Question:
What is the code for BEAUTIFUL in the code language?
Statements:
(I) In this code language ROSES ARE BEAUTIFUL is coded as Za Yb Xc.
(II) In this language GIRLS ARE BEAUTIFUL is coded as Xc Za Wd.
What is the code for BEAUTIFUL in the code language?
Statements:
(I) In this code language ROSES ARE BEAUTIFUL is coded as Za Yb Xc.
(II) In this language GIRLS ARE BEAUTIFUL is coded as Xc Za Wd.
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In coding-decoding, the number of common words must reduce to one to identify a unique code.
Updated On: Jul 15, 2026
- Statement (I) alone is sufficient to answer the question, but (II) alone is not sufficient.
- Statement (II) alone is sufficient to answer the question, but (I) alone is not sufficient.
- Both the statements (I) and (II) are sufficient to answer the question, but neither statement alone is sufficient.
- Both the statements (I) and (II) together are not sufficient to answer the question and additional data are required.
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The Correct Option is D
Solution and Explanation
Concept:
In coding-decoding, to identify the code of a word, we compare common words in multiple statements and find their common codes.
Step 1: Checking Statement (I).
Given: \[ \text{ROSES ARE BEAUTIFUL} \rightarrow Za\;Yb\;Xc \] Words: \[ \text{ROSES, ARE, BEAUTIFUL} \] Codes: \[ Za,\;Yb,\;Xc \] But we do not know which code corresponds to BEAUTIFUL. Thus, Statement (I) alone is not sufficient.
Step 2: Checking Statement (II).
Given: \[ \text{GIRLS ARE BEAUTIFUL} \rightarrow Xc\;Za\;Wd \] Words: \[ \text{GIRLS, ARE, BEAUTIFUL} \] Codes: \[ Xc,\;Za,\;Wd \] Again, BEAUTIFUL cannot be uniquely identified. Thus, Statement (II) alone is not sufficient.
Step 3: Checking both statements together.
Common words in both statements: \[ ARE,\; BEAUTIFUL \] Common codes in both statements: \[ Za,\; Xc \] But since there are two common words and two common codes, we cannot uniquely assign which code belongs to BEAUTIFUL. Hence, additional data are required.
Step 1: Checking Statement (I).
Given: \[ \text{ROSES ARE BEAUTIFUL} \rightarrow Za\;Yb\;Xc \] Words: \[ \text{ROSES, ARE, BEAUTIFUL} \] Codes: \[ Za,\;Yb,\;Xc \] But we do not know which code corresponds to BEAUTIFUL. Thus, Statement (I) alone is not sufficient.
Step 2: Checking Statement (II).
Given: \[ \text{GIRLS ARE BEAUTIFUL} \rightarrow Xc\;Za\;Wd \] Words: \[ \text{GIRLS, ARE, BEAUTIFUL} \] Codes: \[ Xc,\;Za,\;Wd \] Again, BEAUTIFUL cannot be uniquely identified. Thus, Statement (II) alone is not sufficient.
Step 3: Checking both statements together.
Common words in both statements: \[ ARE,\; BEAUTIFUL \] Common codes in both statements: \[ Za,\; Xc \] But since there are two common words and two common codes, we cannot uniquely assign which code belongs to BEAUTIFUL. Hence, additional data are required.
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