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 1 of 5.
JEBA RAHAT said:
6 days 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.
Devesh Kinkar said:
8 months ago
Separate the digits into odd and even positions (from right to left).
Sum the digits at odd positions and sum the digits at even positions.
Find the difference between these two sums.
If the difference is 0 or divisible by 11, then the number is divisible by 11.
Sum the digits at odd positions and sum the digits at even positions.
Find the difference between these two sums.
If the difference is 0 or divisible by 11, then the number is divisible by 11.
(5)
Rubeena said:
4 years ago
Odd position - even position.
If it is a case then 2nd option violates it.
Can anyone explain it clearly?
If it is a case then 2nd option violates it.
Can anyone explain it clearly?
(9)
Pardhu said:
5 years ago
Except (4+1+6+5+2+4=22),
Remaining numbers are not divisible by 11.
Remaining numbers are not divisible by 11.
(23)
Muski said:
5 years ago
Thanks @Pooja.
(4)
Swar said:
7 years ago
To check whether a number is div by 11, it should satisfy the below condition.
(sum of numbers in odd place) - (sum of numbers in even place) should be = 0 or 11 or divisible of 11.
(sum of numbers in odd place) - (sum of numbers in even place) should be = 0 or 11 or divisible of 11.
(8)
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.
Akash said:
7 years ago
According to the divisible rool (sum odd places-sum of even places).
(3)
Sasi said:
7 years ago
Is the method possible for all numbers? Please tell me.
(1)
Santosh said:
8 years ago
Nice solution, Thanks @Sindhu.
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