Tip:A–D to answerE for explanationV for videoS to reveal answer
The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7 , is
- A.
514
(Correct Answer) - B.
414
- C.
314
- D.
214
Explanation
Solution
Divisible by 2 or 3: n(2∪3)=n(2)+n(3)−n(6)=450+300−150=600.
Subtract Divisible by 7: n((2∪3)∩7)=n(14)+n(21)−n(42)=64+43−21=86.
Total: 600−86=514.
Explanation
Solution
Divisible by 2 or 3: n(2∪3)=n(2)+n(3)−n(6)=450+300−150=600.
Subtract Divisible by 7: n((2∪3)∩7)=n(14)+n(21)−n(42)=64+43−21=86.
Total: 600−86=514.
