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 2 of 5.

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.

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.

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.

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.

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.

Bhaskar said:   1 decade ago
If you take 209/11.

Then your logic.

Because 2+10+9=21,

21 is not divisible.

Masood tahir said:   1 decade ago
@abhi.

I think Arjun is right as;

209/11= 19 which is completely devise-able by 11 by leaving no remainder, with short cut method for aptitude as; 2+0+9=11 which is also completely divided by 11.

RAJA BABU said:   1 decade ago
11)415624(37784
33
__
85
77
__
86
77
__
92
88
__
44
44
__
00

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.

Sanjeet said:   9 years ago
What we'll do when we get odd no of digits?


Post your comments here:

Your comments will be displayed after verification.