• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

A telephone station has x processors, each

tagged by: Brent@GMATPrepNow

This topic has 1 expert reply and 0 member replies
jjjinapinch Senior | Next Rank: 100 Posts
Joined
24 Jul 2017
Posted:
83 messages

A telephone station has x processors, each

Mon Aug 07, 2017 9:32 am
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls?
(1) x = 600
(2) 100 < y < 200

Official Guide question

Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
10757 messages
Followed by:
1212 members
Thanked:
5140 times
GMAT Score:
770
Mon Aug 07, 2017 9:56 am
jjjinapinch wrote:
A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls?
(1) x = 600
(2) 100 < y < 200

Official Guide question
Target question: Can the station process 500 calls?
This is a good candidate for rephrasing the target question.
Each INDIVIDUAL processor can process y calls.
So, x processors can process xy calls.
So....
REPHRASED target question: Is xy ≥ 500?

Aside: Here’s a video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100

Statement 1: x = 600
Since we're told that x and y are POSITIVE INTEGERS, the smallest possible value of y is 1
Even when y = 1, xy =(600)(1) = 600. So, the value of xy is AT LEAST 600.
In other words, xy ≥ 500
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: 100 < y < 200
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 1 and y = 101. in this case, xy = (1)(101) = 101. In other words, xy < 500
Case b: x = 10 and y = 101. in this case, xy = (10)(101) = 1010. In other words, xy ≥ 500
Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Cheers,
Brent

_________________
Brent Hanneson – Founder of GMATPrepNow.com
Use our video course along with

Check out the online reviews of our course

GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

Best Conversation Starters

1 Vincen 180 topics
2 lheiannie07 61 topics
3 Roland2rule 54 topics
4 ardz24 44 topics
5 VJesus12 14 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

155 posts
2 Rich.C@EMPOWERgma...

EMPOWERgmat

105 posts
3 GMATGuruNY

The Princeton Review Teacher

101 posts
4 Jay@ManhattanReview

Manhattan Review

82 posts
5 Matt@VeritasPrep

Veritas Prep

80 posts
See More Top Beat The GMAT Experts