In a certain code language, ‘HARDWARE’ is coded as 81945195, and ‘INFLUX’ is coded as 956336. How will ‘LEAGUE’ be coded in that language?
- A872341
- B351735
- C564783
- D217265
Solution & Step-by-step Explanation
Let's find how the numerical code is derived from the letters:
For HARDWARE → 81945195:
Testbook
H = 8 (Position value 8)
A = 1 (Position value 1)
R = 18 → single digit sum 1+8=9
D = 4 (Position value 4)
W = 23 → single digit sum 2+3=5
A = 1 (Position value 1)
R = 18 → single digit sum 1+8=9
E = 5 (Position value 5)
The pattern is using the sum of digits of the alphabetical positions of each letter.
Let's double-check with INFLUX → 956336:
I = 9
N = 14 →1+4=5
F = 6
L = 12 →1+2=3
U = 21 →2+1=3
X = 24 →2+4=6
This matches perfectly!
Now, apply this rule to LEAGUE:
L = 12 →1+2=3
E = 5
A = 1
G = 7
U = 21 →2+1=3
E = 5
The code is 351735.
For HARDWARE → 81945195:
Testbook
H = 8 (Position value 8)
A = 1 (Position value 1)
R = 18 → single digit sum 1+8=9
D = 4 (Position value 4)
W = 23 → single digit sum 2+3=5
A = 1 (Position value 1)
R = 18 → single digit sum 1+8=9
E = 5 (Position value 5)
The pattern is using the sum of digits of the alphabetical positions of each letter.
Let's double-check with INFLUX → 956336:
I = 9
N = 14 →1+4=5
F = 6
L = 12 →1+2=3
U = 21 →2+1=3
X = 24 →2+4=6
This matches perfectly!
Now, apply this rule to LEAGUE:
L = 12 →1+2=3
E = 5
A = 1
G = 7
U = 21 →2+1=3
E = 5
The code is 351735.