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Qs.1. A rectangular wooden crate has inside 3 dimensions, 3

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Qs.1. A rectangular wooden crate has inside 3 dimensions, 3 [#permalink] New post 31 Jul 2008, 18:32
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Qs.1. A rectangular wooden crate has inside 3 dimensions, 3 meters by 4 meters by 12 meters. What is the length in meters, of the longest, straight, inflexible rod of negligible diameter that can be placed completely within the crate?
A) 12
B) 12.6
C) 13
D) 19
E) 24

Qs.2. The average of x,y and z is 50. What is the sum of (4x+y), (3y+z), and (3z)?
A) 150
B) 200
C) 600
D) 800
E) Cannot be determined from given informaiton
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Re: Trap Questions [#permalink] New post 31 Jul 2008, 18:42
razkhan wrote:
Qs.1. A rectangular wooden crate has inside 3 dimensions, 3 meters by 4 meters by 12 meters. What is the length in meters, of the longest, straight, inflexible rod of negligible diameter that can be placed completely within the crate?
A) 12
B) 12.6
C) 13
D) 19
E) 24


I GUESS 13 WITHOUT CALCULATION..
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Re: Trap Questions [#permalink] New post 31 Jul 2008, 19:02
Agree on 1.

However, Qs.2 = B IMO

The sum of (4x+y), (3y+z), and (3z) = 4x+4y+4z = 4(x+y+z) = 4(50) = 200 or am I missing something obvious?
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Re: Trap Questions [#permalink] New post 31 Jul 2008, 19:36
asdert wrote:
Agree on 1.

However, Qs.2 = B IMO

The sum of (4x+y), (3y+z), and (3z) = 4x+4y+4z = 4(x+y+z) = 4(50) = 200 or am I missing something obvious?


The question says the average of x, y, and z is 50, so x+y+z=3*50 or 150. So it should be 4(150)=600
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Re: Trap Questions [#permalink] New post 01 Aug 2008, 00:41
asdert wrote:
Agree on 1.

However, Qs.2 = B IMO

The sum of (4x+y), (3y+z), and (3z) = 4x+4y+4z = 4(x+y+z) = 4(50) = 200 or am I missing something obvious?

Average of x,y and z is 50 means \frac{x+y+z}{3} = 50
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Re: Trap Questions [#permalink] New post 01 Aug 2008, 11:43
Burro. Thanks for the clarification.
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Re: Trap Questions [#permalink] New post 01 Aug 2008, 21:12
razkhan wrote:
Qs.1. A rectangular wooden crate has inside 3 dimensions, 3 meters by 4 meters by 12 meters. What is the length in meters, of the longest, straight, inflexible rod of negligible diameter that can be placed completely within the crate?
A) 12
B) 12.6
C) 13
D) 19
E) 24

Answer = 13 size of diagonal
Qs.2. The average of x,y and z is 50. What is the sum of (4x+y), (3y+z), and (3z)?
A) 150
B) 200
C) 600
D) 800
E) Cannot be determined from given informaiton


Answer = 600
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Re: Trap Questions [#permalink] New post 03 Aug 2008, 09:41
how do we conclude answer is 13 for Question 1.
Any elaborations please?
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Re: Trap Questions [#permalink] New post 04 Aug 2008, 12:58
razkhan wrote:
how do we conclude answer is 13 for Question 1.
Any elaborations please?



see the picture

you need to find d = sqrt(x^2 + l^2)
x=sqrt(h^2 + w^2)
= sqrt(3^2 + 4^2) =5
d= sqrt(5^2 + 12^2)
=13
Attachments

rectangular_solid.JPG
rectangular_solid.JPG [ 5.79 KiB | Viewed 2392 times ]


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Re: Trap Questions   [#permalink] 04 Aug 2008, 12:58
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