Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 18)
                   
                                       
                                18.
Which one of the following numbers is exactly divisible by 11?
 
                                    Answer: Option
                                                    Explanation:
                                                (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.
(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.
(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.
(4 + 6 + 1) - (2 + 5 + 4) = 0, So, 415624 is divisible by 11.
Discussion:
46 comments Page 3 of 5.
                
                        Subbu said: 
                         
                        8 years ago
                
                2+3+5+6+4+1=21 not divisible by 11.
Calculate all given options as the same.
23 not ÷ 11.
21 not ÷ 11.
22 it is divisible by 11 so answer is D.
                Calculate all given options as the same.
23 not ÷ 11.
21 not ÷ 11.
22 it is divisible by 11 so answer is D.
                        Santosh said: 
                         
                        8 years ago
                
                Nice solution, Thanks @Sindhu.
                
                        REKHA said: 
                         
                        7 years ago
                
                No, @Abhi.
Because 2+0+9 = 11.
Which is divisible by 11.
                Because 2+0+9 = 11.
Which is divisible by 11.
                        JEBA RAHAT said: 
                         
                        1 week ago
                
                Example:
415624
Position (from right) Digit Position Type
1 4 Odd
2 2 Even
3 6 Odd
4 5 Even
5 1 Odd
6 4 Even
Odd positions: 4, 6, 1
Even positions: 2, 5, 4
sum(odd positions) − sum(even positions)
If that difference is 0 or divisible by 11, the number is divisible by 11.
                415624
Position (from right) Digit Position Type
1 4 Odd
2 2 Even
3 6 Odd
4 5 Even
5 1 Odd
6 4 Even
Odd positions: 4, 6, 1
Even positions: 2, 5, 4
sum(odd positions) − sum(even positions)
If that difference is 0 or divisible by 11, the number is divisible by 11.
                        Bishnu said: 
                         
                        1 decade ago
                
                I am not understand this method please help me.
                
                        Swa said: 
                         
                        2 decades ago
                
                Odd places - Even places = Ans.
                
                        Ashutosh said: 
                         
                        2 decades ago
                
                Tell me the method to choose the sets of numbers?
                
                        Pradyumna said: 
                         
                        2 decades ago
                
                How the sets of numbers are chosen?
                
                        Ali said: 
                         
                        2 decades ago
                
                Is this method applicable for all dividing numbers?
                
                        Priyanka P. said: 
                         
                        1 decade ago
                
                @ Ali
No its just for 11..
The difference b/w odd and even numbers total should be 0, 11 or multiple of 11 i.e. 22, 484 etc.
                No its just for 11..
The difference b/w odd and even numbers total should be 0, 11 or multiple of 11 i.e. 22, 484 etc.
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