Question

(200 एवं 300 के मध्य ऐसे कितने अंक होंगे जिन्हें 13 से विभाजित किया जा सके ?(Army Tech. 2011)(a) 10 (b)9(9)8(d) 12​

Answer 1

Answer:

8

Step-by-step explanation:

tn=a+(n-1)d, 299=208+13n-13, 104=13n, n=104/13=8

Answer 2

The correct option is C) 8.

Step-by-step explanation:

Consider the provided information.

We need to find the number of terms divisible by 13 between 200 and 300.

First divide 200 by 13.

$\frac{200}{13}\approx 15.38$

That means if we multiply 13 with 16 that will gives us the first number which is divisible by 13  and lies between 200 and 300.

13×16=208

Similarly, divide 300 by 13.

$\frac{300}{13}\approx 23.08$

That means if we multiply 13 with 23 that will gives us the last number which is divisible by 13  and lies between 200 and 300.

13×23=299

Now we have last number 299 and first number 208 and the common difference is 13.

Use the formula: $a_n=a+(n-1)d$

Substitute respective values in the above formula.

$299=208+(n-1)13$

$91=(n-1)13$

$7=n-1$

$n=8$

Hence, the correct option is C) 8.

#Learn more

In an A.P. the sum of first ten terms is –80 and the sum of next ten terms is –280. Find the A.P

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