JAMB Mathematics 2015 Paper

Concept:To change a decimal number into base $6$, convert the integer part and the fractional part separately.Explanation:First, convert $159_{10}$ to base $6$.$159 \div 6 = 26$ remainder $3$$26 \div 6 = 4$ remainder $2$$4 \div 6 = 0$ remainder $4$Read the remainders from bottom to top.So $159_{10} = 423_{6}$.Next, convert $0.75_{10}$ to base $6$.$0.75 \times 6 = 4.5$, so the first fractional digit is $4$, and $0.5$ remains.$0.5 \times 6 = 3.0$, so the second fractional digit is $3$.Thus $0.75_{10} = 0.43_{6}$.Combine the integer and fractional parts.$159.75_{10} = 423.43_{6}$.Answer:$x = 423.43_{6}$.This correct value is not listed among the given options.