Concept:Each letter is replaced by its position in the English alphabet, and the code is the product of these positions.Explanation:Write the alphabet values: A=1, B=2, C=3, D=4, E=5, G=7, K=11.For BD, multiply positions: B×D=2×4=8.For AGE, multiply positions: A×G×E=1×7×5=35.This confirms the rule.Now code CAKE: use C=3, A=1, K=11, E=5.So, C×A×K×E=3×1×11×5.Calculate: 3×1=3, then 3×11=33, then 33×5=165.Thus CAKE is coded as 165.Answer:165, which matches option B.