GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Aug 2018, 19:55

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If x and y are positive numbers, is x<y?

Author Message
TAGS:

### Hide Tags

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 1900
If x and y are positive numbers, is x<y?  [#permalink]

### Show Tags

30 Jun 2018, 11:47
00:00

Difficulty:

35% (medium)

Question Stats:

74% (01:49) correct 26% (01:13) wrong based on 43 sessions

### HideShow timer Statistics

Question-3

If x and y are positive numbers, is $$x<y$$?
1. $$\frac{(x+1)}{(y+1)}>\frac{x}{y}$$
2. $$\frac{(x-1)}{(y-1)} < \frac{(x+1)}{(y+1)}$$

Options

A. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statement (1) and (2) TOGETHER are NOT sufficient.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Intern
Joined: 14 Mar 2018
Posts: 2
Re: If x and y are positive numbers, is x<y?  [#permalink]

### Show Tags

30 Jun 2018, 20:37
imo d
case 1 : (x+1)*y>x*(y+1) xy+y > xy+x -> y>x , sufficient

case 2
(x-1)(y+1)< (x+1)(y-1) -> 2x<2y -> sufficient , hence D
Math Expert
Joined: 02 Aug 2009
Posts: 6555
If x and y are positive numbers, is x<y?  [#permalink]

### Show Tags

30 Jun 2018, 23:25
EgmatQuantExpert wrote:

Question-3

If x and y are positive numbers, is $$x<y$$?
1. $$\frac{(x+1)}{(y+1)}>\frac{x}{y}$$
2. $$\frac{(x-1)}{(y-1)} < \frac{(x+1)}{(y+1)}$$

TIPS for these question :-
1) x and y are positive numbers and x<y or fraction $$\frac{x}{y}<1$$
a) If you ADD same positive number to x and y, the fraction$$\frac{x+a}{y+a}>\frac{x}{y}$$
b) If you subtract same positive number from x and y, the fraction$$\frac{x-a}{y-a}<\frac{x}{y}$$
2) x and y are positive numbers and x>y or fraction $$\frac{x}{y}>1$$
a) If you ADD same positive number to x and y, the fraction$$\frac{x+a}{y+a}<\frac{x}{y}$$
b) If you subtract same positive number from x and y, the fraction$$\frac{x-a}{y-a}>\frac{x}{y}$$

let's see the choices

1. $$\frac{(x+1)}{(y+1)}>\frac{x}{y}$$
TIP 1a, x<y..
this so happens...because since x<y, any number will constitue as a larger % of smaller number, so numerator has a BIGGER % change
example 1 is 50% of 2 but 1 is only 33.33% of 3
suff

2. $$\frac{(x-1)}{(y-1)} < \frac{(x+1)}{(y+1)}$$
combination of tip 1a and 1b
x<y
suff

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

If x and y are positive numbers, is x<y? &nbs [#permalink] 30 Jun 2018, 23:25
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.