Letter Triad Logic Pattern

The main goal here is to understand the hidden pattern that connects three sets of letters (a triad) in the examples provided: WISE - EWSI - WEIS and PLUS - SPUL - PSLU. Once we figure out this pattern, we need to apply it to the given options to find the one that follows the same rule.

Pattern Rule 1 Explained

Let's look at how the first word changes into the second word in each example. We can assign numbers 1, 2, 3, 4 to the positions of the letters in the first word.

Example 1: WISE becomes EWSI

• Original word: WISE
• Positions: W is 1st, I is 2nd, S is 3rd, E is 4th.
• Resulting word: EWSI
• Analysis: The 4th letter (E) moves to the 1st position. The 1st letter (W) moves to the 2nd position. The 3rd letter (S) stays in the 3rd position. The 2nd letter (I) moves to the 4th position.
• Positional transformation: $1, 2, 3, 4 \rightarrow 4, 1, 3, 2$.

Example 2: PLUS becomes SPUL

• Original word: PLUS
• Positions: P is 1st, L is 2nd, U is 3rd, S is 4th.
• Resulting word: SPUL
• Analysis: The 4th letter (S) moves to the 1st position. The 1st letter (P) moves to the 2nd position. The 3rd letter (U) stays in the 3rd position. The 2nd letter (L) moves to the 4th position.
• Positional transformation: $1, 2, 3, 4 \rightarrow 4, 1, 3, 2$.

Conclusion for Rule 1: The pattern is to rearrange the letters from positions $(1, 2, 3, 4)$ to $(4, 1, 3, 2)$.

Pattern Rule 2 Explained

Now, let's examine how the second word transforms into the third word in each triad. We treat the second word as the new starting sequence (positions 1, 2, 3, 4).

Example 1: EWSI becomes WEIS

• Second word: EWSI
• Positions: E is 1st, W is 2nd, S is 3rd, I is 4th.
• Resulting word: WEIS
• Analysis: The 2nd letter (W) moves to the 1st position. The 1st letter (E) moves to the 2nd position. The 4th letter (I) moves to the 3rd position. The 3rd letter (S) moves to the 4th position.
• Positional transformation: $1, 2, 3, 4 \rightarrow 2, 1, 4, 3$. This means the first two letters swap, and the last two letters swap.

Example 2: SPUL becomes PSLU

• Second word: SPUL
• Positions: S is 1st, P is 2nd, U is 3rd, L is 4th.
• Resulting word: PSLU
• Analysis: The 2nd letter (P) moves to the 1st position. The 1st letter (S) moves to the 2nd position. The 4th letter (L) moves to the 3rd position. The 3rd letter (U) moves to the 4th position.
• Positional transformation: $1, 2, 3, 4 \rightarrow 2, 1, 4, 3$. Again, the first two letters swap, and the last two letters swap.

Conclusion for Rule 2: The pattern is to rearrange the letters from positions $(1, 2, 3, 4)$ to $(2, 1, 4, 3)$.

Options Logic Check

We will now test each option by applying Rule 1 ($1, 2, 3, 4 \rightarrow 4, 1, 3, 2$) followed by Rule 2 ($1, 2, 3, 4 \rightarrow 2, 1, 4, 3$) to the result of Rule 1.

Logic Check: Option 1

Triad: PAWN - NPWA - PANW

Step 1: Apply Rule 1 to PAWN.

• PAWN (Positions: P=1, A=2, W=3, N=4)
• Applying $1, 2, 3, 4 \rightarrow 4, 1, 3, 2$: N(4), P(1), W(3), A(2) results in NPWA.
• This matches the second word in the option.

Step 2: Apply Rule 2 to NPWA.

• NPWA (Positions: N=1, P=2, W=3, A=4)
• Applying $1, 2, 3, 4 \rightarrow 2, 1, 4, 3$: P(2), N(1), A(4), W(3) results in PNAW.
• The third word provided is PANW. Since PNAW is not PANW, Option 1 does not follow the logic.

Logic Check: Option 2

Triad: BORN - NBRO - BNOR

Step 1: Apply Rule 1 to BORN.

• BORN (Positions: B=1, O=2, R=3, N=4)
• Applying $1, 2, 3, 4 \rightarrow 4, 1, 3, 2$: N(4), B(1), R(3), O(2) results in NBRO.
• This matches the second word in the option.

Step 2: Apply Rule 2 to NBRO.

• NBRO (Positions: N=1, B=2, R=3, O=4)
• Applying $1, 2, 3, 4 \rightarrow 2, 1, 4, 3$: B(2), N(1), O(4), R(3) results in BNOR.
• The third word provided is BNOR. This matches the result. Therefore, Option 2 follows the logic perfectly.

Logic Check: Option 3

Triad: DOSE - ODSE - EOSD

Step 1: Apply Rule 1 to DOSE.

• DOSE (Positions: D=1, O=2, S=3, E=4)
• Applying $1, 2, 3, 4 \rightarrow 4, 1, 3, 2$: E(4), D(1), S(3), O(2) results in EDSO.
• The second word provided is ODSE. Since EDSO is not ODSE, Option 3 does not follow the logic.

Logic Check: Option 4

Triad: PAGE - EPAG - AGEP

Step 1: Apply Rule 1 to PAGE.

• PAGE (Positions: P=1, A=2, G=3, E=4)
• Applying $1, 2, 3, 4 \rightarrow 4, 1, 3, 2$: E(4), P(1), G(3), A(2) results in EPGA.
• The second word provided is EPAG. Since EPGA is not EPAG, Option 4 does not follow the logic.

Correct Triad Identified

After applying the derived two-step logic to all the options, only Option 2 (BORN - NBRO - BNOR) successfully reproduces the pattern shown in the original examples.