Question

If DIRECT corresponds to FKTGEV, then ORDER corresponds to:

• A. QTFGU
• B. QFTGT
• C. QTFGT
• D. QTFTG

Hint:

To solve coding problems quickly, just look at the first and last letters. \(O \xrightarrow{+2} Q\) and \(R \xrightarrow{+2} T\). This eliminates Options (A), (B), and (D) instantly without requiring you to decode the middle elements!

Answer 1

The Correct Option is C

Concept: In alphabet coding-decoding problems, letters are shifted forward or backward according to a uniform mathematical pattern. To crack the cipher system, we align characters to their exact numerical positions within standard standard English alphabetical sequence order (\(A=1, B=2, \dots, Z=26\)).

Step 1: Mapping out alphabetical positional indices for the first pair.
Let's write down the position values for each character in the source word DIRECT along with its coded equivalent word FKTGEV:
• \(D \rightarrow 4 \quad \text{and} \quad F \rightarrow 6\)
• \(I \rightarrow 9 \quad \text{and} \quad K \rightarrow 11\)
• \(R \rightarrow 18 \quad \text{and} \quad T \rightarrow 20\)
• \(E \rightarrow 5 \quad \text{and} \quad G \rightarrow 7\)
• \(C \rightarrow 3 \quad \text{and} \quad T \rightarrow 5\) (Note: The letter in code is G, where \(G \rightarrow 7\))
• Let us re-examine closely: D (4) &\xrightarrow{+2} F (6)
I (9) &\xrightarrow{+2} K (11)
R (18) &\xrightarrow{+2} T (20)
E (5) &\xrightarrow{+2} G (7)
C (3) &\xrightarrow{+2} E (5)
T (20) &\xrightarrow{+2} V (22) The underlying mathematical cipher pattern is uniformly shifting each letter ahead by adding exactly +2 positions.

Step 2: Applying the identified pattern to the target word ORDER.
Let's write out the base letter ranks for the target word ORDER and add 2 to each rank value:
• First Letter: \(O\) is position \(15\). Adding \(2 \Rightarrow 15 + 2 = 17\). The letter at position 17 is Q.
• Second Letter: \(R\) is position \(18\). Adding \(2 \Rightarrow 18 + 2 = 20\). The letter at position 20 is T.
• Third Letter: \(D\) is position \(4\). Adding \(2 \Rightarrow 4 + 2 = 6\). The letter at position 6 is F.
• Fourth Letter: \(E\) is position \(5\). Adding \(2 \Rightarrow 5 + 2 = 7\). The letter at position 7 is G.
• Fifth Letter: \(R\) is position \(18\). Adding \(2 \Rightarrow 18 + 2 = 20\). The letter at position 20 is T.

Step 3: Assembling the final code output string.
Putting all the calculated characters together in order: \[ Q - T - F - G - T \quad \Rightarrow \quad QTFGT \] This precisely matches Option (C).