Question

What is the numerical code for ‘food’ in a certain code language, when
I) The code for ‘they gave food’ is ‘123’. 
II) The code for ‘They all can take good food’ is ‘324567’.

• A. Statement I alone is sufficient to answer the question
• B. Statement II alone is sufficient to answer the question.
• C. Statement I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. Statement I and II together are not sufficient to answer the question and additional data is required.

Hint:

To decode a specific word, look for overlapping words across sentences. Without clear common elements, mapping cannot be uniquely determined.

Answer 1

The Correct Option is D

Concept: In coding problems, each word corresponds to a unique code. To identify a specific word’s code, we need overlapping information between sentences.
Step 1: Analyze Statement I alone.
‘they gave food’ $\rightarrow$ 123
There are 3 words and 3 codes, but no way to identify which code corresponds to ‘food’.
Statement I alone is NOT sufficient.
Step 2: Analyze Statement II alone.
‘They all can take good food’ $\rightarrow$ 324567
6 words and 6 codes, but no direct mapping is possible.
Statement II alone is NOT sufficient.
Step 3: Combine both statements.
Even after combining, there is no clear common structure that uniquely identifies the code for ‘food’. Multiple mappings are possible.

Hence, even both statements together are NOT sufficient.