In a code language, 'PLUCK' is coded as '72' and 'GRAZE' is coded as '78'. How will 'CHARTS' be coded in that language?
- A73
- B93
- C95
- D85
Solution & Step-by-step Explanation
Let's find the sum of the positional alphabet values of the letters:
PLUCK:
P=16,L=12,U=21,C=3,K=11
Sum=16+12+21+3+11=63
63+9=72
GRAZE:
G=7,R=18,A=1,Z=26,E=5
Sum=7+18+1=26+5=57
But wait, 57+21=78. Let's look at a different logic: reverse position values.
Let's try the sum of reverse positional values (where A=26,B=25,…,Z=1):
PLUCK:
P=11,L=15,U=6,C=24,K=16
Sum=11+15+6+24+16=72
GRAZE:
G=20,R=9,A=26,Z=1,E=22
Sum=20+9+26+1+22=78
This perfectly holds true! Now applying the reverse positional value sum to CHARTS:
C→24
H→19
A→26
R→9
T→7
S→8
Total Sum=24+19+26+9+7+8=93
PLUCK:
P=16,L=12,U=21,C=3,K=11
Sum=16+12+21+3+11=63
63+9=72
GRAZE:
G=7,R=18,A=1,Z=26,E=5
Sum=7+18+1=26+5=57
But wait, 57+21=78. Let's look at a different logic: reverse position values.
Let's try the sum of reverse positional values (where A=26,B=25,…,Z=1):
PLUCK:
P=11,L=15,U=6,C=24,K=16
Sum=11+15+6+24+16=72
GRAZE:
G=20,R=9,A=26,Z=1,E=22
Sum=20+9+26+1+22=78
This perfectly holds true! Now applying the reverse positional value sum to CHARTS:
C→24
H→19
A→26
R→9
T→7
S→8
Total Sum=24+19+26+9+7+8=93