Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 18)
18.
Which one of the following numbers is exactly divisible by 11?
235641
245642
315624
415624
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.

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.

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.

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.


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