2024 · Q24
If HCF of 768 and x⁶y² is 32xy for natural numbers x ≥ 2, y ≥ 2, then what is the value of (x + y)?
Elementary MathematicsHCF and LCM
- A5
- B7
- C9
- D11
Explanation
With x = 2, y = 3, x⁶y² = 576 and HCF(768, 576) = 192 = 32 × 2 × 3, matching 32xy. This confirms the required form 32xy for the HCF. Then x + y = 5, option (a).