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Given, that \(4P4_5 = 119_{10}\), find the value of P

Mathematics
WAEC 2003

Given, that \(4P4_5 = 119_{10}\), find the value of P

  • A. 1
  • B. 2
  • C. 3
  • D. 4
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Correct Answer: Option C
Explanation

\(4P4_5 = 119_{10}\)

\(4 \times 5^2 + P \times 5^1 + 4 \times 5^0 = 119\)

\(100 + 5P + 4 = 119\)

\(5P = 119 - 104 = 15\)

\(P = 3\)


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