1. Coding Decoding Problem

Step 1: Analyze the pattern for the given words

The pattern assigns each letter a numerical value based on its position in the alphabet (A=1, B=2, ..., Z=26). The value of a word is calculated by summing the values of its letters and multiplying by 100.

• BOOK: B=2, O=15, O=15, K=11 → Sum=2+15+15+11=43 → Value=43×100=4300
• MATE: M=13, A=1, T=20, E=5 → Sum=13+1+20+5=39 → Value=39×100=3900

Step 2: Find the word that represents 1600

To find the word with value 1600, the sum of its letter values must be 16.

• (a) GOOD: G=7, O=15, O=15, D=4 → Sum=7+15+15+4=41 → Value=4100
• (b) WOOD: W=23, O=15, O=15, D=4 → Sum=23+15+15+4=57 → Value=5700
• (c) CRAB: C=3, R=18, A=1, B=2 → Sum=3+18+1+2=24 → Value=2400
• (d) CAGE: C=3, A=1, G=7, E=5 → Sum=3+1+7+5=16 → Value=16×100=1600

Answer: The correct option is (d) CAGE.