If 7845K854 is divisible by 11, then what is the value of K?
Question:
If 7845K854 is divisible by 11, then what is the value of K?
If 7845K854 is divisible by 11, then what is the value of K?
Options
Answer: (2) 9
Explanation:
Divisibility rule for 11: (sum of digits in odd positions) − (sum of digits in even positions) must be 0 or a multiple of 11. Odd positions (1,3,5,7): 7, 4, K, 5 Sum₁ = 7 + 4 + K + 5 = 16 + K Even positions (2,4,6,8): 8, 5, 8, 4 Sum₂ = 8 + 5 + 8 + 4 = 25 Apply rule: (16 + K) − 25 = 0 or ±11 K − 9 = 0 K = 9 Final Answer: 9
Explanation:
Divisibility rule for 11: (sum of digits in odd positions) − (sum of digits in even positions) must be 0 or a multiple of 11. Odd positions (1,3,5,7): 7, 4, K, 5 Sum₁ = 7 + 4 + K + 5 = 16 + K Even positions (2,4,6,8): 8, 5, 8, 4 Sum₂ = 8 + 5 + 8 + 4 = 25 Apply rule: (16 + K) − 25 = 0 or ±11 K − 9 = 0 K = 9 Final Answer: 9
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