RRB NTPC LCM and HCF Questions with Solutions PDF

The Lowest Common Multiple (LCM) and Highest Common Factor (HCF) are some of the easier topics in the RRB NTPC exam. While these topics don’t have a lot of marks assigned to them, they can still help you score an extra 2-4 marks since you usually get 1 or 2 questions from this area. In competitive exams, even a half mark can be important because missing out by 0.5 marks could impact your selection. So, candidates preparing for this exam should pay attention to this topic. To help you get ready, we’re providing RRB NTPC LCM and HCF questions with solutions PDF in this article.

RRB NTPC LCM and HCF Questions

In the LCM and HCF topic, there aren’t many different types of questions—generally, about 4 to 5 types are commonly asked. Candidates can prepare well by understanding all the concepts of this topic and practicing the questions. To help with your preparation, we are providing some RRB NTPC LCM and HCF questions for practice, which have been asked in previous railway examinations.

Q1. Find that smallest number which when divided by 4, 6, 8, 12 and 16 leaves 2 as remainder in each case.
(a) 46
(b) 50
(c) 48
(d) 56

Q2. Four bells commence tolling together and toll at intervals of 4 sec, 6 sec, 8 sec and 14 sec. If they toll together at 12 o’clock then at what time will they toll together again?
(a) At 12 : 02 : 48
(b) At 12 : 03
(c) At 12 : 03 : 20
(d) At 12 : 03 : 44

Q3. The L.C.M. of two numbers is 12 times their H.C.F. The sum of the L.C.M. and H.C.F. is 403. If one of the numbers is 93 then the other number is
(a) 124
(b) 128
(c) 134
(d) 138

Q4. The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.?
(a) 8
(b) 12
(c) 24
(d) 35

Q5. The product of two co-prime numbers is 285, then find their LCM?
(a) 15
(b) 19
(c) 285
(d) 570

Q6. The LCM of two numbers is 168 and their HCF is 12. If the difference between the numbers is 60, what is the sum of the numbers?
(a) 122
(b) 164
(c) 112
(d) 108

Q7. The product of two numbers is 6760 and their HCF is 13. How many such pair of numbers can be formed?
(a) 1
(b) 2
(c) 3
(d) 4

Q8. If LCM = 10³ × 5², HCF = 10² and first number is 10⁴, then the second number is:
(a) 250
(b) 54
(c) 500
(d) 10³

Q9. Six bells begin to toll together and toll, respectively, at intervals of 15, 17, 19, 24 and 28 seconds. After how many seconds will they toll together again?
(a) 176,280
(b) 271,320
(c) 167,911
(d) 172.190

RRB NTPC LCM and HCF Questions Solutions PDF

Candidates should practice the questions we provided above because, for this topic, practicing is sufficient if you understand the concepts. However, if you get stuck on any question, you can refer to the “RRB NTPC LCM and HCF Questions Solutions PDF” we provided. But first, try to solve them on your own, as this will help you identify the areas where you are making mistakes.

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