Question

If OVER is coded as QYIW and UP as WS, then STAR is coded as:

• A. UWEV
• B. UWDV
• C. UVBS
• D. UWEW

Hint:

Always write down the numerical values of the letters on your rough sheet. Working with numbers (\( 15 \rightarrow 17 \)) is faster and less prone to manual counting errors than working with letters.

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
We need to identify the pattern used to encode the words 'OVER' to 'QYIW' and 'UP' to 'WS', and then apply this pattern to encode the word 'STAR'.

Step 2: Detailed Explanation:
Let us find the letter-to-letter shifts by looking at their numerical positions in the alphabet:
For the word 'OVER' coded as 'QYIW':
- O (15) \(\rightarrow\) Q (17) : Shift is \( +2 \)
- V (22) \(\rightarrow\) Y (25) : Shift is \( +3 \)
- E (5) \(\rightarrow\) I (9) : Shift is \( +4 \)
- R (18) \(\rightarrow\) W (23) : Shift is \( +5 \)
The pattern is an increasing incremental shift: \( +2, +3, +4, +5 \).
Let us verify this with 'UP' coded as 'WS':
- U (21) \(\rightarrow\) W (23) : Shift is \( +2 \)
- P (16) \(\rightarrow\) S (19) : Shift is \( +3 \)
The pattern holds true.
Now, let us apply this pattern to 'STAR':
- S (19) \( + 2 \rightarrow \) U (21)
- T (20) \( + 3 \rightarrow \) W (23)
- A (1) \( + 4 \rightarrow \) E (5)
- R (18) \( + 5 \rightarrow \) W (23)
Combining these letters, 'STAR' is coded as 'UWEW'.

Step 3: Final Answer:
(D) UWEW