Data Sufficiency — Code language symbol meaning: What does the symbol ‘$’ mean? Statements: I. “5$#3” means “flowers are really good”. II. “7#35” means “good flowers are available”.

Difficulty: Easy

Correct Answer: Both I and II are sufficient

Explanation:


Introduction / Context:
Code language problems map words to symbols. Here we must deduce the meaning of the specific symbol “$”. Data sufficiency focuses on whether the given statements identify this mapping uniquely.


Given Data / Assumptions:

  • I: “5$#3” → “flowers are really good”.
  • II: “7#35” → “good flowers are available”.
  • Each word corresponds consistently to a unique symbol across statements.


Concept / Approach:
Compare the two code–sentence pairs. The overlapping words across the two sentences should match the overlapping symbols. Any leftover word in one sentence should match the leftover symbol in that sentence. That leftover pair gives the required meaning for “$”.


Step-by-Step Solution:
Common words across sentences: “flowers”, “are”, “good”.Common symbols across codes: “5”, “#”, “3”.Therefore, these three words map to {5, #, 3} in some order.Leftover word in Statement I: “really”. Leftover symbol in its code: “$”.Hence, “$” corresponds to “really”.


Verification / Alternative check:
If “$” meant anything other than “really”, one of the three common words would be unmatched—contradicting the exact one-to-one leftover correspondence. Thus the mapping is unique.


Why Other Options Are Wrong:

  • I alone: Without the second sentence, “$” could be any of the four words.
  • II alone: Does not even contain “$”.
  • Either alone: Not enough to isolate “$”.
  • Neither alone: False, because together they suffice.


Common Pitfalls:

  • Overlooking “are” as a common word, which is crucial to get exactly three overlaps.
  • Assuming many-to-one mappings; typical puzzles assume a consistent one-to-one mapping.


Final Answer:
Both I and II are sufficient

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