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What is the maximum number of 1 1/ foot pieces of wire that

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the maximum number of \(1\frac{1}{4}\) foot pieces of wire that can be cut from a wire that is 24 feet long?

(A) 11
(B) 18
(C) 19
(D) 20
(E) 30

Problem Solving
Question: 46
Category: Arithmetic Operations on rational numbers
Page: 67
Difficulty: 550


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SOLUTION

What is the maximum number of \(1\frac{1}{4}\) foot pieces of wire that can be cut from a wire that is 24 feet long?

(A) 11
(B) 18
(C) 19
(D) 20
(E) 30

Divide 24 by \(1\frac{1}{4}=\frac{5}{4}\) and find the quotient as we need only the full \(1\frac{1}{4}\) foot pieces of wire.

\(\frac{24}{(\frac{5}{4})}=24*\frac{4}{5}=19.something\).

Answer: C.
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Re: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]

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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the maximum number of \(1\frac{1}{4}\) foot pieces of wire that can be cut from a wire that is 24 feet long?

(A) 11
(B) 18
(C) 19
(D) 20
(E) 30

Problem Solving
Question: 46
Category: Arithmetic Operations on rational numbers
Page: 67
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


total length of the wire=24 units
length of small pieces of wire =5/4 units
24/(5/4)=96/5=19.xyz
hence it is 19 pieces

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Re: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]

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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the maximum number of \(1\frac{1}{4}\) foot pieces of wire that can be cut from a wire that is 24 feet long?

(A) 11
(B) 18
(C) 19
(D) 20
(E) 30


1 1/4 is equal to 5/4

The number of wire pieces = Total length/ Lenth of one Piece = 24/(5/4) = (24*4)/5 = 96/5.


Now the nunber of pieces has to be an integer value and it cannot be more than 96/5 since we have run out of material. Can be only less. So rounding down 96/5 to an interger gives 95/5 = 19.

During the solution it would help to realize that 96/5 lies between 95/5 and 100/5 ie 19 < 96/5 < 20. Putting this in words : We ran out of material for the 20th piece, we have material enough for 19 pieces only.


I believe that this would be a 500-600 level question. It is relatively simple. The key here is that if you can get yourself to knock such questions out in a minute, you save the extra minute for a harder question to boost your score!
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Re: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]

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Bunuel wrote:
What is the maximum number of \(1\frac{1}{4}\) foot pieces of wire that can be cut from a wire that is 24 feet long?

(A) 11
(B) 18
(C) 19
(D) 20
(E) 30



\(1\frac{1}{4} =\frac{5}{4}\)

\(\rightarrow\frac{24}{\frac{5}{4}} = \frac{96}{5}=19.2\)

since they are only asking for the whole of 5/4 feet hence Answer is C
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New post 25 Jan 2014, 11:28
SOLUTION

What is the maximum number of \(1\frac{1}{4}\) foot pieces of wire that can be cut from a wire that is 24 feet long?

(A) 11
(B) 18
(C) 19
(D) 20
(E) 30

Divide 24 by \(1\frac{1}{4}=\frac{5}{4}\) and find the quotient as we need only the full \(1\frac{1}{4}\) foot pieces of wire.

\(\frac{24}{(\frac{5}{4})}=24*\frac{4}{5}=19.something\).

Answer: C.
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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: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]

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New post 03 Aug 2015, 04:15
we can make the division easier --> 24/(10/8) = (24*8)/10 = 192/10 =19,2 (C)
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Re: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]

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New post 03 Jul 2016, 13:41
we are asked to find number of 1 \(\frac{1}{4}\) ft pieces in 24 feet of wire

1 \(\frac{1}{4}\) ft = 1.25 feet

\(\frac{24}{1.25}\) = 19.2

so 19 pieces of length 1.25 feet can be cut from the the wire of length 24 feet
Correct Answer - C

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Re: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]

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New post 04 Jul 2016, 00:23
19

24*4/5

96/5=19.2

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Re: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]

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New post 21 Sep 2017, 02:21
the maximum number is the greatest integer less than or equal to the quotient when 24 feet is divided by 1 1/4 feet.
the quotient is 19.2, and the maximum number of 1 1/4 foot pieces is 19.
so,the best ans is C.

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Re: What is the maximum number of 1 1/ foot pieces of wire that   [#permalink] 21 Sep 2017, 02:21
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