In a certain code language, 'MATURE' is coded as '7 26 14 22 9 6', and 'OUTPUT' is coded as '7 6 12 7 6 11'. How will 'REMOVE' be coded in that language?
- A9 12 22 12 22 5
- B22 14 9 22 12 5
- C14 22 9 22 5 12
- D12 22 9 5 12 22
Solution & Step-by-step Explanation
Let's analyze the coding pattern for MATURE → 7 26 14 22 9 6:
Let's find the opposite alphabet positions (27−position):
M (13) →27−13=14
A (1) →27−1=26
T (20) →27−20=7
U (21) →27−21=6
R (18) →27−18=9
E (5) →27−5=22
Notice the code given is: 7 26 14 22 9 6
This matches the opposite positional values but arranged in a specific order:
Let's align them:
Opposite of T(20) is 7 → 1st position
Opposite of A(1) is 26 → 2nd position
Opposite of M(13) is 14 → 3rd position
Opposite of E(5) is 22 → 4th position
Opposite of R(18) is 9 → 5th position
Opposite of U(21) is 6 → 6th position
This means the word is split into two halves of 3 letters each, and each half is reversed:
First half: MAT → TAM → Opposites: T(7), A(26), M(14)
Second half: URE → ERU → Opposites: E(22), R(9), U(6)
Let's check OUTPUT → 7 6 12 7 6 11:
First half: OUT → TUO → Opposites: T(7), U(6), O(12)
Second half: PUT → TUP → Opposites: T(7), U(6), P(11)
The pattern is verified.
Now apply this to REMOVE:
First half: REM → MER → Opposites: M(14), E(22), R(9)
Second half: OVE → EVO → Opposites: E(22), V(5), O(12)
Combining both halves gives: 14 22 9 22 5 12.
Let's find the opposite alphabet positions (27−position):
M (13) →27−13=14
A (1) →27−1=26
T (20) →27−20=7
U (21) →27−21=6
R (18) →27−18=9
E (5) →27−5=22
Notice the code given is: 7 26 14 22 9 6
This matches the opposite positional values but arranged in a specific order:
Let's align them:
Opposite of T(20) is 7 → 1st position
Opposite of A(1) is 26 → 2nd position
Opposite of M(13) is 14 → 3rd position
Opposite of E(5) is 22 → 4th position
Opposite of R(18) is 9 → 5th position
Opposite of U(21) is 6 → 6th position
This means the word is split into two halves of 3 letters each, and each half is reversed:
First half: MAT → TAM → Opposites: T(7), A(26), M(14)
Second half: URE → ERU → Opposites: E(22), R(9), U(6)
Let's check OUTPUT → 7 6 12 7 6 11:
First half: OUT → TUO → Opposites: T(7), U(6), O(12)
Second half: PUT → TUP → Opposites: T(7), U(6), P(11)
The pattern is verified.
Now apply this to REMOVE:
First half: REM → MER → Opposites: M(14), E(22), R(9)
Second half: OVE → EVO → Opposites: E(22), V(5), O(12)
Combining both halves gives: 14 22 9 22 5 12.