Question

If DIP is coded as 172203, then what is the code for "TAKE"?

• A. 07152418
• B. 07142418
• C. 33142418
• D. 07142518

Hint:

When a code shows two digits per letter and “D \(\to\) 17”, try ROT13: add 13 to the alphabet position and write it as a two-digit number (wrap around after 26).

Answer 1

The Correct Option is B

From “DIP \(\to\) 172203”: split into pairs \((17)(22)(03)\). Map letters to positions \(A=1,\dots,Z=26\).
\(D(4)\to17\), \(I(9)\to22\), \(P(16)\to03\). Notice \(4+13=17\), \(9+13=22\), \(16+13=29\equiv 3\pmod{26}\Rightarrow 03\).
Rule: For each letter, add \(13\) to its alphabet rank (ROT13). If it exceeds \(26\), subtract \(26\). Write the result as a two-digit number (leading zero if needed).
Now encode “TAKE”:
\(T(20)\to 20+13=33\equiv 7\Rightarrow 07\).
\(A(1)\to 1+13=14\Rightarrow 14\).
\(K(11)\to 11+13=24\Rightarrow 24\).
\(E(5)\to 5+13=18\Rightarrow 18\).
Concatenate: \(07\,14\,24\,18\).
\(\boxed{07142418}\)