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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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Re: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]
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]
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]
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]
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]
The brackets and division\ are very confusing . I Read 1 \(\frac{1}{4}\) ft as 1/ frac (1/4) which equals 4, how to read the brackets and division signs correctly in these
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Re: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]
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Re: What is the maximum number of 1 1/ foot pieces of wire that [#permalink]
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