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If A and B are positive integers, is the product AB even?

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If A and B are positive integers, is the product AB even? [#permalink] New post 03 Sep 2012, 05:06
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Re: If A and B are positive integers, is the product AB even? [#permalink] New post 03 Sep 2012, 05:06
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SOLUTION

If A and B are positive integers, is the product AB even?

Since A and B are integers, then in order the product AB to be even at least one of them must be even.

(1) The sum A + B is odd. A and B cannot both be odd, since odd+odd=even, so either A or B must be even. Sufficient.

(2) A is even. Sufficient.

Answer: D.
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Re: If A and B are positive integers, is the product AB even? [#permalink] New post 03 Sep 2012, 05:13
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If A and B are positive integers, is the product AB even?

(1) The sum A + B is odd.
(2) A is even.

Stat1:
Since A+B = odd implies that one number is even and other is odd so product of AB will be even in any case.

Stat2
A is even.
Since A is even and B is any positive integer so AB will be even in any case.

So, Answer will be D
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Expert Post
Math Expert
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Kudos [?]: 26271 [0], given: 2708

Re: If A and B are positive integers, is the product AB even? [#permalink] New post 07 Sep 2012, 04:36
Expert's post
SOLUTION

If A and B are positive integers, is the product AB even?

Since A and B are integers, then in order the product AB to be even at least one of them must be even.

(1) The sum A + B is odd. A and B cannot both be odd, since odd+odd=even, so either A or B must be even. Sufficient.

(2) A is even. Sufficient.

Answer: D.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

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: If A and B are positive integers, is the product AB even? [#permalink] New post 26 Jun 2014, 19:17
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Re: If A and B are positive integers, is the product AB even?   [#permalink] 26 Jun 2014, 19:17
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