1.Real Numbers Quiz

What is the format of a rational number?

• a/b (b ≠ 0)

• √2

• 0.8576289570932.......

• √3

Which of the following is an irrational number?

• 3/4

• 8/9

• √5

• 6/7

What does the Fundamental Theorem of Arithmetic state?

• Every number is a sum of primes

• Every composite number can be expressed as a product of primes

• Every number is a product of primes

• Every prime number is composite

If p is a prime and p divides a^2, then p divides:

• a^2

• a

• a^3

• a^4

What is the product of HCF(p,q,r) and LCM(p,q,r) if p, q, r are positive integers?

• p x q x r

• HCF(p,q,r) x LCM(p,q,r)

• p + q + r

• p - q - r

Which of the following is an irrational number?

• π

• 6/7

• 4/5

• 2/3

What is the format of an irrational number?

• √2

• √3

• 0.8576289570932.......

• a/b (b ≠ 0)

What is the unique factorization of a composite number?

• It can be expressed as a sum of primes

• It can be expressed as a division of primes

• It can be expressed as a product of primes

• It can be expressed as a difference of primes

If p divides a^2, then p divides:

• a

• a^4

• a^2

• a^3

What is the product of HCF(p,q,r) and LCM(p,q,r) if p, q, r are positive integers?

• p - q - r

• p + q + r

• HCF(p,q,r) x LCM(p,q,r)

• p x q x r