Advertisements
Advertisements
प्रश्न
If 31z5 is a multiple of 9, where z is a digit, what is the value of z? You will find that there are two answers for the last problem. Why is this so?
उत्तर
If a number is a multiple of 9, then the sum of its digits will be divisible by 9.
Sum of digits of 31z5 = 3 + 1 + z + 5 = 9 + z
Hence, 9 + z should be a multiple of 9.
This is possible when 9 + z is any one of these numbers 0, 9, 18, 27, and so on …
However, since z is a single digit number, this sum can be either 9 or 18. Therefore, z should be either 0 or 9.
APPEARS IN
संबंधित प्रश्न
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.
7×34 divisible by 9?
Check the divisibility of 15287 by 3.
If a number is divisible by 6, then it must be divisible by 3
The least number that should be added to 57 so that the sum is exactly divisible by 2, 3, 4 and 5 is __________
Find A as required:
The least number 567A is divisible by 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 .........
If the sum of digits of a number is divisible by three, then the number is always divisible by ______.
