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:
47 comments Page 2 of 5.
Debashish Mohapatra said:
1 decade ago
There is another method as well. In the option A, B, C. If you will add all the digits of the given number the result will not be divisible by 11. But if you will add the digits of the number given in option D.
i.e - 415624=4+1+5+6+2+4=22 which is divisible with 11.
This formula is also applicable for any number.
i.e - 415624=4+1+5+6+2+4=22 which is divisible with 11.
This formula is also applicable for any number.
(1)
Reena said:
1 decade ago
2+3+5+6+4+1 = 21/11.
2+4+5+6+4+2 = 25/11.
3+1+5+6+2+4 = 21/11.
4+1+5+6+2+4 = 22/11 = 2 it is divisible by 11.
2+4+5+6+4+2 = 25/11.
3+1+5+6+2+4 = 21/11.
4+1+5+6+2+4 = 22/11 = 2 it is divisible by 11.
Suresh Venkat said:
1 decade ago
@Amit.
Method which you tried is entirely different.
It is not suitable for all no's. but for finding the / by 3 is correct. if (even position no sum)-(odd position no sum) = 0 or 11 then it will be divisible by 11.
Method which you tried is entirely different.
It is not suitable for all no's. but for finding the / by 3 is correct. if (even position no sum)-(odd position no sum) = 0 or 11 then it will be divisible by 11.
Sachin said:
1 decade ago
Sum of digits = (4 + 1 + 5 + 6 + 2 + 4) = 22, which must be divisible by 11.
So answer is 415624.
So answer is 415624.
Amit Chutani said:
1 decade ago
2+3+5+6+4+1 = 21/11.
2+4+5+6+4+2 = 25/11.
3+1+5+6+2+4 = 21/11.
4+1+5+6+2+4 = 22/11 = 2 it is divisible.
2+4+5+6+4+2 = 25/11.
3+1+5+6+2+4 = 21/11.
4+1+5+6+2+4 = 22/11 = 2 it is divisible.
Nagasri said:
1 decade ago
Alternative numbers sum and take their difference. if the difference is 0 or divisible by 11.
Then that numbers are divisible by 11. that means,
eg:415624.
4+5+2 = 11.
1+6+4 = 11.
then difference = 11-11 = 0.
divisible by 11.
If we take any number. We got answer.
Then that numbers are divisible by 11. that means,
eg:415624.
4+5+2 = 11.
1+6+4 = 11.
then difference = 11-11 = 0.
divisible by 11.
If we take any number. We got answer.
Santosh said:
9 years ago
Nice solution, Thanks @Sindhu.
Bhaskar said:
1 decade ago
If you take 209/11.
Then your logic.
Because 2+10+9=21,
21 is not divisible.
Then your logic.
Because 2+10+9=21,
21 is not divisible.
RAJA BABU said:
1 decade ago
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85
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Jessy said:
9 years ago
Take the number and add all the even positions of the number and odd positions of the number then subtract those two.
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