Latest TCS Aptitude Question SOLUTION: 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 on city (origin) to anot

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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 on 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?

Asked In TCS ANURAG RANJAN (7 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

Diddige Susmitha  (7 years ago)

let number of direct roads between A and B = x
B and C = y
C and A = z
x+z*y = 33 .......(1)
y+x*z = 23 .........(2)
on solving above equations we get z = 10/(y-x) +1
z must be an integer as it indicates number of roads
so y-x can be 1,2,5,10
for y-x =2 equations (1) and (2) are satisfied
=> z = 6

Is this solution Helpfull? Yes (17) | No (3)  

Shaik Mastanvali  (7 years ago)

Here the person wants to travel from A to B(Via C):A........C.......B
And From B to C( via A):B.........A..........C
We have calculate ways between A&C
i.e A.....C.....B-B.....A.....C= 33-23=10 Ways
We have 10 ways from A to C

Is this solution Helpfull? Yes (4) | No (7)  

hari  (7 years ago)

ans :10
33-23=10

Is this solution Helpfull? Yes (1) | No (11)  

bikram mukherjee  (7 years ago)

a----c-----b routes are 33
b----a-----c routes are 23
so in the 1st condition a-c 33 routes possible and the second a-c 23 possible outcomes....directly ...so ans is 56.

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