Coding — In a code, '146' means 'adopt good habits'. What is the code for 'habit'? Statements: I. '143' means 'like good pictures'. II. '826' means 'passion becomes habit'.

Difficulty: Medium

Correct Answer: Both Statements I and II together are sufficient, but neither alone is sufficient.

Explanation:


Introduction / Context:
We must isolate the digit-code corresponding to the word 'habit' by using overlaps across coded sentences.


Given Data / Assumptions:

  • Base: '146' ↔ {adopt, good, habits}.
  • I: '143' ↔ {like, good, pictures}.
  • II: '826' ↔ {passion, becomes, habit}.


Concept / Approach:
Use intersection: the common word 'good' between 146 and 143 implies its code is shared between {1,4}; then intersect 146 with 826 to pin the remaining common word as 'habit(s)'.


Step-by-Step Solution:

Common(146,143) → word 'good' ↔ code ∈ {1,4}.Common(146,826) → shared code = 6; shared word = habit(s) ⇒ 'habit' ↔ 6.Individually, neither I nor II alone can isolate the code for 'habit'; together they do.


Verification / Alternative check:
Remaining codes pair consistently with the other words without contradiction.


Why Other Options Are Wrong:

  • A/B/C/D: Each single statement is insufficient; the combination is exactly sufficient.


Common Pitfalls:
Being distracted by plural 'habits' vs singular 'habit'; in such code problems stems map identically.


Final Answer:
E — Together sufficient (code for 'habit' = 6).

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