GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 24 Jan 2020, 18:15

### 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 p + q = 400 and p < q, is (p + q) < (r + s) ? (1) p + r + s = 600

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 60647
If p + q = 400 and p < q, is (p + q) < (r + s) ? (1) p + r + s = 600  [#permalink]

### Show Tags

04 Nov 2019, 02:45
00:00

Difficulty:

45% (medium)

Question Stats:

63% (02:17) correct 37% (01:59) wrong based on 41 sessions

### HideShow timer Statistics

If $$p + q = 400$$ and $$p < q$$, is $$(p + q) < (r + s)$$ ?

(1) $$p + r + s = 600$$

(2) $$q + r > 400$$

Are You Up For the Challenge: 700 Level Questions

_________________
Senior Manager
Joined: 25 Jul 2018
Posts: 482
Re: If p + q = 400 and p < q, is (p + q) < (r + s) ? (1) p + r + s = 600  [#permalink]

### Show Tags

04 Nov 2019, 03:01
p+q = 400
p < q

(—> q= 400– p
p < 400 —p
2p < 400
p < 200)

Is (p+q) < (r+s)?
—> r+s > 400 ???

(Statement1): p+r+s = 600
—> p cannot be 200. It is less than 200. (p< 200)
—> r+s > 400
Sufficient

(Statement2)
q+ r> 400
—> No info about what r and s are
Insuffient

The answer is A.

Posted from my mobile device
Intern
Joined: 14 Apr 2019
Posts: 1
Re: If p + q = 400 and p < q, is (p + q) < (r + s) ? (1) p + r + s = 600  [#permalink]

### Show Tags

04 Nov 2019, 03:12
Given - p+q = 400

Assume, p = q, then p=q= 200

but given that p < q, therefore, p < 200

Statement 1 : p + r + s = 600

if p = 200, then r + s = 400. Thus, as p < 200, r + s > 400

therefore, p+q < r+s

A is sufficient

statement 2: there is no information about s.
Therefore Ans is A.
Re: If p + q = 400 and p < q, is (p + q) < (r + s) ? (1) p + r + s = 600   [#permalink] 04 Nov 2019, 03:12
Display posts from previous: Sort by

# If p + q = 400 and p < q, is (p + q) < (r + s) ? (1) p + r + s = 600

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

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