In a maThematic there are 1,2,3,....9 cities  and each number corresponds to a city. Now an airflight route is to be established between two cities such that the numeral formed is divisible by 3. (eg. if 1 and 2 are connected then it satisfies the condition). Find out the number of cities which are connected to city 8, either directly or indirectly.

5 cities 

Rohit can catch either the harbour line train or main line train from his nearest railway station kandala to reach his office. Both the trains have a frequency of 10 min in the morning office hours. The harbour line trains arrive every ten min starting from 5a.m and the main trains arrive every 10 min starting from 5.02a.m. If rohit reaches the railway station random time in the morning to catch the first available train. What is the probability that he will catch the harbour line train.

Tanveer and kunal went down a descending escalator. the escalator was going down at a constant speed. kunal walked down the steps and had cover 50 steps to reach the bottom. Tanveer on the other hand , ran down the steps of the escalator and take 75 steps to reach the bottom. actually, Tanveer took 3 steps in the same time it took kunal to take 1 step. how many steps would be visible when the escalator is stopped and is not operating.

At six o clock the wall clock struck 6 times checking with my watch, I noticed that the time between the first and last strokes was 30 seconds. How long will the clock take to strike 12 at midnight

The members of a certain tribe are divided into three castes Abhor, Dravid, and Magar castes.An Abhor woman cannot marry a dravid man.A magar man cannot marry a Dravid woman.A son takes the caste of his father, a daugher takes the caste of her moher.all marriages except those mentioned above are permitted.There are no children born out of wed lock. Questions:1) An abhor woman marries and has the children, all of whom are members of the abhor caste. Which of the folloing must be true?i)  

At 6 o clock, clock ticks 6 times. The time between first and last ticks was 30sec. How much time it takes at 12 o clock.

66 sec. . 

Three friends divided some bullets equally. After all of them shot 4 bullets the total no. of remaining bullets is equal to that of one has after division. Find the original number divided.

x x x x-4 x-4 x-4 3x-12 = x x= 6 answer is 18  

A ship went on a voyage after 180 miles a plane started with 10 times speed that of the ship. Find the distance when they meet from starting point.

180 + (x/10) = x x = 20 answer is 180+20=200miles.  

There are 3 societies a, b, and c. A lent tractors to B and C as many as they had. After some time B gave as many tractors to A and C as many as they have. After sometime c did the same thing. At the end of this transaction each one of them had 24. Find the tractors each originally had.

A had 39, B had 21, C had 12,  

There N stations on a railroad. After adding x stations 46 additional tickets have to be printed. Find N and X.

let N(N-1) = t; (N+x)(N+x-1) = t+46; trail and error method x=2 and N=11