In each of the following questions, the second word is formed by rearranging the letters of the first word according to a specific pattern. Identify the same rearrangement rule and apply it to the third word to select the correct answer from the given alternatives. EIGHTY : GIEYTH :: OUTPUT : ?

Correct — D.
Rule: cut the word into two halves of three and reverse each half.

EIGHTY → EIG | HTY → GIE | YTH = GIEYTH
OUTPUT → OUT | PUT → TUO | TUP

Joined, that reads TUOTUP → option (d).

Why the others are wrong

• (a)
  UTOPTU — UTOPTU starts UTO, but OUT reversed is TUO. It fails at the first letter, where the rule puts the half's last letter, T.
• (b)
  UOTUPT — UOTUPT only swaps the first two letters of each half. Tested on EIGHTY, that rule gives IEGTHY, not GIEYTH.
• (c)
  TUOPUT — TUOPUT reverses the first half but leaves PUT untouched. In the given pair both halves turn round: HTY became YTH.

A rearrangement analogy fixes a position map. Number the letters of EIGHTY 1 to 6; GIEYTH then reads 3-2-1-6-5-4.

Apply the same map to OUTPUT (O1 U2 T3 P4 U5 T6): positions 3-2-1-6-5-4 are T, U, O, T, U, P.

Key facts

• Map for this pair: 3-2-1-6-5-4, each half of three reversed.
• Test any candidate rule on the given pair first: it must turn EIGHTY into GIEYTH.
• When letters repeat, as in OUTPUT, work by position numbers.

Common traps

• Reversing only the first half, which gives TUOPUT
• Swapping just the first two letters of each half, a rule EIGHTY : GIEYTH does not support

No directly related past PYQ was found.