Question

Find the largest value of k such that a 6-digit number 450k1k is divisible by 3.

• A. 7
• B. 9
• C. 8
• D. 6

Answer 1

Answer:

A. 7

Solution: Given: 6 digit number 450k1k is divisible by 3. Concept: A given number is divisible by 3, if the sum of the digits of the given number is divisible by 3. Calculation: 4 + 5 + 0 + k + 1 + k = 10 + 2k So, possible values of k is 1, 4, 7. i.e. (10 + 2 × 1 = 12, 10 + 2 × 4 = 18 and 10 + 2 × 7 = 24) Largest value of k is 7. ∴ The largest value of k is 7.