Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43917

In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
03 Apr 2015, 04:05
Question Stats:
85% (01:23) correct 15% (01:14) wrong based on 241 sessions
HideShow timer Statistics



Senior Manager
Joined: 02 Mar 2012
Posts: 356

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
03 Apr 2015, 04:34
1
This post received KUDOS
is it B?
multiple of 2 always even so we need multiples of 5 ending with 0.
i see only one case in which the difference can be minimizd
5*8 +2*5=50 85=3



Retired Moderator
Joined: 06 Jul 2014
Posts: 1269
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33 GMAT 2: 740 Q50 V40

In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
03 Apr 2015, 04:38
Bunuel wrote: In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference between n and m?
A. 1 B. 3 C. 5 D. 7 E. 9
Kudos for a correct solution. We have equation 2n + 5m = 50 We have factor 2 in first number and we have factor 5 in second number. LCM(2, 5) = 10 So we can try some numbers and we should start from 5 because it will be less list than for 2 2 * 5 = 10 and n should be equal 20 4 * 5 = 20 and n should be equal 15 6 * 5 = 30 and n should be equal 10 8 * 5 = 40 and n should be equal 5 10 * 5 = 50 and n should be equal 0 third variant give us the mininal difference n  m = 10  6 = 4 And there is some mistake in my way of thinking because we don't have such answer ) If we change the task and will seek for difference between m and n than minimal result will be 8  5 = 3 And answer B
_________________
Simple way to always control time during the quant part. How to solve main idea questions without full understanding of RC. 660 (Q48, V33)  unpleasant surprise 740 (Q50, V40, IR3)  antidebrief
Last edited by Harley1980 on 05 Apr 2015, 00:11, edited 1 time in total.



Retired Moderator
Joined: 06 Jul 2014
Posts: 1269
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33 GMAT 2: 740 Q50 V40

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
03 Apr 2015, 04:39
hsbinfy wrote: is it B?
multiple of 2 always even so we need multiples of 5 ending with 0.
i see only one case in which the difference can be minimizd
5*8 +2*5=50 85=3 You've made final calculation as m  n But question asks about n  m
_________________
Simple way to always control time during the quant part. How to solve main idea questions without full understanding of RC. 660 (Q48, V33)  unpleasant surprise 740 (Q50, V40, IR3)  antidebrief



Retired Moderator
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 359

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
03 Apr 2015, 08:37
2
This post received KUDOS
1
This post was BOOKMARKED
Bunuel wrote: In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference between n and m?
A. 1 B. 3 C. 5 D. 7 E. 9
Kudos for a correct solution. 2n+5m=50 Now m will always be even. m 2 4 6 8 n 20 15 10 5 Lowest nm=3 Answer: B



Manager
Joined: 17 Mar 2014
Posts: 237
Location: India
Concentration: Operations, Strategy
GPA: 3.19
WE: Information Technology (Computer Software)

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
04 Apr 2015, 09:27
2n+5m=50 I put some values here , i put m=6 , so n=10 .. difference is 4 so options C,D,E are out. lets increase value of m now , let m=7 , but n is noninteger , let m=8 so n =5 .. differnce is 3. also looking at equation , differnce of 1 is not possible So answer is option B =3
_________________
Press +1 Kudos if you find this Post helpful



Current Student
Joined: 18 Oct 2014
Posts: 902
Location: United States
GPA: 3.98

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
04 Apr 2015, 23:40
I think answer is 'A' The question is asking the difference between n and m and NOT the difference between scores of n and m. 2n+5m=50 2*5+5*4=50 54=1 I hope i am thinking right. Please suggest
_________________
I welcome critical analysis of my post!! That will help me reach 700+



Intern
Joined: 14 Aug 2013
Posts: 2

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
04 Apr 2015, 23:58
2n+5m=50(n+m)
2n+5m=50n+50m
45m=48n so, the lowest difference will be 3 if you substitute 1 for m and n. Is it right way?
Thanks.



