How many perfect squares are less than the integer d?

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How many perfect squares are less than the integer d?

(1) 23 < d < 33
(2) 27 < d < 37

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Source: Princeton Review

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by deloitte247 » Sat Jul 13, 2019 3:22 am

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Perfect square is the square of an integer
Statement 1 => 23 < d < 33
d = 24, 25, 26..........32
$$if\ \ d\ \ge25\ perfect\ square\ =\ 6$$
$$if\ \ d\ <25\ perfect\ square\ =\ 5$$
Statement 1 is not SUFFICIENT
$$Statement\ 2=>\ 27<d<37$$
d = 28, 29, 30.....36
If d = 36, perfect square = 7
$$if\ d\ <36\ perfect\ square\ =\ 6$$
6 perfect squares are less than integer d
Statement 2 alone is SUFFICIENT