Railways Exam || HCF AND LCM || PART-1 Video Lecture | Railways Exam Preparation (in Hindi) - RRB Group D / RPF Constable

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FAQs on Railways Exam -- HCF AND LCM -- PART-1 Video Lecture - Railways Exam Preparation (in Hindi) - RRB Group D / RPF Constable

1. What is the meaning of HCF and LCM in the context of railways exams?
Ans. In the context of railways exams, HCF stands for Highest Common Factor and LCM stands for Lowest Common Multiple. These concepts are frequently tested in mathematics sections of railway exams to assess candidates' understanding of number properties and their ability to solve related problems.
2. How are HCF and LCM used in solving problems related to railways exams?
Ans. HCF and LCM are used in various problem-solving scenarios in railways exams. For example, they are used to find the least number of coaches required to form a train with a given number of seats, or to determine the maximum number of equal-sized packets that can be made from a given quantity of items. Understanding how to calculate HCF and LCM is crucial for solving such problems efficiently.
3. Can you explain the concept of HCF with an example relevant to railways exams?
Ans. Certainly! Let's consider a railways exam question: "In a train, there are 40 passengers in one coach and 60 passengers in another coach. What is the maximum number of passengers that can be accommodated in a train without any seat left vacant?" To solve this, we need to find the HCF of the two given numbers, i.e., 40 and 60. The HCF of 40 and 60 is 20, which means that the maximum number of passengers that can be accommodated in a train without any seat left vacant is 20.
4. How can LCM be helpful in calculating time and distance problems in railways exams?
Ans. LCM is frequently used in time and distance problems in railways exams. For instance, if two trains are traveling on parallel tracks and they meet each other after every 20 minutes, it implies that the time taken by both trains to meet each other is a multiple of 20. In this case, 20 would be the LCM of the time intervals. By calculating the LCM, we can determine the time at which the trains will meet.
5. Is it possible to find the HCF and LCM of more than two numbers in railways exams? If yes, how can it be done?
Ans. Yes, it is possible to find the HCF and LCM of more than two numbers in railways exams. To find the HCF, we can use the method of prime factorization or the division method. For finding the LCM, we can use the prime factorization method or the method of listing multiples. By extending these methods to more than two numbers, we can calculate the HCF and LCM effectively.
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