Question

How many non-square numbers are there between
4489 and 4624?
(1) 137 (2) 136
(3) 134 (4) 135

Answer 1

Steps to find the non square number:
1)find the square root of 4489
2)multiply 2 with square root

Answer 2

answer : option (3) 134

explanation : here you are seeing that , 4489 = 67² and 4624 = 68²

you also know there is no integral value between 67 and 68.

so, between 4489 and 4624, there is no any number which is a perfect square.

so, all the numbers lies between 4489 and 4624 are non-square numbers.

so, total non - square number lies between 4489 and 4624 = 4624 - 4489 - 1.

[ here because last number 4624 is square number so, we subtract 1 from 4624 - 4489 ]

= 135 - 1 = 134

hence, option (3) is correct