Correct Answer - Option 1 : 11
Calculation:
⇒ (n - 5) (n - 10) - 3 × (n - 2) ≤ 0
⇒ n2 - 15n + 50 - 3n + 6 ≤ 0
⇒ n2 - 18n + 56 ≤ 0
⇒ (n - 14) (n - 4) ≤ 0
⇒ 4 ≤ n ≤ 14, n = {4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
⇒ Total integer is 11
∴ The required result will be 11.