Question

Assertion (A) : For two prime numbers x and y (x < y), HCF(x, y) = x and LCM(x, y) = y. Reason (R) : HCF(x, y) ≤ LCM(x, y), where x, y are any two natural numbers.

Let p = x² y³ zⁿ and q = x³ yᵐ z², where x, y, z are prime numbers. If LCM (p, q) = x³ y⁴ z³, then the value of (2m + 3n) is

Let a = p²q³rⁿ and b = p³qᵐr², where p, q, r are prime numbers. If LCM of a and b is p³q⁴r³, then the value of 3n − 2m is

Let x = a²b³cⁿ and y = a³bᵐc², where a, b, c are prime numbers. If LCM of x and y is a³b⁴c³, then the value of m + n is