Sep 21 07:00 AM PDT  09:00 AM PDT Learn reading strategies that can help even nonvoracious reader to master GMAT RC Sep 20 08:00 AM PDT  09:00 AM PDT Feeling perplexed by the paradox? Despairing the disparity? In this webinar, Hailey Cusimano explains how we can use strategy and structure to address premises that don't seem to align. Sept 20, Friday, 8am PST. Sep 22 08:00 PM PDT  09:00 PM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE Sep 23 08:00 AM PDT  09:00 AM PDT Join a free 1hour webinar and learn how to create the ultimate study plan, and be accepted to the upcoming Round 2 deadlines. Save your spot today! Monday, September 23rd at 8 AM PST
Author 
Message 
TAGS:

Hide Tags

eGMAT Representative
Joined: 04 Jan 2015
Posts: 3024

If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
30 Jun 2018, 11:07
Question Stats:
65% (01:51) correct 35% (02:10) wrong based on 328 sessions
HideShow timer Statistics
Question1 If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y? OptionsA. I only B. II only C. III only D. I and II E. II and III
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




eGMAT Representative
Joined: 04 Jan 2015
Posts: 3024

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
04 Jul 2018, 03:23
Solution Given:• x and y are positive integers • x + y = 2 To find:• From the given options, which one could be the value of 300x + 200y Approach and Working: We can rewrite the given expression 300x + 200y in the following manner: • 300x + 200y = 200x + 200y + 100x = 100x + 200 (x + y) = 100x + 200*2 = 100x + 400 Now, as x is positive, 100x > 0 • Hence, 400 + 100x > 400 Only one value is more than 400 (i.e. 533) Hence, the correct answer is option C. Answer: C
_________________




Senior Manager
Joined: 29 Dec 2017
Posts: 380
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33 GMAT 2: 690 Q47 V37 GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
30 Jun 2018, 15:16
300x+200y =200*(3x+2y)=200(2x+2y+x)=200(2+x)=400+200x  so the value will depend on x only
We are given that x and y are positive numbers such that x + y = 2
x will be min = 0.00..1 when y=1.99...9 x will be max = 1.99...9 when y=0.00..1
Obviously 400<400+200x<800 . Only 533 is in that range
Answer C. III only



Manager
Joined: 07 Feb 2017
Posts: 180

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
30 Jun 2018, 16:07
300x+200(2x) 400+100x x>0 Answer C. Greater than 400
Posted from my mobile device



VP
Joined: 31 Oct 2013
Posts: 1457
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
30 Jun 2018, 18:55
EgmatQuantExpert wrote: Question1 If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y? OptionsA. I only B. I only C. III only D. I and II E. II and III This question is designed based on weighted average method. This question can be solved easily following few steps. Given, 300x + 200y = \(\frac{600x + 400y}{2}\) =\(\frac{600x + 400y}{x+y}\) Now we know that weighted average value must be between 400 to 600 where x and y are their weights. 533 falls between 400 to 600. Only option match is C.



Manager
Status: Enjoying the Journey
Affiliations: ND
Joined: 26 Sep 2017
Posts: 114
WE: Marketing (Consulting)

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
01 Jul 2018, 12:15
both x & y are positive numbers meanwhile their sum equals to 2 Therefore, x&y could be (1,1)or (0,2) or (2,0) therefore 300x+200y= 300(1)+200(1)= 500 Or = 300(0)+200(2)= 400 Or = 300(2)+200(0)=600 Therefore, C is the correct answer, as all the answers are greater than 400
_________________
"it takes more time to fix a mistake than to avoid one""Giving kudos" is a decent way to say "Thanks" and motivate contributors. Please use them, it won't cost you anythingHigh achievement always takes place in the framework of high expectation Charles KetteringIf we chase perfection we can catch excellence Vince LombardiGMAT Club Live: 5 Principles for Fast Math: https://gmatclub.com/forum/gmatclublive5principlesforfastmath251028.html#p1940045YouTube sessions by GMATNinja: https://gmatclub.com/forum/verballivewithgmatninjascpronounsthatparallelism250568.html#p1936104The Best SC strategies  Amazing 4 videos by Veritas: https://gmatclub.com/forum/thebestscstrategiesamazing4videosbyveritas250377.html#p1934575



Intern
Joined: 04 Jun 2018
Posts: 24
Location: Viet Nam
Concentration: International Business, Operations
GMAT 1: 610 Q47 V27 GMAT 2: 620 Q46 V29
WE: Supply Chain Management (Internet and New Media)

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
02 Jul 2018, 07:59
x + y = 2 => x = 2y and y = 2x
x, y are positive numbers => \(0\leq{x}\) < 2 and \(0\leq{y}\) <2
300x+200y = 300(2y)+200y = 600100y. Because \(0\leq{y}\) <2 => 600100y < 600 (1)
300x+200y = 300x+200(2x)=400+100x. Because \(0\leq{x}\) => 400 + 100x > 400 (2)
Combine (1) and (2), the answer falls between 400 and 600, hence the correct answer is 533 (Option C)



