Latest TCS Aptitude Question SOLUTION: 12 towns divided into 4 zones with 3 town in each. Every town of same zone is connected to the town in its zone with 3 direct telephone lines. The town from one zone is connected t

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12 towns divided into 4 zones with 3 town in each. Every town of same zone is connected to the town in its zone with 3 direct telephone lines. The town from one zone is connected to town of other zone by one direct line. How many direct lines are required?

Asked In TCS tanweer saleem baig (10 years ago)

Solved aravind Read Solution (23)

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Read Solution (23) :

HEMANTH PRITHVI PUVVULA  (10 years ago)

EACH ZONE HAS 3 TOWNS THEY ARE INTER BY 3 DIRECT LINES =>3*3=9
THERA ARE 4 ZONES WITH SAME NO. OF TOWNS => 9*4=36
NOW EACH TOWN OF ONE ZONE IS CONNECTED TO OTHER ZONES TOWN BY ONE DIRECT LINE
HERE WE CAN NOTE EVERY TOWN OF A ZONE HAS THREE CONNECTIONS TO OTHER ZONE
HENCE EACH ZONE HAS 9 CONNECTIONS WITH OTHER ZONE AS 4(ZONS)*9(EACH)=36
NOW 2 OF THE ZONES WIL HAVE CROSS CONNECTIONS (IF YOU DRAW DIAGRAM U CAN NOTICE)
HENCE 2(TOWNS)*9(EACH)=18
36+36+18=90 IS ANSWER

Is this solution Helpfull? Yes (19) | No (2)  

aravind  (10 years ago)

Consider a town in Zone 1. There are 9 towns outside this zone.

Hence 9 lines are required to connect between this town and the other 9 towns.

Similarly, there are 12 towns, each with 9 towns outside its own zone.

So, totally, there will be 9*12 / 2 = 9* 6 = 54 lines inter zone (Divided by 2 comes here because, after half, it is repeated).

Alternate way for inter zone:

1st zone each town has to connect to 9 other towns = 27 lines.

2nd zone – each town has to connect to 6 other zones, as the 1st zone is already accounted for. So 6*3 = 18.

3rd zone – each town has to connect to 3 other zones, as the 1st and 2nd zone is already accounted for. So 3 * 3 = 9.

4th zone is accounted for already.

Hence, totally 26 + 18 + 9 = 54 zones.

So, the total number of lines will be 36 (within zone) + 54 ( inter zone) = 90.

Is this solution Helpfull? Yes (14) | No   

Rahul Rana  (10 years ago)

1st zone each town has to connect to 9 other towns = 27 lines.

2nd zone – each town has to connect to 6 other zones, as the 1st zone is already accounted for. So 6*3 = 18.

3rd zone – each town has to connect to 3 other zones, as the 1st and 2nd zone is already accounted for. So 3 * 3 = 9.

4th zone is accounted for already.

Hence, totally 26 + 18 + 9 = 54 zones.

So, the total number of lines will be 36 (within zone) + 54 ( inter zone) = 90.

Is this solution Helpfull? Yes (5) | No   

thushara  (10 years ago)

12 direct lines + 4 = 16

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anilreddysyamala  (10 years ago)

i got the answer : 66

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k.v.v.varun  (10 years ago)

we have 12 towns each town has 9 connections then ans = 9*12=108 direct lines

Is this solution Helpfull? Yes (1) | No (3)  

venkata satya kumar  (10 years ago)

i think 40 is the answer

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varaj  (9 years ago)

4 zones with 3 towns and 3 direct lines so each town has 3 direct lines.
then totally 12 towns so 3 direct lines * 12 towns =36 direct lines.
then each town in the zone is connected to another zone town via one direct line.
consider first town and first zone so it has 3 connection with second zone and 3 connection with third zone and 3 connection with fourth zone . totally in first zone , each town has 9 lines with other zone (towns). then 36+9+9+9=72.the second town is already connected with first zone.it has possibility of third and fourth town so 9 direct lines. then 72+9=81
and third zone is already connected with first and second zone only possible is fourth zone and it has 9 direct lines.then 81+9=90. and fourth zone is connected with all zones already/........
( draw the zones and towns then it is very easy)

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venkata satya kumar  (10 years ago)

12 is the answer

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jagadeesh kumar.B  (10 years ago)

we have 12 towns where each town is connected with other with the help of 9 direct lines as a result we have 27 direct lines(9*9*9)...

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dattu  (10 years ago)

answer is 27

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vimal  (10 years ago)

koi theek se bataao yr

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eswar  (10 years ago)

asked only direct lines but not direct telephone lines so 3*9=27 is the answer

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Anchuri Sandeep Reddy  (10 years ago)

Mr hemanth prithvi, you have calculated a single direct line connected to to places a 2, so i think u r wrong.....

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Sunku Mounika  (10 years ago)

Answer is 38 I think

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gangadhar  (10 years ago)

each zone town is connected to remaining all towns of zones in 120 ways

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mukesh prashad  (10 years ago)

3*4+9+6+3=30 ans

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Midhun golla  (10 years ago)

total 15
for each zone we need 3 direct lines so total=12 and
to connect each zone we need 3 lines ,
so totally 15 lines

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siva  (10 years ago)

29..
in every zone there are 9 lines and one line connected to other zone..

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raj sekhar  (10 years ago)

Sir, please provide the diagram.

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Anirban Chakraborty  (9 years ago)

as there are 12 towns so each town is connected with the other 11 towns by 11 direct lines, so for another town, it needs 10 direct lines to connct, then town 3 needs 9 connection town 4 needs 8 connection and so on. so 11+10+9+......+1=66 will be the ans.

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Ankit Prajapati  (9 years ago)

Follow this link for ans:
http://360dpp.com/12-towns-divided-into-4-zones-with-3-town-in-each-every-town-of-same-zone-is-connected-to-the-town-in-its-zone-with-3-direct-telephone-lines-the-town-from-one-zone-is-connected-to-town-of-other-zone/

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Shashank Mishra  (6 years ago)

There will be total 12 individual direct lines of each town and one connection to other means 4 connection lines 12+4 = 16 lines total

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