|
Author |
Message |
|
TAGS:
|
|
|
Intern
Joined: 06 Nov 2009
Posts: 6
Followers: 0
Kudos [?]:
1
[0], given: 2
|
Question Stats:
83% (01:42) correct
16% (00:45) wrong based on 0 sessions
Dear All, Could you please help me on this one ? Here is the question : "If both the product and sum of four integers are even, which of the following could be the number of even integers in the group ?" Among the answers is "0", but it's a bad answer. I don't understand why and the explanation from the Kaplan is quite confusing for me. Please S.M.S (Save My Soul) ! Thanks ! Marc If both the products and sum of four integers are even, which of the following could be the number of even integers in the group? I. 0 II. 2 III. 4 a) I only b) II only c) III only d) II and III e) I, II, III
|
|
|
|
|
|
|
|
|
VP
Joined: 05 Mar 2008
Posts: 1489
Followers: 10
Kudos [?]:
164
[0], given: 31
|
Re: odd number/kaplan [#permalink]
 12 Nov 2009, 15:42
marcos4 wrote: Dear All, Could you please help me on this one ? Here is the question : "If both the product and sum of four integers are even, which of the following could be the number of even integers in the group ?" Among the answers is "0", but it's a bad answer. I don't understand why and the explanation from the Kaplan is quite confusing for me. Please S.M.S (Save My Soul) ! Thanks ! Marc post the question and answers..
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11628
Followers: 1802
Kudos [?]:
9611
[1] , given: 829
|
Re: odd number/kaplan [#permalink]
12 Nov 2009, 15:55
1
This post received
KUDOS
Welcome to the forum Marcos4. Edited your post. Added the original question as I had it in my database. Also moved the topic to the Problem Solving forum from DS forum. As for the question: If both the products and sum of four integers are even, which of the following could
be the number of even integers in the group?I. 0 II. 2 III. 4 a) I only b) II only c) III only d) II and III e) I, II, III a+b+c+d=even and a*b*c*d=even. For the sum of 4 integers to be even, group should contain 0, 2 or 4 even numbers. So possible scenarios are 0, 2, or 4 even numbers among 4. For the product of the integers to be even at least one of them should be even. So 1, 2, 3, or all 4 numbers from a,b,c,d should be even. If there is 0 even number among them, it means that all 4 integers are odd, the product of four odd integers is odd. Hence there can not be 0 even number. So possible scenarios are 1, 2, 3 or 4 even numbers among 4. Both conditions to be met: there can be 2 or 4 even numbers among 4. So the answer is D.
_________________
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
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. NEW!!!
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. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
VP
Joined: 05 Mar 2008
Posts: 1489
Followers: 10
Kudos [?]:
164
[0], given: 31
|
Re: odd number/kaplan [#permalink]
12 Nov 2009, 16:15
Bunuel wrote: Welcome to the forum Marcos4.
Edited your post. Added the original question as I had it in my database. Also moved the topic to the Problem Solving forum from DS forum.
As for the question:
a+b+c+d=even and a*b*c*d=even.
For the sum of 4 integers to be even, group should contain 0, 2 or 4 even numbers. So possible scenarios are 0, 2, or 4 even numbers among 4.
For the product of the integers to be even at least one of them should be even. So 1, 2, 3, or all 4 numbers from a,b,c,d should be even. If there is 0 even number among them, it means that all 4 integers are odd, the product of four odd integers is odd. Hence there can not be 0 even number. So possible scenarios are 1, 2, 3 or 4 even numbers among 4.
Both conditions to be met: there can be 2 or 4 even numbers among 4.
So the answer is D. thanks bunuel...yes, definitely d
|
|
|
|
|
|
Intern
Joined: 06 Nov 2009
Posts: 6
Followers: 0
Kudos [?]:
1
[0], given: 2
|
Re: odd number/kaplan [#permalink]
12 Nov 2009, 18:28
lagomez wrote: marcos4 wrote: Dear All, Could you please help me on this one ? Here is the question : "If both the product and sum of four integers are even, which of the following could be the number of even integers in the group ?" Among the answers is "0", but it's a bad answer. I don't understand why and the explanation from the Kaplan is quite confusing for me. Please S.M.S (Save My Soul) ! Thanks ! Marc post the question and answers.. I think I should have asked first, actually I don't know how editors like Kaplan react if you write the full question with the full answers from their book. So I tried to copy only part of it as a "sample" but it wasn't enough to be understood. Sorry ! Marc
|
|
|
|
|
|
|
Re: odd number/kaplan
[#permalink]
12 Nov 2009, 18:28
|
|
|
|
|
|
|
|
|
|
|
close
