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How many perfect squares are less than the integer d?

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by hai1 » Mon Mar 08, 2010 6:26 am
How many perfect squares are less than the integer d?

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

OA: B

My approach:

From (1), 25 falls in the interval -- sufficient

From (2) there are no perfect sqaure in the interva- Sufficient.

Hence answer should be D? Where am going wrong?
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Source: — Data Sufficiency |

by kstv » Mon Mar 08, 2010 6:45 am
u are assuming d is a perfect sq
in 2) max value of d is 36 so we know 1,4,9,16,25 are less d
1) d can be < or > or = 25
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by outreach » Mon Mar 08, 2010 12:51 pm
perfect sq are 1,4,9,16,25,36 etc
A) option A says 23 < d < 33
if d=24 then perfect sq less than d are 1,4,9,16
id d=26 then perfect sq less than d are 1,4,9,16,25

hence insuff

B)option B says 27 < d < 37

if d=28 then perfect sq less than d are 1,4,9,16,25
if d=36 then perfect sq less than d are 1,4,9,16,25

hence suff
ans is B
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