लेखक
ॐ जितेन्द्र सिंह तोमर
M.A., B.Ed., DNYS, MASSCOM
10/7/28/11/2021
05.06 वैदिक गणित (06) || भाग || 11 की विभाज्यता के नियम
Division:
DIVISIBILITY BY 11
By Viloknam Method
Look at the following Series 11, 22, 33, 44, 121, 94568, .....
A B C D E F G H I
O E O E O E O E O
Odd – Even = 0 or 11 or Multiple of 11
A + C + E + G + I – B + D + F + H
Add all the digits in the ODD position and all digits in the EVEN position and subtract the smaller result from the larger result. If we get 0 or 11 or any multiples of 11, then the number is divisible by 11
Add all the digits in the ODD position and all digits in the EVEN position and subtract the smaller result from the larger result. If we get 0 or 11 or any multiples of 11 , then the number is divisible by 11.
Exercise 01
Find which of the following are divisible for not by 11.
01) 12645
02) 54867
03) 35212
04) 60683
05) 840256
06) 770878
07) 100497
08) 7552567
09) 2120102
10) 1248273
11) 13500056
12) 31085675
13) 14224086
14) 413541657
15) 265435263
16) 614650058
17) 5872625667
18) 85912672546
19) 12852456645
20) 21570364865
21) 751283251265
22) 123456080843
23) 123456728884
24) 1234567548006
25) 1234567890648
Sol. 01)
12645
Sum of odd digits : 1+6+5 = 12
Sum of Even digits : 2+4 = 6
12 – 6 = 6. The number 12645 is not divisible by 11
Sol. 08)
7552567
Sum of odd digits : 7+5+5+7 = 24
Sum of Even digits : 5+2+6 = 13
24 – 13 = 11. The number 7552567 is divisible by 11
Sol. 21)
751283251265
Sum of odd digits : 7+5+5+7 = 24
Sum of Even digits : 5+2+6 = 13
24 – 13 = 11. The number 7552567 is divisible by 11
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