Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 24 May 2013
Posts: 25
Concentration: Operations, General Management
WE: Engineering (Energy and Utilities)

If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
11 Jun 2014, 02:29
Question Stats:
66% (01:44) correct 34% (01:18) wrong based on 234 sessions
HideShow timer Statistics
If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then which boat will have more passengers on it? (1) The Silver Trout will have 25% fewer passengers than it currently has. (2) The Lovely Mary will have 50% more passengers than it currently has.
Official Answer and Stats are available only to registered users. Register/ Login.



Intern
Joined: 24 May 2013
Posts: 25
Concentration: Operations, General Management
WE: Engineering (Energy and Utilities)

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
11 Jun 2014, 02:42
X on boat S Y on boat L
I) X/4  i.e now, Y+X/4
Ans C II) Y+X/4 = 3Y/2
means X=2Y



Math Expert
Joined: 02 Sep 2009
Posts: 49968

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
11 Jun 2014, 02:42
If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then which boat will have more passengers on it?(1) The Silver Trout will have 25% fewer passengers than it currently has. Clearly insufficient. (2) The Lovely Mary will have 50% more passengers than it currently has. Clearly insufficient. (1)+(2) Say x passengers went from Silver Trout (ST) to Lovely Mary (LM). We know that this x is 1/4th of the total number of passengers on ST, thus originally there were 4x passengers. We also know that that x is 1/2 of the total number of passengers on LM, thus originally there were 2x passengers. After x left ST to LM, they'd have 3x passengers each. Sufficient. Answer: C. P.S. Not a GMAT type of questions: it's neither YES/NO nor a value question.
_________________
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



Intern
Joined: 16 Apr 2017
Posts: 45

If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
12 Aug 2017, 11:01
Bunuel wrote: If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then which boat will have more passengers on it?
(1) The Silver Trout will have 25% fewer passengers than it currently has. Clearly insufficient. (2) The Lovely Mary will have 50% more passengers than it currently has. Clearly insufficient.
(1)+(2) Say x passengers went from Silver Trout (ST) to Lovely Mary (LM). We know that this x is 1/4th of the total number of passengers on ST, thus originally there were 4x passengers. We also know that that x is 1/2 of the total number of passengers on LM, thus originally there were 2x passengers. After x left ST to LM, they'd have 3x passengers each. Sufficient.
Answer: C.
P.S. Not a GMAT type of questions: it's neither YES/NO nor a value question. 0.25*ST = 0.5 LM ===> ST/LM = 2/1 ===> therefore ST has more number of passengers after the change.But in your case they have equal number of passengers...what I am missing?
_________________
KUDOS please, if you like the post or if it helps



Manager
Joined: 12 Feb 2015
Posts: 56
Location: India
GPA: 3.84

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
19 Aug 2017, 09:24
Bunuel wrote: If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then which boat will have more passengers on it?
(1) The Silver Trout will have 25% fewer passengers than it currently has. Clearly insufficient. (2) The Lovely Mary will have 50% more passengers than it currently has. Clearly insufficient.
(1)+(2) Say x passengers went from Silver Trout (ST) to Lovely Mary (LM). We know that this x is 1/4th of the total number of passengers on ST, thus originally there were 4x passengers. We also know that that x is 1/2 of the total number of passengers on LM, thus originally there were 2x passengers. After x left ST to LM, they'd have 3x passengers each. Sufficient.
Answer: C.
P.S. Not a GMAT type of questions: it's neither YES/NO nor a value question. Suppose i consider 100 persons on ST initially,so this means now there are 75 persons.Now on LM if 100 persons are there then after 50% increase the result will be 150. On the contrary,if i consider 100 on ST so 75 left and 50 initially on LM then the result will be 75,so 75>75...NO What am i missing,...?



