Question

The number 312 lies between what two perfect squares?

A) 125 and 330

B) 216 and 330

C) 216 and 343

D) 300 and 343

Answer 1

312 lies between perfect squares 289 and 324

None of the options is correct

Explanation:

A perfect square is a number that can be expressed as the product of two equal integers. For example, 16 is a perfect square since it can be expressed as
`4*4 or 4^(2)`

We can list a couple of perfect squares and see which option is correct.

`10^(2) = 100`

`11^(2) = 121`

`12^(2) = 144`

`13^(2) = 169`

`14^(2) = 196`

`15^(2) = 225`

`16^(2) = 256`

`17^(2) = 289`

312 lies here

`18^(2) = 324`

`19^(2) = 361`

Then, we can conclude that

`289 = 17^(2) \leq 312 \leq 18^(2) = 324`

Answer 2

Answer:
B) 216 and 330
or
C) 216 and 343

Well, for starters, I will pick B) 216 and 330 as my answer because its closer than C) 216 and 343, even though both can be the answer.