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

 It is currently 21 Oct 2019, 17:04

### 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
Your Progress

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 a > 0 and b > 0, is 1/(a + b) < 1? (1) a/b = 2 (2) a + b > 1

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58396
If a > 0 and b > 0, is 1/(a + b) < 1? (1) a/b = 2 (2) a + b > 1  [#permalink]

### Show Tags

01 Nov 2018, 00:24
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:15) correct 32% (01:36) wrong based on 45 sessions

### HideShow timer Statistics

If a > 0 and b > 0, is 1/(a + b) < 1?

(1) a/b = 2

(2) a + b > 1

_________________
Senior PS Moderator
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 737
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
Re: If a > 0 and b > 0, is 1/(a + b) < 1? (1) a/b = 2 (2) a + b > 1  [#permalink]

### Show Tags

01 Nov 2018, 00:36
Bunuel wrote:
If a > 0 and b > 0, is 1/(a + b) < 1?

(1) a/b = 2

(2) a + b > 1

Lets try to simplify the question stem further.
1/(a+b) <1 ?

since, a > 0 & b > 0 , a+b>0... so we can cross-multiply by (a+b) without affecting the inequality question.

$$\frac{1}{(a+b)} * (a+b) < 1* (a+b)$$?
Or,
$$(a+b) >1$$?

This is our new question stem.

St 1. a/b = 2

a = 2b
Is a+b>1?
Is 2b+b>1?
Is 3b>1?
Is b>1/3 ? We do not know. Hence not sufficient.

St 2. a + b > 1 This is exactly our simplified question stem. Hence sufficient!

Hence Option (B) is our choice.

Best,
Gladi
_________________
Regards,
Gladi

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
Re: If a > 0 and b > 0, is 1/(a + b) < 1? (1) a/b = 2 (2) a + b > 1   [#permalink] 01 Nov 2018, 00:36
Display posts from previous: Sort by

# If a > 0 and b > 0, is 1/(a + b) < 1? (1) a/b = 2 (2) a + b > 1

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne