Gujarat BoardEnglish MediumSTD 6MATHSPlaying With Numbers1 Mark
Question
Using divisibility test, determine if $10000001$ is divisible by $11.$
✓
Answer
Sum of the digits (at odd places) from the right $= 1 + 0 + 0 + 0 = 1$
Sum of the digits (at even places) from the right $= 0 + 0 + 0 + 1 = 1$
Difference of these sums $= 1 – 1 = 0$
$\because 0$ is divisible by $11.$
$\therefore 10000001$ is divisible by $11$ because a no. is divisible by $11$ if difference of the sum of the digits at the odd places and even places from the right is $0$ or divisible by $11.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.