Question

200 एवं 300 के मध्य ऐसे कितने अंक होंगे जिन्हें 13 से विभाजित किया जा सके

Answer 1

Given:

Range: 200 and 300

Divisible by 13

To find:

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

Solution:

First number after 200 and divisible by 13 = 208

And number just before 300 and divisible by 13 = 299

Hence sequence,

208, 221, and so on till 299 (n terms)

∴ 299 = 208 + (n - 1)13

299 - 208 = (n - 1)13

91 = (n - 1)13

(n - 1) = 91 / 13

n - 1 = 7

n = 7 + 1

n = 8

Therefore, there are 8 terms in between 200 and 300 which are divisible by 13.