In a certain code, PAN is written as 31 and PAR is written as 35, then in this code, PAT is written as

Treat each letter as its position in the alphabet: P=16, A=1, N=14, R=18, T=20. Test this on the two sample words. PAN gives 16+1+14=31, and PAR gives 16+1+18=35. Both match, so the code is the sum of the alphabetical positions of the letters.

Apply the same rule to PAT: 16+1+20=37. So the answer is B.

Why the other options fail:

• A) 30 would need T=13, which is M, not T.
• C) 38 would need T=21, which is U.
• D) 39 would need T=22, which is V.

Core concept: letter-value coding. First derive the letter values from the solved examples, then check the rule on both examples before applying it. This disciplined verification is the same habit that helps in analytical questions in Mains GS-IV and in CSAT-style reasoning.

Trap: Aspirants often take T as 19 by miscounting, or they hunt for a letter-by-letter substitution instead of testing the sum rule on both given examples first.