All combination locks manufactured by the Gulzar Combination Lock Company have a combination that consists of four elements a one-digit number, a two-digit number, and two letters of the alphabet. Each combination conforms to the following rules. i. The one-digit number is the first element in the combination. ii. The two letters of the alphabet are not adjacent elements in the combination. iii. The two-digit number consists of two different numerals. iv. The two-digit number has no numerals in common with the one-digit number. The sequence of elements 9-K-M-29 violates which of the given rules?
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Explanation: If has adjacent alphabets as well as common numerals. Rule 2 is violated because K and M are adjacent. Rule 4 is violated because the one-digit number is 9 and the two-digit number is 29, which share a numeral (9) which is incorrect. The one-digit number is 9 and the two-digit number is 29. The numerals in the two-digit number are 2 and 9. The common numeral is 9. This violates rule iv. The letters K and M are adjacent, which violates rule ii. The two-digit number 29 has two different numerals (2 and 9), so rule iii is not violated.