Advertisements
Advertisements
Question
If the sum of digits of a number is divisible by three, then the number is always divisible by ______.
Options
2
3
6
9
Advertisements
Solution
If the sum of digits of a number is divisible by three, then the number is always divisible by 3.
Explanation:
We know that, if sum of digits of a number is divisible by three, then the number must be divisible by 3, i.e. the remainder obtained by dividing the number by 3 is same as the remainder obtained by dividing the sum of its digits by 3.
APPEARS IN
RELATED QUESTIONS
If 21y5 is a multiple of 9, where y is a digit, what is the value of y?
Given that the number \[\overline{{35\alpha64}}\] is divisible by 3, where α is a digit, what are the possible values of α?
If x is a digit such that the number \[\overline{{18x71}}\] is divisible by 3, find possible values of x.
Which of the following statement is true?
If a number is divisible by 3, it must be divisible 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
If a number is divisible by 6, then it must be divisible by 3
Find the dates of any month in a calendar which are divisible by both 2 and 3.
To play this game, everyone stands in a circle. One player calls out ‘one’. The next player says ‘two’ and so on. A player who has to call out 3 or a number that can be divided by 3 has to say ‘Meow’ instead of the number. One who forgets to say ‘Meow’ is out of the game. The last player left is the winner.
- Which numbers did you replace with ‘Meow’?
3, 6, 9 .........
Among 63, 872, and 552, how many numbers are divisible by 3?
