In a certain code language, ‘INSTITUTE’ is written as ‘JOTUKWXWH’ and ‘OPPRESSOR’ is written as ‘PQQSGVVRU’. How will ‘TRANSFORM’ be written in the same code language?
- AUBSOUIRUP
- BUSCOUIRUP
- CUSBOUIRUP
- DUTBOUIRVP
Solution & Step-by-step Explanation
Let's analyze the pattern by looking at the positional shift of each letter in the words:
Case 1: INSTITUTE → JOTUKWXWH
I(+1)→J
N(+1)→O
S(+1)→T
T(+1)→U
I(+2)→K
T(+3)→W
U(+3)→X
T(+3)→W
E(+3)→H
Notice the division of the word length (9 letters):
First 4 letters increase by +1.
The middle letter (5
th
letter) increases by +2.
The last 4 letters increase by +3.
Case 2: OPPRESSOR → PQQSGVVRU
First 4 letters (O, P, P, R): +1→P, Q, Q, S
Middle letter (E): +2→G
Last 4 letters (S, S, O, R): +3→V, V, R, U
This perfectly confirms our pattern.
Applying to TRANSFORM (9 letters):
First 4 letters (T, R, A, N) +1→U, S, B, O
Middle letter (S) +2→U
Last 4 letters (F, O, R, M) +3→I, R, U, P
Combining them gives USBOUIRUP.
Case 1: INSTITUTE → JOTUKWXWH
I(+1)→J
N(+1)→O
S(+1)→T
T(+1)→U
I(+2)→K
T(+3)→W
U(+3)→X
T(+3)→W
E(+3)→H
Notice the division of the word length (9 letters):
First 4 letters increase by +1.
The middle letter (5
th
letter) increases by +2.
The last 4 letters increase by +3.
Case 2: OPPRESSOR → PQQSGVVRU
First 4 letters (O, P, P, R): +1→P, Q, Q, S
Middle letter (E): +2→G
Last 4 letters (S, S, O, R): +3→V, V, R, U
This perfectly confirms our pattern.
Applying to TRANSFORM (9 letters):
First 4 letters (T, R, A, N) +1→U, S, B, O
Middle letter (S) +2→U
Last 4 letters (F, O, R, M) +3→I, R, U, P
Combining them gives USBOUIRUP.