How many perfect squares are less than the integer d?

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Mon Jul 01, 2019 11:38 pm

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How many perfect squares are less than the integer d?

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

OA B

Source: Princeton Review

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Source: Beat The GMAT — Data Sufficiency | Mon Jul 01, 2019 11:38 pm

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

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

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

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