In a certain code language, 'HAPPY' is written as '12' and 'SORROW' is written as '9'. How will 'DELIGHT' be written in that language?
- A12
- B13
- C10
- D11
Solution & Step-by-step Explanation
Let's analyze the relationship between the word length (number of letters) or letter sums and the code:
Word 'HAPPY' has 5 letters. Let's look at sum of vowels/consonants or letters:
Let's count the number of consonants and vowels:
HAPPY: Consonants = H, P, P, Y (4); Vowels = A (1).
Let's sum the alphabetical positions of letters: 8+1+16+16+25=66. Digital sum of 66=6+6=12.
Let's check if this digital sum logic works for 'SORROW':
S = 19, O = 15, R = 18, R = 18, O = 15, W = 23
Sum = 19+15+18+18+15+23=108.
Digital sum of 108=1+0+8=9.
This rule holds true!
Now let's apply the same logic to DELIGHT:
D = 4
E = 5
L = 12
I = 9
G = 7
H = 8
T = 20
Sum = 4+5+12+9+7+8+20=65.
Digital sum of 65=6+5=11.
Therefore, 'DELIGHT' is written as 11.
Word 'HAPPY' has 5 letters. Let's look at sum of vowels/consonants or letters:
Let's count the number of consonants and vowels:
HAPPY: Consonants = H, P, P, Y (4); Vowels = A (1).
Let's sum the alphabetical positions of letters: 8+1+16+16+25=66. Digital sum of 66=6+6=12.
Let's check if this digital sum logic works for 'SORROW':
S = 19, O = 15, R = 18, R = 18, O = 15, W = 23
Sum = 19+15+18+18+15+23=108.
Digital sum of 108=1+0+8=9.
This rule holds true!
Now let's apply the same logic to DELIGHT:
D = 4
E = 5
L = 12
I = 9
G = 7
H = 8
T = 20
Sum = 4+5+12+9+7+8+20=65.
Digital sum of 65=6+5=11.
Therefore, 'DELIGHT' is written as 11.