Retired Moderator
Joined: 06 Jul 2014
Posts: 1269
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33 GMAT 2: 740 Q50 V40

In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
05 Apr 2015, 00:02
Divyadisha wrote: I think answer is 'A'
The question is asking the difference between n and m and NOT the difference between scores of n and m.
2n+5m=50 2*5+5*4=50 54=1
I hope i am thinking right. Please suggest 2*5+5*4 is not equal to 50 2*5+5*4 = 30
_________________
Simple way to always control time during the quant part. How to solve main idea questions without full understanding of RC. 660 (Q48, V33)  unpleasant surprise 740 (Q50, V40, IR3)  antidebrief



Retired Moderator
Joined: 06 Jul 2014
Posts: 1269
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33 GMAT 2: 740 Q50 V40

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
05 Apr 2015, 00:07
Chimka wrote: 2n+5m=50(n+m)
2n+5m=50n+50m
45m=48n so, the lowest difference will be 3 if you substitute 1 for m and n. Is it right way?
Thanks. You make mistake in the first equation 2n+5m=50n+50m Tasks says that Quote: If n players score 2 points and m players score 5 points, and the total number of points scored is 50 so 2n + 5m = 50 points Your equation shows variant if each player score 50 points 50n + 50m scores
_________________
Simple way to always control time during the quant part. How to solve main idea questions without full understanding of RC. 660 (Q48, V33)  unpleasant surprise 740 (Q50, V40, IR3)  antidebrief



Manager
Joined: 26 Dec 2012
Posts: 148
Location: United States
Concentration: Technology, Social Entrepreneurship
WE: Information Technology (Computer Software)

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
05 Apr 2015, 00:07
2n+3m=50; least positive nm=?
1. 2.10+5.6=>nm=4 2. 2.5+5.8=>nm=3
Hence answer is B
Thanks,



Intern
Joined: 14 Aug 2013
Posts: 2

In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
05 Apr 2015, 00:13
Harley1980 wrote: Chimka wrote: 2n+5m=50(n+m)
2n+5m=50n+50m
45m=48n so, the lowest difference will be 3 if you substitute 1 for m and n. Is it right way?
Thanks. You make mistake in the first equation 2n+5m=50n+50m Tasks says that Quote: If n players score 2 points and m players score 5 points, and the total number of points scored is 50 so 2n + 5m = 50 points Your equation shows variant if each player score 50 points 50n + 50m scores you're right. Thanks. I got it now



Director
Joined: 21 May 2013
Posts: 581

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
05 Apr 2015, 00:52
Bunuel wrote: In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference between n and m?
A. 1 B. 3 C. 5 D. 7 E. 9
Kudos for a correct solution. Required equation is 2n+5m=50 Different combinations of n and m are 0,10 25,0 5,8 10,6 15,4 20,2 Least difference =85=3. Answer=B



Math Expert
Joined: 02 Sep 2009
Posts: 43917

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
06 Apr 2015, 05:40
Bunuel wrote: In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference between n and m?
A. 1 B. 3 C. 5 D. 7 E. 9
Kudos for a correct solution. KAPLAN OFFICIAL SOLUTION:The quickest solution is to pick numbers for n and m. Since n = 1 and m = 1 would amount to 7 points, and since we want to minimize the difference between n and m, and since 50/7 is just a bit more than 7, we'll start with values near 7. The key is to discover what values for n, when multiplied by 2 points, will leave a multiple of 5 as the remaining points. The solution turns out to be 5 for n (10 points), which allows for 8 for m (40 points). That's a total of 50 points, and the positive difference between the two values is only 3. Answer: B.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Senior Manager
Joined: 02 Dec 2014
Posts: 370
Location: Russian Federation
Concentration: General Management, Economics
WE: Sales (Telecommunications)

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
27 Apr 2015, 13:44
Harley1980 wrote: Bunuel wrote: In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference between n and m?
A. 1 B. 3 C. 5 D. 7 E. 9
Kudos for a correct solution. We have equation 2n + 5m = 50 We have factor 2 in first number and we have factor 5 in second number. LCM(2, 5) = 10 So we can try some numbers and we should start from 5 because it will be less list than for 2 2 * 5 = 10 and n should be equal 20 4 * 5 = 20 and n should be equal 15 6 * 5 = 30 and n should be equal 10 8 * 5 = 40 and n should be equal 5 10 * 5 = 50 and n should be equal 0 third variant give us the mininal difference n  m = 10  6 = 4 And there is some mistake in my way of thinking because we don't have such answer ) If we change the task and will seek for difference between m and n than minimal result will be 8  5 = 3 And answer B Yes i agree. Does it matter if the question asks about nm or mn? If about nm then answer should be 4. If about mn then 3. Please correct if i am wrong
_________________
"Are you gangsters?"  "No we are Russians!"



