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  1. GATE CS
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  3. General Aptitude

If P = 3, R = 27, T = 243, then Q = S = ______ A. 80 B. 80 C. 90 D. 110

GATE 2020 · General Aptitude · Sequence Series · medium

Answer: Q + S = 9 + 81 = 90

  1. Identify the pattern in given terms: The odd-position terms P, R, T correspond to 3^1, 3^3, 3^5 respectively. The exponents are consecutive odd numbers.
  2. Determine even-position terms Q and S: Even positions use even powers of 3: Q = 3^2 = 9 and S = 3^4 = 81. The full sequence is 3, 9, 27, 81, 243 - a geometric sequence with common ratio 3.
  3. Compute Q + S: The question asks for Q = S = ___ which represents Q + S = 9 + 81 = 90.