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PS-How many Positive integers? [#permalink]
 28 Mar 2009, 23:09
Question Stats:
100% (02:42) correct
0% (00:00) wrong based on 0 sessions
How many positive integers, from 2 to 100, inclusive, are not divisible by odd integers greater than 1?
A. 5
B. 6
C. 8
D. 10
E. 50
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Re: PS-How many Positive integers? [#permalink]
29 Mar 2009, 03:13
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Re: PS-How many Positive integers? [#permalink]
29 Mar 2009, 03:19
I think this should be simple - 2, 4, 8, 16, 32 and 64.
So answer is B.
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Re: PS-How many Positive integers? [#permalink]
29 Mar 2009, 06:17
nitya34 wrote: How many positive integers, from 2 to 100, inclusive, are not divisible by odd integers greater than 1?
A. 5
B. 6
C. 8
D. 10
E. 50 The question clearly says that we need to find numbers which do not have odd factors. So the number must be of the form 2^nHence the numbers in the given range are 2, 2^2, 2^3, 2^4, 2^5 \quad and \quad 2^6So totally 6 numbers exits.
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Re: PS-How many Positive integers? [#permalink]
29 Mar 2009, 09:12
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Re: PS-How many Positive integers? [#permalink]
29 Mar 2009, 11:20
We have a range of 2...100.
Only some of the even integers will not be divisible by odd numbers in this range.
Let's try to list a few even numbers in the range: 2,4,6,8,10,12,14,16,18,20....
Out of these 2,4,8,16 are not divisible by odd factors - it can be deduced that the numbers we seek are multiples of 2: 2,4,8,16,32,64.
Therefore, the answer is B.
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Re: PS-How many Positive integers?
[#permalink]
29 Mar 2009, 11:20
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