Manager
Joined: 29 Sep 2017
Posts: 115
Location: United States

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
02 Jul 2018, 09:15
NDND wrote: both x & y are positive numbers meanwhile their sum equals to 2 Therefore, x&y could be (1,1)or (0,2) or (2,0)
therefore 300x+200y= 300(1)+200(1)= 500 Or = 300(0)+200(2)= 400 Or = 300(2)+200(0)=600
Therefore, C is the correct answer, as all the answers are greater than 400 IIRC, 0 is neither positive nor negative (it is however even) so you cannot set one of the variables to 0 as the stem states that x and y are positive numbers.
_________________
If this helped, please give kudos!



Manager
Status: Enjoying the Journey
Affiliations: ND
Joined: 26 Sep 2017
Posts: 114
WE: Marketing (Consulting)

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
03 Jul 2018, 11:31
strivingFor800 wrote: NDND wrote: both x & y are positive numbers meanwhile their sum equals to 2 Therefore, x&y could be (1,1)or (0,2) or (2,0)
therefore 300x+200y= 300(1)+200(1)= 500 Or = 300(0)+200(2)= 400 Or = 300(2)+200(0)=600
Therefore, C is the correct answer, as all the answers are greater than 400 IIRC, 0 is neither positive nor negative (it is however even) so you cannot set one of the variables to 0 as the stem states that x and y are positive numbers. I guess you are right, which means that the only option we have is (1,1), and this would save us at least half the time, right? Thanks for correcting me
_________________
"it takes more time to fix a mistake than to avoid one""Giving kudos" is a decent way to say "Thanks" and motivate contributors. Please use them, it won't cost you anythingHigh achievement always takes place in the framework of high expectation Charles KetteringIf we chase perfection we can catch excellence Vince LombardiGMAT Club Live: 5 Principles for Fast Math: https://gmatclub.com/forum/gmatclublive5principlesforfastmath251028.html#p1940045YouTube sessions by GMATNinja: https://gmatclub.com/forum/verballivewithgmatninjascpronounsthatparallelism250568.html#p1936104The Best SC strategies  Amazing 4 videos by Veritas: https://gmatclub.com/forum/thebestscstrategiesamazing4videosbyveritas250377.html#p1934575



Manager
Status: Enjoying the Journey
Affiliations: ND
Joined: 26 Sep 2017
Posts: 114
WE: Marketing (Consulting)

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
04 Jul 2018, 09:00
EgmatQuantExpert wrote: Solution Given:• x and y are positive integers • x + y = 2 To find:• From the given options, which one could be the value of 300x + 200y Approach and Working: We can rewrite the given expression 300x + 200y in the following manner: • 300x + 200y = 200x + 200y + 100x = 100x + 200 (x + y) = 100x + 200*2 = 100x + 400 Now, as x is positive, 100x > 0 • Hence, 400 + 100x > 400 Only one value is more than 400 (i.e. 533) Hence, the correct answer is option C. Answer: CThanks EgmatQuantExpert could you comment on the approach used on this post? https://gmatclub.com/forum/ifxandya ... l#p2088234 Is it ok? Thx
_________________
"it takes more time to fix a mistake than to avoid one""Giving kudos" is a decent way to say "Thanks" and motivate contributors. Please use them, it won't cost you anythingHigh achievement always takes place in the framework of high expectation Charles KetteringIf we chase perfection we can catch excellence Vince LombardiGMAT Club Live: 5 Principles for Fast Math: https://gmatclub.com/forum/gmatclublive5principlesforfastmath251028.html#p1940045YouTube sessions by GMATNinja: https://gmatclub.com/forum/verballivewithgmatninjascpronounsthatparallelism250568.html#p1936104The Best SC strategies  Amazing 4 videos by Veritas: https://gmatclub.com/forum/thebestscstrategiesamazing4videosbyveritas250377.html#p1934575



eGMAT Representative
Joined: 04 Jan 2015
Posts: 3024

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
05 Jul 2018, 04:23
NDND wrote: Thanks EgmatQuantExpert could you comment on the approach used on this post? https://gmatclub.com/forum/ifxandya ... l#p2088234 Is it ok? Thx Hey NDND, can you specify which solution you are referring to? The link you have provided somehow reverts back to the above post only.
_________________



Manager
Status: Enjoying the Journey
Affiliations: ND
Joined: 26 Sep 2017
Posts: 114
WE: Marketing (Consulting)

