Question 10

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Jambmaths question: 

The sum of four number is 12145. What is the average expression in base 5

Option A: 

114

Option B: 

141

Option C: 

401

Option D: 

 411

Jamb Maths Solution: 

$\begin{align}  & \text{Convert }{{1214}_{5}}\text{ to decimal} \\ & \text{121}{{\text{4}}_{5}}=1\times {{5}^{3}}+2\times {{5}^{2}}+1\times {{5}^{1}}+4\times {{5}^{0}} \\ & \text{121}{{\text{4}}_{5}}=125+50+5+4={{184}_{10}} \\ & Average=\frac{184}{4}=46 \\ & 5\overline{\left){\begin{align}  & 46 \\ & 9\to 1 \\ & 1\to 4 \\ & 0\to 1 \\\end{align}}\right.} \\ & \text{The average of the numbers in base 5 is }{{141}_{5}} \\\end{align}$

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