Manager
Joined: 21 Jun 2014
Posts: 143
Location: United States
Concentration: General Management, Strategy
GPA: 3.4
WE: Engineering (Computer Software)

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
27 Apr 2015, 17:24
If we create an equation then it will be 2n+5m=50 . It implies n=(505m)/2 so m is a multiple of 2 . Similarly m=(502n)/5 so n is a multiple of 5 .Minimum difference can be the case when n= 5 and m=2 so difference is 52=3. Note: Number of players is a integer ,so this approach will work fine.
_________________
Regards, Manish Khare "Every thing is fine at the end. If it is not fine ,then it is not the end "



Retired Moderator
Joined: 06 Jul 2014
Posts: 1269
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33 GMAT 2: 740 Q50 V40

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
27 Apr 2015, 23:04
1
This post received KUDOS
Konstantin1983 wrote: Yes i agree. Does it matter if the question asks about nm or mn? If about nm then answer should be 4. If about mn then 3. Please correct if i am wrong Hello Konstantin1983When we have such formulation "least possible positive difference between n and m" it means both variants \(m  n\) and \(n  m\) And yes, you are right: if question asks exactly about \(n  m\) than answer will be \(4\)
_________________
Simple way to always control time during the quant part. How to solve main idea questions without full understanding of RC. 660 (Q48, V33)  unpleasant surprise 740 (Q50, V40, IR3)  antidebrief



Senior Manager
Joined: 02 Dec 2014
Posts: 370
Location: Russian Federation
Concentration: General Management, Economics
WE: Sales (Telecommunications)

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
29 Apr 2015, 04:07
Harley1980 wrote: Konstantin1983 wrote: Yes i agree. Does it matter if the question asks about nm or mn? If about nm then answer should be 4. If about mn then 3. Please correct if i am wrong Hello Konstantin1983When we have such formulation "least possible positive difference between n and m" it means both variants \(m  n\) and \(n  m\) And yes, you are right: if question asks exactly about \(n  m\) than answer will be \(4\) Hello Harley1980! Thanks for reply. Valuable info. I didn't know that. It will help me. Дякую!=))
_________________
"Are you gangsters?"  "No we are Russians!"



Manager
Joined: 15 Mar 2015
Posts: 113

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
29 Apr 2015, 08:44
To fit the equation 2n+5m=50, 2n must be divisible by 10 and the same goes for 5m. For every 2n to be 10, it will take n=5,10,15,20 etc. For every 5m to be 10, it will take m=2,4,6,8 etc. I want to have more 5m's than 2n's and thus start trying with n=10 and m=6, giving me 4 as a difference. I try with n=5 and m=8 (and notice that at this point n is smaller than m and making n smaller further will result in a larger difference) and get the difference of 3. Which was the answer.
_________________
I love being wrong. An incorrect answer offers an extraordinary opportunity to improve.



Retired Moderator
Joined: 06 Jul 2014
Posts: 1269
Location: Ukraine
Concentration: Entrepreneurship, Technology
GMAT 1: 660 Q48 V33 GMAT 2: 740 Q50 V40

Re: In a certain game, each player scores either 2 points or 5 points. If [#permalink]
Show Tags
30 Apr 2015, 09:38
Konstantin1983 wrote: Harley1980 wrote: Konstantin1983 wrote: Yes i agree. Does it matter if the question asks about nm or mn? If about nm then answer should be 4. If about mn then 3. Please correct if i am wrong Hello Konstantin1983When we have such formulation "least possible positive difference between n and m" it means both variants \(m  n\) and \(n  m\) And yes, you are right: if question asks exactly about \(n  m\) than answer will be \(4\) Hello Harley1980! Thanks for reply. Valuable info. I didn't know that. It will help me. Дякую!=)) Hello Konstantin1983. I've found another task that exploit this trick with wording "difference between X and Y". Think it'll be interesting for you ) acertainsalesmansyearlyincomeisdeterminedbyabase126533.html
_________________
Simple way to always control time during the quant part. How to solve main idea questions without full understanding of RC. 660 (Q48, V33)  unpleasant surprise 740 (Q50, V40, IR3)  antidebrief




Re: In a certain game, each player scores either 2 points or 5 points. If
[#permalink]
30 Apr 2015, 09:38



Go to page
1 2
Next
[ 23 posts ]



