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Updated on: 15 Jul 2015, 20:43
Originally posted by GMATinsight on 15 Jul 2015, 18:54.
Last edited by GMATinsight on 15 Jul 2015, 20:43, edited 1 time in total.
Last edited by GMATinsight on 15 Jul 2015, 20:43, edited 1 time in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
49% (01:40) correct
51%
(01:33)
wrong
based on 235
sessions
History
Date
Time
Result
Not Attempted Yet
How many odd integers from 1 to 200 (both inclusive) have odd number of factors?
A) 13
B) 14
C) 5
D) 6
E) 7
A) 13
B) 14
C) 5
D) 6
E) 7
Answer: Option E
ENGRTOMBA2018
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Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
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15 Jul 2015, 18:59
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GMATinsight
Integers having odd number of factors will be perfect squares. Odd numbers will have odd perfect squares. Thus, the possible values for the perfect squares are :
1,9,25,49,81,121,169 and the corresponding integers are 1,3,5,7,9,11,13 (more than 6). Thus E is the correct answer .
15 Jul 2015, 19:21
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GMATinsight
hello,
every number should have a correponding factor to any factor so normallyevery number should have even number of factors.
however this does not hold good for perfect squares because here we have one factor, which when squared gives us the number...
thus they will have pair of factors and one single factor, resulting in odd number of integers..
from 1 to 200 we look at perfect squares...
square of 14 =196 <200...
thus 14 such numbers, but we are looking at odd numbers so 14/2=7
ans E
editing the explanation after rereading the Q..
