perfect square

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ruplun: Master | Next Rank: 500 Posts; Posts: 232; Joined: Fri Jun 18, 2010 7:09 amFollowed by: 2 members; Thanked: 1 times

by ruplun » Thu May 26, 2011 1:14 am

How many perfect squares are less than the integer d?

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

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Source: Beat The GMAT — Data Sufficiency | Thu May 26, 2011 1:14 am

vineeshp: Legendary Member; Posts: 965; Joined: Thu Jan 28, 2010 12:52 amFollowed by: 34 members; Thanked: 156 times; GMAT Score:720

by vineeshp » Thu May 26, 2011 2:48 am

Answer is B.

Stmt 1) 23<d<33
If d is 24
squares are 0,1,4,9,16 = 5

If d is 26
squares are 0,1,4,9,16,25.=6

Not sufficient.

Stmt 2) 27<d<37
If d is 28
squares are 0,1,4,9,16, 25

If d is 36
squares are 0,1,4,9,16,25.

Sufficient.

Vineesh,
Just telling you what I know and think. I am not the expert.

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cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members; Location: India; Thanked: 310 times; GMAT Score:750

by cans » Fri May 27, 2011 5:39 am

0 is counted??
i know its not relevant to this question but maybe in different one.....

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Ozlemg: Master | Next Rank: 500 Posts; Posts: 407; Joined: Tue Jan 25, 2011 9:19 amFollowed by: 7 members; Thanked: 25 times

by Ozlemg » Fri May 27, 2011 6:57 am

I did not catch how B is sufficient when d is 36?

If d is 36
squares are 0,1,4,6,9,16,25. -->7 not 6 ?

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breakkgmat: Junior | Next Rank: 30 Posts; Posts: 23; Joined: Mon May 16, 2011 2:41 pm; Location: India; GMAT Score:580

by breakkgmat » Fri May 27, 2011 12:04 pm

It says HOW MANY PERFECT SQUARES ARE LESS THAN THE INTEGER d?
So,if d is 36, the exactly 6 perfect squares less than d..if it would have said,how many less than equal to d then this answer world be a different one.
So, B is the answer.

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bblast: Legendary Member; Posts: 1077; Joined: Mon Dec 13, 2010 1:44 amFollowed by: 33 members; Thanked: 118 times; GMAT Score:710

by bblast » Sat May 28, 2011 11:11 am

cans wrote:0 is counted??
i know its not relevant to this question but maybe in different one.....

yes, 0 and 1 both are perfect squares :

source gmat club :

If x is an integer, what is the value of x ?

x^2 = x^3
x is both a perfect square and a perfect cube.

OA
Statement (1) by itself is insufficient. x can be 0 or 1.

Statement (2) by itself is insufficient. Perfect squares are integers 0, 1, 4, 9, 16, and so on. Similarly, perfect cubes are: 0, 1, 8, 27, 64... Thus x can be 0 or 1.

Statements (1) and (2) combined are insufficient. can still be 0 or 1. E

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cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members; Location: India; Thanked: 310 times; GMAT Score:750

by cans » Sat May 28, 2011 11:21 am

thanks bblast

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