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# In a stack of boards at a lumber yard, the 20th board

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In a stack of boards at a lumber yard, the 20th board [#permalink]

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14 Nov 2006, 13:59
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45% (medium)

Question Stats:

53% (01:39) correct 47% (00:43) wrong based on 574 sessions

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In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?

A. 38
B. 36
C. 35
D. 34
E. 32
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Sep 2012, 05:12, edited 2 times in total.
OA added.
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14 Nov 2006, 14:32
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20th board from top is 15th (immediately below the 16th board) from bottom. Therefore, there are 14 more boards below the 20th board (from top).
Total number of boards = 34
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14 Nov 2006, 14:42
This is where I generally tend to make mistakes, hence I do it the manual way.
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15 Nov 2006, 06:57
16 th above 20th..

so 20th is 15th..there are 14 under that..total is 34
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21 Nov 2006, 16:12
Algebraically:
x-19=15
x=34
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Re: PS: Stack of boards [#permalink]

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22 Nov 2006, 00:10
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. how many boards are in the stack?

A) 38

B) 36

C) 35

D) 34

E) 32

123456789 10 11 12 13 14 15 16 17 18 19 20
16 15 14 13 .... 1

18+16=34
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Re: In a stack of boards at a lumber yard, the 20th board [#permalink]

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02 Sep 2012, 08:17
Guys,

Im confused with the phrase "immediately below 16 from the bottom". When you count something and you say immediately below something doesnt that it mean next number in the counting. In this example it will be 17th. How do you guys say it is 15th from the bottom?

Any clarification will help on Tuesday attempt.

Thanks
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Re: In a stack of boards at a lumber yard, the 20th board [#permalink]

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03 Sep 2012, 05:18
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vidhya16 wrote:
Guys,

Im confused with the phrase "immediately below 16 from the bottom". When you count something and you say immediately below something doesnt that it mean next number in the counting. In this example it will be 17th. How do you guys say it is 15th from the bottom?

Any clarification will help on Tuesday attempt.

Thanks

In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?

A. 38
B. 36
C. 35
D. 34
E. 32

There are some number of boards stacked.

20th board from the top is immediately below the 16th board from the bottom:

1
2
3
.
.
.
16
20 15
14
13
.
.
.
3
2
1

As you can see 20th board from the top is immediately below the 16th board from the bottom. The total number of boards 20(red)+14(blue)=34.

Answer: D.
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Re: In a stack of boards at a lumber yard, the 20th board [#permalink]

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04 Sep 2012, 03:52
20th from the top is 15th form the bottom, so there are 14 more boards below the first 20...which is 34 total.
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Re: In a stack of boards at a lumber yard, the 20th board [#permalink]

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29 Jan 2014, 09:27
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Re: In a stack of boards at a lumber yard, the 20th board [#permalink]

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19 Feb 2015, 09:02
We can actually quickly try it out with lesser number of planks.

Say 4th from the top is immediately below 3rd from the bottom.

-------------
-------------
-------------
-------------
-------------

Total number of planks = 4+3-2 = 5

This in fact would be the case with any plank. For example, 3rd from the top is below 4th from the bottom.

Total number of planks = 3+4-2 = 5

Here, 20th from the top is below 16th from the bottom
-> Total number of planks = 20+16-2 = 34
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Stack of boards [#permalink]

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18 Oct 2015, 09:29
In a Stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?
a. 38
b. 36
c. 35
d. 34
e. 32

Please support your answer with explanation.
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Re: In a stack of boards at a lumber yard, the 20th board [#permalink]

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18 Oct 2015, 09:38
novice12 wrote:
In a Stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?
a. 38
b. 36
c. 35
d. 34
e. 32

Please support your answer with explanation.

Merging topics. Please refer to the discussion above.

Also, please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Thank you.
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Re: In a stack of boards at a lumber yard, the 20th board [#permalink]

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18 Oct 2015, 12:18
novice12 wrote:
In a Stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?
a. 38
b. 36
c. 35
d. 34
e. 32

Please support your answer with explanation.

We need the 20th board, when we start counting from the top.
This board is immediately below the 16th board from the bottom. i.e. This is the 15th board from the bottom
Hence we have 14 more boards below this.

Total number of boards = 14(No. of boards below the one in consideration) + 20(No. of boards above the one in consideration) = 34 Option D
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Re: In a stack of boards at a lumber yard, the 20th board   [#permalink] 18 Oct 2015, 12:18
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# In a stack of boards at a lumber yard, the 20th board

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