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# If M£ is defined by M£ = M^2 − 2. What is the value of the positive in

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Joined: 02 Sep 2009
Posts: 52294
If M£ is defined by M£ = M^2 − 2. What is the value of the positive in  [#permalink]

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21 Sep 2018, 00:29
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Difficulty:

25% (medium)

Question Stats:

73% (01:12) correct 27% (01:30) wrong based on 58 sessions

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If M£ is defined by M£ = M^2 − 2. What is the value of the positive integer M?

(1) 14 < M£ < 34
(2) M£ is an odd number

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Joined: 07 Dec 2017
Posts: 868
If M£ is defined by M£ = M^2 − 2. What is the value of the positive in  [#permalink]

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Updated on: 21 Sep 2018, 11:59
Bunuel wrote:
If M£ is defined by M£ = M^2 − 2. What is the value of the positive integer M?

(1) 14 < M£ < 34
(2) M£ is an odd number

We'll simplify our expressions to understand our given data.
This is a Precise approach.

(1) 14 < M^2 - 2 < 34 --> 16 < M^2 < 36 --> 4 < M < 6 or -6 < M < -4
So M = 5 or M = -5, but since M needs to be positive, M=5 is the only option.
Sufficient.

(2) This is clearly insufficient on its own: any positive integer M such that M^2 - 2 is odd would work.

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Originally posted by DavidTutorexamPAL on 21 Sep 2018, 01:02.
Last edited by DavidTutorexamPAL on 21 Sep 2018, 11:59, edited 2 times in total.
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Joined: 21 Jul 2012
Posts: 81
Re: If M£ is defined by M£ = M^2 − 2. What is the value of the positive in  [#permalink]

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21 Sep 2018, 01:11
1
DavidTutorexamPAL wrote:
Bunuel wrote:
If M£ is defined by M£ = M^2 − 2. What is the value of the positive integer M?

(1) 14 < M£ < 34
(2) M£ is an odd number

We'll simplify our expressions to understand our given data.
This is a Precise approach.

(1) 14 < M^2 - 2 < 34 --> 16 < M^2 < 36 --> 4 < M < 6 or -6 < M < -4
So M = 5 or M = -5, insufficient.

(2) This is clearly insufficient on its own: any number M such that M^2 - 2 is odd would work.

Combined: We still cannot separate M = 5 from M = -5, as both give M^2 - 2 = 23 which is odd.
Insufficient.

The Question is to find positive integer M.How E is the answer?It should be A.
Intern
Joined: 02 Jul 2018
Posts: 13
Re: If M£ is defined by M£ = M^2 − 2. What is the value of the positive in  [#permalink]

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21 Sep 2018, 01:27
Question says positive integer so the ans should be c

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Joined: 02 Jul 2018
Posts: 13
Re: If M£ is defined by M£ = M^2 − 2. What is the value of the positive in  [#permalink]

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21 Sep 2018, 01:28
Oh I correct myself , it should be A

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Joined: 07 Dec 2017
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Re: If M£ is defined by M£ = M^2 − 2. What is the value of the positive in  [#permalink]

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21 Sep 2018, 11:59
prashant6923 wrote:
DavidTutorexamPAL wrote:
Bunuel wrote:
If M£ is defined by M£ = M^2 − 2. What is the value of the positive integer M?

(1) 14 < M£ < 34
(2) M£ is an odd number

We'll simplify our expressions to understand our given data.
This is a Precise approach.

(1) 14 < M^2 - 2 < 34 --> 16 < M^2 < 36 --> 4 < M < 6 or -6 < M < -4
So M = 5 or M = -5, insufficient.

(2) This is clearly insufficient on its own: any number M such that M^2 - 2 is odd would work.

Combined: We still cannot separate M = 5 from M = -5, as both give M^2 - 2 = 23 which is odd.
Insufficient.

The Question is to find positive integer M.How E is the answer?It should be A.

You're right!
Fixed, thanks.
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Re: If M£ is defined by M£ = M^2 − 2. What is the value of the positive in &nbs [#permalink] 21 Sep 2018, 11:59
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