JEE Main202329 Jan 2023Evening ShiftMathematicsSequences and SeriesActual
The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48 , is
Options
- A472
- B432
- C507
- D400
Correct answer
B. 432
Step-by-step solution
We know that, Total number of three digit number will be 999 - 99 = 900 , Now, Number of 3 - digit number which are divisible by 3 will be 900 3 = 300 , Number of 3 - digit number which are divisible by 4 will be 900 4 = 225 , Number of 3 - digit number which are divisible by 3   &   4 both will be 900 12 = 75 , So , number of 3 - digit number which are divisible by 3   or   4 will be 300 + 225 - 75 = 450 , Now, number of 3 - digit number which are divisible by 48 is 900 48 = 18 So, number o