Last visit was: 13 Dec 2024, 15:56 It is currently 13 Dec 2024, 15:56
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
Sajjad1994
User avatar
GRE Forum Moderator
Joined: 02 Nov 2016
Last visit: 13 Dec 2024
Posts: 14,154
Own Kudos:
Given Kudos: 5,905
GPA: 3.62
Products:
Posts: 14,154
Kudos: 41,603
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Businessconquerer
Joined: 17 Jul 2018
Last visit: 09 Dec 2024
Posts: 2,319
Own Kudos:
Given Kudos: 159
Products:
Posts: 2,319
Kudos: 1,064
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Kinshook
User avatar
GMAT Club Legend
Joined: 03 Jun 2019
Last visit: 13 Dec 2024
Posts: 5,423
Own Kudos:
Given Kudos: 161
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
GMAT 1: 690 Q50 V34
Posts: 5,423
Kudos: 4,599
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
warrior1991
Joined: 03 Mar 2017
Last visit: 03 Feb 2022
Posts: 579
Own Kudos:
Given Kudos: 596
Location: India
Concentration: Operations, Technology
Products:
Posts: 579
Kudos: 424
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Kinshook
SajjadAhmad
At an archeological ruins site, flat tile fragments are discovered that have a collective surface area of 298 square feet. If the area of each fragment is at least 15 square feet, what is the greatest number of fragments that could be present in the discovery?

A. 17

B. 18

C. 19

D. 20

E. 21

Given: At an archeological ruins site, flat tile fragments are discovered that have a collective surface area of 298 square feet.

Asked: If the area of each fragment is at least 15 square feet, what is the greatest number of fragments that could be present in the discovery?

298= 15*19+17

Greatest number of fragments that could e present in the discovery =19

IMO C

Posted from my mobile device


15*19 --> 285 .

Adding 17 more would go to 302. Please check.

It should be 15*18+28 in my opinion.

Answer should be 19.
User avatar
amarsinha
Joined: 20 Jul 2012
Last visit: 27 Jun 2024
Posts: 85
Own Kudos:
Given Kudos: 17
GMAT 1: 650 Q47 V33
GMAT 1: 650 Q47 V33
Posts: 85
Kudos: 40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SajjadAhmad
At an archeological ruins site, flat tile fragments are discovered that have a collective surface area of 298 square feet. If the area of each fragment is at least 15 square feet, what is the greatest number of fragments that could be present in the discovery?

A. 17

B. 18

C. 19

D. 20

E. 21

Collective surface area = 298 sq ft. So, the total no. of tiles has to be less than 20 as 15*20 = 300

To have greatest no. of tiles, the area of each tile has to be minimum. Lets take it as 15.

So for 19 tiles of area 15sq ft, the collective area will be 19*15 = 285. Extra area = 298-285 = 13 sq ft. But it is said that the minimum area of each tile has to be 15 sq ft. As 13 sq ft is smaller than 15. So, we cannot have 19 tiles of 15 sq ft. It has to be less.

For 18 tiles of area 15sq ft, the area of tiles fragments = 18*15 = 270. The extra area = 298 - 270 = 28 which is justified as 28 > 15.
So, in all 18 tiles with area of 15 and 1 tile with area of 28.
Total 19 tiles.
Ans. C.
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 13 Dec 2024
Posts: 19,869
Own Kudos:
Given Kudos: 288
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,869
Kudos: 24,290
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SajjadAhmad
At an archeological ruins site, flat tile fragments are discovered that have a collective surface area of 298 square feet. If the area of each fragment is at least 15 square feet, what is the greatest number of fragments that could be present in the discovery?

A. 17

B. 18

C. 19

D. 20

E. 21

Dividing 298 by 15, we have a quotient of 19 and some nonzero remainder. Thus, the largest number of fragments that could be present in the discovery is 19.

[Note: It can’t be 20 (or more) since 298/20 < 15, but the problem states “each fragment is at least 15 square feet.”]

Answer: C
Moderator:
Math Expert
97874 posts