In a certain code, BASIC is written as DDULE. How is LEADER written in...
The letters at the odd numbered positions in the word are each moved two steps forward while those at the even numbered positions are each moved three steps forward to obtain the corresponding letters of the code.
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In a certain code, BASIC is written as DDULE. How is LEADER written in...
Understanding the Code Transformation
To decode how BASIC is transformed into DDULE, we need to analyze the pattern of letter changes.
Letter-by-Letter Analysis
- B to D: +2 (B=2, D=4)
- A to D: +3 (A=1, D=4)
- S to U: +3 (S=19, U=21)
- I to L: +3 (I=9, L=12)
- C to E: +2 (C=3, E=5)
The pattern reveals a sequence of shifts:
- The first letter shifts by +2,
- The second letter shifts by +3,
- The third letter shifts by +3,
- The fourth letter shifts by +3,
- The fifth letter shifts by +2.
Applying the Same Transformation to LEADER
Now, we will apply the same letter-shifting pattern to the word LEADER.
- L (12) to N (14): +2
- E (5) to H (8): +3
- A (1) to D (4): +3
- D (4) to G (7): +3
- E (5) to H (8): +3
- R (18) to U (21): +3
Resulting Letters
- From L to N: N
- From E to H: H
- From A to D: D
- From D to G: G
- From E to H: H
- From R to U: U
Thus, LEADER is transformed into NHGDGHU.
Conclusion
The correct answer based on the transformation rules is option B: NHCGGU.