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

It is currently 16 Aug 2018, 03:37

Close

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If x and y are positive numbers such that x + y = 2, then which of the

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

Hide Tags

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1894
If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 30 Jun 2018, 11:07
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (01:32) correct 35% (01:47) wrong based on 162 sessions

HideShow timer Statistics

Question-1



If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y?
    1. 156
    2. 397
    3. 533

Options

A. I only
B. I only
C. III only
D. I and II
E. II and III

_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Senior Manager
Senior Manager
User avatar
G
Joined: 29 Dec 2017
Posts: 337
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GPA: 3.25
WE: Marketing (Telecommunications)
If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 30 Jun 2018, 15:16
2
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
_________________

I'm looking for a study buddy in NY, who is aiming at 700+. PM me.

Manager
Manager
User avatar
B
Joined: 07 Feb 2017
Posts: 167
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 30 Jun 2018, 16:07
1
1
300x+200(2-x)
400+100x
x>0
Answer C. Greater than 400

Posted from my mobile device
Senior Manager
Senior Manager
User avatar
G
Joined: 31 Oct 2013
Posts: 477
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

New post 30 Jun 2018, 18:55
1
EgmatQuantExpert wrote:

Question-1



If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y?
    1. 156
    2. 397
    3. 533

Options

A. 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
Manager
User avatar
G
Status: Enjoying the Journey
Affiliations: ND
Joined: 26 Sep 2017
Posts: 116
Schools: Rotman '21
WE: Marketing (Consulting)
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 01 Jul 2018, 12:15
1
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 anything

High achievement always takes place in the framework of high expectation Charles Kettering
If we chase perfection we can catch excellence Vince Lombardi

GMAT Club Live: 5 Principles for Fast Math: https://gmatclub.com/forum/gmat-club-live-5-principles-for-fast-math-251028.html#p1940045
YouTube sessions by GMATNinja: https://gmatclub.com/forum/verbal-live-with-gmat-ninja-sc-pronouns-that-parallelism-250568.html#p1936104
The Best SC strategies - Amazing 4 videos by Veritas: https://gmatclub.com/forum/the-best-sc-strategies-amazing-4-videos-by-veritas-250377.html#p1934575

Intern
Intern
avatar
B
Joined: 04 Jun 2018
Posts: 4
Location: Viet Nam
Concentration: International Business, Operations
WE: Supply Chain Management (Internet and New Media)
GMAT ToolKit User
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 02 Jul 2018, 07:59
1
x + y = 2 => x = 2-y and y = 2-x

x, y are positive numbers => \(0\leq{x}\) < 2 and \(0\leq{y}\) <2

300x+200y = 300(2-y)+200y = 600-100y. Because \(0\leq{y}\) <2 => 600-100y < 600 (1)

300x+200y = 300x+200(2-x)=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
Manager
avatar
S
Joined: 29 Sep 2017
Posts: 113
Location: United States
Concentration: Strategy, Leadership
GMAT 1: 720 Q49 V39
GPA: 3.3
WE: Consulting (Consulting)
GMAT ToolKit User Reviews Badge
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 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
Manager
User avatar
G
Status: Enjoying the Journey
Affiliations: ND
Joined: 26 Sep 2017
Posts: 116
Schools: Rotman '21
WE: Marketing (Consulting)
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 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 anything

High achievement always takes place in the framework of high expectation Charles Kettering
If we chase perfection we can catch excellence Vince Lombardi

GMAT Club Live: 5 Principles for Fast Math: https://gmatclub.com/forum/gmat-club-live-5-principles-for-fast-math-251028.html#p1940045
YouTube sessions by GMATNinja: https://gmatclub.com/forum/verbal-live-with-gmat-ninja-sc-pronouns-that-parallelism-250568.html#p1936104
The Best SC strategies - Amazing 4 videos by Veritas: https://gmatclub.com/forum/the-best-sc-strategies-amazing-4-videos-by-veritas-250377.html#p1934575

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1894
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 04 Jul 2018, 03:23
3
1

