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
Advertisements
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
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
Find the quotient when 94 – 49 is divided by 9
7×34 divisible by 9?
Check the divisibility of 15287 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
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
What is the rule to check if a number is divisible by 3?
The digit sum of 91 is 10. Therefore, 91 is:
