Question

In a certain code QUICK is coded as OSGAI and CROWD is coded as APMUB. What is the code for the word CRIME?

• A. APGKC
• B. BQHLD
• C. CRIME
• D. DSJNF

Hint:

In letter-shifting codes, first compare corresponding letters of the original word and coded word. Constant forward or backward shifts are among the most common coding patterns.

Answer 1

The Correct Option is A

Concept: Observe the transformation from the given coded words. \[ QUICK \rightarrow OSGAI \] \[ CROWD \rightarrow APMUB \] Each letter is shifted backward by two positions in the alphabet.

Step 1: Verify the pattern using QUICK. \[ Q \rightarrow O \] \[ U \rightarrow S \] \[ I \rightarrow G \] \[ C \rightarrow A \] \[ K \rightarrow I \] Each letter decreases by 2 positions.

Step 2: Verify using CROWD. \[ C \rightarrow A \] \[ R \rightarrow P \] \[ O \rightarrow M \] \[ W \rightarrow U \] \[ D \rightarrow B \] Again every letter is shifted backward by 2 positions.

Step 3: Apply the same rule to CRIME. \[ C \rightarrow A \] \[ R \rightarrow P \] \[ I \rightarrow G \] \[ M \rightarrow K \] \[ E \rightarrow C \] Thus the coded form becomes \[ APGKC \]

Step 4: State the answer. Hence the code for CRIME is \[ \boxed{APGKC} \]