From the given numbers A, B, C and D, which number is NOT divisible by 11?

A = 712712
B = 177210
C = 64614
D = 756148

Question

From the given numbers A, B, C and D, which number is NOT divisible by 11?

A = 712712  
B = 177210  
C = 64614  
D = 756148

Accepted Answer

To check divisibility by 11, subtract the sum of digits in odd positions from the sum of digits in even positions. If the result is 0 or divisible by 11, the number is divisible by 11.

Let's check each number:

A = 712712  
Digits: 7 1 2 7 1 2  
Odd positions sum = 7 + 2 + 1 = 10  
Even positions sum = 1 + 7 + 2 = 10  
Difference = 10 - 10 = 0 → divisible by 11

B = 177210  
Digits: 1 7 7 2 1 0  
Odd positions sum = 1 + 7 + 1 = 9  
Even positions sum = 7 + 2 + 0 = 9  
Difference = 9 - 9 = 0 → divisible by 11

C = 64614  
Digits: 6 4 6 1 4  
Odd positions sum = 6 + 6 + 4 = 16  
Even positions sum = 4 + 1 = 5  
Difference = 16 - 5 = 11 → divisible by 11

D = 756148  
Digits: 7 5 6 1 4 8  
Odd positions sum = 7 + 6 + 4 = 17  
Even positions sum = 5 + 1 + 8 = 14  
Difference = 17 - 14 = 3 → not divisible by 11

Therefore, number D is NOT divisible by 11.

Answer

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