- 1. Number theory is a branch of mathematics that deals with the properties and relationships of numbers. It involves the study of integers, prime numbers, divisibility, equations, and various number systems. Number theory is essential in many areas of mathematics, including cryptography, computer science, and physics. It explores patterns in numbers and seeks to understand the fundamental nature of arithmetic operations. Overall, number theory plays a crucial role in solving mathematical problems and has practical applications in various fields.
Which of the following is not a prime number?
A) 17
B) 31
C) 9
D) 23
- 2. What is the sum of the first 5 prime numbers?
A) 35
B) 20
C) 18
D) 28
- 3. What is the largest prime number less than 50?
A) 37
B) 53
C) 43
D) 47
- 4. What is the smallest prime number?
A) 1
B) 5
C) 3
D) 2
- 5. What is the result when an odd number is squared?
A) Can be either odd or even.
B) Always an even number.
C) Always a multiple of 3.
D) Always an odd number.
- 6. What is the prime factorization of 36?
A) 6 * 6
B) 2 * 3 * 4
C) 4 * 9
D) 22 * 32
- 7. What is the sum of the first 10 odd numbers?
A) 120
B) 110
C) 100
D) 80
- 8. What is the least common multiple (LCM) of 12 and 18?
A) 30
B) 36
C) 42
D) 24
- 9. What is the next prime number after 89?
A) 97
B) 93
C) 91
D) 101
- 10. What is the product of the first 3 prime numbers?
A) 42
B) 30
C) 36
D) 48
- 11. What is the sum of the squares of the first 3 natural numbers?
A) 12
B) 14
C) 16
D) 18
- 12. What is the GCD of 18 and 24?
A) 6
B) 3
C) 8
D) 4
- 13. What is the LCM of 12 and 15?
A) 60
B) 30
C) 45
D) 24
- 14. What is the sum of the first 10 positive integers?
A) 50
B) 45
C) 60
D) 55
- 15. How many divisors does the number 24 have?
A) 10
B) 8
C) 6
D) 12
- 16. What is the next prime number after 19?
A) 23
B) 27
C) 25
D) 29
- 17. What is the product of the first 5 prime numbers?
A) 120
B) 2310
C) 360
D) 210
- 18. What is the sum of the first 10 even numbers?
A) 90
B) 120
C) 100
D) 110
- 19. What is the smallest composite number?
A) 6
B) 4
C) 5
D) 8
- 20. Which of the following is a highly composite number?
A) 12
B) 18
C) 20
D) 15
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