A=set containing prime factors of a where repitition is allowed in a set is assumed
B=set containing prime factors of b where repitition is allowed in a set is assumed
m=product of the elements of (A union B)
d=product of the elements of (A intersection B)
dm=product of the elements of (A union B) and (A intersection B)
=Product of the elements of A-B ,B-A,(A intersection B),(A intersection B)
=product of the elements of A and B
=ab(proved)
Question : A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B < 15)?
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6
Question : The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively.
Option 1: 46 and 230
Option 2: 48 and 240
Option 3: 64 and 320
Option 4: 56 and 280
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