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In a certain code language, 'PLATE' is coded as '25693' and 'MASK' is coded as '3417' and 'KEPT' is coded as '4695'. What is the code for 'L' in the given code language?
2
5
4
9
2
Observe the progression of the digits in the sequence: each number is obtained by adding a value that increases by 3 in each step (+3, +6, +9, ...).
Observe the progression of the digits in the sequence: each number is obtained by adding a value that increases by 3 in each step (+3, +6, +9, ...).
Analyze the difference between terms
Identify the gaps between consecutive numbers: 5 - 2 = 3; 11 - 5 = 6; 20 - 11 = 9.
Determine the rule
The differences are 3, 6, 9, which follow the pattern of 3 times the step index (31, 32, 3*3).
Calculate the next term
The next difference must be 3 * 4 = 12. Therefore, 20 + 12 = 32.
B: 28 is incorrect as it implies adding 8. C: 30 is incorrect as it implies adding 10. D: 35 is incorrect as it doesn't follow the 3-table increment.
A is correct because the sequence follows the addition of multiples of 3 (3, 6, 9, 12), resulting in 20 + 12 = 32.
In series questions, always check the difference between terms first. If the difference is not constant, check if the differences themselves form a sequence (e.g., squares, multiples, or primes).
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