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Is the integer k greater than 3 ?

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Joined: 10 Aug 2015
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Kudos [?]: 28 [0], given: 56

Is the integer k greater than 3 ? [#permalink]

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New post 14 Aug 2016, 17:23
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Question Stats:

74% (00:49) correct 26% (00:49) wrong based on 106 sessions

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Is the integer k greater than 3 ?

(1) The sum of -4 and k equals the square of an integer.

(2) k equals the square of an integer.
[Reveal] Spoiler: OA

Kudos [?]: 28 [0], given: 56

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Manager
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Joined: 04 Jan 2014
Posts: 120

Kudos [?]: 36 [1], given: 15

GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
Re: Is the integer k greater than 3 ? [#permalink]

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New post 14 Aug 2016, 19:19
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ramonguib wrote:
Is the integer k greater than 3 ?

(1) The sum of -4 and k equals the square of an integer.

(2) k equals the square of an integer.


St1: The sum of -4 and k equals the square of an integer.

Minimum value of a perfect square = 0.
-4 + k = 0
k = 4.
For the sum to be any other perfect square, k will always be greater than 4.
Sufficient.

St2: k equals the square of an integer.

Minimum value of a perfect square = 0.
k can be 0 or any other perfect square.
Not sufficient.

Answer (A).

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Re: Is the integer k greater than 3 ? [#permalink]

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New post 15 Aug 2016, 05:31
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1.
The square of an integer must be positive. K-4>0 => K>4. sufficient.

2.
K is the square of an integer. 0^2, 1^2 < 3 and the square of any integer larger or equal to 2 >3
Insufficient.

Answer should be A.

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Kudos [?]: 27 [1], given: 7

Manager
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Posts: 120

Kudos [?]: 36 [0], given: 15

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GMAT 3: 680 Q48 V35
Re: Is the integer k greater than 3 ? [#permalink]

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New post 15 Aug 2016, 18:13
MarkusKarl wrote:
1.
The square of an integer must be positive. K-4>0 => K>4. sufficient.

2.
K is the square of an integer. 0^2, 1^2 < 3 and the square of any integer larger or equal to 2 >3
Insufficient.

Answer should be A.

Posted from my mobile device


Hello MarkusKarl,

Your approach is correct.

May I suggest a quick clarification?

The square of an integer must be non-negative since 0 is also a square of an integer, 0. In fact, 0 is the minimum value of a perfect square.

Kudos [?]: 36 [0], given: 15

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Re: Is the integer k greater than 3 ? [#permalink]

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New post 15 Aug 2016, 23:07
Donnie84 wrote:
MarkusKarl wrote:
1.
The square of an integer must be positive. K-4>0 => K>4. sufficient.

2.
K is the square of an integer. 0^2, 1^2 < 3 and the square of any integer larger or equal to 2 >3
Insufficient.

Answer should be A.

Posted from my mobile device


Hello MarkusKarl,

Your approach is correct.

May I suggest a quick clarification?

The square of an integer must be non-negative since 0 is also a square of an integer, 0. In fact, 0 is the minimum value of a perfect square.


Ah, thanks! I keep forgetting which categories 0 is in. Its even and neither - or + right?

Posted from my mobile device
_________________

I love being wrong. An incorrect answer offers an extraordinary opportunity to improve.

Kudos [?]: 27 [0], given: 7

Manager
Manager
avatar
Joined: 04 Jan 2014
Posts: 120

Kudos [?]: 36 [0], given: 15

GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
Re: Is the integer k greater than 3 ? [#permalink]

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New post 16 Aug 2016, 19:13
MarkusKarl wrote:
Donnie84 wrote:
MarkusKarl wrote:
1.
The square of an integer must be positive. K-4>0 => K>4. sufficient.

2.
K is the square of an integer. 0^2, 1^2 < 3 and the square of any integer larger or equal to 2 >3
Insufficient.

Answer should be A.

Posted from my mobile device


Hello MarkusKarl,

Your approach is correct.

May I suggest a quick clarification?

The square of an integer must be non-negative since 0 is also a square of an integer, 0. In fact, 0 is the minimum value of a perfect square.


Ah, thanks! I keep forgetting which categories 0 is in. Its even and neither - or + right?

Posted from my mobile device


Indeed. 0 is even and neutral.

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Location: India
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Re: Is the integer k greater than 3 ? [#permalink]

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New post 06 Aug 2017, 05:28
ramonguib wrote:
Is the integer k greater than 3 ?

(1) The sum of -4 and k equals the square of an integer.

(2) k equals the square of an integer.


The problem looks very simple while solving here.
However while taking the GMAT PREP 6 I completely misunderstood the problem and got wrong answer....
Can someone post question links for similar kind of data sufficiency problem?
Thanks in advance........
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Re: Is the integer k greater than 3 ?   [#permalink] 06 Aug 2017, 05:28
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