Question : Directions: In a certain code language, CHALK is coded as 6-16-2-24-22, and BOARD is coded as 4-30-2-36-8. How will PAPER be coded in the same language?
Option 1: 32-2-32-12-36
Option 2: 32-2-32-10-36
Option 3: 36-2-36-12-32
Option 4: 36-2-36-10-32
Correct Answer: 32-2-32-10-36
Solution : Given: CHALK is coded as 6-16-2-24-22, and BOARD is coded as 4-30-2-36-8.
Multiply the positional value of each letter of CHALK by 2, to obtain the required code – C→3 × 2 = 6, H→8 × 2 = 16, A→1 × 2 = 2, L→12 × 2 = 24, K→11 × 2 = 22 Thus, CHALK is coded as 6-16-2-24-22. And BOARD is coded as 4-30-2-36-8 – B→2 × 2 = 4, O→15 × 2 = 30, A→1 × 2 = 2, R→18 × 2 = 36, D→4 × 2 = 8 Thus BOARD is coded as 4-30-2-36-8. Similarly, follow the same pattern for PAPER – P→16 × 2 = 32, A→1 × 2 = 2, P→16 × 2 = 32, E→5 × 2 = 10, R→18 × 2 = 36
Thus, PAPER is coded as 32-2-32-10-36. Hence, the second option is correct.
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