Advertisements
Advertisements
Question
Let abc be a three-digit number. Then abc – cba is not divisible by ______.
Options
9
11
18
33
Advertisements
Solution
Let abc be a three-digit number. Then abc – cba is not divisible by 18.
Explanation:
Given, abc is a three-digit number.
Then, abc = 100a + 10b + c
And cba = 100c + 10b + a
abc – cba = (100a + 10b + c) – (100c + 10b + a)
= 100a – a + 10b – 10b + c – 100
= 99a – 99c
= 99(a – c)
= abc – cba is divisible by 99.
⇒ abc – cba is divisible by 9, 11, 33, but it is not divisible by 18.
APPEARS IN
RELATED QUESTIONS
If 24x is a multiple of 3, where x is a digit, what is the value of x?
(Since 24x is a multiple of 3, its sum of digits 6 + x is a multiple of 3; so 6 + x is one of these numbers: 0, 3, 6, 9, 12, 15, 18…. But since x is a digit, it can only be that 6 + x = 6 or 9 or 12 or 15. Therefore, x = 0 or 3 or 6 or 9. Thus, x can have any of four different values)
If x is a digit of the number \[\overline {{66784x}}\] such that it is divisible by 9, find possible values of x.
Which of the following statement is true?
If a number is divisible by 9, it must be divisible by 3.
Find the quotient when 73 – 37 is divided by 9.
Find the quotient when 94 – 49 is divided by 9
31×5 divisible by 3?
5 × 555 a multiple of 9?
There are some flowering trees in a garden. Each tree bears many flowers with the same number printed on it. Three children took a basket each to pick flowers. Each basket has one of the numbers, 3, 4 or 9 on it. Each child picks those flowers which have numbers divisible by the number on his or her basket. He/She takes only 1 flower from each tree. Can you tell which numbers the flowers in each basket will have?
Find A as required:
The least number 567A is divisible by 3
Why is 872 NOT divisible by 3?
