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- 1. Multiple Choice
Every composite number can be written as the product of powers of primes.
True
False
- 2. Fill in the Blank
"Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur" is known as Fundamental Theorem of ______________________.
- 3. Multiple Choice
Who is known as the ‘Prince of Mathematicians’?
Newton
Euler
Archimedes
Carl Friedrich
- 4. Fill in the Blank
The prime factorisation of a natural number is ____________ way, except for the order of its factors.
- 5. Multiple Choice
For any two positive integers a and b,
HCF (a, b) + LCM (a, b) = a × bHCF (a, b) - LCM (a, b) = a × bHCF (a, b) ÷ LCM (a, b) = a × bHCF (a, b) × LCM (a, b) = a × b - 6. Multiple Choice
True
False
- 7. Multiple Choice
True
False
- 8. Multiple Choicep divides ap does not divide aa is not a positive integerp is not a prime number
- 9. Multiple Choice
rational
irrational
- 10. Multiple Choice
rational
irrational
- 11. Multiple Choice
Terminating
Non-terminating and repeating
Non-terminating and non-repeating
None of these
- 12. Multiple Choice
For any integer n, the odd integer is represented in the form of _______
2n3n - 12n + 1 - 13. Multiple Choice
For any integer n, the even integer is represented in the form of _______
2n3n - 12n + 1 - 14. Multiple Choice
Which of the following is not irrational?
- 15. Multiple Choice
The sum of a rational number and an irrational number is equal to ______
whole numberintegerirrationalrational - 16. Multiple Choice
The sum or difference of two irrational numbers is always _________
rationalevenpositiveirrational - 17. Multiple Choice
The prime factorisation of 96 is
- 18. Multiple Choice
n² – 1 is divisible by 8, if n is ______________
any even integera multiple of 3a prime numberany odd integer - 19. Multiple Choice
For any two positive integers a and b, HCF (a, b) × LCM (a, b) =
- 20. Multiple Choice
The values of the remainder r, when a positive integer a is divided by 3 are ___________
0, 1, 20, 3, 62, 4, 61, 2, 3 - Answer choicesTagsAnswer choicesTags