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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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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?

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

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?

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?

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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This post received KUDOS

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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 2015 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.

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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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

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

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18 Oct 2015, 09:38

Expert's post

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.

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

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18 Oct 2015, 12:18

Expert's post

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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