Register

CAT 2004 | Question: 42

• edited by
954 views
0 votes
0 votes

$\text{N}$ persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two minute song one pair after the other. If the total time taken for singing is $28$ minutes then what is $\text{N}?$

  1. $5$
  2. $7$
  3. $9$
  4. None of these
• edited by
User Avatar

1 Answer

0 votes
0 votes
n*(n-3)// as the person next to him on both sides in circle must be his real partner and it is counted twice so divide it by 2
so n*(n-3)/2

n*(n-3)/2*2=28

n=7
User Avatar
Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

0 votes
0 votes
0 answers
1
go_editor asked Jan 13, 2016
410 views
CAT 2004 | Question: 67
The remainder, when $(15^{23} + 23^{23})$ is divided by $19,$ is $4$ $15$ $0$ $18$
The remainder, when $(15^{23} + 23^{23})$ is divided by $19,$ is$4$$15$$0$$18$
0 votes
0 votes
1 answer
2
go_editor asked Jan 12, 2016
1,423 views
CAT 2004 | Question: 53
Each family in a locality has at most two adults, and no family has fewer than three children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of family in the locality is $4$ $5$ $2$ $3$
Each family in a locality has at most two adults, and no family has fewer than three children. Considering all the families together, there are more adults than boys, mor...
0 votes
0 votes
1 answer
3
go_editor asked Jan 12, 2016
1,994 views
CAT 2004 | Question: 48
Suppose $n$ is an integer such that the sum of the digits of $n$ is $2,$ and $10^{10} < n < 10^{11}$. The number of different values for $n$ is $11$ $10$ $9$ $8$
Suppose $n$ is an integer such that the sum of the digits of $n$ is $2,$ and $10^{10} < n < 10^{11}$. The number of different values for $n$ is$11$$10$$9$$8$
Link Copied!