Question

Suppose that 10 < n < 11. A possible value for n is A) 100 B) 120 C) 130 D) 140

Answer 1

The correct answer option is B) 120.

Explanation:

We know that
`10<√(n) <11`.

So to find the possible value to x, we need to take the square of this inequality to get:

`10^2<n<11^2`

which gives us a result of:

`100<n<121`

This inequality tells us that the value of x is greater than 100 but lesser than 121.

So from all the given options, 120 is the most appropriate answer for the possible value of n.

Answer 2

A possible value for n is 120

Explanation:

We are given that
`10<√(n) <11`

Since 10,11 both are positive numbers, we can square the inequality.

10²<n<11²

100<n<121

That is n should lie between 100 and 121.

The only option which is satisfying the above condition is 120.

Hence option B is correct.