Let's analyze the given relationship between the terms step by step.
Given:
· TRAINER : VTCIQHU
· RADIANT : TCFIDQW
· CUSHION : ?
We will first determine the pattern between TRAINER and VTCIQHU, then apply the same logic to RADIANT and TCFIDQW, and finally apply that pattern to CUSHION.
Step 1: Analyze the relationship between TRAINER and VTCIQHU
Compare each letter of TRAINER to VTCIQHU:
· T → V: T is moved forward by 2 positions (T + 2 = V).
· R → T: R is moved forward by 2 positions (R + 2 = T).
· A → C: A is moved forward by 2 positions (A + 2 = C).
· I → I: I remains the same.
· N → Q: N is moved forward by 3 positions (N + 3 = Q).
· E → H: E is moved forward by 3 positions (E + 3 = H).
· R → U: R is moved forward by 3 positions (R + 3 = U).
So, the pattern involves adding 2 to the first three letters, and 3 to the last three letters.
Step 2: Apply the same pattern to RADIANT and TCFIDQW
Now, let's check how the pattern applies to RADIANT:
· R → T: R is moved forward by 2 positions.
· A → C: A is moved forward by 2 positions.
· D → F: D is moved forward by 2 positions.
· I → I: I remains the same.
· A → D: A is moved forward by 3 positions.
· N → Q: N is moved forward by 3 positions.
· T → W: T is moved forward by 3 positions.
Step 3: Apply the pattern to CUSHION
Now, apply the same pattern to CUSHION:
· C → E: C is moved forward by 2 positions.
· U → W: U is moved forward by 2 positions.
· S → U: S is moved forward by 2 positions.
· H → H: H remains the same.
· I → L: I is moved forward by 3 positions.
· O → R: O is moved forward by 3 positions.
· N → Q: N is moved forward by 3 positions.
The resulting word is EWUHLRQ.
Option (a) is the correct answer.