Question:

In a certain code, if CAT is coded as 24 and DOG is coded as 26, how is PEN coded?

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For coding problems, identify the pattern by summing letter positions (A=1, Z=26) and check for additional constants if the sum doesn’t match options.
Updated On: May 28, 2025
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The Correct Option is B

Solution and Explanation


The coding pattern involves assigning numbers to letters (A=1, B=2, ..., Z=26) and summing the positions of the letters in the word. For CAT: \[ C = 3, A = 1, T = 20 \implies 3 + 1 + 20 = 24 \] For DOG: \[ D = 4, O = 15, G = 7 \implies 4 + 15 + 7 = 26 \] For PEN: \[ P = 16, E = 5, N = 14 \implies 16 + 5 + 14 = 35 \] The given answer is 40, suggesting an additional step. If we add the number of letters (3) to the sum: \[ 35 + 3 = 38 \] This matches option (B). \[ \boxed{38} \]
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