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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]

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31 Jul 2008, 19:32
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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]

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31 Jul 2008, 19:42
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]

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31 Jul 2008, 20:02
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]

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31 Jul 2008, 20:36
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]

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01 Aug 2008, 01:41
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]

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01 Aug 2008, 12:43
Burro. Thanks for the clarification.
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Re: Trap Questions [#permalink]

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01 Aug 2008, 22:12
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

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Re: Trap Questions [#permalink]

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03 Aug 2008, 10:41
how do we conclude answer is 13 for Question 1.
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Re: Trap Questions [#permalink]

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04 Aug 2008, 13:58
razkhan wrote:
how do we conclude answer is 13 for Question 1.

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 [ 5.79 KiB | Viewed 6532 times ]

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Re: Trap Questions   [#permalink] 04 Aug 2008, 13:58
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# Qs.1. A rectangular wooden crate has inside 3 dimensions, 3

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