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The Italian size of a suit jacket is N centimeters, where N
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Bull78
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The Italian size of a suit jacket is N centimeters, where N [#permalink] New post  Updated on: 05 Aug 2012, 23:05
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The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacket, N = P + 10, which of the following is closest to the value of N? (One inch is approximately 2.54 centimeters.)

A. 36
B. 47
C. 58
D. 65
E. 72
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Originally posted by Bull78 on 05 Aug 2012, 21:05.
Last edited by Bunuel on 05 Aug 2012, 23:05, edited 1 time in total.
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Re: The Italian size of a suit jacket is N centimeters, where N [#permalink] New post  05 Aug 2012, 23:08
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Bull78 wrote:
The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacket, N = P + 10, which of the following is closest to the value of N? (One inch is approximately 2.54 centimeters.)

A. 36
B. 47
C. 58
D. 65
E. 72


Since one inch is approximately 2.54 centimeters, then N centimeters is N/2.54 inches.

Next, since the American size (P inches) is twice the Italian size (N/2.54 inches), then P=2*N/2.54.

As given that N = P + 10, then N=2*N/2.54+10 --> N=~47.

Answer: B.
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Re: The Italian size of a suit jacket is N centimeters, where N [#permalink] New post  25 Aug 2012, 00:54
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Bunuel, why do you assume that the answer must be expressed in inches?
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Re: The Italian size of a suit jacket is N centimeters, where N [#permalink] New post  25 Aug 2012, 05:05
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metallicafan wrote:
Bunuel, why do you assume that the answer must be expressed in inches?


P is given in inches. We can add only quantities with the same units, so in this case N and 10 must also represent quantities of inches.
I would say that the question is not well worded...
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Re: Italian Suits [#permalink] New post  11 Dec 2013, 08:15
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Quote:
N is the linear distance between the armpits.
2.5P is twice the linear distance between the armpits.


With this, we conclude that 2N = 2.5P or N = 2.5P/2 = 1.25P

Quote:
for a particular jacket, N = P + 10


Now we have two equations, and two variables.

N = P + 10
N = 1.25P

Subtract one from the other, and we get:

N-N = P + 10 - 1.25P
0 = 10 - .25P
.25P = 10
P = 40

Now substitute P = 40 into any of the two equations (such as N = P + 10), and we get N = 50.

Answer choice (B. 47) is the closest value to N = 50.
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Re: The Italian size of a suit jacket is N centimeters, where N [#permalink] New post  05 Mar 2015, 09:58
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Bunuel wrote:
Bull78 wrote:
The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacket, N = P + 10, which of the following is closest to the value of N? (One inch is approximately 2.54 centimeters.)

A. 36
B. 47
C. 58
D. 65
E. 72


Since one inch is approximately 2.54 centimeters, then N centimeters is N/2.54 inches.

Next, since the American size (P inches) is twice the Italian size (N/2.54 inches), then P=2*N/2.54.

As given that N = P + 10, then N=2*N/2.54+10 --> N=~47.

Answer: B.


Hi Bunuel ,
I think i got the same question at MGMAT Prep tests

The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits. The American size of a suit jacket is 2.5P centimeters, where 2.5P is twice the linear distance between the armpits. If, for a particular jacket, N = P + 10, which of the following is closest to the value of N?
where in this question it is mentioned that linear length between armpits of American Suit and Italian Suit are same and so we can equate N= 5/4 *P ?
Could you please suggest that Why are we assuming that this is the case ?

Thanks
Lucky
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Re: The Italian size of a suit jacket is N centimeters, where N [#permalink] New post  14 Nov 2017, 01:49
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metallicafan wrote:
Bunuel, why do you assume that the answer must be expressed in inches?


We are asked value of N, which is in cm. So we have to calculate in cm.

Let the distance b/w armpits be "d".
N = P + 10
d = 2d/2.54 + 10
0.212 d = 10
d = 47

B.
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Re: The Italian size of a suit jacket is N centimeters, where N [#permalink] New post  04 Mar 2022, 12:05
The American measurement of P inches is equivalent to P*2.54 centimetres

We further know that P*2.54 = 2*N as the P value calculation considered twice the armpit distance

With this we have N = 1.27*P

Plugging this into the relation we've been given

N = P + 10
1.27P = P + 10
0.27P = 10
P = 10/(0.27)

Therefore, N = (1.27)*(10)/(0.27)

We know that 0.27*4 = 1.08 and 0.27*5 = 1.35 and 1.27 lies between these two, hence answer must be between 40 and 50.

Only option B (47) satisfies, and is our answer.

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Re: The Italian size of a suit jacket is N centimeters, where N [#permalink]
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