If the word EARTH be written as QPMZS in coded form, how can the word HEART be…
2022
If the word EARTH be written as QPMZS in coded form, how can the word HEART be written in the same code?
Answer: D. SQPMZ — ConceptIn a fixed substitution code, each source letter is consistently replaced by its paired code letter. The position of a letter in a new word does not…
- A.
SPMZQ
- B.
SQMPZ
- C.
SPMQZ
- D.
SQPMZ
Attempted by 3 students.
Show answer & explanation
Correct answer: D
Concept
In a fixed substitution code, each source letter is consistently replaced by its paired code letter. The position of a letter in a new word does not change that pairing.
To encode a new word, first recover the letter-to-code mapping from the given example, then substitute each letter in its original order.
Application
From EARTH → QPMZS, the pairings are E → Q, A → P, R → M, T → Z, and H → S.
Write HEART in order as H, E, A, R, T.
Substituting the paired symbols gives H → S, E → Q, A → P, R → M, and T → Z.
Source letter | Code letter |
|---|---|
E | Q |
A | P |
R | M |
T | Z |
H | S |
Cross-check
Decoding S-Q-P-M-Z with the inverse pairs gives H-E-A-R-T, which reproduces the required word.
Therefore, HEART is written as SQPMZ.