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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.
Assertion (A) : For two odd prime numbers x and y, (x ≠ y), LCM(2x, 4y) = 4xy Reason (R) : LCM(x, y) is a multiple of HCF(x, y).
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
Prove that √2 is an irrational number.
Let x and y be two distinct prime numbers and p = x²y³, q = xy⁴, r = x⁵y². Find the HCF and LCM of p, q and r. Further check if HCF (p, q, r) × LCM (p, q, r) = p × q × r or not.
If x is the LCM of 4, 6, 8 and y is the LCM of 3, 5, 7 and p is the LCM of x and y, then which of the following is true ?
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