1. Check whether 19125 is divisible by 75 or not?Solution:Divisibility rule of 75 :
If number is divisible by 3 and 25, then number is also divisible by 75.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 19125 is `1+9+1+2+5=18`, which is divisible by 3.
`:.` 19125 is divisible by 3.
Divisibility rule of 25 :
The last two digit is divisible by 25, then number is also divisible by 25.
Last 2 digit of 19125 is 25, which is divisible by 25.
`:.` 19125 is divisible by 25.
19125 is divisible by 3 and 25.
`:.` 19125 is divisible by 75.
2. Check whether 22950 is divisible by 75 or not?Solution:Divisibility rule of 75 :
If number is divisible by 3 and 25, then number is also divisible by 75.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 22950 is `2+2+9+5+0=18`, which is divisible by 3.
`:.` 22950 is divisible by 3.
Divisibility rule of 25 :
The last two digit is divisible by 25, then number is also divisible by 25.
Last 2 digit of 22950 is 50, which is divisible by 25.
`:.` 22950 is divisible by 25.
22950 is divisible by 3 and 25.
`:.` 22950 is divisible by 75.
3. Check whether 29400 is divisible by 75 or not?Solution:Divisibility rule of 75 :
If number is divisible by 3 and 25, then number is also divisible by 75.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 29400 is `2+9+4+0+0=15`, which is divisible by 3.
`:.` 29400 is divisible by 3.
Divisibility rule of 25 :
The last two digit is divisible by 25, then number is also divisible by 25.
Last 2 digit of 29400 is 0, which is divisible by 25.
`:.` 29400 is divisible by 25.
29400 is divisible by 3 and 25.
`:.` 29400 is divisible by 75.
4. Check whether 18781 is divisible by 75 or not?Solution:Divisibility rule of 75 :
If number is divisible by 3 and 25, then number is also divisible by 75.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 18781 is `1+8+7+8+1=25`, which is not divisible by 3.
`:.` 18781 is not divisible by 3.
Hence 18781 is also not divisible by 75.
5. Check whether 23033 is divisible by 75 or not?Solution:Divisibility rule of 75 :
If number is divisible by 3 and 25, then number is also divisible by 75.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 23033 is `2+3+0+3+3=11`, which is not divisible by 3.
`:.` 23033 is not divisible by 3.
Hence 23033 is also not divisible by 75.
6. Check whether 26347 is divisible by 75 or not?Solution:Divisibility rule of 75 :
If number is divisible by 3 and 25, then number is also divisible by 75.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 26347 is `2+6+3+4+7=22`, which is not divisible by 3.
`:.` 26347 is not divisible by 3.
Hence 26347 is also not divisible by 75.
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
