If two positive integers a and b written as a = x³y² and b = xy³; x and y are prime numbers, then HCF(a,b) is

     The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

        The product of a non- zero rational and an irrational number is

     If two positive integers p and q can be expressed as p = ab² and q = a³b ; a, b being prime numbers, then LCM (p,q)

The HCF and the LCM of 12, 21 and 15 respectively are :

  If sum of two numbers is 1215 and their HCF is 81, then the possible number of pairs of such numbers are :

Let a and b be two positive integers such that a = p³q⁴ and b = p²q³ where p and q are prime numbers. If HCF(a,b) = p^m qⁿ and LCM (a,b) = p^r q^s, then (m+n)(r+s) =

Which of the following numbers can be expressed as a product of two or more prime numbers?

(i)         15.            (ii)34658               (iii) (15)

     1245 is a factor of the numbers p and q. Which of the following will ALWAYS have 1245 as a factor?

(i)         p + q          (ii)p                (iii) pq

ASSERTION (A) : There is any value of n for which 2ⁿ ends with digit zero.

Reason (R): For any value of n, 4ⁿ end with digit 4 or 6.

    ASSERTION (A) : There are two whole numbers a and b such that HCF (a,b) = 26 and LCM(a,b) = 91.

Reason (R): The HCF of two or more numbers is always a factor of their LCM.

       ASSERTION (A) : If product of two numbers is 5780 and their HCF is 17 and their LCM, is 340.

Reason (R):   HCF is always a factor of LCM

.   $$\sqrt[2]{6}-3-2$$  rational number?

   The decimal expansion of $$\sqrt[2]{6}$$  is non- terminating recurring.

        The least number which is exactly divisible by 8 and 12 is 48.

   A prime number has exactly two factors, 1 and the number itself.

        Every composite number can be factorized as a product of primes and this factorization is unique, a apart from the order in which the prime factor occurs.

  LCM of two numbers is always divisible by their HCF.

$$7\times11\times13+13$$  is a prime number

$$\left(38\right)^n$$ can end with zero

    Product of three consecutive natural numbers is always divisible by 6.

  Reciprocal of an irrational number is always an irrational number.

$$\sqrt[2]{12}\times\sqrt[2]{27}$$ is an irrational number

        Product of two prime numbers is always equal to their LCM.

  There are infinitely many rational numbers between any two irrational numbers.

   HCF of two numbers can be 18 if their LCM is 380

1.   If $$\sqrt[2]{ab}$$  be an irrational number then √a+√b  is also irrational number.