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Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a

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Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink] New post 19 Mar 2012, 03:59
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:23) correct 31% (00:08) wrong based on 13 sessions
Is q^2 an odd integer?

(1) q is an odd integer.
(2) q^4 is an odd integer.

How come the answer will be A? For me it should be straight D or I am reading something wrong.
[Reveal] Spoiler: OA

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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink] New post 19 Mar 2012, 04:09
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Is q^2 an odd integer?

Notice that we are not told that q is an integer.

(1) q is an odd integer --> q^2 is odd. Sufficient.

(2) q^4 is an odd integer --> if \(q=odd\) then the answer would be YES, but if \(q=\sqrt[4]{3}\) then the answer would be NO, since \(q^2=\sqrt{3}\) is not an integer at all. Not sufficient.

Answer: A.

Hope it's clear.
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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink] New post 19 Mar 2012, 04:18
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Hope it helps.
_________________

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

PLEASE READ AND FOLLOW: 12 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 ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

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: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink] New post 19 Mar 2012, 20:01
Hi Bunuel,

q^4 is an odd integer --> if q=odd then the answer would be YES, but if q=\sqrt{3} then the answer would be NO, since \sqrt{3} is not an integer at all. Not sufficient.

My Question is if Q is equal to root 3 then Q square will be 3 which is odd. Which makes it sufficient to answer that Q square will be odd.

Please clarify.
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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a [#permalink] New post 19 Mar 2012, 22:31
Expert's post
vinayaerostar wrote:
Hi Bunuel,

q^4 is an odd integer --> if q=odd then the answer would be YES, but if q=\sqrt{3} then the answer would be NO, since \sqrt{3} is not an integer at all. Not sufficient.

My Question is if Q is equal to root 3 then Q square will be 3 which is odd. Which makes it sufficient to answer that Q square will be odd.

Please clarify.


There was a formatting error, it should be: " if \(q=\sqrt[4]{3}\) then the answer would be NO, since \(q^2=\sqrt{3}\) is not an integer at all".
_________________

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

PLEASE READ AND FOLLOW: 12 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 ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

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Re: Is q^2 an odd integer? (1) q is an odd integer (2) q^4 is a   [#permalink] 19 Mar 2012, 22:31
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