Question discussion

How many numbers between 200 and 400 are multiples of 13?

196473Medium 2 replies 580 views
0
CCommunity
The first number to be divisible by 13 after 200 is 208.

The next number will be 221, 234, 247 and so on till 390

We get an Arithmetic Progression with first term a1 = 208, common difference d = 13 and nth term an = 390.

We know that,

an = a1 + (n-1)d

⇒ 390 = 208 + (n-1) × 13

⇒ 390 – 208 = 13n – 13

⇒ 182 + 13 = 13n

⇒ n = 195/13

⇒ n = 15
0
CCommunity
400-200=200

200/13=15.38

15 is required answer but excluding after decimal part