Advertisements
Advertisements
प्रश्न
Let abc be a three digit number. Then abc + bca + cab is not divisible by ______.
पर्याय
a + b + c
3
37
9
Advertisements
उत्तर
Let abc be a three digit number. Then abc + bca + cab is not divisible by 9.
Explanation:
We know that, the sum of three-digit numbers taken in cyclic order can be written as 111(a + b + c).
i.e. abc + bca + cab = 3 × 37 × (a + b + c)
Hence, the sum is divisible by 3, 37 and (a + b + c) but not divisible by 9.
APPEARS IN
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)
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.
7×34 divisible 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 __________
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 ______.
Number of the form 3N + 2 will leave remainder 2 when divided by 3.
What is the rule to check if a number is divisible by 3?
