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Problems on H.C.F and L.C.M

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Problems on H.C.F and L.C.M MCQ & Objective Questions

Understanding "Problems on H.C.F and L.C.M" is crucial for students aiming for success in their exams. Mastering these concepts not only enhances your mathematical skills but also boosts your confidence in solving objective questions. Regular practice with MCQs and important questions helps in reinforcing your knowledge and prepares you effectively for various competitive exams.

What You Will Practise Here

  • Definition and significance of H.C.F (Highest Common Factor) and L.C.M (Lowest Common Multiple)
  • Methods to calculate H.C.F and L.C.M using prime factorization
  • Application of H.C.F and L.C.M in real-life problems
  • Understanding the relationship between H.C.F and L.C.M
  • Solving Problems on H.C.F and L.C.M through word problems
  • Practice with Problems on H.C.F and L.C.M MCQ questions
  • Tips and tricks for quick calculations in exams

Exam Relevance

Problems on H.C.F and L.C.M are frequently featured in CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that require them to find the H.C.F or L.C.M of given numbers, often presented in multiple-choice formats. Understanding the common question patterns will help you tackle these problems with ease and accuracy.

Common Mistakes Students Make

  • Confusing H.C.F with L.C.M and vice versa
  • Incorrect application of formulas when dealing with larger numbers
  • Overlooking the importance of prime factorization in calculations
  • Rushing through word problems, leading to misinterpretation of the question

FAQs

Question: What is the difference between H.C.F and L.C.M?
Answer: H.C.F is the largest number that divides two or more numbers without leaving a remainder, while L.C.M is the smallest number that is a multiple of two or more numbers.

Question: How can I improve my speed in solving H.C.F and L.C.M problems?
Answer: Regular practice with MCQs and understanding the underlying concepts will significantly enhance your speed and accuracy.

Start solving practice MCQs today to test your understanding of Problems on H.C.F and L.C.M. Consistent practice will not only prepare you for exams but also help you achieve your academic goals!

Q. Find the H.C.F. of 45, 75, and 105.
  • A. 15
  • B. 5
  • C. 30
  • D. 45
Q. Find the H.C.F. of 48, 72, and 120.
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. Find the H.C.F. of 64 and 48.
  • A. 16
  • B. 8
  • C. 32
  • D. 24
Q. Find the L.C.M. of 14, 28, and 42.
  • A. 84
  • B. 56
  • C. 42
  • D. 28
Q. Find the L.C.M. of 18, 24, and 30.
  • A. 180
  • B. 120
  • C. 60
  • D. 90
Q. If the H.C.F. of two numbers is 1 and their L.C.M. is 36, what can be said about the two numbers?
  • A. They are co-prime
  • B. They are equal
  • C. They are both even
  • D. They are both odd
Q. If the H.C.F. of two numbers is 1 and their L.C.M. is 42, what can be said about the two numbers?
  • A. They are co-prime
  • B. They are equal
  • C. They are both even
  • D. They are both odd
Q. If the H.C.F. of two numbers is 1 and their L.C.M. is 60, what can be said about the two numbers?
  • A. They are co-prime
  • B. They are equal
  • C. They are both even
  • D. They are both odd
Q. If the H.C.F. of two numbers is 1, what can be said about the numbers?
  • A. They are prime
  • B. They are co-prime
  • C. They are equal
  • D. They are multiples
Q. If the H.C.F. of two numbers is 12 and their L.C.M. is 144, what is the product of the two numbers?
  • A. 1728
  • B. 144
  • C. 288
  • D. 864
Q. If the H.C.F. of two numbers is 15 and their L.C.M. is 150, what is the product of the two numbers?
  • A. 225
  • B. 1500
  • C. 75
  • D. 100
Q. If the H.C.F. of two numbers is 5 and their L.C.M. is 100, what is the product of the two numbers?
  • A. 500
  • B. 200
  • C. 100
  • D. 50
Q. If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?
  • A. 6 and 8
  • B. 4 and 6
  • C. 8 and 10
  • D. 10 and 12
Q. If two numbers are in the ratio 3:4 and their H.C.F. is 5, what are the numbers?
  • A. 15 and 20
  • B. 10 and 15
  • C. 5 and 10
  • D. 20 and 25
Q. What is the H.C.F. of 24 and 36?
  • A. 12
  • B. 6
  • C. 18
  • D. 24
Q. What is the H.C.F. of 64 and 48?
  • A. 16
  • B. 8
  • C. 32
  • D. 24
Q. What is the H.C.F. of 81 and 27?
  • A. 27
  • B. 9
  • C. 3
  • D. 81
Q. What is the L.C.M. of 14 and 35?
  • A. 70
  • B. 140
  • C. 28
  • D. 105
Q. What is the L.C.M. of 15 and 20?
  • A. 60
  • B. 30
  • C. 45
  • D. 75
Q. What is the L.C.M. of 5, 10, and 15?
  • A. 30
  • B. 15
  • C. 45
  • D. 60
Q. What is the L.C.M. of 6, 8, and 12?
  • A. 24
  • B. 48
  • C. 36
  • D. 60
Q. What is the L.C.M. of 8 and 12?
  • A. 24
  • B. 48
  • C. 36
  • D. 16
Q. What is the L.C.M. of 8, 12, and 16?
  • A. 48
  • B. 32
  • C. 64
  • D. 24
Q. What is the L.C.M. of 9 and 12?
  • A. 36
  • B. 18
  • C. 27
  • D. 24
Q. What is the L.C.M. of 9 and 15?
  • A. 45
  • B. 30
  • C. 60
  • D. 75
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