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How many odd integers from 1 to 200 (both inclusive) have odd number o

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GMATinsight
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How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   Updated on: 15 Jul 2015, 20:43
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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

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Answer: Option E
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E

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.
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   15 Jul 2015, 18:59
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GMATinsight wrote:
How many odd integers from 1 to 200 (both inclusive) have odd number of factors?

A) 3
B) 4
C) 5
D) 6
E) Greater than 6

Show Spoiler
Answer: Option E


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 .
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   15 Jul 2015, 19:32
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chetan2u wrote:
Engr2012 wrote:
chetan2u wrote:

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 .


hi,
why arent you considering even squares like 4,36 etc..
4 has 1,2,4 as its factors

Because the question asks about "odd integers" and not even or all integers


hi,
Sorry, did not read the Q properly :)


Finally, the Trap I laid out turned successful :P
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   15 Jul 2015, 19:21
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GMATinsight wrote:
How many odd integers from 1 to 200 (both inclusive) have odd number of factors?

A) 3
B) 4
C) 5
D) 6
E) Greater than 6

Show Spoiler
Answer: Option E



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..
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   15 Jul 2015, 19:23
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Engr2012 wrote:
GMATinsight wrote:
How many odd integers from 1 to 200 (both inclusive) have odd number of factors?

A) 3
B) 4
C) 5
D) 6
E) Greater than 6

Show Spoiler
Answer: Option E


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 .


hi,
why arent you considering even squares like 4,36 etc..
4 has 1,2,4 as its factors
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   15 Jul 2015, 19:27
chetan2u wrote:
Engr2012 wrote:
GMATinsight wrote:
How many odd integers from 1 to 200 (both inclusive) have odd number of factors?

A) 3
B) 4
C) 5
D) 6
E) Greater than 6

Show Spoiler
Answer: Option E


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 .


hi,
why arent you considering even squares like 4,36 etc..
4 has 1,2,4 as its factors


Because the question asks about "odd integers" and not even or all integers
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   15 Jul 2015, 19:29
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Engr2012 wrote:
chetan2u wrote:
Engr2012 wrote:

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 .


hi,
why arent you considering even squares like 4,36 etc..
4 has 1,2,4 as its factors


Because the question asks about "odd integers" and not even or all integers


hi,
Sorry, did not read the Q properly :)
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   15 Jul 2015, 19:35
GMATinsight wrote:

Finally, the Trap I laid out turned successful :P


Would've been a bigger trap if the last option would've mentioned a particular value rather >6
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   15 Jul 2015, 19:35
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GMATinsight wrote:
chetan2u wrote:

hi,
Sorry, did not read the Q properly :)


Finally, the Trap I laid out turned successful :P
..


yeah, in a hurry but may be not in proper exam..
and although the answer was still correct because of choices, it could have easily been wrong.. :)
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   15 Jul 2015, 20:44
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chetan2u wrote:
GMATinsight wrote:
chetan2u wrote:

hi,
Sorry, did not read the Q properly :)


Finally, the Trap I laid out turned successful :P
..


yeah, in a hurry but may be not in proper exam..
and although the answer was still correct because of choices, it could have easily been wrong.. :)


Changed option a little to make it a bigger trap :lol:
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink] New post   27 Apr 2023, 04:10
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Re: How many odd integers from 1 to 200 (both inclusive) have odd number o [#permalink]
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