DIVISIBILITY BY ELEVEN :Rule: If the sums of digits at odd and even places are equal or differ 14 a number divisible by 11, then the number is also divisible by 11.
Ex.1. 3245682 : S1 = 3+4+6+2= 15 and 57 = 2+5+8= 15 As Si = S2, the number is divisible by 11.
Ex.2. 283712 :S1 = 2+3+1= 6 and S2 = 8+7+2 17. As S1 and S2 differ by 11 (divisible by 11), the number is also divisible by 11.
.Ex.3. 84927291658 : S1 = 8+9+7+9+6+8=47 and S2 = 4+2+2+1+5= 14 As (S1 - S2 =) 33 is divisible by 11, the number is also divisible by 11.
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