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

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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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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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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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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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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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01 Aug 2008, 11:43
Burro. Thanks for the clarification.
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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

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03 Aug 2008, 09:41
how do we conclude answer is 13 for Question 1.
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04 Aug 2008, 12:58
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
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