BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Inequalities

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Newbie | Next Rank: 10 Posts
Posts: 5
Joined: Thu Feb 25, 2010 4:28 am

Inequalities

by vishalranka » Thu Feb 25, 2010 10:06 pm
Can please someone tell me what will be the answers with explanation of the foll DS quests

Thank u

Is |v - x| < 8?
(1) v and x are integers.
(2) |v| = 4 and |x| = 6


If x and y are positive, is x3 > y?
(1) Sq rt x > y
(2) x > y


Is |x| < 1?
(1) |x + 1| = 2|x - 1|
(2) |x - 3| not equal to 0


If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d




OA - DECB
Last edited by vishalranka on Fri Feb 26, 2010 9:05 pm, edited 1 time in total.
Top
Source: — Data Sufficiency |
Master | Next Rank: 500 Posts
Posts: 194
Joined: Thu Jan 14, 2010 5:18 am
Thanked: 2 times

by girish3131 » Thu Feb 25, 2010 11:09 pm
EACB

Plz put OA

Thanks!
Top
User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Thu Feb 25, 2010 11:18 pm
vishalranka wrote:Can please someone tell me what will be the answers with explanation of the foll DS quests

Thank u

Is |v - x| < 8?
(1) v and x are integers.
(2) |v| = 4 and |x| = 6


If x and y are positive, is x^3 > y?
(1) Sq rt x > y
(2) x > y


Is |x| < 1?
(1) |x + 1| = 2|x - 1|
(2) |x - 3| not equal to 0


If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d
First of all Do not post multiple questions in one post - Defeats the purpose in terms of searchability
Second of all please search before you post - there is a lot of wisdom in these forums and the chances that someone else posted this question before you is high

2. https://www.beatthegmat.com/if-x-and-y-a ... 38860.html
Always borrow money from a pessimist, he doesn't expect to be paid back.
Top
Senior | Next Rank: 100 Posts
Posts: 40
Joined: Thu Mar 26, 2009 3:02 pm
Thanked: 3 times
GMAT Score:410

by Pedros » Fri Feb 26, 2010 7:41 am
Vishalranka , in the second question , is it 3X or x^3 ?


St 1) root x > y , squaring both sides : x>y^2

if x=2 , and y =1 Answer is Yes

if x = 1/2 and y = 1/3 the answer is NO . not sufficient

2nd statement could be proven insufficient by the same numbers.

we have two assumptions that satisfies both statemnts and gives an answer of a yes and a no. so E

Question 3 :

we have to test a +/- case here

|x+1| = 2 |x-1|

when |x+1| is positive : x+1 = 2x-2 so x = 3 , check for validity in the original equation , 3 is valid and the answer to the question is NO

when | x+1 | is -ve : x+1 = - [ 2 ( x-1 ) ] yields x = 1/3 , after checking for validity of the value , 1/3 is a valid value of x and the answer to the question stem is Yes

so St 1 : not sufficient

St ;2 obviously insufiecient on its own , eleminates one of the 2 values, it says that X = 3 +/- some value so X is not equal 3 ,

Both statements are needed to reach a conclusion that x = 1/3

C



Question 4:

Notice that a/b * c/d is the same as a/d * c/b

since every thing is positive we can rephrase as follows "


is a/d * c/b > c/b

divide both sides by the positive value of c/b : is a/d > 1 ?

multiply both sides by D:

finally : is A > D ?

St 1 : irrelevant

st 2 ; sufficient.

B
Top
User avatar
Legendary Member
Posts: 537
Joined: Sun Jul 19, 2009 7:15 am
Location: Nagpur , India
Thanked: 41 times
Followed by:1 members

by rockeyb » Fri Feb 26, 2010 8:51 am
My answers are EBAB what are the OA .
"Know thyself" and "Nothing in excess"
Top
Post new topic Post Reply
• Page 1 of 1