Advertisements
Advertisements
Question
Let abc be a three-digit number. Then abc – cba is not divisible by ______.
Options
9
11
18
33
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 x is a digit of the number \[\overline {{66784x}}\] such that it is divisible by 9, find possible values of x.
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
Which of the following statement is true?
If a number is divisible by 3, it must be divisible by 9.
Find the quotient when 73 – 37 is divided by 9.
Find the quotient when 94 – 49 is divided by 9
Find which of the following numbers are divisible by 3:
(i) 261
(ii) 777
(iii) 6657
(iv) 2574
1×5 divisible by 3?
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?
Check the divisibility of 15287 by 3.
State true or false and explain your answer with reason for the following statement.
A number is divisible by 9, if it is divisible by 3