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
05 Jul 2018, 11:29
EgmatQuantExpert wrote: NDND wrote: Thanks EgmatQuantExpert could you comment on the approach used on this post? https://gmatclub.com/forum/ifxandya ... l#p2088234 Is it ok? Thx Hey NDND, can you specify which solution you are referring to? The link you have provided somehow reverts back to the above post only. Here you go: both x & y are positive numbers meanwhile their sum equals to 2 Therefore, x&y could be (1,1)or (0,2) or (2,0) therefore 300x+200y= 300(1)+200(1)= 500 Or = 300(0)+200(2)= 400 Or = 300(2)+200(0)=600 Therefore, C is the correct answer, as all the answers are greater than 400
_________________
"it takes more time to fix a mistake than to avoid one""Giving kudos" is a decent way to say "Thanks" and motivate contributors. Please use them, it won't cost you anythingHigh achievement always takes place in the framework of high expectation Charles KetteringIf we chase perfection we can catch excellence Vince LombardiGMAT Club Live: 5 Principles for Fast Math: https://gmatclub.com/forum/gmatclublive5principlesforfastmath251028.html#p1940045YouTube sessions by GMATNinja: https://gmatclub.com/forum/verballivewithgmatninjascpronounsthatparallelism250568.html#p1936104The Best SC strategies  Amazing 4 videos by Veritas: https://gmatclub.com/forum/thebestscstrategiesamazing4videosbyveritas250377.html#p1934575



eGMAT Representative
Joined: 04 Jan 2015
Posts: 3024

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
06 Jul 2018, 04:14
NDND wrote: Here you go:
both x & y are positive numbers meanwhile their sum equals to 2 Therefore, x&y could be (1,1)or (0,2) or (2,0)
therefore 300x+200y= 300(1)+200(1)= 500 Or = 300(0)+200(2)= 400 Or = 300(2)+200(0)=600
Therefore, C is the correct answer, as all the answers are greater than 400
Although the approach and final answer is absolutely correct, there is a very small error in the calculation part. In the question it was mentioned that both x and y are positive integers, hence they are always greater than 0. • Nonnegative integers (Whole Numbers) start from 0. • Positive integers (Natural Numbers) start from 1. As both x and y are positive integers, they can't be equal to 0, hence, the only possible case will be (1, 1). You have identified that also in one of your previous replies.
_________________



LBS Moderator
Joined: 04 Jun 2018
Posts: 634
Location: Germany
Concentration: General Management, Finance
GPA: 3.4
WE: Analyst (Transportation)

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
23 Jul 2018, 14:03
EgmatQuantExpert wrote: Question1 If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y? OptionsA. I only B. I onlyC. III only D. I and II E. II and III Good question, but could you adjust the answer choices to reflect different statements for A. & B.?
_________________



Intern
Joined: 08 Jul 2018
Posts: 25
Location: India
Concentration: General Management, Marketing
GPA: 4

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
23 Jul 2018, 15:40
You don't have to solve for x&y or even suppose values.
given: that x + y = 2, to find: possible values for 300x+200y?
Solution: 300x+200y = 100x + 200(x+y) = 100x + 200(2) = 100x + 400
Since x is a +ve value, so whatever it may be, it won't reduce the value of the equation from 400 in any case
So, any solution would have 2 be more than 400, which leaves us with just Option 3!



VP
Joined: 07 Dec 2014
Posts: 1233

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
23 Jul 2018, 22:01
EgmatQuantExpert wrote: Question1 If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y? OptionsA. I only B. I only C. III only D. I and II E. II and III if x+y=2, then 300x+300y=600 testing options: 1. subtracting 300x+200y=156, 100y=600156=444 y=4.44 NO, must be less than 2 2. subtracting 300x+200y=397, 100y=600397=203 y=2.03 NO, must be less than 2 subtracting 300x+200y=533, 100y=600533=67 y=.67 YES, less than 2 III only C



Intern
Joined: 06 Dec 2016
Posts: 24
Location: India
Concentration: Technology, Sustainability
WE: Engineering (Energy and Utilities)

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
23 Jul 2018, 23:34
Given, X+Y=2.................1) 300x+200Y=? Multiplying Eqn 1) with 2 , 200X+200Y=200x2=400..............2) Add another 100X to the equation derived. 300X+200Y=400+100X It is going to be greater than 400 since X is positive. Hence answer C.
_________________



Director
Joined: 27 May 2012
Posts: 852

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
17 Dec 2018, 06:41
EgmatQuantExpert wrote: Question1 If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y? OptionsA. I only B. I only C. III only D. I and II E. II and III Dear Moderator, Came across this question, if you see the answer choices , option A and B have the same choices , making it look awkward. Hope we can do something about it. Thank you.
_________________



Math Expert
Joined: 02 Sep 2009
Posts: 58142

Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
Show Tags
17 Dec 2018, 06:45
stne wrote: EgmatQuantExpert wrote: Question1 If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y? OptionsA. I only B. I only C. III only D. I and II E. II and III Dear Moderator, Came across this question, if you see the answer choices , option A and B have the same choices , making it look awkward. Hope we can do something about it. Thank you. _________________ Edited. Thank you.
_________________




Re: If x and y are positive numbers such that x + y = 2, then which of the
[#permalink]
17 Dec 2018, 06:45






