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rthothad
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If w, x, y & z are non-negative integers, each less than 08 May 2005, 05:05
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If w, x, y & z are non-negative integers, each less than 3, and
w(3^3) + x(3^2) + y(3) + z = 34, then w + z =
A) 0
B) 1
C) 2
D) 3
E) 4



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rthothad
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If w, x, y & z are non-negative integers, each less than 08 May 2005, 08:32
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chunjuwu


(w,x,y,z) = (1,0,2,1)

w+z = 2

go for C
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Can you tell me how you came up with the numbers from the equation
w(3^3) + x(3^2) + y(3) + z = 34.
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ashkg
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If w, x, y & z are non-negative integers, each less than 08 May 2005, 08:56
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gmat2me2
rthothad
If w, x, y & z are non-negative integers, each less than 3, and
w(3^3) + x(3^2) + y(3) + z = 34, then w + z =
A) 0
B) 1
C) 2
D) 3
E) 4

x=3 y=2 z =1 w = 0

So w+z=1
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All the numbers are less than 3 so x is not = 3.

I got same answer as chun ....ie. C

Values possible for each variable is :
w x y z
0 0 0 0
1 1 1 1
2 2 2 2

w cant be 0 or 2, coz equation wont hold.
so w =1.

so 9x + 3y + z = 34-27 = 7

x cant take values of 1 and 2.......
so x =0

now 3y+z = 7
Only value solving this is y=2,z=1

So (w,x,y,z) = ( 1,0,2,1)

w+z = 2

[/b]
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MA
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If w, x, y & z are non-negative integers, each less than 08 May 2005, 09:18
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w(3^3) + x(3^2) + y(3) + z = 34.
27w+ 9x+ 3y+z = 34
21 (w=1)+9(x=0)+3(y=2)+1(z=1)=34
w+z=2
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gmat2me2
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If w, x, y & z are non-negative integers, each less than 08 May 2005, 09:24
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ashkg
gmat2me2
rthothad
If w, x, y & z are non-negative integers, each less than 3, and
w(3^3) + x(3^2) + y(3) + z = 34, then w + z =
A) 0
B) 1
C) 2
D) 3
E) 4

x=3 y=2 z =1 w = 0

So w+z=1

All the numbers are less than 3 so x is not = 3.

I got same answer as chun ....ie. C

Values possible for each variable is :
w x y z
0 0 0 0
1 1 1 1
2 2 2 2

w cant be 0 or 2, coz equation wont hold.
so w =1.

so 9x + 3y + z = 34-27 = 7

x cant take values of 1 and 2.......
so x =0

now 3y+z = 7
Only value solving this is y=2,z=1

So (w,x,y,z) = ( 1,0,2,1)

w+z = 2

[/b]
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Good catch.... :oops:



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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