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How many odd numbers between 10 and 1,000 are the squares of integers?

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How many odd numbers between 10 and 1,000 are the squares of integers?  [#permalink]

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New post 14 Sep 2006, 09:20
3
19
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A
B
C
D
E

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Question Stats:

68% (00:46) correct 32% (00:55) wrong based on 393 sessions

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How many odd numbers between 10 and 1,000 are the squares of integers?

A. 12
B. 13
C. 14
D. 15
E. 16

OPEN DISCUSSION OF THIS QUESTION IS HERE: how-many-odd-numbers-between-10-and-175184.html
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Re: How many odd numbers between 10 and 1,000 are the squares of integers?  [#permalink]

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New post 14 Sep 2006, 10:42
2
It is the number of odd integers between 4 and 31,inclusive.
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Re: How many odd numbers between 10 and 1,000 are the squares of integers?  [#permalink]

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New post 14 Sep 2006, 12:14
sangarelli wrote:
It is the number of odd integers between 4 and 31,inclusive.


For the slower people like myself:

odd=odd x odd

odd can never equal odd x even
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Re: How many odd numbers between 10 and 1,000 are the squares of integers?  [#permalink]

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New post 14 Sep 2006, 14:09
Thanks guys. Think I'm having a slow day
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Re: How many odd numbers between 10 and 1,000 are the squares of integers?  [#permalink]

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New post 15 Sep 2006, 08:46
5
6
You can look at it this way...

Max. number < 1000 which is a perfect square : 961 (31 x 31)

# of off numbers = (31-1)/2 +1
= 16

As 1, 3 are odd but their squares < 10, answer = 16-2 = 14.
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Re: How many odd numbers between 10 and 1,000 are the squares of integers?  [#permalink]

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New post 01 Jun 2015, 01:42
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5
MBAlad wrote:
How many odd numbers between 10 and 1,000 are the squares of integers?

A. 12
B. 13
C. 14
D. 15
E. 16


The square of an odd number is an odd number:

10 < odd < 1,000
10 < odd^2 < 1,000
3.something < odd < 31.something (by taking the square root).

So, that odd number could be any odd number from 5 to 31, inclusive: 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, and 31.

14 numbers.

Answer: C.

OPEN DISCUSSION OF THIS QUESTION IS HERE: how-many-odd-numbers-between-10-and-175184.html
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Re: How many odd numbers between 10 and 1,000 are the squares of integers?  [#permalink]

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New post 11 Jul 2018, 22:57
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Re: How many odd numbers between 10 and 1,000 are the squares of integers? &nbs [#permalink] 11 Jul 2018, 22:57
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