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
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
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
5 × 555 a multiple of 9?
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
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:
______ 6724
What is the rule to check if a number is divisible by 3?
Which number has a digit sum of 9 and is divisible by 3?
