Question

non perfect square numbers lie between the squares of 115 and 116
Option a)245
b) 248
c) 232
d) 230 ​

Answer 1

Answer:

I think b and c is ans of that question

Step-by-step explanation:

the last num of that is non perfect square

8,2

Answer 2

The number of non perfect square numbers lie between the squares of 115 and 116 is 230

Given :

The number 115 square and 116 square

To find :

The number of non perfect square numbers lie between the squares of 115 and 116 is

a)245

b) 248

c) 232

d) 230

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 2 :

Here the given numbers are 115² and 116²

115² = 13225

116² = 13456

The natural numbers lie between 115 square and 116 square are 13226 , 13227 , 13228 , ... , 13455

This is an arithmetic progression

Step 2 of 2 :

Find the number of term

The numbers are 13226 , 13227 , 13228 , ... , 13455

First term = a = 13226

Common Difference = d = 13227 - 13226 = 1

Let 251000 is the nth term of the AP

⇒ a + ( n - 1 )d = 13455

⇒ 13226 + ( n - 1 ) = 13455

⇒ n + 13225 = 13455

⇒ n = 13455 - 13225

⇒ n = 230

The number of non perfect square numbers lie between the squares of 115 and 116 is 230

Hence the correct option is d) 230

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