Question:
If \(\text{TEACHER}\) is coded as \(\text{CAHEETR}\) and \(\text{STUDENT}\) is coded as \(\text{DUETNST}\), then what is the code for \(\text{SUCCESS}\)?
If \(\text{TEACHER}\) is coded as \(\text{CAHEETR}\) and \(\text{STUDENT}\) is coded as \(\text{DUETNST}\), then what is the code for \(\text{SUCCESS}\)?
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When two coded examples are given, write positions \(1\)–\(n\) under the letters and map input indices to output indices—you’ll often spot a fixed reordering pattern to apply to the new word.
Updated On: Aug 14, 2025
- CECSUSS
- CCEUSSS
- SCUSCES
- UCSECSS
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The Correct Option is B
Solution and Explanation
Step 1: Infer the reordering rule from the examples.
Write indices below each letter. For \(\text{TEACHER}\) (\(1\)–\(7\)):
\[ \text{T}_1\ \text{E}_2\ \text{A}_3\ \text{C}_4\ \text{H}_5\ \text{E}_6\ \text{R}_7 \Rightarrow \text{C}_4\ \text{A}_3\ \text{H}_5\ \text{E}_2\ \text{E}_6\ \text{T}_1\ \text{R}_7 \] So the index pattern is: \[ [4,\ 3,\ 5,\ 2,\ 6,\ 1,\ 7]. \] Check with \(\text{STUDENT}\): \(\text{S}_1\text{T}_2\text{U}_3\text{D}_4\text{E}_5\text{N}_6\text{T}_7 \Rightarrow \text{D}_4\text{U}_3\text{E}_5\text{T}_2\text{N}_6\text{S}_1\text{T}_7\), which matches the same pattern. Step 2: Apply the pattern to \(\text{SUCCESS}\).
\[ \text{S}_1\ \text{U}_2\ \text{C}_3\ \text{C}_4\ \text{E}_5\ \text{S}_6\ \text{S}_7 \overset{[4,3,5,2,6,1,7]}{\Longrightarrow} \text{C}_4\ \text{C}_3\ \text{E}_5\ \text{U}_2\ \text{S}_6\ \text{S}_1\ \text{S}_7 = \boxed{\text{CCEUSSS}}. \]
Write indices below each letter. For \(\text{TEACHER}\) (\(1\)–\(7\)):
\[ \text{T}_1\ \text{E}_2\ \text{A}_3\ \text{C}_4\ \text{H}_5\ \text{E}_6\ \text{R}_7 \Rightarrow \text{C}_4\ \text{A}_3\ \text{H}_5\ \text{E}_2\ \text{E}_6\ \text{T}_1\ \text{R}_7 \] So the index pattern is: \[ [4,\ 3,\ 5,\ 2,\ 6,\ 1,\ 7]. \] Check with \(\text{STUDENT}\): \(\text{S}_1\text{T}_2\text{U}_3\text{D}_4\text{E}_5\text{N}_6\text{T}_7 \Rightarrow \text{D}_4\text{U}_3\text{E}_5\text{T}_2\text{N}_6\text{S}_1\text{T}_7\), which matches the same pattern. Step 2: Apply the pattern to \(\text{SUCCESS}\).
\[ \text{S}_1\ \text{U}_2\ \text{C}_3\ \text{C}_4\ \text{E}_5\ \text{S}_6\ \text{S}_7 \overset{[4,3,5,2,6,1,7]}{\Longrightarrow} \text{C}_4\ \text{C}_3\ \text{E}_5\ \text{U}_2\ \text{S}_6\ \text{S}_1\ \text{S}_7 = \boxed{\text{CCEUSSS}}. \]
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