Register

CAT 2000 | Question: 104

• edited by
907 views
–1 votes
–1 votes

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. $10$
• 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

0 votes
0 votes
0 answers
3
go_editor asked May 1, 2016
768 views
CAT 2000 | Question: 76
Answer the following question based on the information given below. For real numbers $x, y,$ ... $x$ and $y$ are less than $-1$ Both $x$ and $y$ are positive Both $x$ and $y$ are negative $y > x$
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 votes
0 votes
0 answers
4
go_editor asked May 1, 2016
454 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 $f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x))$ $g(x, y, z) = \max(\min(x, y), \min(y, z), \min(z, x))$ ... $(h(x, y, z) - f(x, y, z))/(n(x, y, z) - g(x, y, z))$
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 votes
0 votes
1 answer
5
go_editor asked May 1, 2016
1,212 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 $f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x))$ $g(x, y, z) = \max(\min(x, y), \min(y, z), \min(z, x))$ ... $(j(x, y, z) - g(x, y, z))/h(x, y, z)$ $(f(x, y, z) - h(x, y, z))/f(x, y, z)$
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...
Link Copied!