Register

CAT 2016 | Question: 98

• edited by
465 views
0 votes
0 votes

There are $12$ towns grouped into four zones with three towns per zone. It is intended to connect the towns with telephone lines such that every two towns are connected with three direct lines if they belong to the same zone, and with only one direct line otherwise. How many direct telephone lines are required?

  1. $72$
  2. $90$
  3. $96$
  4. $144$
• edited by
User Avatar

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

1 votes
1 votes
1 answer
1
go_editor asked Mar 11, 2020
491 views
CAT 2016 | Question: 91
A man has $9$ friends: $4$ boys and $5$ girls. In how many ways can he invite them, if there have to be exactly $3$ girls in the invitees ________
A man has $9$ friends: $4$ boys and $5$ girls. In how many ways can he invite them, if there have to be exactly $3$ girls in the invitees ________
1 votes
1 votes
1 answer
2
go_editor asked Mar 13, 2020
549 views
CAT 2017 Set-1 | Question: 98
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$ $20$ $14$ $15$
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$$...
0 votes
0 votes
0 answers
3
go_editor asked Mar 11, 2020
496 views
CAT 2016 | Question: 67
Direction for questions: Answer the questions based on the following information. In a locality, there are five small cities: $\text{A, B, C, D}$ and $\text{E}$ ... is to be set up within $3 \text{ km }$ of each city, how many ration shops will be required? $1$ $2$ $3$ $4$
Direction for questions: Answer the questions based on the following information.In a locality, there are five small cities: $\text{A, B, C, D}$ and $\text{E}$. The dista...
0 votes
0 votes
0 answers
4
go_editor asked Mar 11, 2020
517 views
CAT 2016 | Question: 68
A cube of side $12\; \text{cm}$ is painted red on all the faces and then cut into smaller cubes, each of side $3 \text{cm}$. What is the total number of smaller cubes having none of their faces painted _________
A cube of side $12\; \text{cm}$ is painted red on all the faces and then cut into smaller cubes, each of side $3 \text{cm}$. What is the total number of smaller cubes hav...
1 votes
1 votes
1 answer
5
go_editor asked Mar 11, 2020
710 views
CAT 2016 | Question: 69
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of $\angle \text{DEC}?$ $15^{\circ}$ $30^{\circ}$ $20^{\circ}$ $45^{\circ}$
If $\text{ABCD}$ is a square and $\text{BCE}$ is an equilateral triangle, what is the measure of $\angle \text{DEC}?$$15^{\circ}$$30^{\circ}$$20^{\circ}$$45^{\circ}$
Link Copied!