Question

In a coding system, ANSWER is coded as DQVZHU. Then QUESTION will be coded as

• A. TXHVWLQR
• B. TXHVWLRQ
• C. TXHVLWRQ
• D. TXHVXLRQ

Hint:

Always write down the alphabetical positional values of critical letters or use the "EJOTY" formula (\( 5, 10, 15, 20, 25 \)) to quickly calculate shifts.
Checking the first two and the last letters of the options can often help eliminate wrong choices quickly without working out the entire word.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
We need to observe the correspondence between each letter of the original word and the coded word.
By looking at the positional values of the English alphabet from A to Z, we can establish the shift value.


Step 2: Key Formula or Approach:
Let each letter of the alphabet be mapped to its numerical rank, where \( A = 1, B = 2, C = 3, \dots, Z = 26 \).
The key approach is to find the mathematical difference between the position of each letter in the input word and its corresponding letter in the coded word.
The transformation can be written as:
\[ \text{Coded Letter} = \text{Original Letter} + n \]
where \( n \) is the constant shift.


Step 3: Detailed Explanation:

• Let us analyze the coding of "ANSWER" to "DQVZHU" letter by letter.

• The letter A is the \( 1^{\text{st}} \) letter, and D is the \( 4^{\text{th}} \) letter. The shift is \( 1 + 3 = 4 \).

• The letter N is the \( 14^{\text{th}} \) letter, and Q is the \( 17^{\text{th}} \) letter. The shift is \( 14 + 3 = 17 \).

• The letter S is the \( 19^{\text{th}} \) letter, and V is the \( 22^{\text{nd}} \) letter. The shift is \( 19 + 3 = 22 \).

• The letter W is the \( 23^{\text{rd}} \) letter, and Z is the \( 26^{\text{th}} \) letter. The shift is \( 23 + 3 = 26 \).

• The letter E is the \( 5^{\text{th}} \) letter, and H is the \( 8^{\text{th}} \) letter. The shift is \( 5 + 3 = 8 \).

• The letter R is the \( 18^{\text{th}} \) letter, and U is the \( 21^{\text{st}} \) letter. The shift is \( 18 + 3 = 21 \).

• Thus, each letter is shifted forward by exactly \( 3 \) positions.

• Now, we apply this identical \( +3 \) shifting rule to the word "QUESTION".

• Q (\( 17 \)) \( + 3 = 20 \), which corresponds to T.

• U (\( 21 \)) \( + 3 = 24 \), which corresponds to X.

• E (\( 5 \)) \( + 3 = 8 \), which corresponds to H.

• S (\( 19 \)) \( + 3 = 22 \), which corresponds to V.

• T (\( 20 \)) \( + 3 = 23 \), which corresponds to W.

• I (\( 9 \)) \( + 3 = 12 \), which corresponds to L.

• O (\( 15 \)) \( + 3 = 18 \), which corresponds to R.

• N (\( 14 \)) \( + 3 = 17 \), which corresponds to Q.

• Combining all the resulting letters in sequence gives "TXHVWLRQ".


Step 4: Final Answer:
The word "QUESTION" is coded as "TXHVWLRQ", which corresponds to Option (B).