Question
There are 2 two digit numbers such that one has been obtained by reversing the digits of the other. On subtracting the smaller number from the larger number, I get a number divisible by
Answer: Option A
:
A and D
Was this answer helpful ?
:
A and D
Let the number be ab.
Here we have 'a' in tens place and 'b' in units place. So we can write the number as 10a + b. If we reverse it we get 10b+a.
(10a + b) – (10b + a) = 10a + b – 10b – a
= 9a – 9b = 9(a – b).
Hence the number is divisible by 9.
Additionally the resulting number will also be divisible by factors of 9 which is 1 and 3 in this case.
Hence the number obtained will be divisble by 3 and 9.
Was this answer helpful ?
More Questions on This Topic :
Question 1.
Write 908 in expanded form.
....
Question 5.
The usual form of 100×7+10×5+6 is
___
....
Question 6.
123 can be expressed as:
....
Question 7.
1000×2+100×3+10×2+1×4 is expressed as:
....
Latest Videos
Latest Test Papers
Submit Solution