Question

If the number x4584 is divisible by 11, what is the face value of x?

• A. 4
• B. 5
• C. 3
• D. 2

Answer 1

Answer:

C. 3

Concept used: For a number to be divisible by 11 the difference between the sum of odd place digits and even place digits must be 0 or divisible by 11. Calculation: ∴ Sum of odd place digits = x + 5 + 4 = x + 9 ∴ Sum of even place digits = 4 + 8 = 12 ∴ Difference between the sum of odd place digits and even place digits, ⇒ x + 9 – 12 = 0 ⇒ x – 3 = 0 ⇒ x = 3 ∴ The value of x must be 3