In a certain code language, 'ASK' is written as '100', and 'BAG' is written as '142'. How will 'DIE' be written in that language?
- A134
- B144
- C118
- D126
Solution & Step-by-step Explanation
Let's find the logic by looking at the positional values of the letters in the English alphabet:
For 'ASK':
A = 1, S = 19, K = 11
Sum of positions = 1+19+11=31
Opposite positional values: A → 26, S → 8, K → 16
Sum of opposite positions = 26+8+16=50
Notice that 50×2=100.
Let's check this logic with 'BAG':
Opposite positional values: B → 25, A → 26, G → 20
Sum of opposite positions = 25+26+20=71
Multiply by 2: 71×2=142.
The logic is verified: (Sum of opposite positional values) × 2.
Now apply this logic to 'DIE':
Opposite letters: D → W (23), I → R (18), E → V (22)
Sum of opposite positions = 23+18+22=63
Multiply by 2: 63×2=126.
For 'ASK':
A = 1, S = 19, K = 11
Sum of positions = 1+19+11=31
Opposite positional values: A → 26, S → 8, K → 16
Sum of opposite positions = 26+8+16=50
Notice that 50×2=100.
Let's check this logic with 'BAG':
Opposite positional values: B → 25, A → 26, G → 20
Sum of opposite positions = 25+26+20=71
Multiply by 2: 71×2=142.
The logic is verified: (Sum of opposite positional values) × 2.
Now apply this logic to 'DIE':
Opposite letters: D → W (23), I → R (18), E → V (22)
Sum of opposite positions = 23+18+22=63
Multiply by 2: 63×2=126.