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
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Manager
Manager
User avatar
G
Status: Enjoying the Journey
Affiliations: ND
Joined: 26 Sep 2017
Posts: 116
Schools: Rotman '21
WE: Marketing (Consulting)
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 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: C


Thanks

EgmatQuantExpert could you comment on the approach used on this post? https://gmatclub.com/forum/if-x-and-y-a ... 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 anything

High achievement always takes place in the framework of high expectation Charles Kettering
If we chase perfection we can catch excellence Vince Lombardi

GMAT Club Live: 5 Principles for Fast Math: https://gmatclub.com/forum/gmat-club-live-5-principles-for-fast-math-251028.html#p1940045
YouTube sessions by GMATNinja: https://gmatclub.com/forum/verbal-live-with-gmat-ninja-sc-pronouns-that-parallelism-250568.html#p1936104
The Best SC strategies - Amazing 4 videos by Veritas: https://gmatclub.com/forum/the-best-sc-strategies-amazing-4-videos-by-veritas-250377.html#p1934575

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1894
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 05 Jul 2018, 04:23
1
NDND wrote:

Thanks

EgmatQuantExpert could you comment on the approach used on this post? https://gmatclub.com/forum/if-x-and-y-a ... 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.
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Manager
Manager
User avatar
G
Status: Enjoying the Journey
Affiliations: ND
Joined: 26 Sep 2017
Posts: 116
Schools: Rotman '21
WE: Marketing (Consulting)
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 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/if-x-and-y-a ... 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 anything

High achievement always takes place in the framework of high expectation Charles Kettering
If we chase perfection we can catch excellence Vince Lombardi

GMAT Club Live: 5 Principles for Fast Math: https://gmatclub.com/forum/gmat-club-live-5-principles-for-fast-math-251028.html#p1940045
YouTube sessions by GMATNinja: https://gmatclub.com/forum/verbal-live-with-gmat-ninja-sc-pronouns-that-parallelism-250568.html#p1936104
The Best SC strategies - Amazing 4 videos by Veritas: https://gmatclub.com/forum/the-best-sc-strategies-amazing-4-videos-by-veritas-250377.html#p1934575

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1894
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 06 Jul 2018, 04:14
1
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.

    • Non-negative 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. :-)
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Manager
Manager
User avatar
G
Joined: 04 Jun 2018
Posts: 154
Location: Germany
Concentration: General Management, Finance
GPA: 3.6
WE: Analyst (Transportation)
Reviews Badge CAT Tests
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 23 Jul 2018, 14:03
EgmatQuantExpert wrote:

Question-1



If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y?
    1. 156
    2. 397
    3. 533

Options

A. I only
B. I only

C. 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.? :)
_________________

A couple of things that helped me in verbal:
https://gmatclub.com/forum/verbal-strategies-268700.html#p2082192

Gmat Prep CAT #1: V42, Q34, 630
Gmat Prep CAT #2: V46, Q35, 660
Gmat Prep CAT #3: V41, Q42, 680

On the mission to improve my quant score, all help is appreciated! :)

Intern
Intern
avatar
B
Joined: 08 Jul 2018
Posts: 9
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 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
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1066
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 23 Jul 2018, 22:01
EgmatQuantExpert wrote:

Question-1



If x and y are positive numbers such that x + y = 2, then which of the following could be the value of 300x+200y?
    1. 156
    2. 397
    3. 533

Options

A. 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=600-156=444
y=4.44 NO, must be less than 2
2. subtracting 300x+200y=397,
100y=600-397=203
y=2.03 NO, must be less than 2
subtracting 300x+200y=533,
100y=600-533=67
y=.67 YES, less than 2
III only
C
Intern
Intern
User avatar
B
Joined: 06 Dec 2016
Posts: 14
Location: India
Concentration: Technology, Sustainability
WE: Engineering (Energy and Utilities)
CAT Tests
Re: If x and y are positive numbers such that x + y = 2, then which of the  [#permalink]

Show Tags

New post 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.
_________________

War with the clock!

Re: If x and y are positive numbers such that x + y = 2, then which of the &nbs [#permalink] 23 Jul 2018, 23:34
Display posts from previous: Sort by

If x and y are positive numbers such that x + y = 2, then which of the

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.