Study the following information carefully and answer the given question. In a…

2024

Study the following information carefully and answer the given question. In a certain code language:

  • 'down cyber market report' is coded as 'bx fe fm xp'

  • 'cyber watch order market' is coded as 'fm xp xe kx'

  • 'down market major watch' is coded as 'xi xe fm fe'

  • 'smog report market today' is coded as 'dx bx lx fm'

Which of the following words is coded as 'xp'?

  1. A.

    smog

  2. B.

    down

  3. C.

    cyber

  4. D.

    market

Attempted by 9 students.

Show answer & explanation

Correct answer: C

Concept: In word-code puzzles built from several coded sentences, a word's code is pinned down by comparing two statements that share exactly one common word besides the repeating word — the code shared by both statements' code sets must belong to the word they have in common. Repeating this pairwise common-word / common-code comparison isolates every code in turn.

Application:

  1. 'market' is the only word common to all four statements. The single code common to all four code sets — {bx, fe, fm, xp}, {fm, xp, xe, kx}, {xi, xe, fm, fe}, {dx, bx, lx, fm} — is fm. So market = fm.

  2. Statements 1 and 3 ('down cyber market report' / 'down market major watch') share only the words down and market. Their code sets {bx, fe, fm, xp} and {xi, xe, fm, fe} share only fm and fe. Since market = fm, the remaining shared code fe must belong to down.

  3. Statements 1 and 4 ('down cyber market report' / 'smog report market today') share only the words report and market. Their code sets {bx, fe, fm, xp} and {dx, bx, lx, fm} share only bx and fm. Since market = fm, the remaining shared code bx must belong to report.

  4. Statements 1 and 2 ('down cyber market report' / 'cyber watch order market') share only the words cyber and market. Their code sets {bx, fe, fm, xp} and {fm, xp, xe, kx} share only fm and xp. Since market = fm, the remaining shared code xp must belong to cyber.

Cross-check: Statement 1's full code set {bx, fe, fm, xp} covers down, cyber, market, report. With down = fe, cyber = xp, market = fm and report = bx, all four codes are used exactly once with no leftover or clash, confirming the mapping. So the word coded as 'xp' is cyber.

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