Advertisements
Advertisements
Question
The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ______.
Advertisements
Solution
The difference of a two-digit number and the number obtained by reversing its digits is always divisible by 9.
Explanation:
Let ab be any two-digit number, then we have
ab – ba = (10a + b) – (10b + a)
= 9a – 9b
= 9(a – b)
Hence, ab – ba is always divisible by 9 and (a – b).
APPEARS IN
RELATED QUESTIONS
If sum of the number 985 and two other numbers obtained by arranging the digits of 985 in cyclic order is divided by 111, 22 and 37 respectively. Find the quotient in each case.
Given an example of a number which is divisible by 2 but not by 4.
Given an example of a number which is divisible by 4 but not by 8.
Which of the following statement is true?
If a number is divisible by 8, it must be divisible by 4.
Which of the following statement is true?
A number is divisible by 18, if it is divisible by both 3 and 6.
Now, look at this —
Check if it is true or not.
If 
then B = ______.
A four-digit number abcd is divisible by 4 if ab is divisible by 4.
A three-digit number abc is divisible by 6 if c is an even number and a + b + c is a multiple of 3.
If AB + 7C = 102, where B ≠ 0, C ≠ 0, then A + B + C = 14.
