BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Area sum

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 934
Joined: Tue Nov 09, 2010 5:16 am
Location: AAMCHI MUMBAI LOCAL
Thanked: 63 times
Followed by:14 members

Area sum

by [email protected] » Mon Jun 20, 2011 4:47 am
The Orloff Candy Company packs its cylindrical candy treats in a rectangular container. The height of the container is exactly equal to the height of each treat. How many treats can be packed into each container?

(1) The circumference of the treat is 2 inches.

(2) The area of a horizontal cross-section of the container is 100 inches.


According to me the answer is C. As the height of the cylinder and the height of the rectangular container is the same, then the formula would be:

= (L X B)/(Pie X r^2
if i m wrong please explain...



OA is E.....
[/quote]
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 am
Location: India
Thanked: 375 times
Followed by:53 members

by Frankenstein » Mon Jun 20, 2011 5:20 am
Hi,
1)You are ignoring the vacant space between cylinders. So, you cannot get the number by dividing areas.
2)We need to know the dimensions of the box in order to calculated the number of cylinders that can be fit.
For example:
if the diameter of circle is 4 units and the area is 100 units
If the dimensions of box is 25x4, 25 cylinders will fit.
If the dimensions of box is 10x10, only 20 cylinders will fit.
Cheers!

Things are not what they appear to be... nor are they otherwise
Top
Master | Next Rank: 500 Posts
Posts: 111
Joined: Tue Dec 30, 2008 1:25 pm
Location: USA
Thanked: 28 times
GMAT Score:770

by goalevan » Sun Jul 10, 2011 2:39 pm
It's easiest to think in extremes for this type of problem since no integer constraints are given.

1) The length and width of the box are not given. The box could be a mile wide or 2cm wide. Insufficient.

2) The size of the candies is not given. Their diameter could be 10 centimeters or 10 miles. Insufficient.

Combined) With a square base, the box would be 10 x 10 and could fit some quantity of candies. With a length of 0.00001, not even one candy would fit into the package. Insufficient.

FYI: if you wanted to calculate the number of candies that would fit into a square base, it would go as follows:

C = 2*pi*r = 2, so r = 1/pi and d = 2/pi

We could partition the box into 10 /(2/pi) = 5pi, or 15 rows (rounding down to nearest integer from ~15.7) and 15 columns. The number of partitions and thus candies would be 15 * 15 = 225.
Top
Post new topic Post Reply
• Page 1 of 1