Gujarat BoardEnglish MediumSTD 8MATHSPlaying with Numbers1 Mark
Question
A four-digit number abcd is divisible by $11,$ if $d + b =$ ________ or _______.
✓
Answer
A four-digit number abcd is divisible by $11,$ if $d + b = a + c$ or $12(a + b).$ Solution:
We know that, a number is divisible by $11,$ if the difference between the sum of digits at odd places and the sum of its digits at even places is either $0$ or a multiple of $11.$ Hence, abcd is divisible by $11,$ if $(d + b) − (a + c) = 0, 11, 22, 33, = d + b = a + c$ or $d + b = 12(a + c)$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.