Advertisements
Advertisements
Question
If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is ______.
Options
an odd multiple of 3
odd multiple of 6
even multiple of 3
even multiple of 9
Solution
If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is an odd multiple of 3.
Explanation:
We have, x + y + z = 6 and z is an odd digit. Since, sum of the digits is divisible by 3, it will also be divisible by 2 and 3 but unit digit is odd, so it is divisible by 3 only. Hence, the number is an odd multiple of 3.
APPEARS IN
RELATED QUESTIONS
If 21y5 is a multiple of 9, where y is a digit, what is the value of y?
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)
If x is a digit such that the number \[\overline{{18x71}}\] is divisible by 3, find possible values of x.
Which of the following statement is true?
If a number is divisible by 9, it must be divisible by 3.
1×5 divisible by 3?
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
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 .........
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
