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

 It is currently 22 Jan 2020, 00:40 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # A telephone station has x processors, each of which can process a maxi

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 60560
A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

9
24 00:00

Difficulty:   25% (medium)

Question Stats: 75% (01:19) correct 25% (01:37) wrong based on 1433 sessions

### HideShow timer Statistics

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

Kudos for a correct solution.

_________________
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4219
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

13
Top Contributor
5
Bunuel 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

Kudos for a correct solution.

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, 2 processors can process 2y calls.
3 processors can process 3y calls....
And x processors can process xy calls.

We can write...
REPHRASED target question: Is xy ≥ 500?

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

RELATED VIDEO

_________________
Current Student Joined: 09 Nov 2014
Posts: 52
Concentration: Finance
GMAT 1: 760 Q51 V41
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

7
4
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?

Since we're looking for the number of calls the station can process, we are trying to find out if xy>500. Since the problem states (and even if they didn't, the specifics of the problem will also dictate) that x and y must be positive integers, we know x>=1, y>=1

(1) x = 600

If x is 600 and y is at least 1, then xy is at least 600.

SUFFICIENT

(2) 100 < y < 200

We know something about y and that x is at least 1, we know that the station can handle at least 100 calls but nothing else,

INSUFFICIENT

##### General Discussion
Manager  S
Joined: 13 Mar 2013
Posts: 156
Location: United States
GPA: 3.5
WE: Engineering (Telecommunications)
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

1
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

Kudos for a correct solution.

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.
there has to be relation between x and y . means at what is the max value/min value of x that will take care of max. value of y .

Unless this relation is given we wont be able to solve the question .

1 ) only value of x is given . No relation between x and y is given .
2) value of y given

Together also no new information .
hence E
_________________
Regards ,
Manager  Status: tough ... ? Naaahhh !!!!
Joined: 08 Sep 2015
Posts: 62
Location: India
Concentration: Marketing, Strategy
WE: Marketing (Computer Hardware)
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

1
Total processor: x, and each can process y calls...

(1) x = 600
600 processors can process 500 calls....sufficient
(2) 100 < y < 200
In this case, X can be 2,3,4,5, so yes/no....insufficient

Ans: A
Current Student B
Joined: 22 Apr 2016
Posts: 39
Location: France
GMAT 1: 760 Q49 V45
GPA: 3.73
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

1
Why is everyone assuming that Y is a decimal. Isn't it possible that y < 0 ?? Therefore, A being insufficient.
Senior Manager  B
Joined: 02 Dec 2014
Posts: 350
Location: Russian Federation
Concentration: General Management, Economics
GMAT 1: 640 Q44 V33
WE: Sales (Telecommunications)
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

nicoguillenb wrote:
Why is everyone assuming that Y is a decimal. Isn't it possible that y < 0 ?? Therefore, A being insufficient.

Number of processed calls should be integer. You can't process 1.5 call by each processor. Moreover, number of processed calls can't be negative. Hence A is correct
_________________
"Are you gangsters?" - "No we are Russians!"
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8437
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

There are 2 variables (x and y) in the original condition. In order to match the number of variables to the number of equations, we need 2 equations. Since the condition 1) and the condition 2) each has 1 equation, there is high chance that C is the correct answer. Using the condition 1) and 2) at the same time, the correct answer may be C.
However, since this is an integer question, one of key questions, we need to apply common mistake type 4(A). Then, using the condition 1), if x=600, xy=600>500 even if y is only 1. Hence, the answer is always yes and the condition is sufficient. Thus, the correct answer is A.
Attachments variable approach's answer probability.jpg [ 219.74 KiB | Viewed 15393 times ]

_________________
Manager  B
Joined: 23 Jun 2009
Posts: 173
Location: Brazil
GMAT 1: 470 Q30 V20
GMAT 2: 620 Q42 V33 Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

1
My two cents.

Hope it helps Attachments Screenshot_20160909-164649.jpg [ 755 KiB | Viewed 14598 times ]

Intern  B
Joined: 30 Jun 2019
Posts: 7
Location: United States
A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

X pro, each pro can handle <Y calls

1. Can 600 proc handle 500 calls? yes --> Sufficient.
2. 100<Y<200. - but how many X..? (X can be 1~99 = no; and.. X can be 700 = yes) --> inSufficient
Senior Manager  P
Joined: 12 Dec 2015
Posts: 474
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

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?
Given: x >=1 & y >=1
is xy >500?

(1) x = 600 --> sufficient: xy >= 600*1>500
(2) 100 < y < 200--> insufficient: we don't know anything about x. so xy can be > 500 or < 500
Intern  B
Joined: 01 Jul 2019
Posts: 18
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

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?
Given: x >=1 & y >=1
is xy >500?

(1) x = 600 --> sufficient: xy >= 600*1>500
(2) 100 < y < 200--> Insufficient: Not enough information about X. Xy can be > 500 or < 500

A!
Intern  B
Joined: 21 Aug 2018
Posts: 26
Location: France
Schools: Erasmus '20
GMAT 1: 470 Q28 V27
GPA: 2.8
Re: A telephone station has x processors, each of which can process a maxi  [#permalink]

### Show Tags

Straightforward question:

We have 500 calls that must be dealt by x processors, which can handle y calls at a time: the important data here is that BOTH X AND Y ARE POSITIVE INTEGERS SO AT LEAST EACH IS EQUAL TO 1!

That will make Statement 1 a piece of cake, since it is given that x=600 and that y must be at least 1: 600x1=600>500, statement is sufficient!

Statement 2 can fastly be thrown out as the information about y is not enough to answer such an information-needy statement (100<x<200). Don't forget, information is scarce and of the essence in Data Sufficiency!

Then, we can easily get Answer A after 40-55 seconds! ☺️ Re: A telephone station has x processors, each of which can process a maxi   [#permalink] 13 Sep 2019, 05:04
Display posts from previous: Sort by

# A telephone station has x processors, each of which can process a maxi  