A train takes 50 sec to cross a boy travelling at 6 kmph in the opposite direction to it. Another train which is half as long as and 25% faster takes 30 sec to cross the stationary pole. Find the approximate length of the second train.

A boy goes to school at a speed of 5 km/h and returns to the village at a speed of 4 km/h. If he takes 4 hours and 30 minutes in all, what is the distance between the village and the school?

On what sum of money will the simple interest for 3 years at 8 percent per annum be half of the compound interest on Rs. 800 for 2 years at 10 percent per annum?

A construction company has 100/3% of its employees as women. 50% of these women are married and 100/3% of married women have children. 75% of the men are married and 200/3% of married men have children. If no two employees are married to each other what fraction of the employees do not have children?

A 180 meters long passenger train crosses a 360 meters long express train running in the opposite direction in 12 seconds. If the ratio of the speed of the passenger train to that of express train is 1 : 4 then find the speed of the express train?

By what percentage above the cost price, a fan should be sold if a shopkeeper wants to make a profit of Rs. 500 and the marked price of the article is Rs. 6000 which is 50% above the cost price?

The average age of a man’s wife, and his twin daughters is 45 years. The ratio of the age of wife and a daughter is 5 : 1. What is the age of father?

In a mixture of Rum and water, the concentration of Rum is 56%. 200 ml of this mixture was mixed with another mixture P of Rum and water, to get 300 ml mixture of Rum and water. The concentration of rum in the new mixture becomes 40%. What should be the concentration of Water in the mixture P?

Two inlet pipes P and Q can fill a water tank in 20 minutes and 30 minutes respectively. Another outlet pipe R can empty the water tank in 40 minutes. If all the three pipes were opened together but Pipe R was closed 5 minutes before the tank was filled. In how many minutes the tank was filled?

Two friends A and B invested in a business together Rs. 45000. At the end of 6 months, A withdraws half of his investments but B added 3 times of A’s initial investments. At the end of one – year, the ratio of profit share of A and B is 3 : 7. The initial investment of A was how much more/less than that of B?

The numerical value of the speed of the train is three more than twice of the time taken by the train to cover 495 km. What is the respective ratio of the numerical value of the time taken by train to cover 825 km and the speed of the train?

In a forest, there are some venomous snakes and some non-venomous snakes. An ayurvedic company executive goes to the forest to catch some venomous snakes then the probability that one venomous snake is caught is 2/17. If in the forest there are total 153 snakes, then how many non – venomous snakes are there in the forest?

A, B and C start a business. A invests four times as much as B invests and the investment of C was x% less than that of B. At the end of one – year, out of total profit of Rs. 5700, A’s share was Rs. 4000. What was the difference between B’s share and that of C’s share?

A container 'P' contains milk and water in the ratio of 4 : 5 respectively and another container 'Q' contains milk and water in the ratio of 3 : 2 respectively. If both the containers are emptied into a larger container R , then what would be the ratio of water and milk in the larger container?