Step 1: Understanding the Concept:
This is a coding problem where we need to decipher the rule from a given example (BANK \(\to\) DCPM) and then apply that rule to a new word (PHONE).
Step 2: Key Formula or Approach:
We will compare the letter positions of the original word and the coded word to find a consistent pattern.
- B(2) \(\to\) D(4)
- A(1) \(\to\) C(3)
- N(14) \(\to\) P(16)
- K(11) \(\to\) M(13)
Step 3: Detailed Explanation:
Let's analyze the shift in position for each letter in the example BANK \(\to\) DCPM:
- B (2) \(\to\) D (4): The shift is \(+2\).
- A (1) \(\to\) C (3): The shift is \(+2\).
- N (14) \(\to\) P (16): The shift is \(+2\).
- K (11) \(\to\) M (13): The shift is \(+2\).
The rule is simple and consistent: each letter is replaced by the letter that is two positions forward in the alphabet.
Now we apply this rule to the word PHONE:
- P (16): \(16 + 2 = 18\). The 18th letter is R.
- H (8): \(8 + 2 = 10\). The 10th letter is J.
- O (15): \(15 + 2 = 17\). The 17th letter is Q.
- N (14): \(14 + 2 = 16\). The 16th letter is P.
- E (5): \(5 + 2 = 7\). The 7th letter is G.
Combining the letters, the coded word is RJQPG.
Step 4: Final Answer:
The code for PHONE is RJQPG, which corresponds to option (A).