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# IS 7 < SQRT N < 8? 1) N>50 2) N<60

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Intern
Joined: 22 Dec 2009
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IS 7 < SQRT N < 8? 1) N>50 2) N<60 [#permalink]

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17 Aug 2010, 08:45
00:00

Difficulty:

35% (medium)

Question Stats:

74% (01:19) correct 26% (00:16) wrong based on 19 sessions

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IS 7 < SQRT N < 8?

1) N>50
2) N<60
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 33586
Followers: 5952

Kudos [?]: 73940 [0], given: 9904

Re: GMAT - PAPER TEST QUESTION [#permalink]

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17 Aug 2010, 08:54
Expert's post
cmugeria wrote:
IS 7 < SQRT N < 8?

1) N>50
2) N<60

Is $$7<\sqrt{n}<8$$ --> or is $$49<n<64$$.

(1) $$n>50$$. Not sufficient as $$n$$ can be more than 64.

(2) $$n<60$$. Not sufficient as $$n$$ can be less than 49.

(1)+(2) $$50<n<60$$. Sufficient.

Answer: C.
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Concentration: Marketing, General Management
WE: Business Development (Consumer Products)
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Re: GMAT - PAPER TEST QUESTION [#permalink]

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17 Aug 2010, 22:28
Consider 1)+2) we have (50;60) interval.

_______49__50_______60____64

But what to do with highlighted parts?
Virtually we are asked if 49<N<64?
we miss 2 intervals: (49;50) and (60;64)
Having (50;60) we can't say that (49;64) is true.
Looks like (E).
Math Expert
Joined: 02 Sep 2009
Posts: 33586
Followers: 5952

Kudos [?]: 73940 [0], given: 9904

Re: GMAT - PAPER TEST QUESTION [#permalink]

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18 Aug 2010, 04:19
Expert's post
ulm wrote:
Consider 1)+2) we have (50;60) interval.

_______49__50_______60____64

But what to do with highlighted parts?
Virtually we are asked if 49<N<64?
we miss 2 intervals: (49;50) and (60;64)
Having (50;60) we can't say that (49;64) is true.
Looks like (E).

OA for this question is C.

Question: is $$49<n<64$$? or is $$n$$ in the range (49,64), not inclusive.

(1)+(2) $$50<n<60$$ --> ANY $$n$$ (any number) from this range IS in the range (49,64), so the answer to the question "is $$49<n<64$$" is YES.

Hope it's clear.
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Re: GMAT - PAPER TEST QUESTION [#permalink]

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19 Aug 2010, 09:34
The more DS problems you practice, the easier it gets...

It's C here....
Re: GMAT - PAPER TEST QUESTION   [#permalink] 19 Aug 2010, 09:34
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# IS 7 < SQRT N < 8? 1) N>50 2) N<60

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