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If b > 1, is integer b less than 11?

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Bunuel
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If b > 1, is integer b less than 11? [#permalink] New post   06 Dec 2016, 07:29
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If b > 1, is integer b less than 11?

(1) b has no integer factors, f, such that 1 < f < 10.
(2) b has exactly two factors.
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A
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yezz
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If b > 1, is integer b less than 11? [#permalink] New post   07 Dec 2016, 09:07
Bunuel wrote:
If b > 1, is integer b less than 11?

(1) b has no integer factors, f, such that 1 < f < 10.
(2) b has exactly two factors.




since integer b>1 and al its factors are in the range 2<=f<=9 , i.e all factors of b that are >1 are larger than 9 ( could be 11,13,17etc) , thus B could be 11 13 or 17 or ....etc..suff

from 2

b has exactly 2 factors and since one of them is 1 then the other is itself , i.e. it is prime but there are primes that are larger than 11 and those that are less... insuff

A
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bazu
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If b > 1, is integer b less than 11? [#permalink] New post   10 Dec 2016, 08:58
yezz wrote:
Bunuel wrote:
If b > 1, is integer b less than 11?

(1) b has no integer factors, f, such that 1 < f < 10.
(2) b has exactly two factors.




since integer b>1 and al its factors are in the range 2<=f<=9 , i.e all factors of b that are >1 are larger than 9 ( could be 10 or 11...etc) ,thus B could be 10 or 11 or ....etc..insuff

from 2

b has exactly 2 factors and since one of them is 1 then the other is itself , i.e. it is prime but there are primes that are larger than 11 and those that are less... insuff

both
b is a prime larger than 9 thus the least it can be is 11 .... suff



IMHO answer is A.

If b is an integer with NO factors f such as 1<f<10 then b is a prime number >= 11. If b was 10, then it would have 5 and 2 among its factors
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yezz
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Re: If b > 1, is integer b less than 11? [#permalink] New post   13 Dec 2016, 21:19
Many thanks edited my post


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If b > 1, is integer b less than 11? (1) b has no integer factors, f, [#permalink] New post   06 Feb 2017, 09:06
If b > 1, is integer b less than 11?

(1) b has no integer factors, f, such that 1 < f < 10.
(2) b has exactly two factors.

source: bellcurves.com
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Bunuel
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Re: If b > 1, is integer b less than 11? [#permalink] New post   06 Feb 2017, 09:16
Expert Reply
duahsolo wrote:
If b > 1, is integer b less than 11?

(1) b has no integer factors, f, such that 1 < f < 10.
(2) b has exactly two factors.

source: bellcurves.com


Merging topics. Please refer to the discussion above.
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Re: If b > 1, is integer b less than 11? [#permalink]
06 Feb 2017, 09:16
Moderator:
Bunuel
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92914 posts

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