If values of P=3, R=27, T=243, then find the value of Q+S = ________ .

2020

If values of P=3, R=27, T=243, then find the value of Q+S = ________ .

  1. A.

    40

  2. B.

    80

  3. C.

    90

  4. D.

    180

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Correct answer: C

Key insight: each letter's value is a power of 3 where the exponent equals the letter's alphabet position minus 15.

  • Verify the pattern using the given values: P is the 16th letter, so value = 3^(16−15) = 3^1 = 3; R is the 18th letter, so value = 3^(18−15) = 3^3 = 27; T is the 20th letter, so value = 3^(20−15) = 3^5 = 243.

  • Compute Q and S using the same rule: Q is the 17th letter → Q = 3^(17−15) = 3^2 = 9; S is the 19th letter → S = 3^(19−15) = 3^4 = 81.

  • Add the values: Q + S = 9 + 81 = 90.

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