HCF and LCM – (Railway Maths Part VII)

Total Questions: 50

1. A shopkeeper has 25 liters of oil in one can and 45 liters in another can. The maximum capacity (in liters) of a container that can measure the oil of either container an exact number of times is: [RRB NTPC 19/03/2021 (Morning) ]

Correct Answer: (b) 5
Solution:

2. The LCM and HCF of two numbers are 2400 and 20 respectively. When we divide the first number by 8, the quotient is 60. Then the second number is: [RRB NTPC 19/03/2021 (Evening) ]

Correct Answer: (d) 100
Solution:

3. What is the least multiple of 7, which when divided by 2,3,4,5 and 6 leaves the remainders 1,2,3,4 and 5 respectively? [RRB NTPC 21/03/2021 (Evening) ]

Correct Answer: (b) 119
Solution:

4. What is the least number which is a perfect square and contains 3675 as its factor? [RRB NTPC 27/03/2021 (Morning) ]

Correct Answer: (a) 11025
Solution:

5. The least perfect square number completely divisible by 4,5,9 and 12 is: [RRB NTPC 27/03/2021 (Evening) ]

Correct Answer: (a) 900
Solution:

6. The least number, which when divided by 18,30,40 and 45 leaves in each case a remainder of 7, is: [RRB NTPC 27/03/2021 (Evening) ]

Correct Answer: (a) 367
Solution:

7. LCM of 30, 40 and 45 is: [RRB NTPC 01/04/2021 (Morning) ]

Correct Answer: (d) 360
Solution:

LCM of 30, 40 45 = 360

8. If the HCF and LCM of 12 and x is 3 and 60 respectively, then x is ______. [RRB NTPC 01/04/2021 (Evening) ]

Correct Answer: (b) 15
Solution:

9. The LCM of two natural numbers is 1326 and their HCF is 3. If the difference of the numbers is 27, then the sum of the numbers is _______. [RRB NTPC 01/04/2021 (Evening) ]

Correct Answer: (c) 129
Solution:

10. The LCM of two numbers is 315 and their HCF is 21, and the difference of the numbers is 42. The sum of the numbers is ________. [RRB NTPC 03/04/2021 (Morning) ]

Correct Answer: (b) 168
Solution: