What is the answer when \(24346_6\) is divided by \(426_6\) ?
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option B
Explanation:
\(2434_6=2 \times 6^3=4 \times 6^2+3 \times 6^1+4 \times 6^0\)
\(=2 \times 216+4 \times 36+3 \times 6+4 \times 1=432\)
\(+144+18+4=598\)
\(426=6 \times 6^1+2 \times 6^0=4 \times 6+21 \times 1\)
\(=4 \times 6+2 \times 1=24+2=26\)
\(2434_6 \div 42_6=\frac{598}{26}=23\)
In base six we have \(35_6\)
\(2434_6=2 \times 6^3=4 \times 6^2+3 \times 6^1+4 \times 6^0\)
\(=2 \times 216+4 \times 36+3 \times 6+4 \times 1=432\)
\(+144+18+4=598\)
\(426=6 \times 6^1+2 \times 6^0=4 \times 6+21 \times 1\)
\(=4 \times 6+2 \times 1=24+2=26\)
\(2434_6 \div 42_6=\frac{598}{26}=23\)
In base six we have \(35_6\)