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?

Advertisements
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 31z5 is a multiple of 3, where z is a digit, what might be the values of z?
Given that the number \[\overline{{35\alpha64}}\] is divisible by 3, where α is a digit, what are the possible values of α?
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
7×34 divisible by 9?
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
3134673 is divisible by 3 and ______.
What is the rule to check if a number is divisible by 3?
Among 63, 872, and 552, how many numbers are divisible by 3?
