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M04-36

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M04-36  [#permalink]

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New post 15 Sep 2014, 23:24
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  55% (hard)

Question Stats:

66% (01:32) correct 34% (01:44) wrong based on 151 sessions

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One fisherman was telling his friends that he caught a fish that had a 60 feet long head and a tail which was equal to the length of the head plus half the length of the body. If the body was half the length of the whole fish, what is the length of the fish?

A. 120
B. 200
C. 240
D. 400
E. 480

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Re M04-36  [#permalink]

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New post 15 Sep 2014, 23:24
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Official Solution:

One fisherman was telling his friends that he caught a fish that had a 60 feet long head and a tail which was equal to the length of the head plus half the length of the body. If the body was half the length of the whole fish, what is the length of the fish?

A. 120
B. 200
C. 240
D. 400
E. 480


The fish has three parts: the head, body and tail: \(\text{head}+\text{body}+\text{tail}=\text{total length}\);

Say the length of the body is \(b\).

Now, since the body was half the size of the whole fish, then \(\text{total length}=2b\);

Next, since its tail equals to the length of the head plus half the length of the body then \(\text{tail}=60+0.5b\);

So we have that:

\(\text{head}+\text{body}+\text{tail}=\text{total length}\);

\(60+b+(60+0.5b)=2b\);

\(b=240\);

\(\text{total length}=2b=480\).


Answer: E
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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

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Re M04-36  [#permalink]

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New post 22 Jun 2018, 10:38
I think this is a high-quality question and I agree with explanation.
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Re: M04-36  [#permalink]

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New post 23 Oct 2018, 07:57
Bunuel
The Question says "60 feet long head and a tail : Length of the head + tail = 60 which is equals to Head + 1/2 Body
here: can you please explain how you got Tail= 60 + 0.5body
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Re: M04-36  [#permalink]

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New post 23 Oct 2018, 19:49
namanjain555 wrote:
Bunuel
The Question says "60 feet long head and a tail : Length of the head + tail = 60 which is equals to Head + 1/2 Body
here: can you please explain how you got Tail= 60 + 0.5body


The question says that tail equals to the length of the head plus half the length of the body then \(\text{tail}=60+0.5b\);
_________________

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.


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Re: M04-36 &nbs [#permalink] 23 Oct 2018, 19:49
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