Advertisements
Advertisements
प्रश्न
Which of the following statement is true?
If a number is divisible by 3, it must be divisible by 9.
विकल्प
True
False
Advertisements
उत्तर
False
Explanation:
Every number with the structures (9n + 3) or (9n + 6) is divisible by 3 but not by 9. Example: 3, 6, 12 etc.
APPEARS IN
संबंधित प्रश्न
If 31z5 is a multiple of 9, where z is a digit, what is the value of z? You will find that there are two answers for the last problem. Why is this so?
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?
If a number is divisible by 6, then it must be divisible 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 __________
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
Find A as required:
The least number 567A is divisible by 3
If the sum of digits of a number is divisible by three, then the number is always divisible by ______.
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
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:
4765 ______ 2
