In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

by Gmat_mission » Fri Aug 06, 2021 11:31 am

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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

Answer: D

Source: GMAT Prep

Source: Beat The GMAT — Problem Solving | Fri Aug 06, 2021 11:31 am

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Re: In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16

by Brent@GMATPrepNow » Fri Aug 06, 2021 4:36 pm

Gmat_mission wrote: ↑
Fri Aug 06, 2021 11:31 am
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

Answer: D

Source: GMAT Prep

Let's start from the bottom and work our way up:

We'll start with the 16th board counting from the bottom of the stack

Right BELOW that 16th board, we have a board that we'll call Larry.
So, Larry is the 15th board counting from the bottom of the stack.
So, starting from the bottom and working our way up to Larry, we have 15 boards so far.

Larry is the 20th board counting from the TOP of the stack
In other words, there are 19 boards ABOVE Larry.
So, including those 19 boards, we now have 34 boards in TOTAL.

Answer: D

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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