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 5 of 5.

Ali said:   2 decades ago
Is this method applicable for all dividing numbers?

POOJA said:   2 decades ago
To check whether a number is divisible by 11, sum the digits in the odd positions counting from the left (the first, third, ....) and then sum the remaining digits. If the difference between the two sums is divisible by 11, then so is the original number. Otherwise it is not.

Why does this work?

I have tried to work it out. My solutions are:

1) if the answer for the subtraction is 0, it is divisible.
2) if the answer for the subtraction is not 0, it is not divisible.
(1)

Pradyumna said:   2 decades ago
How the sets of numbers are chosen?

Ashutosh said:   2 decades ago
Tell me the method to choose the sets of numbers?

Swa said:   2 decades ago
Odd places - Even places = Ans.

Sruthi said:   2 decades ago
Can you please tell me how the sets of numbers are chosen?


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