Math Expert
Joined: 02 Sep 2009
Posts: 49968

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
19 Aug 2017, 09:39
himanshukamra2711 wrote: Bunuel wrote: If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then which boat will have more passengers on it?
(1) The Silver Trout will have 25% fewer passengers than it currently has. Clearly insufficient. (2) The Lovely Mary will have 50% more passengers than it currently has. Clearly insufficient.
(1)+(2) Say x passengers went from Silver Trout (ST) to Lovely Mary (LM). We know that this x is 1/4th of the total number of passengers on ST, thus originally there were 4x passengers. We also know that that x is 1/2 of the total number of passengers on LM, thus originally there were 2x passengers. After x left ST to LM, they'd have 3x passengers each. Sufficient.
Answer: C.
P.S. Not a GMAT type of questions: it's neither YES/NO nor a value question. Suppose i consider 100 persons on ST initially,so this means now there are 75 persons.Now on LM if 100 persons are there then after 50% increase the result will be 150. On the contrary,if i consider 100 on ST so 75 left and 50 initially on LM then the result will be 75,so 75>75...NO What am i missing,...? You cannot consider both to have 100 passengers. If ST = 100, the 25% = 25. Now, this 25 (according to the second statement) should comprise 50% of LM, so LM = 50. So, if 25 board LM instead of ST each will have 75.
_________________
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: 29 Jun 2017
Posts: 474
GPA: 4
WE: Engineering (Transportation)

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
19 Aug 2017, 09:52
Ans is C let x members on boat Silver Trout and y on Lovely Mary. A is insufficient as it does not say anything about other boat and so AD ruled out B is insufficient as same reason above combine them 0.25x=.50y x=2y let straut has 10 member then mary will have 5 clearly this info is sufficient to judge which boat has max numbers of persons. C is the answer
_________________
Give Kudos for correct answer and/or if you like the solution.



Manager
Joined: 11 Feb 2017
Posts: 193

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
22 Aug 2017, 02:08
Bunuel wrote: himanshukamra2711 wrote: Bunuel wrote: If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then which boat will have more passengers on it?
(1) The Silver Trout will have 25% fewer passengers than it currently has. Clearly insufficient. (2) The Lovely Mary will have 50% more passengers than it currently has. Clearly insufficient.
(1)+(2) Say x passengers went from Silver Trout (ST) to Lovely Mary (LM). We know that this x is 1/4th of the total number of passengers on ST, thus originally there were 4x passengers. We also know that that x is 1/2 of the total number of passengers on LM, thus originally there were 2x passengers. After x left ST to LM, they'd have 3x passengers each. Sufficient.
Answer: C.
P.S. Not a GMAT type of questions: it's neither YES/NO nor a value question. I DONT GET IT I took an example and it doesnt give any answer If C is correct then Lets Assume 1) ST = 5000(Initially) LM = 500(Initially) Statement 1 ) will be 5000 25% of 5000 = 3750 on ST Statement 2 ) will be 500 + 50% of 500 = 750 on LM Hence ST wins 2) ST = 500(Initially) LM = 600(Initially) Statement 1 ) will be 500 25% of 500 = 375 on ST Statement 2 ) will be 600 + 50% of 600 = 900 on LM Hence LM wins Can u explain why this example doesnt hold? Am I missing something?



Math Expert
Joined: 02 Sep 2009
Posts: 49968

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
22 Aug 2017, 02:42
rocko911 wrote: Bunuel wrote: If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then which boat will have more passengers on it?
(1) The Silver Trout will have 25% fewer passengers than it currently has. Clearly insufficient. (2) The Lovely Mary will have 50% more passengers than it currently has. Clearly insufficient.
(1)+(2) Say x passengers went from Silver Trout (ST) to Lovely Mary (LM). We know that this x is 1/4th of the total number of passengers on ST, thus originally there were 4x passengers. We also know that that x is 1/2 of the total number of passengers on LM, thus originally there were 2x passengers. After x left ST to LM, they'd have 3x passengers each. Sufficient.
Answer: C.
P.S. Not a GMAT type of questions: it's neither YES/NO nor a value question. I DONT GET IT I took an example and it doesnt give any answer If C is correct then Lets Assume 1) ST = 5000(Initially) LM = 500(Initially) Statement 1 ) will be 5000 25% of 5000 = 3750 on ST Statement 2 ) will be 500 + 50% of 500 = 750 on LM Hence ST wins 2) ST = 500(Initially) LM = 600(Initially) Statement 1 ) will be 500 25% of 500 = 375 on ST Statement 2 ) will be 600 + 50% of 600 = 900 on LM Hence LM wins Can u explain why this example doesnt hold? Am I missing something? You cannot arbitrarily assume values for BOTH ST and LM. If you assume some value for ST it will define specific value for LM because 1/4 of ST = 1/2 of LM. Hope it's clear.
_________________
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



