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If some of the passengers of the boat Silver Trout board the

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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.
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Re: If some of the passengers of the boat Silver Trout board the [#permalink]

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New post 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

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Re: If some of the passengers of the boat Silver Trout board the [#permalink]

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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.
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Re: If some of the passengers of the boat Silver Trout board the [#permalink]

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If some of the passengers of the boat Silver Trout board the [#permalink]

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New post 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?
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Re: If some of the passengers of the boat Silver Trout board the [#permalink]

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New post 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,...?

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Re: If some of the passengers of the boat Silver Trout board the [#permalink]

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New post 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.
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Re: If some of the passengers of the boat Silver Trout board the [#permalink]

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New post 19 Aug 2017, 09:52
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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
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Re: If some of the passengers of the boat Silver Trout board the [#permalink]

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New post 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?

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Re: If some of the passengers of the boat Silver Trout board the [#permalink]

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New post 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.
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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

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Re: If some of the passengers of the boat Silver Trout board the [#permalink]

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New post 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

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Re: If some of the passengers of the boat Silver Trout board the   [#permalink] 22 Aug 2017, 02:48
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