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GATE CSE 2020 Q7: Letter values: P = 3, R = 27, T = 243, find Q + S

Question

If P = 3, R = 27, T = 243, then Q + S = _______.

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Answer: C (official GATE 2020 final answer key)

Concept used: Spot the geometric pattern across consecutive letters.

First step: P, R, T are 31,33,353^1, 3^3, 3^5, so consecutive letters multiply by 3: Q = 323^2 and S = 343^4.

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Source: official GATE 2020 CS question paper and final answer key, organised by IIT Delhi. Question paper · Answer key