The number of multiples lie between n and n² which are divisible by n is
(a) n + 1
(b) n
(c) n – 1
(d) n – 2
is it option b or d really urgent
Answers
The number of multiples that lies between n and n² which are divisible by n is (n-2).
Step-by-step explanation:
We have to find the number of multiples that lies between n and n² which are divisible by n.
We can explain this by taking two simple examples.
- Suppose n = 3
This means that we have to find the number of multiples that lies between 3 and , i.e; between 3 and 9.
As we know that between 3 and 9, there is only 1 multiple of 3 which is 6. This means that we can relate this to the fact that between n and n², there are (n - 2) multiples which are divisible by n because;
Between 3 and 9 = (n - 2) = 3 - 2 = 1 {also there is only multiple between 3 and 9 of 6}
Similarly, take another example;
2. Suppose n = 4
This means that we have to find the number of multiples that lies between 4 and , i.e; between 4 and 16.
As we know that between 4 and 16, there are two multiples of 4 which is 8 and 12. This means that we can relate this to the fact that between n and n², there are (n - 2) multiples which are divisible by n because;
Between 4 and 16 = (n - 2) = 4 - 2 = 2 {also there are two multiples between 3 and 9 of 8 and 16}.
Hence, the number of multiples lie between n and n² which are divisible by n is (n - 2).
Step-by-step explanation:
The number of multiples that lies between n and n² which are divisible by n is (n-2).
Step-by-step explanation:
We have to find the number of multiples that lies between n and n² which are divisible by n.
We can explain this by taking two simple examples.
Suppose n = 3
This means that we have to find the number of multiples that lies between 3 and 3^{2}3
2
, i.e; between 3 and 9.
As we know that between 3 and 9, there is only 1 multiple of 3 which is 6. This means that we can relate this to the fact that between n and n², there are (n - 2) multiples which are divisible by n because;
Between 3 and 9 = (n - 2) = 3 - 2 = 1 {also there is only multiple between 3 and 9 of 6}
Similarly, take another example;
2. Suppose n = 4
This means that we have to find the number of multiples that lies between 4 and 4^{2}4
2
, i.e; between 4 and 16.
As we know that between 4 and 16, there are two multiples of 4 which is 8 and 12. This means that we can relate this to the fact that between n and n², there are (n - 2) multiples which are divisible by n because;
Between 4 and 16 = (n - 2) = 4 - 2 = 2 {also there are two multiples between 3 and 9 of 8 and 16}.
Hence, the number of multiples lie between n and n² which are divisible by n is (n - 2).