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:
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.
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.
12....21.,
at first attempt option 5 and 9 cancelled out
at second attempt 13....31 we get ans is 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.
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.
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)
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)
Yogita said:
9 years ago
@Santhosh.
I'm pretty confused that when we have to take x, y, and when it is only x for the formation of two digit number?
I'm pretty confused that when we have to take x, y, and when it is only x for the formation of two digit number?
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 ?
Santosh h said:
9 years ago
11 = 10x+y = 10(1)+1.
Another ex: 25=10x+y = 10(2)+5.
Also: 255=100x+10y+z = 100(2)+10(5)+5.
Another ex: 25=10x+y = 10(2)+5.
Also: 255=100x+10y+z = 100(2)+10(5)+5.
Raja said:
10 years ago
Simple answer.
10 = x.
y = "1" for example.
10x+y = 11.
11 is a answer. So option is D.
10 = x.
y = "1" for example.
10x+y = 11.
11 is a answer. So option is D.
Vinay said:
10 years ago
When Should we take a 2 digit as 10x+y. And when should we take as x+y? Anybody help?
Suja said:
1 decade ago
Wow karishma yaar you are so talented sahi samzaya answer.
Now I got it.
Now I got it.
Farukh said:
1 decade ago
I didn't get it.
Can anyone explain ?
Please.
Can anyone explain ?
Please.
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