Which of the following additional statements is required to definitely find the code of ‘and’ in the given code language?

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Accepted Answer

Step 1: From the given statements identify fixed mappings by intersections:
- From “employment for growth only” = `el pk fd zn` and “growth is related today” = `el dy gm my`, the common code `el` corresponds to the common word “growth”. So $el=$ growth.
- From “employment for growth only” and “work and employment today” = `pk bx oj dy`, the common code `pk` corresponds to the common word “employment”. So $pk=$ employment.
- From “work and employment today” and “growth is related today”, the common code `dy` corresponds to the common word “today”. So $dy=$ today.
- From “economy and work related” = `oj my bx st` and “growth is related today” = `el dy gm my`, the common code `my` corresponds to the common word “related”. So $my=$ related.

Step 2: After these deductions, compare the first two given sentences:
- Words common to both are {work, and} and their codes common to both code-sets are $\{oj,\;bx\}$. So with only the initial four statements we cannot yet decide which of $oj$ or $bx$ is “work” and which is “and”.

Step 3: Use the additional statement (2): “work today also important” = `Iv en oj dy`.
- We already know $dy=$ today, so the remaining codes `Iv en oj` correspond to {work, also, important}.
- Compare this with “work and employment today” = `pk bx oj dy`. The common codes between these two code-strings are $\{oj,\;dy\}$, and the common words are {work, today}.
- Since $dy=$ today, the other common code $oj$ must correspond to the other common word, i.e. work. Thus $oj=$ work.

Step 4: Once $oj=$ work, from the pair {oj, bx} that mapped to {work, and}, the remaining code $bx$ must be “and”. Therefore the additional statement (2) definitively yields the code for “and” as $bx$.

FINAL_ANSWER: b

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