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# What is the value of positive integer m?

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

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13 Jan 2017, 09:01
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65% (hard)

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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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13 Jan 2017, 09:05
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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13 Jan 2017, 11:13
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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13 Jan 2017, 12:14
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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13 Jan 2017, 22:56
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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14 Jan 2017, 00:24
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.

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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14 Jan 2017, 04:46
Statement 1: possible value can be 1 , 2, 4

Statement 2: possible value can be 2

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

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09 May 2017, 11:43
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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Re: What is the value of positive integer m?  [#permalink]

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09 May 2017, 11:47
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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09 May 2017, 11:53
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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Re: What is the value of positive integer m?  [#permalink]

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09 May 2017, 11:55
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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09 May 2017, 14:22
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.

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

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09 May 2017, 21:36
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.

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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10 May 2017, 01:31
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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10 May 2017, 01:33
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.

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

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10 May 2017, 01:42
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.

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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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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10 May 2017, 01:44
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.

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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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

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

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