Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - General Questions (Q.No. 8)
8.
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
3
5
9
11
Answer: Option
Explanation:

Let the ten's digit be x and unit's digit be y.

Then, number = 10x + y.

Number obtained by interchanging the digits = 10y + x.

(10x + y) + (10y + x) = 11(x + y), which is divisible by 11.

Video Explanation: https://youtu.be/lytJE8GqRvM

Discussion:
20 comments Page 2 of 2.

Farukh said:   1 decade ago
I didn't get it.

Can anyone explain ?

Please.

Sajid said:   1 decade ago
10 to 99.
10, 11, 12, 13, 14, 15, 16, 17.......
10+01=11; 12+21=33; 13+31=44; 14+41=55.
Eg: 28+82=110;

Any two numbers from 10 to 99 gets interchange of 10 unit position to one unit position and one unit position to 10 unit position and do sum of the numbers that particular number will be definitely divisible 11.

Ashish singh said:   1 decade ago
Very easy yar.

Take 10,11,......99 any number.
Just interchange position then add it,
Say 23+32 = 55.
24+42 = 66.
10+01 =11.
45+54 = 99.

Hemanth said:   1 decade ago
It is very easy,

Check with answer, in answer two-digit number is 11.

Then interchange it will '11'.

Then add old and new is = 11+11 = 22.

Sum:22, check with choice 22 is divisible by 11.

Sarika said:   1 decade ago
Take any two numbers. For ex take 63+36=99. So 99 is divisible by 11. If we take any two numbers all that numbers are only divisible by 11 only. So answer is 11.

Virendra said:   1 decade ago
Like santosh it is really simple just start by taking
12....21.,
at first attempt option 5 and 9 cancelled out
at second attempt 13....31 we get ans is 11.

Santhosh said:   1 decade ago
It's very simple..
for example take a two digit number : i.e 45
the reverse of the number is 54

So 45+54= 99(which is a divisible of 11)

Suja said:   1 decade ago
Wow karishma yaar you are so talented sahi samzaya answer.

Now I got it.

Krishna said:   1 decade ago
Two digits No. means any of the number from 10 to 99.
let us take 98 as a 2 digit number. In this number 9 tens and one 8 is there. 9 tens means 9x10. that is 90 and one 8 is being added. So that we can get 98.
That is why they have mentioned as ten's digit.

for your understanding we will take a 98743265.

In this number 5 is in the place of one, 6 is 10th, 2 is 100th, 3 is 1000th, 4 is 10,000th,7 is 1,00,000th 8 is 10,00,000th and 9 is 1,00,00,000th.

Nikunjjain said:   1 decade ago
Why did they take ten digits number in the solution of question because in question they have mentioned 2 digits no ?


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