Advertisements
Advertisements
प्रश्न
Let abc be a three-digit number. Then abc – cba is not divisible by ______.
पर्याय
9
11
18
33
Advertisements
उत्तर
Let abc be a three-digit number. Then abc – cba is not divisible by 18.
Explanation:
Given, abc is a three-digit number.
Then, abc = 100a + 10b + c
And cba = 100c + 10b + a
abc – cba = (100a + 10b + c) – (100c + 10b + a)
= 100a – a + 10b – 10b + c – 100
= 99a – 99c
= 99(a – c)
= abc – cba is divisible by 99.
⇒ abc – cba is divisible by 9, 11, 33, but it is not divisible by 18.
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)
1×5 divisible by 3?
28×6 a multiple of 3?
Find the dates of any month in a calendar which are divisible by both 2 and 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 .........
If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is ______.
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?
Among 63, 872, and 552, how many numbers are divisible by 3?
Which number has a digit sum of 9 and is divisible by 3?
