If a and b are each greater than x and y, which of the

Oldest

Best Reply

Author

Message

TAGS:

Senior Manager

Status: struggling with GMAT

Joined: 06 Dec 2012

Posts: 323

Location: Bangladesh

Concentration: Accounting

GMAT Date: 04-06-2013

GPA: 3.65

Followers: 5

Kudos [?]: 28 [0], given: 46

If a and b are each greater than x and y, which of the [#permalink]

24 Feb 2013, 12:16

00:00

Question Stats:

55% (01:37) correct

44% (00:56) wrong

based on 11 sessions

If a and b are each greater than x and y, which of the following must be true?

I. a + b > x + y
II. ab > xy
III. |a| + |b| > |x| + |y|

(A) I only
(B) II only
(C) I and II
(D) I and III
(E) I, II and III

Why is not answer d?

[Reveal] Spoiler: OA

GMAT Club team member

Joined: 02 Sep 2009

Posts: 11570

Followers: 1797

Kudos [?]: 9580 [2] , given: 826

Re: If a and b are each greater than x and y, which of the [#permalink]

24 Feb 2013, 12:30

This post received
KUDOS

If a and b are each greater than x and y, which of the following must be true?

I. a + b > x + y
II. ab > xy
III. |a| + |b| > |x| + |y|

(A) I only
(B) II only
(C) I and II
(D) I and III
(E) I, II and III

I. a + b > x + y. Since a and b are each greater than x and y, then the sum of a and b will also be greater than the sum of x and y.

II. ab > xy. Not necessarily true, consider a = b = 0 and x = y = -1 --> ab = 0 < 1 = xy.

III. |a| + |b| > |x| + |y|. Not necessarily true, consider a = b = 0 and x = y = -1 --> |a| + |b| = 0 < 2 = |x| + |y|.

Answer: A.

Hope its clear.
_________________

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

Intern

Joined: 24 Jan 2013

Posts: 3

Followers: 0

Kudos [?]: 2 [0], given: 0

Re: If a and b are each greater than x and y, which of the [#permalink]

25 Feb 2013, 07:43

Bunuel wrote:

Is this the only way - i mean hit and trial and then negate the options one by one. Aren't there chances of missing some exceptional combination and the method may turn out to be time consuming.....

Re: If a and b are each greater than x and y, which of the [#permalink] 25 Feb 2013, 07:43

	Similar topics	Author	Replies	Last post
Similar Topics:	If y is greater than 110 percent of x, is y greater than 75	asaf	5	23 Dec 2006, 11:01
	If y 3 and 3x/y is a prime integer greater than 2, which	prasannar	3	21 Mar 2008, 21:46
	If y 3 and 3x/y is a prime integer greater than 2, which	el1981	7	13 Apr 2008, 16:39
	Is x=y? 1) (x-y)= (x^2-y^2) 2) X and Y are each greater than	pmenon	5	05 Jan 2009, 19:20
	For each value of y greater than	danzig	1	27 Feb 2013, 11:14

If a and b are each greater than x and y, which of the

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

If a and b are each greater than x and y, which of the

If a and b are each greater than x and y, which of the

Main navigation

GMAT Resources

Partners

MBA Resources