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

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IS 7 < SQRT N < 8? 1) N>50 2) N<60 [#permalink] New post 17 Aug 2010, 07:45
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C
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Question Stats:

71% (01:12) correct 29% (00:20) wrong based on 14 sessions
IS 7 < SQRT N < 8?

1) N>50
2) N<60
[Reveal] Spoiler: OA
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Re: GMAT - PAPER TEST QUESTION [#permalink] New post 17 Aug 2010, 07:54
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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Re: GMAT - PAPER TEST QUESTION [#permalink] New post 17 Aug 2010, 21:28
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).
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Re: GMAT - PAPER TEST QUESTION [#permalink] New post 18 Aug 2010, 03:19
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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: GMAT - PAPER TEST QUESTION [#permalink] New post 19 Aug 2010, 08:34
The more DS problems you practice, the easier it gets...

It's C here....
Re: GMAT - PAPER TEST QUESTION   [#permalink] 19 Aug 2010, 08:34
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