
1. 42
2. 9
3. 12
4. None of these
1. How many pairs of numbers are there such that their HCF and LCM are 12 and 924, respectively?
1. 1
2. 2
3. 3
4. 4
1. Ajay cycles at 3 km/h more than his usual speed and reached the destination 60 km away 1 h earlier. What is his usual speed?
1. 15 km/h
2. 12 km/h
3. 25 km/h
4. 10 km/h
1. 12 is divided into two parts such that 3 times the first part added to 4 times the second part makes 43. The difference between both parts is
1. 1
2. 2
3. 3
4. 7
1. What will be the minimum value of (x โ 5) (x โ 13)?
1. โ 8
2. 4
3. 8
4. โ 16
1. How many sequences of answers are possible in a test having 12 multiple choice questions if each question has five options?
1. 60
2. 12! ร 5!
3. 12! + 5!
4. 512
1. 27, 125, 343, 729, 1331,?
1. 2197
2. 1864
3. 2469
4. 1965
1. If 3888 is divided by the square of a number and the answer so obtained is multiplied by 21, then the final answer is 252. What is the number?
1. 17
2. 19
3. 18
4. 16
1. A pipe can fill a tank in 32 h. After 8 h, 7 more similar pipes are used. What is the additional time required to fill the tank?
1. 3 h
2. 2 h
3. 5 h
4. 4 h
1. Find the number, if 4/5 of that number exceeds its 2/3 by 4.
1. 15
2. 27
3. 30
4. 45

Solution:

HCF is always a factor of LCM. None of the given options is a multiple of 18. Therefore, the correct option is โNone of theseโ.

Since HCF is a factor of both numbers, these numbers must be 12a and 12b, where a and b are relatively prime. According to the given condition, 12ab = 924. Therefore, ab = 77 So, the required possible pairs are (12, 924) and (84, 132).

Let the usual speed be x km/h.

โด Usual time = 60/x h

New time = 60/(x+3) h

โด60/x -60/(x + 3) = 1

x2 + 3x โ 180 = 0

x = 12 or โ15 Disregarding the negative value, the usual speed of Ajay is 12 km/h.

Let the first part be x, then the second part is 12 โ x. According to the question, 3x + 4(12 โ x) = 43

3x + 48 โ 4x = 43

โ x = 43 โ 48

โ x = โ 5

x = 5

First number = 5

Second number = 12 โ 5 = 7 Difference = 7 โ 5 = 2

(x โ 5) (x โ 13) = x2 โ 18x + 65

For a quadratic equation, ax2 + bx + c = 0, the minimum value of the equation is calculated asย ย ย ย ย ย ย ย ย ย ย ย  (4ac- b2)/4a . Therefore, for the quadratic equation, x2 โ 18x +65 = 0, the minimum value will be

4(1)(65) -(-18)2/ 4(1)

(260-324)/ 4 =-64/4=-16

Since each question can be answered in 5 ways. Therefore total number of the possible sequence = 512

The terms of the given series are 33, 53, 73, 93 and 113. By following the same pattern, the required term is 133 = 2197

Let the required number be x. According to the question, 3888 รท x2 = a and a ร 21 = 252 On solving, we get a = 12 and x2 = 324 Hence, the required number is 18.

The pipe can fill 1/32 of the tank in 1 h. After 8 h, remaining part = 3/4

Remaining time = (3/4)/(8ร1/32) = 3 h

Let the required number be x. So, according to the question, ๏ฝ 4/5 x โ 2/3x =4

Therefore x = 30

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