If "ORBIT" is written as "TWGNY" in a code language then how will "GLAXY" be written in the same language?
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For letter coding questions:
Assign Numerical Values: Convert letters to their alphabetical positions (A=1, B=2, etc.).Find the Pattern:Determine the mathematical operation (addition, subtraction, multiplication, division, or a combination) applied to the numerical values of the letters in the first word to get the numerical values of the letters in the coded word.
Step 1: Determine the coding rule by comparing "ORBIT" with "TWGNY".
Assign numerical positions to each letter (A=1, B=2, ..., Z=26):
O (15) $\rightarrow$ T (20)
Difference: $20 - 15 = +5$
R (18) $\rightarrow$ W (23)
Difference: $23 - 18 = +5$
B (2) $\rightarrow$ G (7)
Difference: $7 - 2 = +5$
I (9) $\rightarrow$ N (14)
Difference: $14 - 9 = +5$
T (20) $\rightarrow$ Y (25)
Difference: $25 - 20 = +5$
The pattern observed is that each letter in the word "ORBIT" is shifted forward by 5 positions in the alphabetical order to get the corresponding letter in "TWGNY".
Step 2: Apply the same coding rule to the word "GLAXY".
G (7) $\rightarrow$ $7 + 5 = 12 \implies L$
L (12) $\rightarrow$ $12 + 5 = 17 \implies Q$
A (1) $\rightarrow$ $1 + 5 = 6 \implies F$
X (24) $\rightarrow$ $24 + 5 = 29$. Since there are 26 letters, $29 - 26 = 3 \implies C$
Y (25) $\rightarrow$ $25 + 5 = 30$. Since there are 26 letters, $30 - 26 = 4 \implies D$
Therefore, "GLAXY" will be written as "LQFCD".
Step 3: Compare the result with the given options.
The calculated code "LQFCD" matches option (3).
The final answer is $\boxed{\text{(3)}}$.