Prime Numbers & Composite Numbers

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Prime Numbers & Composite Numbers MCQ & Objective Questions

Understanding Prime Numbers & Composite Numbers is crucial for students preparing for exams. These concepts form the foundation of number theory and are frequently tested in various objective questions. By practicing MCQs related to these topics, students can enhance their problem-solving skills and improve their chances of scoring better in exams. Engaging with practice questions helps solidify understanding and prepares students for important questions they may encounter.

What You Will Practise Here

  • Definition and properties of prime numbers
  • Definition and properties of composite numbers
  • Identifying prime and composite numbers within a range
  • Understanding the concept of the smallest prime number
  • Prime factorization and its significance
  • Common misconceptions about prime and composite numbers
  • Application of prime numbers in real-life scenarios

Exam Relevance

Prime Numbers & Composite Numbers are essential topics in the CBSE curriculum and are also relevant for State Boards. Students can expect questions on these concepts in various formats, including direct MCQs, fill-in-the-blanks, and application-based problems. Competitive exams like NEET and JEE also incorporate these topics, often testing students on their ability to quickly identify and manipulate prime and composite numbers. Familiarity with common question patterns can significantly aid in effective exam preparation.

Common Mistakes Students Make

  • Confusing prime numbers with composite numbers due to lack of clarity on definitions
  • Overlooking the importance of the number 1, which is neither prime nor composite
  • Misunderstanding the concept of prime factorization and its applications
  • Failing to recognize that all even numbers greater than 2 are composite
  • Not practicing enough objective questions, leading to uncertainty during exams

FAQs

Question: What is a prime number?
Answer: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Question: Can a number be both prime and composite?
Answer: No, a number cannot be both prime and composite; it can only be one or the other.

Question: How do I find prime numbers in a given range?
Answer: You can find prime numbers in a range by testing each number for divisibility by all smaller prime numbers.

Now is the time to boost your confidence and understanding! Dive into our practice MCQs on Prime Numbers & Composite Numbers and test your knowledge. Remember, consistent practice is key to mastering these concepts and excelling in your exams!

Q. How many composite numbers are there between 1 and 10?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. How many prime numbers are there between 1 and 20?
  • A. 8
  • B. 9
  • C. 10
  • D. 11
Q. If a number is composite, which of the following must be true?
  • A. It has exactly two factors
  • B. It has more than two factors
  • C. It is even
  • D. It is greater than 1
Q. If a number is divisible by 2 and 3, is it prime or composite?
  • A. Prime
  • B. Composite
  • C. Neither
  • D. Cannot be determined
Q. If a number is divisible by 2 and 3, is it prime?
  • A. Yes
  • B. No
  • C. Only if it's 6
  • D. Only if it's odd
Q. Is 25 a prime number?
  • A. Yes
  • B. No
  • C. Only if it's odd
  • D. Only if it's even
Q. Is 51 a prime number?
  • A. Yes
  • B. No
  • C. Only if it's even
  • D. Only if it's odd
Q. What is the sum of the first three prime numbers?
  • A. 10
  • B. 12
  • C. 15
  • D. 17
Q. Which of the following is a composite number?
  • A. 2
  • B. 3
  • C. 5
  • D. 9
Q. Which of the following is the largest prime number less than 30?
  • A. 23
  • B. 29
  • C. 19
  • D. 17
Q. Which of the following numbers is a prime number?
  • A. 4
  • B. 6
  • C. 11
  • D. 15
Q. Which of the following numbers is both prime and odd?
  • A. 2
  • B. 4
  • C. 5
  • D. 6
Q. Which of the following numbers is neither prime nor composite?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. Which of the following pairs contains only prime numbers?
  • A. 2 and 4
  • B. 3 and 5
  • C. 6 and 7
  • D. 8 and 9
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