In a certain code language, 'CHILD' is written as '6169248' and 'GUEST' is written as '142153840'. How will 'BOOK' be written in that language?
- A23011
- B4151522
- C2303011
- D41522
Solution & Step-by-step Explanation
Let's examine the coding pattern using the alphabetical positions (A = 1, B = 2, ..., Z = 26) and their reverse positional values (A = 26, B = 25, ..., Z = 1):
For 'CHILD':
Consonants are multiplied by 2:
C = 3 →3×2=6
H = 8 →8×2=16
L = 12 →12×2=24
D = 4 →4×2=8
Vowels take their standard position value:
I = 9
Combining them: 6, 16, 9, 24, 8 → '6169248'.
For 'GUEST':
G = 7 (Consonant) →7×2=14
U = 21 (Vowel) →21
E = 5 (Vowel) →5
S = 19 (Consonant) →19×2=38
T = 20 (Consonant) →20×2=40
Combining them: 14, 21, 5, 38, 40 → '142153840'.
Following the same logic for 'BOOK':
B = 2 (Consonant) →2×2=4
O = 15 (Vowel) →15
O = 15 (Vowel) →15
K = 11 (Consonant) →11×2=22
Combining the values gives: 4, 15, 15, 22 → '4151522'.
For 'CHILD':
Consonants are multiplied by 2:
C = 3 →3×2=6
H = 8 →8×2=16
L = 12 →12×2=24
D = 4 →4×2=8
Vowels take their standard position value:
I = 9
Combining them: 6, 16, 9, 24, 8 → '6169248'.
For 'GUEST':
G = 7 (Consonant) →7×2=14
U = 21 (Vowel) →21
E = 5 (Vowel) →5
S = 19 (Consonant) →19×2=38
T = 20 (Consonant) →20×2=40
Combining them: 14, 21, 5, 38, 40 → '142153840'.
Following the same logic for 'BOOK':
B = 2 (Consonant) →2×2=4
O = 15 (Vowel) →15
O = 15 (Vowel) →15
K = 11 (Consonant) →11×2=22
Combining the values gives: 4, 15, 15, 22 → '4151522'.