In a certain code language, SAD is coded as 48 and DOG is coded as 52. What is the code for HIT in that language?
- A73
- B74
- C47
- D37
Solution & Step-by-step Explanation
Let's first look at the positional values of letters in the standard alphabetical order (A=1,B=2,…,Z=26).
For SAD:
S=19, A=1, D=4
Sum of positional values = 19+1+4=24
Given code is 48, which is 24×2=48.
For DOG:
D=4, O=15, G=7
Sum of positional values = 4+15+7=26
Given code is 52, which is 26×2=52.
The pattern is: Code=(Sum of positional values)×2.
Applying this pattern to HIT:
H=8, I=9, T=20
Sum of positional values = 8+9+20=37
Code=37×2=74.
Thus, HIT is coded as 74.
For SAD:
S=19, A=1, D=4
Sum of positional values = 19+1+4=24
Given code is 48, which is 24×2=48.
For DOG:
D=4, O=15, G=7
Sum of positional values = 4+15+7=26
Given code is 52, which is 26×2=52.
The pattern is: Code=(Sum of positional values)×2.
Applying this pattern to HIT:
H=8, I=9, T=20
Sum of positional values = 8+9+20=37
Code=37×2=74.
Thus, HIT is coded as 74.