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If 54\(_{ten}\) = X\(_{four}\), find the value of X to 3 decimal point

Mathematics
JAMB 2025

If 54\(_{ten}\) = X\(_{four}\), find the value of X to 3 decimal point

  • A. 132\(_{four}\)
  • B. 312\(_{four}\)
  • C. 123\(_{four}\)
  • D. 321\(_{four}\)
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Correct Answer: Option B
Explanation

To convert \(54_{10}\) to base 4:

\(54 \div 4 = 13\) with remainder \(2\).
\(13 \div 4 = 3\) with remainder \(1\).
\(3 \div 4 = 0\) with remainder \(3\).

Collecting the remainders from bottom to top, we have:

\(54_{10} = 312_4\)

Thus, \(X = 312.000\).

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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