Question

In a certain code language, ‘ORANGE’ is coded as 30-36-02-28-14-10. Then how will ‘FRUITS’ be coded in the same language?

• A. 12-36-40-18-42-36
• B. 12-36-42-16-40-38
• C. 12-36-42-16-40-38
• D. 12-36-40-18-42-38

Hint:

When coding letters, identify the pattern of transformation from their positions in the alphabet to the corresponding number. Apply the same rule to other words.

Answer 1

The Correct Option is B

We are given that ‘ORANGE’ is coded as 30-36-02-28-14-10. We can observe that the coding rule follows a pattern: \[ \text{Code} = (\text{Alphabet Position} \times 2) - 1 \] Let’s break down the coding of ‘ORANGE’:
- O = 15, R = 18, A = 1, N = 14, G = 7, E = 5
- Applying the rule:
- O: (15 2) - 1 = 30
- R: (18 2) - 1 = 36
- A: (1 2) - 1 = 1
- N: (14 2) - 1 = 28
- G: (7 2) - 1 = 14
- E: (5 2) - 1 = 10
Now apply the same rule to ‘FRUITS’:
- F = 6, R = 18, U = 21, I = 9, T = 20, S = 19
- Applying the rule:
- F: (6 2) - 1 = 12
- R: (18 2) - 1 = 36
- U: (21 2) - 1 = 42
- I: (9 2) - 1 = 16
- T: (20 2) - 1 = 40
- S: (19 2) - 1 = 38
Thus, ‘FRUITS’ is coded as 12-36-42-16-40-38.