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Q: If the 5-digit number 538xy is divisible by 3, 7 and 11, then the value of (x² + y²) is:
  • A. 25
  • B. 13
  • C. 17
  • D. 10
Correct Answer: Option B - Given, 5 digit number · 538xy This number is divisible by 3, 7 and 11 Hence, the number will be a multiple of (L.C.M) 3,7 and 11. ∴ L.C.M of 3, 7 and 11 · 231 538xy = 53823 ∴ x = 2 y = 3 ∴ x² + y² = 22 + 32 x² + y² = 13
B. Given, 5 digit number · 538xy This number is divisible by 3, 7 and 11 Hence, the number will be a multiple of (L.C.M) 3,7 and 11. ∴ L.C.M of 3, 7 and 11 · 231 538xy = 53823 ∴ x = 2 y = 3 ∴ x² + y² = 22 + 32 x² + y² = 13

Explanations:

Given, 5 digit number · 538xy This number is divisible by 3, 7 and 11 Hence, the number will be a multiple of (L.C.M) 3,7 and 11. ∴ L.C.M of 3, 7 and 11 · 231 538xy = 53823 ∴ x = 2 y = 3 ∴ x² + y² = 22 + 32 x² + y² = 13