Question

Find the natural number between 102 and 998 which is divisible by 2 and 5 both

Answer 1

Answer:

The total number of natural numbers is 89.

Step-by-step explanation:

To find : The number of natural numbers between 102 and 998 which are divisible by 2 and 5 both ?

Solution :

The number divisible by 2 and 5 both is the number which is divisible by 10.

The number of natural numbers between 102 and 998 which are divisible by 2 and 5 both are 110,120,130,.... 990 forming an Arithmetic progression.

Where, First term is a=110

The common difference is d=10

The last term is l=990

The last term formula is given by,

l = a+(n-1)d

990 = 110+ (n-1) 10

990 - 110 = (n-1)10

880/10 = (n - 1)

N = 89

The total number of natural numbers is 89.