If in a certain code language, AIR is written as 31120, then how will GAS be coded in that language?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 9321
1. Analyze the Code for "AIR"
First, identify the numerical position of each letter in the English alphabet ($A=1, B=2, \dots$):
- A = 1
- I = 9
- R = 18
Now, compare these positions to the code 31120:
- For A (1): $1 + 2 = \mathbf{3}$
- For I (9): $9 + 2 = \mathbf{11}$
- For R (18): $18 + 2 = \mathbf{20}$
When you concatenate these results ($3, 11, 20$), you get 31120.
2. Apply the Logic to "GAS"
Follow the same steps for the word GAS:
- G = 7th letter
- A = 1st letter
- S = 19th letter
Apply the "$+2$" rule to each position:
- For G (7): $7 + 2 = \mathbf{9}$
- For A (1): $1 + 2 = \mathbf{3}$
- For S (19): $19 + 2 = \mathbf{21}$
Concatenating these results ($9, 3, 21$) gives the code 9321.
Conclusion
The code for GAS is 9321.