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

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Intern
Joined: 31 Jul 2008
Posts: 7
Qs.1. A rectangular wooden crate has inside 3 dimensions, 3  [#permalink]

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31 Jul 2008, 19:32
1
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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Joined: 29 Aug 2007
Posts: 2420
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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Senior Manager
Joined: 09 Oct 2007
Posts: 456
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?
Senior Manager
Joined: 06 Mar 2006
Posts: 474
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
Current Student
Joined: 12 Jun 2008
Posts: 286
Schools: INSEAD Class of July '10
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 $$\frac{x+y+z}{3} = 50$$
Senior Manager
Joined: 09 Oct 2007
Posts: 456
Re: Trap Questions  [#permalink]

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01 Aug 2008, 12:43
Burro. Thanks for the clarification.
VP
Joined: 17 Jun 2008
Posts: 1279
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

Answer = 600
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Intern
Joined: 31 Jul 2008
Posts: 7
Re: Trap Questions  [#permalink]

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03 Aug 2008, 10:41
how do we conclude answer is 13 for Question 1.
Any elaborations please?
SVP
Joined: 07 Nov 2007
Posts: 1728
Location: New York
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.
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

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Re: Trap Questions &nbs [#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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