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In the table above, is z = 20q?

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In the table above, is z = 20q? [#permalink] New post 02 Nov 2010, 05:21
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (01:51) correct 36% (00:41) wrong based on 69 sessions
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In the table above, is z = 20q?

(1) q = 3
(2) Each value in the table other than q is equal to the sum of the value immediately above it in the table and the value immediately to its left in the table
[Reveal] Spoiler: OA
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Re: in the table [#permalink] New post 02 Nov 2010, 05:39
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anilnandyala wrote:
please some one explain this, thanks in advance


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In the table above, is z = 20q?

(1) q = 3 --> we don't know the relationship between the letters. Not sufficient.
(2) Each value in the table other than q is equal to the sum of the value immediately above it in the table and the value immediately to its left in the table --> we can express all letters below and to the right of q in terms of q and eventually we'll get z in terms of q and see whether z=20q is true. Sufficient.

Answer: B.

Just to illustrate:
Attachment:
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Re: in the table [#permalink] New post 02 Nov 2010, 05:38
1) q=3 tells us nothing about z. Insufficient.

2) From this, we have:

z=w+y
w+y = (t+v) + (v+x) = t+2v+x
t+2v+x = (q+s) + 2(s+u) + (u+q) = 2q + 3s + 3u
2q + 3s + 3u = 2q + 3(q+r) + 3(r+q) = 8q + 6r
8q + 6r = 8q + 6(q+q) = 20q

So z = 20q. Sufficient.
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Re: In the table above is z=20q? [#permalink] New post 29 Jun 2013, 07:01
How common are such questions on the GMAT and what's the difficulty level if this question shows up as Problem solving rather than DS?

Bunuel's approach is easier to digest :)
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Re: In the table above is z=20q?   [#permalink] 29 Jun 2013, 07:01
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