-  If in the word, a letter is the nth letter from the beginning of English alphabets, then in the code the corresponding letter is the nth letter from the end.

The given question is based on coding and decoding. The given code TABLE is coded as GZYOV. To find the code for JUICE, we need to decode the given word TABLE to identify the pattern or rule followed in the coding process.

Here, the code for each letter in TABLE is obtained by subtracting its position from the total number of letters in the word (5 in this case) and then adding 20 to the result. For example, the letter T is the 20th letter in the alphabet, so its code is obtained as follows:

Code for T = (5 - 20) + 20 = 5

Similarly, we can decode the rest of the letters in TABLE to obtain the following codes:

A = 15

B = 14

L = 11

E = 10

Using this pattern, we can find the code for JUICE as follows:

Code for J = (5 - 10) + 20 = 15

Code for U = (5 - 21) + 20 = 4

Code for I = (5 - 9) + 20 = 16

Code for C = (5 - 3) + 20 = 22

Code for E = (5 - 10) + 20 = 15

Hence, the code for JUICE is QFRXV, which is option B.

Therefore, the correct answer is option B QFRXV.

To summarize, the solution to the given question involves the following steps:

• Decode the given word TABLE to identify the coding pattern.
• Use the identified pattern to find the code for each letter in JUICE.
• Combine the codes for all the letters in JUICE to obtain the final code.
• Verify the obtained code with the given options to identify the correct answer.

Some important terms and formulas used in coding and decoding are:

• Coding: It refers to the process of converting a message into a code or cipher to make it unreadable to unauthorized recipients.
• Decoding: It refers to the process of converting a coded message back into its original form.
• Cipher: It is a system of encoding and decoding a message using a set of rules or algorithms.
• Position of a letter in the alphabet: It refers to the numerical position of a letter in the English alphabet, starting from A=1, B=2, and so on.
• Formula for coding a letter: Code for a letter = (Total number of letters in the word - Position of the letter) + 20

If you think the solution is wrong then please provide your own solution below in the comments section .

 -  The first and last letter remain unchanged, while the second and second last, third and third last letter and so on are interchanged, to obtain the code.

The given code for "PEOPLE" is "PLPOEE". We can observe that the code for each letter is made up of a pair of letters:

• The first letter of each pair is the original letter in the word.
• The second letter of each pair is the next letter in the word.

Using this logic, we can determine the code for "TREND" as follows:

• The first letter is "T", so the first letter of the code is "T".
• The next letter after "T" in the word "TREND" is "N", so the second letter of the code is "N".
• The next letter after "N" in the word "TREND" is "E", so the third and fourth letters of the code are "E".
• The next letter after "E" in the word "TREND" is "R", so the fifth letter of the code is "R".
• The next letter after "R" in the word "TREND" is "D", so the sixth letter of the code is "D".

Therefore, the code for "TREND" is "TNERD", which is option E.

In summary, we can use the following formula to determine the code for a given word:

• For each letter in the word, take the original letter followed by the next letter in the word.
• Combine all pairs of letters to form the code for the word.