In a certain code language 'WHEAT' is written as 'AMIFX' and 'BLACK' is written as 'FQEHO'. How will 'GREASE' be written in the same code language?
- AKWIGWI
- BKWIFWJ
- CKWIFVJ
- DKWIFWI
Solution & Step-by-step Explanation
Let's find the logical pattern between the words and their codes.
Word: WHEAT
Code: AMIFX
Let's look at the positional changes (reversing the letter sequence or cross pattern shifts):
W
+4
A (since 23+4=27≡1=A)
H
+5
M (8+5=13=M)
E
+4
I (5+4=9=I)
A
+5
F (1+5=6=F)
T
+4
X (20+4=24=X)
So, the pattern is an alternating addition of +4,+5,+4,+5,+4 to the respective letter positions.
Let's verify with BLACK:
B
+4
F (2+4=6)
L
+5
Q (12+5=17)
A
+4
E (1+4=5)
C
+5
H (3+5=8)
K
+4
O (11+4=15)
This matches FQEHO.
Now, applying this pattern to GREASE:
G+4=7+4=11→K
R+5=18+5=23→W
E+4=5+4=9→I
A+5=1+5=6→F
S+4=19+4=23→W
E+5=5+5=10→J
Hence, the code for GREASE is KWIFWJ.
Word: WHEAT
Code: AMIFX
Let's look at the positional changes (reversing the letter sequence or cross pattern shifts):
W
+4
A (since 23+4=27≡1=A)
H
+5
M (8+5=13=M)
E
+4
I (5+4=9=I)
A
+5
F (1+5=6=F)
T
+4
X (20+4=24=X)
So, the pattern is an alternating addition of +4,+5,+4,+5,+4 to the respective letter positions.
Let's verify with BLACK:
B
+4
F (2+4=6)
L
+5
Q (12+5=17)
A
+4
E (1+4=5)
C
+5
H (3+5=8)
K
+4
O (11+4=15)
This matches FQEHO.
Now, applying this pattern to GREASE:
G+4=7+4=11→K
R+5=18+5=23→W
E+4=5+4=9→I
A+5=1+5=6→F
S+4=19+4=23→W
E+5=5+5=10→J
Hence, the code for GREASE is KWIFWJ.