Manager
Joined: 11 Feb 2017
Posts: 193

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
22 Aug 2017, 02:48
Bunuel wrote: rocko911 wrote: Bunuel wrote: If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then which boat will have more passengers on it?
(1) The Silver Trout will have 25% fewer passengers than it currently has. Clearly insufficient. (2) The Lovely Mary will have 50% more passengers than it currently has. Clearly insufficient.
(1)+(2) Say x passengers went from Silver Trout (ST) to Lovely Mary (LM). We know that this x is 1/4th of the total number of passengers on ST, thus originally there were 4x passengers. We also know that that x is 1/2 of the total number of passengers on LM, thus originally there were 2x passengers. After x left ST to LM, they'd have 3x passengers each. Sufficient.
Answer: C.
P.S. Not a GMAT type of questions: it's neither YES/NO nor a value question. I DONT GET IT I took an example and it doesnt give any answer If C is correct then Lets Assume 1) ST = 5000(Initially) LM = 500(Initially) Statement 1 ) will be 5000 25% of 5000 = 3750 on ST Statement 2 ) will be 500 + 50% of 500 = 750 on LM Hence ST wins 2) ST = 500(Initially) LM = 600(Initially) Statement 1 ) will be 500 25% of 500 = 375 on ST Statement 2 ) will be 600 + 50% of 600 = 900 on LM Hence LM wins Can u explain why this example doesnt hold? Am I missing something? You cannot arbitrarily assume values for BOTH ST and LM. If you assume some value for ST it will define specific value for LM because 1/4 of ST = 1/2 of LM. Hope it's clear. Thanks but i hope i dont encounter such question



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
13 Dec 2017, 10:36
nidhi12 wrote: If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then which boat will have more passengers on it?
(1) The Silver Trout will have 25% fewer passengers than it currently has. (2) The Lovely Mary will have 50% more passengers than it currently has. We need to determine which boat, Silver Trout or Lovely Mary, will have more passengers if some of the passengers of the Silver Trout board the Lovely Mary instead. Statement One Alone: The Silver Trout will have 25% fewer passengers than it currently has. This means the Silver Trout will have 75% of the passengers it currently has; however, without knowing anything about the Lovely Mary, we can’t answer the question. Statement one alone is not sufficient. Statement Two Alone: The Lovely Mary will have 50% more passengers than it currently has. This means the Lovely Mary will have 150% of the passengers it currently has; however, without knowing anything about the Silver Trout, we can’t answer the question. Statement two alone is not sufficient. Statements One and Two Together: Let’s let S = the number of passengers the Silver Trout currently has and L = the number of passengers the Lovely Mary currently has. From both statements, we see that 0.25S = 0.50L since when 25% of the passengers on the Silver Trout board the Lovely Mary, the Lovely Mary gains 50% more passengers. Multiply both sides of the equation by 4 and we have S = 2L. Furthermore, if 25% of the passengers on the Silver Trout board the Lovely Mary instead, the Silver Trout will have 0.75S passengers and the Lovely Mary will have 1.5L passengers. However, since S = 2L, 0.75S = 0.75(2L) = 1.5L. We see that the Silver Trout will also have 1.5L passengers, which is the same number of passengers the Lovely Mary will have. Answer: C
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Intern
Joined: 10 Jun 2016
Posts: 49

Re: If some of the passengers of the boat Silver Trout board the
[#permalink]
Show Tags
24 Dec 2017, 13:05
Hello All, This is the way I understand A has 400 passengers and 25% left, so it has 300 B is now 50% more than early means 100 is 50% of it early count. So its early count was 200. Now it has 300 and both have same. Answer C
_________________
Thank You Very Much, CoolKl Success is the Journey from Knowing to Doing
A Kudo is a gesture, to express the effort helped. Thanks for your Kudos.




Re: If some of the passengers of the boat Silver Trout board the &nbs
[#permalink]
24 Dec 2017, 13:05






