In a certain code language, 'KITCHEN' is written as 'OQFWRUL' and 'COOKER' is written as 'WKKOUH'. How will 'CUTTER' be written in that language?
- AUHFFWE
- BWEFFUH
- CFFUHWE
- DWFUFHE
Solution & Step-by-step Explanation
Let's analyze the pattern for 'KITCHEN' → 'OQFWRUL':
Let's reverse the word 'KITCHEN' → 'NEHCTIK'.
Now look at the shift from 'NEHCTIK' to 'OQFWRUL':
N (14) +1=O (15)
E (5) +12=Q (17)? No, let's look at direct position matching without reversing:
K(11) → O(15) [+4]
I(9) → Q(17) [+8]
T(20) → F(6) [-14 or +12]
Let's check another way:
Split the word 'KITCHEN' into elements or look at cross coding:
Notice that 'COOKER' becomes 'WKKOUH':
If we reverse COOKER → REKOOC:
R(18) + 5 = W(23)
E(5) + 6 = K(11)
K(11) + 0 = K(11)
O(15) + 0 = O(15)
O(15) + 6 = U(21)
C(3) + 5 = H(8)
Let's check this symmetric pattern: +5,+6,+0,+0,+6,+5 from the reversed string.
Let's test this on KITCHEN (7 letters, middle letter is C):
Reversed: N E H C T I K
N (14) + 1 = O?
Let's find a cleaner direct mapping:
Look at COOKER → WKKOUH
C → W
O → K
O → K
K → O
E → U
R → H
Notice pairs of opposite letters or constant sums:
C(3) + W(23) = 26
O(15) + K(11) = 26
O(15) + K(11) = 26
K(11) + O(15) = 26
E(5) + U(21) = 26
R(18) + H(8) = 26
Wow! The sum of the positional values of the letter and its code is always 26!
Let's check if this holds for KITCHEN → OQFWRUL:
K (11) + O (15) = 26
I (9) + Q (17) = 26
T (20) + F (6) = 26
H (8) + R (18) = 26
E (5) + U (21) = 26
N (14) + L (12) = 26
Yes! The rule is: Code letter = 26 - Original letter position.
Now let's find the code for CUTTER:
C (3) →26−3=23→ W
U (21) →26−21=5→ E
T (20) →26−20=6→ F
T (20) →26−20=6→ F
E (5) →26−5=21→ U
R (18) →26−18=8→ H
So, 'CUTTER' is coded as WEFFUH.
Let's reverse the word 'KITCHEN' → 'NEHCTIK'.
Now look at the shift from 'NEHCTIK' to 'OQFWRUL':
N (14) +1=O (15)
E (5) +12=Q (17)? No, let's look at direct position matching without reversing:
K(11) → O(15) [+4]
I(9) → Q(17) [+8]
T(20) → F(6) [-14 or +12]
Let's check another way:
Split the word 'KITCHEN' into elements or look at cross coding:
Notice that 'COOKER' becomes 'WKKOUH':
If we reverse COOKER → REKOOC:
R(18) + 5 = W(23)
E(5) + 6 = K(11)
K(11) + 0 = K(11)
O(15) + 0 = O(15)
O(15) + 6 = U(21)
C(3) + 5 = H(8)
Let's check this symmetric pattern: +5,+6,+0,+0,+6,+5 from the reversed string.
Let's test this on KITCHEN (7 letters, middle letter is C):
Reversed: N E H C T I K
N (14) + 1 = O?
Let's find a cleaner direct mapping:
Look at COOKER → WKKOUH
C → W
O → K
O → K
K → O
E → U
R → H
Notice pairs of opposite letters or constant sums:
C(3) + W(23) = 26
O(15) + K(11) = 26
O(15) + K(11) = 26
K(11) + O(15) = 26
E(5) + U(21) = 26
R(18) + H(8) = 26
Wow! The sum of the positional values of the letter and its code is always 26!
Let's check if this holds for KITCHEN → OQFWRUL:
K (11) + O (15) = 26
I (9) + Q (17) = 26
T (20) + F (6) = 26
H (8) + R (18) = 26
E (5) + U (21) = 26
N (14) + L (12) = 26
Yes! The rule is: Code letter = 26 - Original letter position.
Now let's find the code for CUTTER:
C (3) →26−3=23→ W
U (21) →26−21=5→ E
T (20) →26−20=6→ F
T (20) →26−20=6→ F
E (5) →26−5=21→ U
R (18) →26−18=8→ H
So, 'CUTTER' is coded as WEFFUH.