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What is the value of positive integer x?

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

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New post 22 Apr 2017, 08:10
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

53% (01:22) correct 47% (01:24) wrong based on 108 sessions

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Kudos [?]: 128551 [1], given: 12180

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

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New post 22 Apr 2017, 08:28
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Bunuel wrote:
What is the value of positive integer x?

(1) x<45
(2) 45 is a factor of 4x^2



(1) clearly insuff

(2) x can be 45 or 90

combining we get x =15 or 3*5*2 =30 ( which is <45)

insuff

Ans E

Last edited by rohit8865 on 22 Apr 2017, 09:45, edited 1 time in total.

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

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New post 22 Apr 2017, 08:56
rohit8865 wrote:
Bunuel wrote:
What is the value of positive integer x?

(1) x<45
(2) 45 is a factor of 4x^2



(1) clearly insuff

(2) x can be 45 or 90

combining we get x =15(3*5 which is <45)

suff

Ans C


I think it's E
x could be 15 or 30, both <45

Is it?

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

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New post 22 Apr 2017, 09:06
rohit8865 wrote:
Bunuel wrote:
What is the value of positive integer x?

(1) x<45
(2) 45 is a factor of 4x^2



(1) clearly insuff

(2) x can be 45 or 90

combining we get x =15(3*5 which is <45)

suff

Ans C


What if x=30? It suffices both conditions A and B. Also it is the only value other than 15 which fits both criteria.

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

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New post 22 Apr 2017, 09:46
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Jargalan wrote:
rohit8865 wrote:
Bunuel wrote:
What is the value of positive integer x?

(1) x<45
(2) 45 is a factor of 4x^2



(1) clearly insuff

(2) x can be 45 or 90

combining we get x =15(3*5 which is <45)

suff

Ans C


I think it's E
x could be 15 or 30, both <45

Is it?



Yes of course
you are correct
post edited!!!!!

thanks

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

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New post 01 Aug 2017, 12:13
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How are we getting x=30 by combining both statements?

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

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New post 03 Aug 2017, 06:02
TheMastermind wrote:
How are we getting x=30 by combining both statements?


Hi TheMastermind ,

For 45 to be factor of 4x^2 , I need atleast two 3s and one 5 in 4x^2.

Now, this could be possible x = 15. Its square will give me what I want.

Similarly, x could be 30 , again its square will give me what I want. Since we have two possible values of x, answer is E.

Does that make sense?
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Re: What is the value of positive integer x?   [#permalink] 03 Aug 2017, 06:02
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