Q: A grocer stocked orange in a pile. The bottom layer was a rectangular with 3 rows of 5 oranges each. If the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each oranges rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
a. 5
b. 4
c. 3
d. 2
e. 1
I do not understand how to start with problem. Please help me guys!
Maximum number!
This topic has expert replies
- smackmartine
- Legendary Member
- Posts: 516
- Joined: Fri Jul 31, 2009 3:22 pm
- Thanked: 112 times
- Followed by:13 members
IMO C
This a visualization problem and I had a lot of fun while drawing it :). The oranges in the third layer (blue) are the max # of oranges possible that satisfies the condition that they are rested on 4 oranges(green).
This a visualization problem and I had a lot of fun while drawing it :). The oranges in the third layer (blue) are the max # of oranges possible that satisfies the condition that they are rested on 4 oranges(green).
Smack is Back ...
It takes time and effort to explain, so if my comment helped you please press Thanks button
It takes time and effort to explain, so if my comment helped you please press Thanks button
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Another approach:Ahmed MS wrote:Q: A grocer stocked orange in a pile. The bottom layer was a rectangular with 3 rows of 5 oranges each. If the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each oranges rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
a. 5
b. 4
c. 3
d. 2
e. 1
I do not understand how to start with problem. Please help me guys!
The dimensions of the bottom layer are 3 oranges by 5 oranges, yielding 3*5 = 15 oranges.
With each subsequent layer, we lose 1 orange off each dimension.
Second layer is 2 by 4, yielding 2*4 = 8 oranges.
Third layer is 1 by 3, yielding 1*3 = 3 oranges.
The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3