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Math Expert V
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What is the value of positive integer m?  [#permalink]

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Difficulty:   65% (hard)

Question Stats: 40% (01:16) correct 60% (01:01) wrong based on 98 sessions

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What is the value of positive integer m?

(1) m has only one odd factor.
(2) m has only one even factor.

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Re: What is the value of positive integer m?  [#permalink]

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1 ) Can be 3 or 9
insufficient

2) Can be 2, 4, 6 or 8 as a factor . Insufficient

Combined also doens't give certain answer.

In my opinion E
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Re: What is the value of positive integer m?  [#permalink]

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1 ) Can be 3 or 9
insufficient

2) Can be 2, 4, 6 or 8 as a factor . Insufficient

Combined also doens't give certain answer.

In my opinion E

3 has two odd factors -1 and 3
similarly 4 has 1 odd and 2 even factors-1, 2 and 4.

St 1- m=1, 2, 4, 8... all have one odd factor 1
St 2- only m=2 is possible.
Hence B
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Re: What is the value of positive integer m?  [#permalink]

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Option B

Given: m(Integer) > 0; m = ?

I: m has only one odd factor
: Possible integers with only one odd factor: 1 (1); 2 (1,2); 4 (1, 2, 4); 8 (1, 2, 4, 8)
Not sufficient

II: m has only one even factor
: Only possible positive integer with only one even factor : 2 (1, 2)
: For example - 1 (no. of even factors 0); 3 (no. of even factors 0); 4 (no. of even factors 2 - 2&4); 5 (no. of even factors 0); 6 (no. of even factors 2 - 2&6)
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Re: What is the value of positive integer m?  [#permalink]

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IMO C

From 1 m has only one odd factor so m cam be 2(factors 1,2), can be 4 (1 , 2, 4)

From statement 2, m has only even factor( it doesn't state anything about odd factors) so m can be 2, 6 ,30

By combining both m has only one even and one odd then M can take only one value that is 2
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Re: What is the value of positive integer m?  [#permalink]

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2
Bunuel wrote:
What is the value of positive integer m?

(1) m has only one odd factor.
(2) m has only one even factor.

Answer is Option B

Option A-m has only one odd factor.
let m=1,2,3,4,5,6,7,8,9
All have their factor as 1, which is ODD
So Insufficient...

Option B- m has only one even factor.[/quote]

Only possible is option is 2 which has only one even factor...!!

[b]So option B is required to answer the question...
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Re: What is the value of positive integer m?  [#permalink]

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Statement 1: possible value can be 1 , 2, 4

Statement 2: possible value can be 2

Correct answer is B
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Re: What is the value of positive integer m?  [#permalink]

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Bunuel wrote:
What is the value of positive integer m?

(1) m has only one odd factor.
(2) m has only one even factor.

Bunuel Isn't Statement 2 ambiguous?

It can be interpreted as:

1. m has only 1 factor which is even. <- The intended meaning as per the OA

2. Of all the factors of m, only 1 is even The other meaning
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Math Expert V
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Re: What is the value of positive integer m?  [#permalink]

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umg wrote:
Bunuel wrote:
What is the value of positive integer m?

(1) m has only one odd factor.
(2) m has only one even factor.

Bunuel Isn't Statement 2 ambiguous?

It can be interpreted as:

1. m has only 1 factor which is even. <- The intended meaning as per the OA

2. Of all the factors of m, only 1 is even The other meaning

m has only one even factor means that out of all the factors of m only one is even. So, your first reading is not correct while the second one is.
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Re: What is the value of positive integer m?  [#permalink]

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Bunuel wrote:
umg wrote:
Bunuel Isn't Statement 2 ambiguous?

It can be interpreted as:

1. m has only 1 factor which is even. <- The intended meaning as per the OA

2. Of all the factors of m, only 1 is even The other meaning

m has only one even factor means that out of all the factors of m only one is even. So, your first reading is not correct while the second one is.

In that case, shouldn't OA be E ??
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Math Expert V
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Re: What is the value of positive integer m?  [#permalink]

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umg wrote:
Bunuel wrote:
umg wrote:
Bunuel Isn't Statement 2 ambiguous?

It can be interpreted as:

1. m has only 1 factor which is even. <- The intended meaning as per the OA

2. Of all the factors of m, only 1 is even The other meaning

m has only one even factor means that out of all the factors of m only one is even. So, your first reading is not correct while the second one is.

