What is the value of odd positive integer m?

Question

(1) m has only one positive odd factor.
(2) m has no positive even factors.

yezz · Answer

From 1

M is odd and has one odd factor ... m=1 ... suff

From 2

M is odd ... could be any odd... insuff

A

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Harish Yannam · Answer

even i think only a is right answer.
because only one positive factor, it can be only one. all prime numbers have 1 and itself as factors.
2 is not sufficient.
correct me if i am wrong.

laddaboy · Answer

Given m is odd,+,integer

From

1) m can only be 1 
Note : say m =3 , it has 2 factors which are odd positive integers ( 1,3 )

Hence Sufficient
2) m can be 1,3,5,7,9 etc.. => Not sufficient

Ans A

kanthaliya · Answer

Hi Brunel,

the option a says that m has only one positive odd factor, but it dont say that m has no even factor.
The option says nothing about even factors.

Hence, the answer can be 2 also, as it has only one odd factor = 1

so as per above understanding I got correct answer as C.

Please guide me with this question.

adstudy · Answer

'm' is an odd - positive - integer - means it can be anything from 1,3,5,7... and so on - means it will have only odd factors. Statement 1 - m has only one positive odd factor. Now if I select any odd number that is a) Non Prime - eg -> 21 - factors are 1, 3, 7 and 21 b) Prime - eg -> 5 - factors are 1 and 5 c) '1' - It is the only odd digit having only one factor. Hence Statement 1 is Sufficient Statement 2 - m has no positive even factors This we already know from the stem that m has no even factors as 'm' itself is odd. Hence Statement 2 is in insufficient. Hence answer is A, that is, statement 1 alone is sufficient Hope it Helps

KrishnakumarKA1 · Answer

Hi,

This is a pretty-straight forward question.

In the question, its mentioned that, “m” is a positive integer and odd. We need to find the value of “m”

So, m could be 1,3,5,7,9……

Statement I is sufficient:

m has only one positive odd factor.
 
So, one is the only number which has only one factor.

All other numbers are either prime or composite numbers, which has more than 1 factor.

So, here m has to be 1.

Hence, Statement I is sufficient.

Statement II is insufficient:

m has no positive even factors.

Odd numbers don’t have even factors. But we already know that(from the question) m is odd.

But it doesn’t help to narrow down the value of m.

So, it is insufficient.

So the answer is A.

What is the value of odd positive integer m?

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