CLEAR
Toprankers-Info

+91 7676564400

Mobile App

Get it on Google Play
Discussions
Select Date
Tags:

Articles

Discussions
Submit Discussion
Shashank Shah

· started a discussion

· 1 Months ago

Please help anyone (Question: 292682.0 )

Can anyone tell me how did we solve after equating white tiles and red tiles..explanation is not satisfactory

Question:

A rectangular floor is fully covered with square tiles of identical size. The tiles on the edges are white and tiles in the interior are red. The number of white tiles is same as the number of red tiles. What is the possible value of number of tiles along on edge of the floor?

Options:
A)

10

B)

12

C)

14

D)

16

Solution:

Ans: (b)

  

Shashank Shah

· commented

· 1 Months ago

CAT 2005 question

Shashank Shah

· commented

· 1 Months ago

Let each square tile have side = 1 unit
Let the length of the rectangular floor be m units and the breadth be n units.
Number of red tiles = (m – 2)(n – 2)
Number of white tiles = mn − (m – 2)(n – 2)
Now, (m – 2)(n – 2) = mn − (m – 2)(n – 2)
∴ 2(mn – 2m – 2n + 4) − mn = 0
∴ mn – 4m – 4n + 8 = 0
∴ n(m – 4) – 4m = −8
∴ n = 4(m – 2)/(m – 4)
Now, consider options.
1. If m = 10, n = 32/6, which is not possible as n is an integer
2. If m = 12, n = 40/8 = 5, which is possible
3. If m = 14, n = 48/10, which is not possible as n is an integer
4. If m = 16, n = 56/12, which is not possible as n is an integer

Knowledge Expert

· commented

· 1 Months ago

Hi Student
please note that the number of white tiles and the red tiles is same. Rest explanation is easy to follow.
Regards
Team TopRankers
-logo
We at aim to provide most comprehensive content & test for practice which is carefully divided into various chapters and topics to help you focus on your weak areas.Our Practice mock test gives you unmatched analytics to help you realize your strong areas,time management and improvement areas.Our Short & Crisp notes on each topic will help you to quickly revise the topic along with the tips & tricks of the exams.
More About
-Info
-Info

Mobile App

Get it on Google Play
About Us Campus Ambassador Careers Contact Us Refund Policy

All Rights Reserved Top Rankers

User Policy
Disclaimer
Terms & Conditions