In that case, shouldn't OA be E ??

m has only one even implies that m = 2 only.
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Re: What is the value of positive integer m?  [#permalink]

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What is the value of positive integer m?

(1) m has only one odd factor.
(2) m has only one even factor.

Can someone explain how come B is the answer?
Per statement 2 - m has only 1 even factor that is 2 but m can have any no. of odd factors because question does not state that m has the least positive integer.
Given the question stem - if m has only 1 even factor and 1 odd factor then m has to be 2. So C should be the answer.

Please advise why my understanding is wrong.
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Re: What is the value of positive integer m?  [#permalink]

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lakshya wrote:
What is the value of positive integer m?

(1) m has only one odd factor.
(2) m has only one even factor.

Can someone explain how come B is the answer?
Per statement 2 - m has only 1 even factor that is 2 but m can have any no. of odd factors because question does not state that m has the least positive integer.
Given the question stem - if m has only 1 even factor and 1 odd factor then m has to be 2. So C should be the answer.

Please advise why my understanding is wrong.

m has only one even implies that m = 2 only. Can you name any other positive integer with only one even factor?
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Re: What is the value of positive integer m?  [#permalink]

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Statement 1
Possible outputs: 2,4,8....

Statement 2:
Possible outputs: 2,6,10,18,....

Combined gives output : 2

So option C

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What is the value of positive integer m?  [#permalink]

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Bunuel wrote:
lakshya wrote:
What is the value of positive integer m?

(1) m has only one odd factor.
(2) m has only one even factor.

Can someone explain how come B is the answer?
Per statement 2 - m has only 1 even factor that is 2 but m can have any no. of odd factors because question does not state that m has the least positive integer.
Given the question stem - if m has only 1 even factor and 1 odd factor then m has to be 2. So C should be the answer.

Please advise why my understanding is wrong.

m has only one even implies that m = 2 only. Can you name any other positive integer with only one even factor?
6 has only one even factor and two odd factors
10 has one even factor and two odd factors ..

30 has one even and three odd factors..so on

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Math Expert V
Joined: 02 Sep 2009
Posts: 58340
Re: What is the value of positive integer m?  [#permalink]

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Manbarasan wrote:
Bunuel wrote:
lakshya wrote:
What is the value of positive integer m?

(1) m has only one odd factor.
(2) m has only one even factor.

Can someone explain how come B is the answer?
Per statement 2 - m has only 1 even factor that is 2 but m can have any no. of odd factors because question does not state that m has the least positive integer.
Given the question stem - if m has only 1 even factor and 1 odd factor then m has to be 2. So C should be the answer.

Please advise why my understanding is wrong.

m has only one even implies that m = 2 only. Can you name any other positive integer with only one even factor?
6 has only one even factor and two odd factors
10 has one even factor and two odd factors ..

30 has one even and three odd factors..so on

Sent from my iPhone using GMAT Club Forum mobile app

6 has TWO even factors: 2 and 6.
30 has FOUR even factors: 2, 6, 10 and 30.
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Re: What is the value of positive integer m?  [#permalink]

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Bunuel wrote:
Manbarasan wrote:
Bunuel wrote:
[quote="lakshya"]What is the value of positive integer m?

(1) m has only one odd factor.
(2) m has only one even factor.

Can someone explain how come B is the answer?
Per statement 2 - m has only 1 even factor that is 2 but m can have any no. of odd factors because question does not state that m has the least positive integer.
Given the question stem - if m has only 1 even factor and 1 odd factor then m has to be 2. So C should be the answer.

Please advise why my understanding is wrong.

m has only one even implies that m = 2 only. Can you name any other positive integer with only one even factor?
6 has only one even factor and two odd factors
10 has one even factor and two odd factors ..

30 has one even and three odd factors..so on

Sent from my iPhone using GMAT Club Forum mobile app

6 has TWO even factors: 2 and 6.
30 has FOUR even factors: 2, 6, 10 and 30.[/quote] Got it man .. Thank you
Dunno y my mind gone so blunt Sent from my iPhone using GMAT Club Forum mobile app
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Re: What is the value of positive integer m?  [#permalink]

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_________________ Re: What is the value of positive integer m?   [#permalink] 28 Feb 2019, 10:15
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