Register

CAT 2000 | Question: 104

• edited by
1,486 views
–1 –1 vote

There are three cities A, B and C, each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are $33$ routes from A to B (including those via C). Similarly there are $23$ routes from B to C (including those via A). How many roads are there from A to C directly?

  1. $6$
  2. $3$
  3. $5$
  4. $10$

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 –1 vote
0 0 answers
1.1k
1.1k views
Misbah Ghaya asked Jul 16, 2017
1,121 views
CAT 1996 | Question: 104
Use the following data:A manufacturer can choose from any of the three types of tests available for checking the quality of his product. The graph gives the relative cost...
0 0 votes
0 0 answers
2.3k
2.3k views
go_editor asked May 1, 2016
2,291 views
CAT 2000 | Question: 74
$\text{A, B, C}$ are three numbers. Let $@ \text{(A, B)} =$ average of $\text{A}$ and $\text{B}$, $/ \text{(A, B)} = $ product of $\text{A}$ and $\text{B}$, and $\text{X...
0 0 votes
0 0 answers
1.8k
1.8k views
go_editor asked May 1, 2016
1,811 views
CAT 2000 | Question: 76
Answer the following question based on the information given below.For real numbers $x, y,$ let$f(x, y) = \left\{\begin{matrix} \text{Positive square-root of}\; (x + y),\...
0 0 votes
0 0 answers
1.4k
1.4k views
go_editor asked May 1, 2016
1,369 views
CAT 2000 | Question: 79
Answer the following question based on the information given below.For three distinct real numbers $x, y$ and $z,$ let$f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x...
0 0 votes
1 1 answer
2.5k
2.5k views
go_editor asked May 1, 2016
2,489 views
CAT 2000 | Question: 78
Answer the following question based on the information given below.For three distinct real numbers $x, y$ and $z,$ let$f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x...