Tip:A–D to answerE for explanationV for videoS to reveal answer
The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is:
- A.
507
- B.
432
(Correct Answer) - C.
472
- D.
400
Explanation
Solution:
3-digit numbers (100 se 999) ke liye:
-
n(3)=300 (Divisible by 3)
-
n(4)=225 (Divisible by 4)
-
n(3∩4)=n(12)=75 (Divisible by both 3 and 4)
-
n(3∪4)=300+225−75=450
Ab unhe hatayein jo 48 se divisible hain:
-
n(48) in 3 digits = {144,192,…,960}=18 numbers.
Final Count: 450−18=432.
Correct Option: (2)
Explanation
Solution:
3-digit numbers (100 se 999) ke liye:
-
n(3)=300 (Divisible by 3)
-
n(4)=225 (Divisible by 4)
-
n(3∩4)=n(12)=75 (Divisible by both 3 and 4)
-
n(3∪4)=300+225−75=450
Ab unhe hatayein jo 48 se divisible hain:
-
n(48) in 3 digits = {144,192,…,960}=18 numbers.
Final Count: 450−18=432.
Correct Option: (2)
