Question

How many numbers between 200 and 300 are such which are divisible by 13

Answer 1

Let a be 208 {First number in series 200–300 which is divisible by 13}

And A be 299 {Last number in series divisible by 13}

And n be the number between series divisible by 13.

And d is common difference i.e 13

As per the Arithmetic Progression Formula ,

A=a +(n-1) d

After substituting value ,

299=208+(n-1)*13

299–208=(n-1)*13

91/13=n-1

n=7–1=6

Therefore 6 numbers are divisible by 13 from 200 to 300.

Answer 2

Answer:

There are 6 numbers b/w 200 and 300 which are divisible by 13