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If some of the passengers of the boat Silver Trout board

Expert replies
by NandishSS » Tue Mar 21, 2017 5:27 am
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.

OA:C
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Tue Mar 21, 2017 5:52 am
NandishSS 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.

OA:C
Hi NandishSS,

What is the source of the question? It's not a GMAT type.

Say Silver Trout has x passengers and Lovely Mary has y passengers.

It's clear that each statement itself is not sufficient.

Let's combine them.

Now Silver Trout has x - 25% of x = 0.75x passengers

Now Lovely Mary has y + 50% of y = 1.5y passengers

=> 0.25x = 0.50y

=> x = 2y

Now Silver Trout has x - 25% of x = 0.75x = 0.75*2y = 1.5y passengers = number of passangers on Lovely Mary.

Both the boats have the same number of passengers.

The question is not drafted well.
It would be better, had the prompt were:

If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then does Lovely Mary boat have more passengers on it?
The correct answer: C; as per the above prompt!

Hope this helps!

Relevant book: Manhattan Review GMAT Data Sufficiency Guide

-Jay
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by NandishSS » Tue Mar 21, 2017 7:25 am
Jay@ManhattanReview wrote:
NandishSS 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.

OA:C
Hi NandishSS,

What is the source of the question? It's not a GMAT type.

Say Silver Trout has x passengers and Lovely Mary has y passengers.

It's clear that each statement itself is not sufficient.

Let's combine them.

Now Silver Trout has x - 25% of x = 0.75x passengers

Now Lovely Mary has y + 50% of y = 1.5y passengers

=> 0.25x = 0.50y

=> x = 2y

Now Silver Trout has x - 25% of x = 0.75x = 0.75*2y = 1.5y passengers = number of passangers on Lovely Mary.

Both the boats have the same number of passengers.

The question is not drafted well.
It would be better, had the prompt were:

If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then does Lovely Mary boat have more passengers on it?
The correct answer: C; as per the above prompt!

Hope this helps!

Relevant book: Manhattan Review GMAT Data Sufficiency Guide

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Warsaw | Cape Town | Madrid | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Hi Jay,

The Source is 800score :-).How to find GMAT type? Any Advice?

Thanks
Nandish
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by Jay@ManhattanReview » Tue Mar 21, 2017 9:56 pm
NandishSS wrote:
Jay@ManhattanReview wrote:
NandishSS 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.

OA:C
Hi NandishSS,

What is the source of the question? It's not a GMAT type.

Say Silver Trout has x passengers and Lovely Mary has y passengers.

It's clear that each statement itself is not sufficient.

Let's combine them.

Now Silver Trout has x - 25% of x = 0.75x passengers

Now Lovely Mary has y + 50% of y = 1.5y passengers

=> 0.25x = 0.50y

=> x = 2y

Now Silver Trout has x - 25% of x = 0.75x = 0.75*2y = 1.5y passengers = number of passangers on Lovely Mary.

Both the boats have the same number of passengers.

The question is not drafted well.
It would be better, had the prompt were:

If some of the passengers of the boat Silver Trout board the Lovely Mary instead, then does Lovely Mary boat have more passengers on it?
The correct answer: C; as per the above prompt!

Hope this helps!

Relevant book: Manhattan Review GMAT Data Sufficiency Guide

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Warsaw | Cape Town | Madrid | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Hi Jay,

The Source is 800score :-).How to find GMAT type? Any Advice?

Thanks
Nandish
Hi Nandish,

The phrase, 'then which boat will have more passengers on it?' suggests that it is 'What is the value' type of DS question. The answer
would be determinable if we are able to figure out which of the two boats have more passangers. However, it would be indeterminable if we cannot solve the equation(s) and thus cannot decide which of the two boats have more passangers.

Since in this question, the number of passangers are the same on the boats, we cannot truly answer the question, "which boat will have more passengers on it?" What to say?--Is it, "No boat has more passangers?" or "Both the boats have more passangers?" :)

Had the situation been: one boat had more passangers than the other, it would have been fine.

Hope this makes sense. :)

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Warsaw | Cape Town | Madrid | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Join the discussion

by Jeff@TargetTestPrep » Thu Mar 23, 2017 3:26 pm
NandishSS 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

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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