Advertisements
Advertisements
Question
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?
Solution
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
RELATED QUESTIONS
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 31z5 is a multiple of 3, where z is a digit, what might be the values of z?
If x is a digit of the number \[\overline {{66784x}}\] such that it is divisible by 9, find possible values of x.
Given that the number \[\overline{{67y19}}\] is divisible by 9, where y is a digit, what are the possible values of y?
Which of the following statement is true?
If a number is divisible by 9, it must be divisible by 3.
28×6 a multiple of 3?
Check the divisibility of 2146587 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
Let abc be a three-digit number. Then abc – cba is not divisible by ______.
