Factors and Multiples - Problem Set

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Factors and Multiples - Problem Set MCQ & Objective Questions

The "Factors and Multiples - Problem Set" is a crucial area of study for students preparing for various exams. Mastering this topic not only enhances your mathematical skills but also boosts your confidence in tackling objective questions. Practicing MCQs helps in reinforcing concepts and improves your chances of scoring better in exams. Engaging with these practice questions will ensure you are well-prepared for important assessments.

What You Will Practise Here

  • Understanding the definitions of factors and multiples
  • Identifying prime and composite numbers
  • Finding the least common multiple (LCM) and greatest common divisor (GCD)
  • Applying the division method for finding factors
  • Solving real-life problems using factors and multiples
  • Utilizing Venn diagrams to represent factors and multiples
  • Exploring the relationship between factors and multiples through examples

Exam Relevance

The topic of factors and multiples is frequently tested in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that require them to calculate LCM and GCD, identify factors of given numbers, and solve word problems. Common question patterns include direct MCQs, fill-in-the-blanks, and application-based problems, making it essential to have a strong grasp of this topic.

Common Mistakes Students Make

  • Confusing factors with multiples, leading to incorrect answers
  • Overlooking prime factorization when calculating LCM and GCD
  • Misinterpreting word problems that involve real-life applications of factors and multiples
  • Failing to check for all possible factors of a number

FAQs

Question: What are factors?
Answer: Factors are numbers that divide another number completely without leaving a remainder.

Question: How do I find the LCM of two numbers?
Answer: The LCM can be found by listing the multiples of each number and identifying the smallest common multiple.

Question: Why is it important to learn about factors and multiples?
Answer: Understanding factors and multiples is essential for solving various mathematical problems and is a foundational concept in number theory.

Now is the time to enhance your understanding of factors and multiples! Dive into our practice MCQs and test your knowledge to excel in your exams.

Q. If you have 10 apples and give away 3, how many do you have left?
  • A. 6
  • B. 7
  • C. 8
  • D. 9
Q. If you have 20 candies and you eat 5, how many candies do you have left?
  • A. 14
  • B. 15
  • C. 16
  • D. 17
Q. If you have 5 apples and you eat 2, how many do you have left?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. If you have 5 apples and you give away 2, how many do you have left?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. What is 1/2 of 8?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. What is 1/2 plus 1/4?
  • A. 1/4
  • B. 3/4
  • C. 1/2
  • D. 2/4
Q. What is 10 minus 4?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. What is 12 divided by 4?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. What is 12 ÷ 4?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. What is 15 divided by 3?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. What is 3 + 5?
  • A. 6
  • B. 7
  • C. 8
  • D. 9
Q. What is 4 plus 7?
  • A. 10
  • B. 11
  • C. 12
  • D. 13
Q. What is 4 x 2?
  • A. 6
  • B. 7
  • C. 8
  • D. 9
Q. What is 4 × 2?
  • A. 6
  • B. 7
  • C. 8
  • D. 9
Q. What is 5 times 2?
  • A. 7
  • B. 8
  • C. 9
  • D. 10
Q. What is 6 plus 7?
  • A. 12
  • B. 13
  • C. 14
  • D. 15
Q. What is 6 times 2?
  • A. 10
  • B. 11
  • C. 12
  • D. 13
Q. What is 6 x 3?
  • A. 15
  • B. 16
  • C. 17
  • D. 18
Q. What is 8 minus 5?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. What is 8 plus 5?
  • A. 12
  • B. 13
  • C. 14
  • D. 15
Q. What is 9 divided by 1?
  • A. 0
  • B. 1
  • C. 9
  • D. 10
Q. What is 9 minus 6?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
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