The Italian size of a suit jacket is N centimeters, where N

Question

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

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

Bunuel · Answer

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.

metallicafan · Answer

Bunuel, why do you assume that the answer must be expressed in inches?

EvaJager · Answer

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...

farful · Answer

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

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.

Lucky2783 · Answer

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

Abhishiek · Answer

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.

kungfury42 · Answer

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.

Posted from my mobile device

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The Italian size of a suit jacket is N centimeters, where N

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