NIMCET 2020 — Reasoning PYQ

Step 1: Analyze the encoding pattern Let us observe how the word INTIMATE is transformed into its code ITNIETAM.

We number the positions of the letters in the original word from 1 to 8:

I1​N2​T3​I4​M5​A6​T7​E8​​

Now, let us write the corresponding code under it and trace the indices:

I1​T3​N2​I4​E8​T7​A6​M5​​

Notice the pattern:

• The word is split exactly into two equal halves of 4 letters each: INTI and MATE.

• First half (INTI): The first letter stays at position 1. The next three letters are written in reverse order (3,2) followed by the 4th letter remaining in place. Essentially, the middle two letters of this block are swapped (2↔3).

• Second half (MATE): The entire second block is reversed completely, turning MATE into ETAM (8,7,6,5).

Step 2: Reverse the pattern to find the original word The question asks which word has the code TREVNIETARBI. This means we are given the code and need to find the original word. Let us reverse the steps.

The code has 12 letters: TREVNIETARBI. We split it into two equal halves of 6 letters each:

• First Half Code: TREVNI

• Second Half Code: ETARBI

Let's reverse the operations for each block:

• For the second half (ETARBI): Since the second block of the original word was entirely reversed to create the code, we reverse ETARBI back to get its original form:

  Reverse of ETARBI=IBRATE

• For the first half (TREVNI): Let us apply the structural transformation. In the example, the code was tracking indices (1,3,2,4). For a 6-letter block, the corresponding pattern maps the positions by keeping the boundary letters fixed and reversing the inner chunk, or reversing in a specific subgroup. Let's check the options to confirm the expected layout. All options start with INV... or INVER.... If the original first half was INVERT, let's check how it maps to TREVNI:

  I1​N2​V3​E4​R5​T6​​

  Reversing the inner letters from index 2 to 5 (NVER → REVN) gives:

  I+REVN+T=IREVNT(Close, but code has T at the start).

  Let's look at another clean splitting block structure: Pairs of letters reversed!

  • IN → NI

  • TI → IT

  • MA → AM

  • TE → ET This means the original example pairs were: IN → TN? No, INTIMATE → ITNIETAM. Let's re-verify: IN → IT? No. Let's look at alternative positions:

  • Odd positions: 1,3,5,7⟹I,T,M,T

  • Even positions: 2,4,6,8⟹N,I,A,E

  Let's look at the given code TREVNIETARBI and compare it directly to Option C (INVERTIBRATE): Original Word: INVERTIBRATE

  • First half: INVERT

  • Second half: IBRATE → Reversed completely: ETARBI (Matches code exactly!)

  Now look at how INVERT becomes TREVNI:

  Reverse of INVERT=TREVNI

  Wow! The rule is actually simpler when applied to the halves: Both halves of the word are simply reversed completely! Let's check the example INTIMATE with this rule:

  • First half: INTI → Reversed: ITNI

  • Second half: MATE → Reversed: ETAM

  • Combined: ITNIETAM (Matches the example perfectly!)

Step 3: Combine the original halves

• First half of code: TREVNI → Reversed back: INVERT

• Second half of code: ETARBI → Reversed back: IBRATE

Original Word=INVERT+IBRATE=INVERTIBRATE

Correct Option: C