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?
Advertisements
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.
संबंधित प्रश्न
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
Find the quotient when 73 – 37 is divided by 9.
Find the quotient when 94 – 49 is divided by 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?
The least number that should be added to 57 so that the sum is exactly divisible by 2, 3, 4 and 5 is __________
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 ______.
3134673 is divisible by 3 and ______.
Write the smallest digit and the greatest digit in the blank space of the following number so that the number formed is divisible by 3:
______ 6724
