A debit card mainly

Find the largest 5-digit number that is divisible by 12, 15, 18, and 24. Also, what is the remainder when this number is divided by 11?

If a, b and c are integers such that a ²  + b ²  + c ²  = 228, a + b + c = 26 and b = c, then find the value of a?

(x – 6) ² + (y + 2) ² + (z – 4) ² = 0, then find the value of 4x - 3y + z.

If y + 1/y = 2 then find y¹¹⁷ + 1/(y¹¹⁷)

If the sum of three numbers is zero, then which of the options below will always be equal to the value of the sum of the cubes of those numbers?

(u - 5) ² + (v + 2) ² + (w – 4) ² = 0, then find the value of 4u - v + w.

If x + 1/x = 3 (x ≠ 0), find the value of x³ + 1/x³.

‘a’ is directly proportional to ‘b’. If at a=30, the value of ‘b’ is 20% greater than ‘a’, then find the value of ‘a’ when b=54.