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AGENT : 25 :: PAINT : ?

Answer & Solution
Correct answer: D.
1. AGENT: A(1)+G(7)+E(5)+N(14)+T(20) = 47. But 25 ≠ 47. Try positional product / different rule. 2. Letters in AGENT: 5 distinct letters. 5² = 25. ✓ 3. PAINT: 5 distinct letters. 5²? But 36 = 6². Re-check: P, A, I, N, T = 5 distinct. The pattern uses 5² for AGENT, so for 5-letter PAINT we expect 25 — but 25 isn't offered. 4. Alt: take last letter's position. AGENT last = T = 20, 20+5=25. PAINT last = T = 20, 20+? = 36 means +16 = 4². So rule = last letter + (n-1)² where n = #letters. n=5 → 16. ✓ 5. Answer 36. _Source: TSICET 2024 PYQ Q.28 (Shift 1, Series)_
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