A grocer stacked oranges in a pile. the bottom layer was rectangular with 3 rows of 5 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer and in the third layer each orange rested on 4 oranges from the second layer. Which of the following is the the maximum number of oranges that could have been in the third layer.
a. 5
b. 4
c. 3
d. 2
e. 1
OA C
how do i get the correct anwser
ps
This topic has expert replies
GMAT/MBA Expert
 [email protected]
 GMAT Instructor
 Posts: 3225
 Joined: 08 Jan 2008
 Location: Toronto
 Thanked: 1710 times
 Followed by:613 members
 GMAT Score:800
I'm guessing the quickest way is to draw it out. It took me about 20 seconds to draw the diagram and find the correct answer.baller12q wrote:A grocer stacked oranges in a pile. the bottom layer was rectangular with 3 rows of 5 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer and in the third layer each orange rested on 4 oranges from the second layer. Which of the following is the the maximum number of oranges that could have been in the third layer.
a. 5
b. 4
c. 3
d. 2
e. 1
OA C
how do i get the correct anwser
A good general rule to follow is that when you've got a word problem that translates into a picture, draw it out. Many test takers find that visual representations make questions much easier to handle.
Stuart Kovinsky  Kaplan GMAT Faculty  Toronto
Kaplan Exclusive: The Official Test Day Experience  Ready to Take a Free Practice Test?  Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course

 Master  Next Rank: 500 Posts
 Posts: 322
 Joined: 27 Mar 2009
 Thanked: 24 times
 GMAT Score:710
F = First row oranges
S = Second row oranges
T = third row oranges
F F F F F
S S S S
F F F F F
S S S S
F F F F F
Since the second row is
S S S S
T T T
S S S S
There are maximum of 3 T
Hope this helps
S = Second row oranges
T = third row oranges
F F F F F
S S S S
F F F F F
S S S S
F F F F F
Since the second row is
S S S S
T T T
S S S S
There are maximum of 3 T
Hope this helps

 Legendary Member
 Posts: 621
 Joined: 09 Apr 2008
 Thanked: 33 times
 Followed by:4 members
Could not find any way other than to draw a pic
First layer has 3 rows of 5 oranges each. Draw _ and a space for each orange in row 1.
Each orange in Second layer touches 4 oranges in 1st layer.
so max of 8 oranges. Draw squares connecting 4 _. This becomes ur 2nd row.
For third row, draw another set of squares which connect 4 squares from the 2nd layer. If u want u can choose to draw a rhombus or X to denote the connection.
Count the squares/X in 3d row. It will be 3.
Let me know if u can t picture this.
thanks
V
First layer has 3 rows of 5 oranges each. Draw _ and a space for each orange in row 1.
Each orange in Second layer touches 4 oranges in 1st layer.
so max of 8 oranges. Draw squares connecting 4 _. This becomes ur 2nd row.
For third row, draw another set of squares which connect 4 squares from the 2nd layer. If u want u can choose to draw a rhombus or X to denote the connection.
Count the squares/X in 3d row. It will be 3.
Let me know if u can t picture this.
thanks
V
GMAT/MBA Expert
 [email protected]
 GMAT Instructor
 Posts: 3225
 Joined: 08 Jan 2008
 Location: Toronto
 Thanked: 1710 times
 Followed by:613 members
 GMAT Score:800
Here's my diagram  fear my art skills!
 Attachments

 Scan001.PDF
 (9.25 KiB) Downloaded 60 times
Stuart Kovinsky  Kaplan GMAT Faculty  Toronto
Kaplan Exclusive: The Official Test Day Experience  Ready to Take a Free Practice Test?  Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course