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प्रश्न
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?
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उत्तर
Divisibility rule of 3:
A number is divisible by 3 if the sum of its digits is divisible by 3.
Flowers in basket number 3:
72, 90, 108, 111, 123, 249, 336, 369, 432, 435, 450, 666, 960, 999
Divisibility rule of 4:
A number is divisible by 4 if the number formed by the last two digits is divisible by 4.
Flowers in basket number 4:
72, 108, 220, 336, 356, 432, 960
Divisibility rule of 9:
A number is divisible by 9 if the sum of its digits is divisible by 9.
Flowers in basket number 9:
72, 90, 108, 369, 432, 450, 666, 999
संबंधित प्रश्न
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 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 73 – 37 is divided by 9.
7×34 divisible by 9?
Check the divisibility of 2146587 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 .........
3134673 is divisible by 3 and ______.
Number of the form 3N + 2 will leave remainder 2 when divided by 3.
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
