Directions: A number/word arrangement machine, when given an input line of…

2020

Directions: A number/word arrangement machine, when given an input line of words, rearranges them following a particular rule. The following is an illustration of the input and the steps of rearrangement.

Input: stadium language lunatic ambition condition consonant

Step I: stadium lunatic language consonant condition ambition

Step II: ttadiun munatid manguagf donsonanu donditioo bmbitioo

Step III: adinttu adimntu aafggmnu adnnnoosu ddiinooot bbiimoot

Step IV: bejouuv bejnouv bbghhnov beooopptv eejjopppu ccjjnppu

Step V: bbghhnov bejnouv bejouuv beooopptv ccjjnppu eejjopppu

Step V is the last step of the rearrangement. Applying the same logic, rearrange the given input.

Input: dangerous duplicate murder cannot survive triangle

What will be the LAST STEP for the given input?

  1. A.

    bdfgjmquv befhsva beoopv bffhopsuv bfostv gjsuvww

  2. B.

    befgjmquv befhsva beoopv bffhopsuv efostv gjsuvww

  3. C.

    cdfgjmquv befhsva beoopv bffhopsuv efostv gjsuvww

  4. D.

    bdfgjmquv beoopv bffhopsuv bghjmosv efostv gjsuvww

  5. E.

    None of these

Attempted by 2 students.

Show answer & explanation

Correct answer: D

Concept

This is a letter-shift / alphabetical-rearrangement machine. The rule never changes between steps; each step applies one fixed operation to every word, so the safest method is to first DECODE the rule from the illustration, then apply the exact same rule to the new input.

Decoding the rule from the illustration

  1. Step I: the six words are reordered (this ordering does not affect the final letters, so it can be ignored for the last step).

  2. Step II: in each word the first and last letter only are each shifted +1 in the alphabet (a->b, t->u, m->n). Example: stadium -> ttadiun (s->t, m->n).

  3. Step III: the letters of each Step-II word are sorted into ascending alphabetical order. Example: ttadiun -> adinttu.

  4. Step IV: every letter of the Step-III word is shifted +1. Example: adinttu -> bejouuv.

  5. Step V (last step): the Step-IV words are arranged in ascending alphabetical order.

Applying the rule to the new input

Input: dangerous duplicate murder cannot survive triangle. Run each word through II -> III -> IV:

Word

Step II (ends +1)

Step III (sorted)

Step IV (all +1)

dangerous

eangerout

aeegnortu

bffhopsuv

duplicate

euplicatf

acefilptu

bdfgjmquv

murder

nurdes

denrsu

efostv

cannot

dannou

adnnou

beoopv

survive

turvivf

firtuvv

gjsuvww

triangle

urianglf

afgilnru

bghjmosv

Last step (Step V): sort the Step-IV words ascending

bdfgjmquv beoopv bffhopsuv bghjmosv efostv gjsuvww

Cross-check

Re-running the illustration's Step IV through the same ascending sort reproduces its given Step V exactly, confirming the rule. Note that Step IV legitimately introduces letters absent from the input (e->f, i->j, p->q) because every letter is shifted +1 — so a string containing f, j or q is NOT automatically invalid; it must instead match the precise word-by-word transformation above.

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