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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)
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
Find which of the following numbers are divisible by 3:
(i) 261
(ii) 777
(iii) 6657
(iv) 2574
28×6 a multiple of 3?
5 × 555 a multiple of 9?
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
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 ______.
Number of the form 3N + 2 will leave remainder 2 when divided by 3.
Which number has a digit sum of 9 and is divisible by 3?
